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Mock Test 1 · Result
Submitted 10 Nov 2026, 7:34 pm · auto-submitted when time ran out
| Name | Qs | Attempted | Correct | Wrong | Score | Accuracy | Time |
|---|---|---|---|---|---|---|---|
| Reasoning Ability | 40 | 0 | 0 | 0 | 0.00 | — | 12s |
| Quantitative Aptitude | 40 | 3 | 0 | 3 | -0.75 | 0% | 3m 45s |
Accuracy = correct ÷ attempted. Practise weak topics with past questions from the topic link.
| Name | Qs | Attempted | Correct | Wrong | Score | Accuracy | Time | Status |
|---|---|---|---|---|---|---|---|---|
| Simplification/Approximation | 5 | 3 | 0 | 3 | -0.75 | 0% | 7s | Weak |
| Seating Arrangement - Linear | 5 | 0 | 0 | 0 | 0.00 | — | 12s | Not attempted |
| Order & Ranking | 3 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Inequality | 3 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Miscellaneous Reasoning | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Puzzles | 10 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Direction Sense | 3 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Syllogism | 4 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Blood Relations | 3 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Alphanumeric/Symbol Series | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Word/Letter Formation | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Seating Arrangement - Circular | 5 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Coding-Decoding | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Number Series | 5 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Quadratic Equations | 5 | 0 | 0 | 0 | 0.00 | — | 6s | Not attempted |
| Data Interpretation | 12 | 0 | 0 | 0 | 0.00 | — | 3m 32s | Not attempted |
| Percentage | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Profit & Loss | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Simple & Compound Interest | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Ratio & Proportion | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Partnership | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Average | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Ages | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Mixture & Alligation | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Time & Work | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Boats & Streams | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Trains | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Mensuration | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
| Pipes & Cisterns | 1 | 0 | 0 | 0 | 0.00 | — | 0s | Not attempted |
Bar height is the time you spent. Green = correct, red = wrong, grey = not answered.
Directions (1-5): Study the following information carefully and answer the questions given below. Eight persons – A, B, C, D, E, F, G and H – sit in a straight row. Some of them face north while the others face south. They do not necessarily sit in the same order. D sits at one of the extreme ends of the row and faces south. D sits immediately to the left of B. B faces the same direction as D. Three persons sit between D and G. Both the immediate neighbours of G face the direction opposite to that of G. A sits second to the left of C. C sits immediately to the left of F. H and A are immediate neighbours of each other and face opposite directions. The number of persons facing north is the same as the number of persons facing south.
What is the position of H with respect to F?
Solution
F faces north, so its left is towards the west. Counting west from F: C (1st), G (2nd), A (3rd), H (4th). H is fourth to the left of F.
Row from west to east (N = faces north, S = faces south): E(N) – H(S) – A(N) – G(S) – C(N) – F(N) – B(S) – D(S) Steps: B faces south (same as D), so B's left is east; D sits immediately left of B at an end, so D is at the east end and B is just west of D. Three persons between D and G put G 4th from the west end. A–C–F fit only as A(3rd), C(5th), F(6th) with C and F facing north, or as F(2nd), C(3rd), A(5th) with C and F facing south (other placements leave no seat for H next to A). In the second case H is 6th, G faces north, A faces south, and F, C, A, B, D all face south (five persons) – rejected. So H is 2nd and E is 1st; G's neighbours A and C face north, so G faces south; H faces south (opposite of A) and E faces north to make 4 north and 4 south.
Directions (1-5): Study the following information carefully and answer the questions given below. Eight persons – A, B, C, D, E, F, G and H – sit in a straight row. Some of them face north while the others face south. They do not necessarily sit in the same order. D sits at one of the extreme ends of the row and faces south. D sits immediately to the left of B. B faces the same direction as D. Three persons sit between D and G. Both the immediate neighbours of G face the direction opposite to that of G. A sits second to the left of C. C sits immediately to the left of F. H and A are immediate neighbours of each other and face opposite directions. The number of persons facing north is the same as the number of persons facing south.
Who sits second to the right of the one who sits immediately to the left of G?
Solution
G faces south, so its immediate left is C. C faces north; second to the right of C is B.
Row from west to east (N = faces north, S = faces south): E(N) – H(S) – A(N) – G(S) – C(N) – F(N) – B(S) – D(S) Steps: B faces south (same as D), so B's left is east; D sits immediately left of B at an end, so D is at the east end and B is just west of D. Three persons between D and G put G 4th from the west end. A–C–F fit only as A(3rd), C(5th), F(6th) with C and F facing north, or as F(2nd), C(3rd), A(5th) with C and F facing south (other placements leave no seat for H next to A). In the second case H is 6th, G faces north, A faces south, and F, C, A, B, D all face south (five persons) – rejected. So H is 2nd and E is 1st; G's neighbours A and C face north, so G faces south; H faces south (opposite of A) and E faces north to make 4 north and 4 south.
Directions (1-5): Study the following information carefully and answer the questions given below. Eight persons – A, B, C, D, E, F, G and H – sit in a straight row. Some of them face north while the others face south. They do not necessarily sit in the same order. D sits at one of the extreme ends of the row and faces south. D sits immediately to the left of B. B faces the same direction as D. Three persons sit between D and G. Both the immediate neighbours of G face the direction opposite to that of G. A sits second to the left of C. C sits immediately to the left of F. H and A are immediate neighbours of each other and face opposite directions. The number of persons facing north is the same as the number of persons facing south.
Four of the following five pairs are alike in a certain way based on the given arrangement and thus form a group. Which pair does not belong to that group?
Solution
In each pair the second person sits second to the right of the first: E→A, G→H (G faces south), C→B, D→F (D faces south). For H (faces south), G sits second to the LEFT, so H – G is the odd one.
Row from west to east (N = faces north, S = faces south): E(N) – H(S) – A(N) – G(S) – C(N) – F(N) – B(S) – D(S) Steps: B faces south (same as D), so B's left is east; D sits immediately left of B at an end, so D is at the east end and B is just west of D. Three persons between D and G put G 4th from the west end. A–C–F fit only as A(3rd), C(5th), F(6th) with C and F facing north, or as F(2nd), C(3rd), A(5th) with C and F facing south (other placements leave no seat for H next to A). In the second case H is 6th, G faces north, A faces south, and F, C, A, B, D all face south (five persons) – rejected. So H is 2nd and E is 1st; G's neighbours A and C face north, so G faces south; H faces south (opposite of A) and E faces north to make 4 north and 4 south.
Directions (1-5): Study the following information carefully and answer the questions given below. Eight persons – A, B, C, D, E, F, G and H – sit in a straight row. Some of them face north while the others face south. They do not necessarily sit in the same order. D sits at one of the extreme ends of the row and faces south. D sits immediately to the left of B. B faces the same direction as D. Three persons sit between D and G. Both the immediate neighbours of G face the direction opposite to that of G. A sits second to the left of C. C sits immediately to the left of F. H and A are immediate neighbours of each other and face opposite directions. The number of persons facing north is the same as the number of persons facing south.
How many persons sit between A and the one who sits immediately to the right of F?
Solution
F faces north, so its immediate right is B. Between A and B sit G, C and F – three persons.
Row from west to east (N = faces north, S = faces south): E(N) – H(S) – A(N) – G(S) – C(N) – F(N) – B(S) – D(S) Steps: B faces south (same as D), so B's left is east; D sits immediately left of B at an end, so D is at the east end and B is just west of D. Three persons between D and G put G 4th from the west end. A–C–F fit only as A(3rd), C(5th), F(6th) with C and F facing north, or as F(2nd), C(3rd), A(5th) with C and F facing south (other placements leave no seat for H next to A). In the second case H is 6th, G faces north, A faces south, and F, C, A, B, D all face south (five persons) – rejected. So H is 2nd and E is 1st; G's neighbours A and C face north, so G faces south; H faces south (opposite of A) and E faces north to make 4 north and 4 south.
Directions (1-5): Study the following information carefully and answer the questions given below. Eight persons – A, B, C, D, E, F, G and H – sit in a straight row. Some of them face north while the others face south. They do not necessarily sit in the same order. D sits at one of the extreme ends of the row and faces south. D sits immediately to the left of B. B faces the same direction as D. Three persons sit between D and G. Both the immediate neighbours of G face the direction opposite to that of G. A sits second to the left of C. C sits immediately to the left of F. H and A are immediate neighbours of each other and face opposite directions. The number of persons facing north is the same as the number of persons facing south.
Which of the following statements is/are true? I. E sits at one of the extreme ends of the row. II. G faces north. III. Exactly two persons sit between H and C.
Solution
I is true (E is at the west end). II is false (G faces south). III is true (A and G sit between H and C).
Row from west to east (N = faces north, S = faces south): E(N) – H(S) – A(N) – G(S) – C(N) – F(N) – B(S) – D(S) Steps: B faces south (same as D), so B's left is east; D sits immediately left of B at an end, so D is at the east end and B is just west of D. Three persons between D and G put G 4th from the west end. A–C–F fit only as A(3rd), C(5th), F(6th) with C and F facing north, or as F(2nd), C(3rd), A(5th) with C and F facing south (other placements leave no seat for H next to A). In the second case H is 6th, G faces north, A faces south, and F, C, A, B, D all face south (five persons) – rejected. So H is 2nd and E is 1st; G's neighbours A and C face north, so G faces south; H faces south (opposite of A) and E faces north to make 4 north and 4 south.
Study the following information carefully and answer the questions given below: Seven persons – P, Q, R, S, T, U and V – are of different heights. P is taller than R but shorter than U. Only two persons are taller than P. V is shorter than P but taller than Q. The number of persons taller than V is the same as the number of persons shorter than V. T is shorter than Q. U is not the tallest person. Q is not the third shortest person. The height of the second tallest person is 172 cm.
Who among the following is the third shortest person?
Solution
Order (tallest → shortest): S, U, P, V, R, Q, T. Third shortest = 5th tallest = R (T is shortest, Q is second shortest).
Tallest to shortest: S > U (172 cm) > P > V > R > Q > T. Only two taller than P ⇒ P is 3rd. V is shorter than P and has equal numbers above and below ⇒ V is 4th. R, Q and T are all shorter than P/V ⇒ they take 5th–7th, so S and U take 1st–2nd; U is not the tallest ⇒ S 1st, U 2nd (172 cm). T < Q and Q is not 3rd shortest (5th) ⇒ Q 6th, T 7th, R 5th.
Study the following information carefully and answer the questions given below: Seven persons – P, Q, R, S, T, U and V – are of different heights. P is taller than R but shorter than U. Only two persons are taller than P. V is shorter than P but taller than Q. The number of persons taller than V is the same as the number of persons shorter than V. T is shorter than Q. U is not the tallest person. Q is not the third shortest person. The height of the second tallest person is 172 cm.
If the height of V is 160 cm, then which of the following can be the height of P?
Solution
P is 3rd tallest, between U (2nd, 172 cm) and V (4th, 160 cm). So 160 < P < 172 (heights are all different). Only 166 cm fits.
Tallest to shortest: S > U (172 cm) > P > V > R > Q > T. Only two taller than P ⇒ P is 3rd. V is shorter than P and has equal numbers above and below ⇒ V is 4th. R, Q and T are all shorter than P/V ⇒ they take 5th–7th, so S and U take 1st–2nd; U is not the tallest ⇒ S 1st, U 2nd (172 cm). T < Q and Q is not 3rd shortest (5th) ⇒ Q 6th, T 7th, R 5th.
Study the following information carefully and answer the questions given below: Seven persons – P, Q, R, S, T, U and V – are of different heights. P is taller than R but shorter than U. Only two persons are taller than P. V is shorter than P but taller than Q. The number of persons taller than V is the same as the number of persons shorter than V. T is shorter than Q. U is not the tallest person. Q is not the third shortest person. The height of the second tallest person is 172 cm.
How many persons are taller than the one who is immediately shorter than V?
Solution
V is 4th tallest; the person immediately shorter than V is R (5th tallest). Persons taller than R: S, U, P, V = Four.
Tallest to shortest: S > U (172 cm) > P > V > R > Q > T. Only two taller than P ⇒ P is 3rd. V is shorter than P and has equal numbers above and below ⇒ V is 4th. R, Q and T are all shorter than P/V ⇒ they take 5th–7th, so S and U take 1st–2nd; U is not the tallest ⇒ S 1st, U 2nd (172 cm). T < Q and Q is not 3rd shortest (5th) ⇒ Q 6th, T 7th, R 5th.
Statements: K ≥ L > M = N; P < M ≤ R; S ≥ K Conclusions: I. R > L II. P > N
Solution
I: L > M ≤ R – the signs point in opposite directions, so no relation between R and L. Not true. II: P < M = N ⇒ P < N, so P > N is false. Neither follows.
Statements: D < E ≤ F = G; H ≥ F > J; K > D Conclusions: I. H ≥ E II. K > G
Solution
I: H ≥ F ≥ E ⇒ H ≥ E. True. II: K > D < E ≤ F = G – opposite signs at D, so K and G cannot be compared. Not true. Only I follows.
Statements: T ≥ U = V > W; X ≤ V < Y; Z ≥ T Conclusions: I. X > W II. X ≤ W
Solution
X ≤ V > W – no definite relation between X and W, so neither I nor II is definitely true on its own. But I (X > W) and II (X ≤ W) together cover every possibility for the same pair, so exactly one of them must be true. Either I or II follows.
Following are five three-digit numbers: 524 371 689 912 436 If the first and the third digits of each number are interchanged, then what is the product of the first and the second digits of the second highest number thus formed?
Solution
After interchanging: 425, 173, 986, 219, 634. Descending: 986 > 634 > 425 > 219 > 173. Second highest = 634. Product of first and second digits = 6 × 3 = 18.
Directions (13-17): Study the following information carefully and answer the questions given below. Seven persons – P, Q, R, S, T, U and V – live on seven different floors of a building, one person on each floor. The lowermost floor is numbered 1, the floor above it is numbered 2 and so on till the topmost floor, which is numbered 7. Each of them is from a different city – Agra, Bhopal, Chennai, Delhi, Indore, Jaipur and Patna – but not necessarily in the same order. The one from Agra lives immediately above P. Two persons live between P and the one from Delhi. U lives three floors below V. Only one person lives between U and the one from Jaipur. The one from Chennai lives immediately below the one from Jaipur. The one from Patna lives immediately below the one from Delhi. The number of persons living above Q is the same as the number of persons living below the one from Indore. Q lives above P but below T. S lives on an odd-numbered floor above R.
Who lives on the floor immediately above the one who is from Chennai?
Solution
S, from Chennai, lives on floor 3. Floor 4 is P.
Floor 7: T – Delhi Floor 6: Q – Patna Floor 5: V – Agra Floor 4: P – Jaipur Floor 3: S – Chennai Floor 2: U – Indore Floor 1: R – Bhopal
Directions (13-17): Study the following information carefully and answer the questions given below. Seven persons – P, Q, R, S, T, U and V – live on seven different floors of a building, one person on each floor. The lowermost floor is numbered 1, the floor above it is numbered 2 and so on till the topmost floor, which is numbered 7. Each of them is from a different city – Agra, Bhopal, Chennai, Delhi, Indore, Jaipur and Patna – but not necessarily in the same order. The one from Agra lives immediately above P. Two persons live between P and the one from Delhi. U lives three floors below V. Only one person lives between U and the one from Jaipur. The one from Chennai lives immediately below the one from Jaipur. The one from Patna lives immediately below the one from Delhi. The number of persons living above Q is the same as the number of persons living below the one from Indore. Q lives above P but below T. S lives on an odd-numbered floor above R.
How many persons live between S and the one who is from Patna?
Solution
S is on floor 3 and Q (Patna) is on floor 6. P and V live between them – two persons.
Floor 7: T – Delhi Floor 6: Q – Patna Floor 5: V – Agra Floor 4: P – Jaipur Floor 3: S – Chennai Floor 2: U – Indore Floor 1: R – Bhopal
Directions (13-17): Study the following information carefully and answer the questions given below. Seven persons – P, Q, R, S, T, U and V – live on seven different floors of a building, one person on each floor. The lowermost floor is numbered 1, the floor above it is numbered 2 and so on till the topmost floor, which is numbered 7. Each of them is from a different city – Agra, Bhopal, Chennai, Delhi, Indore, Jaipur and Patna – but not necessarily in the same order. The one from Agra lives immediately above P. Two persons live between P and the one from Delhi. U lives three floors below V. Only one person lives between U and the one from Jaipur. The one from Chennai lives immediately below the one from Jaipur. The one from Patna lives immediately below the one from Delhi. The number of persons living above Q is the same as the number of persons living below the one from Indore. Q lives above P but below T. S lives on an odd-numbered floor above R.
Four of the following five are alike in a certain way based on the given arrangement and thus form a group. Which one does not belong to that group?
Solution
In each pair the person lives immediately below the one from the given city: R(1) below Indore(2), S(3) below Jaipur(4), V(5) below Patna(6), Q(6) below Delhi(7). U is on floor 2 but Agra is floor 5, so U – Agra is odd.
Floor 7: T – Delhi Floor 6: Q – Patna Floor 5: V – Agra Floor 4: P – Jaipur Floor 3: S – Chennai Floor 2: U – Indore Floor 1: R – Bhopal
Directions (13-17): Study the following information carefully and answer the questions given below. Seven persons – P, Q, R, S, T, U and V – live on seven different floors of a building, one person on each floor. The lowermost floor is numbered 1, the floor above it is numbered 2 and so on till the topmost floor, which is numbered 7. Each of them is from a different city – Agra, Bhopal, Chennai, Delhi, Indore, Jaipur and Patna – but not necessarily in the same order. The one from Agra lives immediately above P. Two persons live between P and the one from Delhi. U lives three floors below V. Only one person lives between U and the one from Jaipur. The one from Chennai lives immediately below the one from Jaipur. The one from Patna lives immediately below the one from Delhi. The number of persons living above Q is the same as the number of persons living below the one from Indore. Q lives above P but below T. S lives on an odd-numbered floor above R.
Which of the following combinations (Floor – Person – City) is correct?
Solution
Floor 5 is V from Agra. (P is from Jaipur, floor 2 is U, floor 6 is Q, S is from Chennai.)
Floor 7: T – Delhi Floor 6: Q – Patna Floor 5: V – Agra Floor 4: P – Jaipur Floor 3: S – Chennai Floor 2: U – Indore Floor 1: R – Bhopal
Directions (13-17): Study the following information carefully and answer the questions given below. Seven persons – P, Q, R, S, T, U and V – live on seven different floors of a building, one person on each floor. The lowermost floor is numbered 1, the floor above it is numbered 2 and so on till the topmost floor, which is numbered 7. Each of them is from a different city – Agra, Bhopal, Chennai, Delhi, Indore, Jaipur and Patna – but not necessarily in the same order. The one from Agra lives immediately above P. Two persons live between P and the one from Delhi. U lives three floors below V. Only one person lives between U and the one from Jaipur. The one from Chennai lives immediately below the one from Jaipur. The one from Patna lives immediately below the one from Delhi. The number of persons living above Q is the same as the number of persons living below the one from Indore. Q lives above P but below T. S lives on an odd-numbered floor above R.
If all the persons are arranged in alphabetical order from top to bottom (P on floor 7, Q on floor 6 and so on), how many persons will live on the same floor as before?
Solution
New order: P-7, Q-6, R-5, S-4, T-3, U-2, V-1. Only Q (floor 6) and U (floor 2) remain unchanged – two persons.
Floor 7: T – Delhi Floor 6: Q – Patna Floor 5: V – Agra Floor 4: P – Jaipur Floor 3: S – Chennai Floor 2: U – Indore Floor 1: R – Bhopal
Study the following information carefully and answer the questions given below: Point A is 9m north of Point B. Point C is 12m east of Point B. Point D is 7m south of Point C. Point E is 5m west of Point D. Point F is 16m north of Point E. Point G is 5m east of Point F.
In which direction is Point E with respect to Point A?
Solution
A = (0, 9), E = (7, −7). E is 7m to the east and 16m to the south of A ⇒ South-east.
Take B = (0, 0), east = +x, north = +y. A = (0, 9), C = (12, 0), D = (12, −7), E = (7, −7), F = (7, 9), G = (12, 9). So A, F and G lie on one east–west line (9m north of B); G is exactly north of C and D.
Study the following information carefully and answer the questions given below: Point A is 9m north of Point B. Point C is 12m east of Point B. Point D is 7m south of Point C. Point E is 5m west of Point D. Point F is 16m north of Point E. Point G is 5m east of Point F.
What is the shortest distance between Point A and Point C?
Solution
A is 9m north of B and C is 12m east of B. AC = √(9² + 12²) = √225 = 15m.
Take B = (0, 0), east = +x, north = +y. A = (0, 9), C = (12, 0), D = (12, −7), E = (7, −7), F = (7, 9), G = (12, 9). So A, F and G lie on one east–west line (9m north of B); G is exactly north of C and D.
Study the following information carefully and answer the questions given below: Point A is 9m north of Point B. Point C is 12m east of Point B. Point D is 7m south of Point C. Point E is 5m west of Point D. Point F is 16m north of Point E. Point G is 5m east of Point F.
How far and in which direction is Point G with respect to Point A?
Solution
F = (7, 9) is 7m east of A = (0, 9) (since E is 7m east of B and F is 16m north of E, i.e. 9m north of B). G is 5m east of F ⇒ G = (12, 9). So G is 12m East of A.
Take B = (0, 0), east = +x, north = +y. A = (0, 9), C = (12, 0), D = (12, −7), E = (7, −7), F = (7, 9), G = (12, 9). So A, F and G lie on one east–west line (9m north of B); G is exactly north of C and D.
Statements: Only a few pens are markers. All markers are files. No file is a folder. Conclusions: I. Some pens are not folders. II. All folders being pens is a possibility.
Solution
I: The pens that are markers are files, and no file is a folder ⇒ those pens are not folders. Follows. II: 'Only a few pens are markers' means some pens are not markers; folders can lie entirely in that part of pens (they stay away from files). Possible ⇒ follows. Both follow.
Statements: Some coins are notes. Only a few notes are cheques. No cheque is a draft. Conclusions: I. Some notes are not drafts. II. Some coins are drafts.
Solution
I: Some notes are cheques and no cheque is a draft ⇒ those notes are not drafts. Follows. II: Coins have no definite link with drafts (coins may or may not overlap drafts). Does not follow. Only I follows.
Statements: All rivers are lakes. Only a few lakes are ponds. No pond is a well. Conclusions: I. Some rivers are wells. II. No river is a well.
Solution
Rivers (inside lakes) may or may not overlap wells, so neither I nor II is definite by itself. I ('Some rivers are wells') and II ('No river is a well') are about the same pair and one of them must be true ⇒ Either I or II follows.
Statements: Only a few books are diaries. Some diaries are albums. All albums are notebooks. Conclusions: I. Some books are notebooks. II. All diaries being notebooks is a possibility.
Solution
I: The diaries that are books need not be the diaries that are albums, so books may have no link with notebooks. Does not follow. II: Nothing prevents all diaries from lying inside notebooks (albums are inside notebooks and some diaries are albums). Possible ⇒ follows. Only II follows.
Study the following information carefully and answer the questions given below: There are eight members – B, C, D, F, G, K, L and W – in a family of three generations. There is no single parent in the family. W is the wife of K. F is the daughter-in-law of K. D is the only son of W. C is the granddaughter of K. B is the brother of C, and F is the mother of B. L is the paternal aunt of C. G is the son-in-law of W.
How is G related to C?
Solution
L is C's paternal aunt (D's sister, daughter of K and W). G is W's son-in-law, so G is L's husband. Husband of the paternal aunt ⇒ G is C's uncle.
Generation 1: K (male) – W (female), married. Generation 2: D (male, only son of K & W) married to F (female); L (female, daughter of K & W) married to G (male). Generation 3: B (male) and C (female), children of D and F. Males: K, D, G, B (4). Females: W, F, L, C (4).
Study the following information carefully and answer the questions given below: There are eight members – B, C, D, F, G, K, L and W – in a family of three generations. There is no single parent in the family. W is the wife of K. F is the daughter-in-law of K. D is the only son of W. C is the granddaughter of K. B is the brother of C, and F is the mother of B. L is the paternal aunt of C. G is the son-in-law of W.
How many male members are there in the family?
Solution
K (husband of W), D (son), G (son-in-law) and B (brother) are males ⇒ Four. W, F, L and C are females.
Generation 1: K (male) – W (female), married. Generation 2: D (male, only son of K & W) married to F (female); L (female, daughter of K & W) married to G (male). Generation 3: B (male) and C (female), children of D and F. Males: K, D, G, B (4). Females: W, F, L, C (4).
Study the following information carefully and answer the questions given below: There are eight members – B, C, D, F, G, K, L and W – in a family of three generations. There is no single parent in the family. W is the wife of K. F is the daughter-in-law of K. D is the only son of W. C is the granddaughter of K. B is the brother of C, and F is the mother of B. L is the paternal aunt of C. G is the son-in-law of W.
How is L related to F?
Solution
F is the daughter-in-law of K; D is the only son, so F is D's wife. L is D's sister ⇒ L is F's husband's sister, i.e. sister-in-law.
Generation 1: K (male) – W (female), married. Generation 2: D (male, only son of K & W) married to F (female); L (female, daughter of K & W) married to G (male). Generation 3: B (male) and C (female), children of D and F. Males: K, D, G, B (4). Females: W, F, L, C (4).
Study the following arrangement carefully and answer the question: 7 R $ K 4 @ M B 2 # 9 E % 5 W & H 3 * T 8 D How many letters in the above arrangement are each immediately preceded by a symbol and immediately followed by a number?
Solution
Check each letter: K ($ K 4) ✓, M (@ M B) ✗, B (M B 2) ✗, R (7 R $) ✗, E (9 E %) ✗, W (5 W &) ✗, H (& H 3) ✓, T (* T 8) ✓, D (last) ✗. Count = Three (K, H, T).
In the word 'TRIBUNAL', how many pairs of letters have as many letters between them in the word as in the English alphabet (both in forward and backward directions)?
Solution
T R I B U N A L → T20 R18 I9 B2 U21 N14 A1 L12. R–U: 2 letters between in the word (I, B) and in the alphabet (S, T). R–N: 3 between (I, B, U) and (O, P, Q). R–L: 5 between (I, B, U, N, A) and (M, N, O, P, Q). N–L: 1 between (A) and (M). Total = Four.
Directions (30-34): Study the following information carefully and answer the questions given below. Eight persons – P, Q, R, S, T, U, V and W – sit around a circular table at equal distances. Some of them face towards the centre while the others face away from the centre. They do not necessarily sit in the same order. P faces the centre. Q sits third to the left of P. V sits second to the right of Q. U is an immediate neighbour of both T and Q. Q and U face the same direction. R sits opposite to S, and R and S face opposite directions. T sits third to the right of S. Exactly four persons face the centre.
What is the position of W with respect to U?
Solution
U faces the centre, so its left is clockwise: T (1st), R (2nd), W (3rd). W is third to the left of U.
Clockwise from P: P(centre) – V(away) – S(away) – Q(centre) – U(centre) – T(away) – R(centre) – W(away), and back to P. Facing the centre: P, Q, R, U. Facing away: S, T, V, W. (For a person facing the centre, 'right' is anticlockwise; for a person facing away, 'right' is clockwise.)
Directions (30-34): Study the following information carefully and answer the questions given below. Eight persons – P, Q, R, S, T, U, V and W – sit around a circular table at equal distances. Some of them face towards the centre while the others face away from the centre. They do not necessarily sit in the same order. P faces the centre. Q sits third to the left of P. V sits second to the right of Q. U is an immediate neighbour of both T and Q. Q and U face the same direction. R sits opposite to S, and R and S face opposite directions. T sits third to the right of S. Exactly four persons face the centre.
Who sits opposite to V?
Solution
Clockwise order P, V, S, Q, U, T, R, W – the person four places from V is T.
Clockwise from P: P(centre) – V(away) – S(away) – Q(centre) – U(centre) – T(away) – R(centre) – W(away), and back to P. Facing the centre: P, Q, R, U. Facing away: S, T, V, W. (For a person facing the centre, 'right' is anticlockwise; for a person facing away, 'right' is clockwise.)
Directions (30-34): Study the following information carefully and answer the questions given below. Eight persons – P, Q, R, S, T, U, V and W – sit around a circular table at equal distances. Some of them face towards the centre while the others face away from the centre. They do not necessarily sit in the same order. P faces the centre. Q sits third to the left of P. V sits second to the right of Q. U is an immediate neighbour of both T and Q. Q and U face the same direction. R sits opposite to S, and R and S face opposite directions. T sits third to the right of S. Exactly four persons face the centre.
Who sits third to the left of the one who sits immediately to the right of U?
Solution
U faces the centre, so U's right is anticlockwise: Q sits immediately to the right of U. Q faces the centre, so Q's left is clockwise: U, T, R. Third to the left of Q is R.
Clockwise from P: P(centre) – V(away) – S(away) – Q(centre) – U(centre) – T(away) – R(centre) – W(away), and back to P. Facing the centre: P, Q, R, U. Facing away: S, T, V, W. (For a person facing the centre, 'right' is anticlockwise; for a person facing away, 'right' is clockwise.)
Directions (30-34): Study the following information carefully and answer the questions given below. Eight persons – P, Q, R, S, T, U, V and W – sit around a circular table at equal distances. Some of them face towards the centre while the others face away from the centre. They do not necessarily sit in the same order. P faces the centre. Q sits third to the left of P. V sits second to the right of Q. U is an immediate neighbour of both T and Q. Q and U face the same direction. R sits opposite to S, and R and S face opposite directions. T sits third to the right of S. Exactly four persons face the centre.
How many persons sit between Q and W when counted from the left of Q?
Solution
Q faces the centre, so its left is clockwise: U, T, R and then W. Three persons sit between them.
Clockwise from P: P(centre) – V(away) – S(away) – Q(centre) – U(centre) – T(away) – R(centre) – W(away), and back to P. Facing the centre: P, Q, R, U. Facing away: S, T, V, W. (For a person facing the centre, 'right' is anticlockwise; for a person facing away, 'right' is clockwise.)
Directions (30-34): Study the following information carefully and answer the questions given below. Eight persons – P, Q, R, S, T, U, V and W – sit around a circular table at equal distances. Some of them face towards the centre while the others face away from the centre. They do not necessarily sit in the same order. P faces the centre. Q sits third to the left of P. V sits second to the right of Q. U is an immediate neighbour of both T and Q. Q and U face the same direction. R sits opposite to S, and R and S face opposite directions. T sits third to the right of S. Exactly four persons face the centre.
Which of the following statements is true?
Solution
Q faces the centre, so its immediate left (clockwise) is U – true. R faces centre, S faces away; second to the right of T (faces away) is W; P faces the centre; W's neighbours are P and R.
Clockwise from P: P(centre) – V(away) – S(away) – Q(centre) – U(centre) – T(away) – R(centre) – W(away), and back to P. Facing the centre: P, Q, R, U. Facing away: S, T, V, W. (For a person facing the centre, 'right' is anticlockwise; for a person facing away, 'right' is clockwise.)
Directions (35-39): Study the following information carefully and answer the questions given below. Ten persons – A, B, C, D, E, F, G, H, I and J – attend a workshop on two different dates, i.e. 9th and 23rd, of five different months – February, April, July, September and December – of the same year, but not necessarily in the same order. Only one person attends on each date. A attends on the 23rd of a month having 30 days. As many persons attend before A as after C. H attends in the same month as C. D and G attend in the same month, and G attends before D. J attends after D but before A. B attends in a month having 31 days. Only three persons attend between F and B, and B attends after F. I attends immediately after F. C attends after I.
Who attends the workshop on 9th July?
Solution
From the final table, F attends on 9th July and I on 23rd July.
9 Feb – G | 23 Feb – D 9 Apr – J | 23 Apr – A 9 Jul – F | 23 Jul – I 9 Sep – C | 23 Sep – H 9 Dec – B | 23 Dec – E
Directions (35-39): Study the following information carefully and answer the questions given below. Ten persons – A, B, C, D, E, F, G, H, I and J – attend a workshop on two different dates, i.e. 9th and 23rd, of five different months – February, April, July, September and December – of the same year, but not necessarily in the same order. Only one person attends on each date. A attends on the 23rd of a month having 30 days. As many persons attend before A as after C. H attends in the same month as C. D and G attend in the same month, and G attends before D. J attends after D but before A. B attends in a month having 31 days. Only three persons attend between F and B, and B attends after F. I attends immediately after F. C attends after I.
How many persons attend the workshop between J and H?
Solution
J is on 9th April and H on 23rd September. Between them: A, F, I and C – four persons.
9 Feb – G | 23 Feb – D 9 Apr – J | 23 Apr – A 9 Jul – F | 23 Jul – I 9 Sep – C | 23 Sep – H 9 Dec – B | 23 Dec – E
Directions (35-39): Study the following information carefully and answer the questions given below. Ten persons – A, B, C, D, E, F, G, H, I and J – attend a workshop on two different dates, i.e. 9th and 23rd, of five different months – February, April, July, September and December – of the same year, but not necessarily in the same order. Only one person attends on each date. A attends on the 23rd of a month having 30 days. As many persons attend before A as after C. H attends in the same month as C. D and G attend in the same month, and G attends before D. J attends after D but before A. B attends in a month having 31 days. Only three persons attend between F and B, and B attends after F. I attends immediately after F. C attends after I.
Four of the following five are alike in a certain way based on the given arrangement and thus form a group. Which one does not belong to that group?
Solution
In G – D (Feb), J – A (Apr), C – H (Sep) and F – I (Jul) both persons attend in the same month. I (July) and H (September) do not.
9 Feb – G | 23 Feb – D 9 Apr – J | 23 Apr – A 9 Jul – F | 23 Jul – I 9 Sep – C | 23 Sep – H 9 Dec – B | 23 Dec – E
Directions (35-39): Study the following information carefully and answer the questions given below. Ten persons – A, B, C, D, E, F, G, H, I and J – attend a workshop on two different dates, i.e. 9th and 23rd, of five different months – February, April, July, September and December – of the same year, but not necessarily in the same order. Only one person attends on each date. A attends on the 23rd of a month having 30 days. As many persons attend before A as after C. H attends in the same month as C. D and G attend in the same month, and G attends before D. J attends after D but before A. B attends in a month having 31 days. Only three persons attend between F and B, and B attends after F. I attends immediately after F. C attends after I.
Which of the following statements is/are true? I. B attends the workshop on 9th December. II. Two persons attend between D and A. III. E attends in the same month as B.
Solution
I is true. II is false – only J attends between D (23 Feb) and A (23 Apr). III is true – both B and E attend in December.
9 Feb – G | 23 Feb – D 9 Apr – J | 23 Apr – A 9 Jul – F | 23 Jul – I 9 Sep – C | 23 Sep – H 9 Dec – B | 23 Dec – E
Directions (35-39): Study the following information carefully and answer the questions given below. Ten persons – A, B, C, D, E, F, G, H, I and J – attend a workshop on two different dates, i.e. 9th and 23rd, of five different months – February, April, July, September and December – of the same year, but not necessarily in the same order. Only one person attends on each date. A attends on the 23rd of a month having 30 days. As many persons attend before A as after C. H attends in the same month as C. D and G attend in the same month, and G attends before D. J attends after D but before A. B attends in a month having 31 days. Only three persons attend between F and B, and B attends after F. I attends immediately after F. C attends after I.
If all the persons are arranged in alphabetical order from 9th February to 23rd December (A on 9th February, B on 23rd February and so on), how many persons will attend on the same date as before?
Solution
New order: A-9 Feb, B-23 Feb, C-9 Apr, D-23 Apr, E-9 Jul, F-23 Jul, G-9 Sep, H-23 Sep, I-9 Dec, J-23 Dec. Only H (23rd September) is unchanged – one person.
9 Feb – G | 23 Feb – D 9 Apr – J | 23 Apr – A 9 Jul – F | 23 Jul – I 9 Sep – C | 23 Sep – H 9 Dec – B | 23 Dec – E
In a certain code language, 'BRAKE' is written as 'CTDOJ' and 'FLOW' is written as 'GNRA'. How will 'STORM' be written in that code language?
Solution
Letters are moved forward by +1, +2, +3, +4, +5 from left to right (Z wraps to A: W +4 = A). S+1 = T, T+2 = V, O+3 = R, R+4 = V, M+5 = R ⇒ TVRVR.
What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)
24.97% of 639.98 + 18.02 × 6.99 = ? − 44.03
Solution
25% of 640 = 160; 18 × 7 = 126. 160 + 126 = ? − 44 → ? = 286 + 44 = 330.
Round every number to the nearest convenient value (e.g. 24.97% → 25%, 639.98 → 640, √1295.98 → √1296 = 36) and simplify using BODMAS.
What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)
√1295.98 × 4.99 − 11.98² = ? ÷ 2.01
Solution
√1296 = 36; 36 × 5 = 180; 12² = 144. 180 − 144 = 36 = ? ÷ 2 → ? = 72.
Round every number to the nearest convenient value (e.g. 24.97% → 25%, 639.98 → 640, √1295.98 → √1296 = 36) and simplify using BODMAS.
What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)
(8.01)³ ÷ 15.98 + 39.97% of 449.98 = (?)² − 77.02
Solution
8³ = 512; 512 ÷ 16 = 32; 40% of 450 = 180. 32 + 180 = 212 = ?² − 77 → ?² = 289 → ? = 17.
Round every number to the nearest convenient value (e.g. 24.97% → 25%, 639.98 → 640, √1295.98 → √1296 = 36) and simplify using BODMAS.
What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)
1259.97 ÷ 34.99 × 4.01 + ? = 23.02 × 11.99
Solution
1260 ÷ 35 = 36; 36 × 4 = 144; 23 × 12 = 276. 144 + ? = 276 → ? = 132.
Round every number to the nearest convenient value (e.g. 24.97% → 25%, 639.98 → 640, √1295.98 → √1296 = 36) and simplify using BODMAS.
What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)
3 × ∛3374.89 + 44.98% of 819.97 − ? = 17.01 × 14.02
Solution
∛3375 = 15 → 3 × 15 = 45; 45% of 820 = 369; 17 × 14 = 238. 45 + 369 − ? = 238 → ? = 414 − 238 = 176.
Round every number to the nearest convenient value (e.g. 24.97% → 25%, 639.98 → 640, √1295.98 → √1296 = 36) and simplify using BODMAS.
What will come in place of the question mark (?) in the following number series?
7, 8, 18, 57, ?, 1165
Solution
Pattern: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5. 7×1+1 = 8, 8×2+2 = 18, 18×3+3 = 57, 57×4+4 = 232, 232×5+5 = 1165.
Q46: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5 | Q47: differences 3², 5², 7², 9², 11² | Q48: ÷2, ×3, ÷4, ×5, ÷6 | Q49: differences 1³, 2³, 3³, 4³, 5³ | Q50: differences 7, 21, 42, 70, 105 (second differences 14, 21, 28, 35).
What will come in place of the question mark (?) in the following number series?
121, 130, ?, 204, 285, 406
Solution
Differences are squares of odd numbers: +3², +5², +7², +9², +11². 121+9 = 130, 130+25 = 155, 155+49 = 204, 204+81 = 285, 285+121 = 406.
Q46: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5 | Q47: differences 3², 5², 7², 9², 11² | Q48: ÷2, ×3, ÷4, ×5, ÷6 | Q49: differences 1³, 2³, 3³, 4³, 5³ | Q50: differences 7, 21, 42, 70, 105 (second differences 14, 21, 28, 35).
What will come in place of the question mark (?) in the following number series?
720, 360, 1080, ?, 1350, 225
Solution
Pattern: ÷2, ×3, ÷4, ×5, ÷6. 720÷2 = 360, 360×3 = 1080, 1080÷4 = 270, 270×5 = 1350, 1350÷6 = 225.
Q46: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5 | Q47: differences 3², 5², 7², 9², 11² | Q48: ÷2, ×3, ÷4, ×5, ÷6 | Q49: differences 1³, 2³, 3³, 4³, 5³ | Q50: differences 7, 21, 42, 70, 105 (second differences 14, 21, 28, 35).
What will come in place of the question mark (?) in the following number series?
11, 12, 20, 47, 111, ?
Solution
Differences are cubes: +1³, +2³, +3³, +4³, +5³. 11+1 = 12, 12+8 = 20, 20+27 = 47, 47+64 = 111, 111+125 = 236.
Q46: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5 | Q47: differences 3², 5², 7², 9², 11² | Q48: ÷2, ×3, ÷4, ×5, ÷6 | Q49: differences 1³, 2³, 3³, 4³, 5³ | Q50: differences 7, 21, 42, 70, 105 (second differences 14, 21, 28, 35).
What will come in place of the question mark (?) in the following number series?
18, 25, 46, ?, 158, 263
Solution
Differences: 7, 21, 42, 70, 105 (= 7×1, 7×3, 7×6, 7×10, 7×15); second differences 14, 21, 28, 35. 46 + 42 = 88; check 88 + 70 = 158, 158 + 105 = 263.
Q46: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5 | Q47: differences 3², 5², 7², 9², 11² | Q48: ÷2, ×3, ÷4, ×5, ÷6 | Q49: differences 1³, 2³, 3³, 4³, 5³ | Q50: differences 7, 21, 42, 70, 105 (second differences 14, 21, 28, 35).
In each of the following questions, two equations (I) and (II) are given. Solve both the equations and give answer: (a) if x > y (b) if x ≥ y (c) if x < y (d) if x ≤ y (e) if x = y or the relationship between x and y cannot be established
I. x² + 5x + 6 = 0 II. y² + 9y + 20 = 0
Solution
I. (x + 2)(x + 3) = 0 → x = −2, −3 II. (y + 4)(y + 5) = 0 → y = −4, −5 Every value of x is greater than every value of y → x > y.
Q51: x = −2, −3; y = −4, −5 → x > y | Q52: x = 3, 4; y = 4, 5 → x ≤ y | Q53: x = 8/3, 4; y = 5/2, 3 → cannot be established | Q54: x = 7; y = 6, 7 → x ≥ y | Q55: x = 2/3, −3; y = 3, 4 → x < y
In each of the following questions, two equations (I) and (II) are given. Solve both the equations and give answer: (a) if x > y (b) if x ≥ y (c) if x < y (d) if x ≤ y (e) if x = y or the relationship between x and y cannot be established
I. x² − 7x + 12 = 0 II. y² − 9y + 20 = 0
Solution
I. (x − 3)(x − 4) = 0 → x = 3, 4 II. (y − 4)(y − 5) = 0 → y = 4, 5 x = 4, y = 4 gives x = y; all other pairs give x < y → x ≤ y.
Q51: x = −2, −3; y = −4, −5 → x > y | Q52: x = 3, 4; y = 4, 5 → x ≤ y | Q53: x = 8/3, 4; y = 5/2, 3 → cannot be established | Q54: x = 7; y = 6, 7 → x ≥ y | Q55: x = 2/3, −3; y = 3, 4 → x < y
In each of the following questions, two equations (I) and (II) are given. Solve both the equations and give answer: (a) if x > y (b) if x ≥ y (c) if x < y (d) if x ≤ y (e) if x = y or the relationship between x and y cannot be established
I. 3x² − 20x + 32 = 0 II. 2y² − 11y + 15 = 0
Solution
I. (3x − 8)(x − 4) = 0 → x = 8/3 ≈ 2.67, 4 II. (2y − 5)(y − 3) = 0 → y = 2.5, 3 x = 2.67 > y = 2.5 but x = 2.67 < y = 3 → relationship cannot be established.
Q51: x = −2, −3; y = −4, −5 → x > y | Q52: x = 3, 4; y = 4, 5 → x ≤ y | Q53: x = 8/3, 4; y = 5/2, 3 → cannot be established | Q54: x = 7; y = 6, 7 → x ≥ y | Q55: x = 2/3, −3; y = 3, 4 → x < y
In each of the following questions, two equations (I) and (II) are given. Solve both the equations and give answer: (a) if x > y (b) if x ≥ y (c) if x < y (d) if x ≤ y (e) if x = y or the relationship between x and y cannot be established
I. x³ − 343 = 0 II. y² − 13y + 42 = 0
Solution
I. x³ = 343 → x = 7 II. (y − 6)(y − 7) = 0 → y = 6, 7 x = 7 ≥ both 6 and 7 → x ≥ y.
Q51: x = −2, −3; y = −4, −5 → x > y | Q52: x = 3, 4; y = 4, 5 → x ≤ y | Q53: x = 8/3, 4; y = 5/2, 3 → cannot be established | Q54: x = 7; y = 6, 7 → x ≥ y | Q55: x = 2/3, −3; y = 3, 4 → x < y
In each of the following questions, two equations (I) and (II) are given. Solve both the equations and give answer: (a) if x > y (b) if x ≥ y (c) if x < y (d) if x ≤ y (e) if x = y or the relationship between x and y cannot be established
I. 3x² + 7x − 6 = 0 II. y² − 7y + 12 = 0
Solution
I. (3x − 2)(x + 3) = 0 → x = 2/3, −3 II. (y − 3)(y − 4) = 0 → y = 3, 4 Every x is less than every y → x < y.
Q51: x = −2, −3; y = −4, −5 → x > y | Q52: x = 3, 4; y = 4, 5 → x ≤ y | Q53: x = 8/3, 4; y = 5/2, 3 → cannot be established | Q54: x = 7; y = 6, 7 → x ≥ y | Q55: x = 2/3, −3; y = 3, 4 → x < y
Read the following table carefully and answer the questions given below. The table shows the total number of books available in five different stores (A, B, C, D and E), the percentage of books sold out of the total books available, and the ratio of fiction to non-fiction books among the books sold. Note: Unsold books = Total books available − Books sold.
| Store | Total books available | Books sold (%) | Fiction : Non-fiction (among books sold) |
|---|---|---|---|
| A | 800 | 60 | 5:3 |
| B | 1,200 | 45 | 4:5 |
| C | 900 | 70 | 4:3 |
| D | 1,000 | 54 | 7:5 |
| E | 750 | 80 | 3:2 |
Find the ratio of the total number of fiction books sold by stores A and C together to the total number of non-fiction books sold by stores B and E together.
Solution
Fiction sold: A = 480 × 5/8 = 300, C = 630 × 4/7 = 360 → 660. Non-fiction sold: B = 540 × 5/9 = 300, E = 600 × 2/5 = 240 → 540. Ratio = 660 : 540 = 11 : 9.
Store | Total | Sold | Unsold | Fiction sold | Non-fiction sold A | 800 | 480 | 320 | 300 | 180 B | 1200 | 540 | 660 | 240 | 300 C | 900 | 630 | 270 | 360 | 270 D | 1000 | 540 | 460 | 315 | 225 E | 750 | 600 | 150 | 360 | 240 Total fiction sold = 1575, total non-fiction sold = 1215, total unsold = 1860.
Read the following table carefully and answer the questions given below. The table shows the total number of books available in five different stores (A, B, C, D and E), the percentage of books sold out of the total books available, and the ratio of fiction to non-fiction books among the books sold. Note: Unsold books = Total books available − Books sold.
| Store | Total books available | Books sold (%) | Fiction : Non-fiction (among books sold) |
|---|---|---|---|
| A | 800 | 60 | 5:3 |
| B | 1,200 | 45 | 4:5 |
| C | 900 | 70 | 4:3 |
| D | 1,000 | 54 | 7:5 |
| E | 750 | 80 | 3:2 |
The number of unsold books in store D is what percentage more than the number of unsold books in store A?
Solution
Unsold in D = 1000 − 540 = 460; unsold in A = 800 − 480 = 320. Required % = (460 − 320)/320 × 100 = 140/320 × 100 = 43.75%.
Store | Total | Sold | Unsold | Fiction sold | Non-fiction sold A | 800 | 480 | 320 | 300 | 180 B | 1200 | 540 | 660 | 240 | 300 C | 900 | 630 | 270 | 360 | 270 D | 1000 | 540 | 460 | 315 | 225 E | 750 | 600 | 150 | 360 | 240 Total fiction sold = 1575, total non-fiction sold = 1215, total unsold = 1860.
Read the following table carefully and answer the questions given below. The table shows the total number of books available in five different stores (A, B, C, D and E), the percentage of books sold out of the total books available, and the ratio of fiction to non-fiction books among the books sold. Note: Unsold books = Total books available − Books sold.
| Store | Total books available | Books sold (%) | Fiction : Non-fiction (among books sold) |
|---|---|---|---|
| A | 800 | 60 | 5:3 |
| B | 1,200 | 45 | 4:5 |
| C | 900 | 70 | 4:3 |
| D | 1,000 | 54 | 7:5 |
| E | 750 | 80 | 3:2 |
Find the average number of unsold books in all five stores.
Solution
Unsold: A = 320, B = 660, C = 270, D = 460, E = 150. Sum = 1860; average = 1860/5 = 372.
Store | Total | Sold | Unsold | Fiction sold | Non-fiction sold A | 800 | 480 | 320 | 300 | 180 B | 1200 | 540 | 660 | 240 | 300 C | 900 | 630 | 270 | 360 | 270 D | 1000 | 540 | 460 | 315 | 225 E | 750 | 600 | 150 | 360 | 240 Total fiction sold = 1575, total non-fiction sold = 1215, total unsold = 1860.
Read the following table carefully and answer the questions given below. The table shows the total number of books available in five different stores (A, B, C, D and E), the percentage of books sold out of the total books available, and the ratio of fiction to non-fiction books among the books sold. Note: Unsold books = Total books available − Books sold.
| Store | Total books available | Books sold (%) | Fiction : Non-fiction (among books sold) |
|---|---|---|---|
| A | 800 | 60 | 5:3 |
| B | 1,200 | 45 | 4:5 |
| C | 900 | 70 | 4:3 |
| D | 1,000 | 54 | 7:5 |
| E | 750 | 80 | 3:2 |
Find the difference between the total number of fiction books sold by all five stores together and the total number of non-fiction books sold by all five stores together.
Solution
Fiction sold = 300 + 240 + 360 + 315 + 360 = 1575. Non-fiction sold = 180 + 300 + 270 + 225 + 240 = 1215. Difference = 1575 − 1215 = 360.
Store | Total | Sold | Unsold | Fiction sold | Non-fiction sold A | 800 | 480 | 320 | 300 | 180 B | 1200 | 540 | 660 | 240 | 300 C | 900 | 630 | 270 | 360 | 270 D | 1000 | 540 | 460 | 315 | 225 E | 750 | 600 | 150 | 360 | 240 Total fiction sold = 1575, total non-fiction sold = 1215, total unsold = 1860.
Read the following table carefully and answer the questions given below. The table shows the total number of books available in five different stores (A, B, C, D and E), the percentage of books sold out of the total books available, and the ratio of fiction to non-fiction books among the books sold. Note: Unsold books = Total books available − Books sold.
| Store | Total books available | Books sold (%) | Fiction : Non-fiction (among books sold) |
|---|---|---|---|
| A | 800 | 60 | 5:3 |
| B | 1,200 | 45 | 4:5 |
| C | 900 | 70 | 4:3 |
| D | 1,000 | 54 | 7:5 |
| E | 750 | 80 | 3:2 |
Find the total number of non-fiction books sold by stores A, C and D together.
Solution
A: 480 × 3/8 = 180; C: 630 × 3/7 = 270; D: 540 × 5/12 = 225. Sum = 180 + 270 + 225 = 675.
Store | Total | Sold | Unsold | Fiction sold | Non-fiction sold A | 800 | 480 | 320 | 300 | 180 B | 1200 | 540 | 660 | 240 | 300 C | 900 | 630 | 270 | 360 | 270 D | 1000 | 540 | 460 | 315 | 225 E | 750 | 600 | 150 | 360 | 240 Total fiction sold = 1575, total non-fiction sold = 1215, total unsold = 1860.
Read the following table carefully and answer the questions given below. The table shows the total number of books available in five different stores (A, B, C, D and E), the percentage of books sold out of the total books available, and the ratio of fiction to non-fiction books among the books sold. Note: Unsold books = Total books available − Books sold.
| Store | Total books available | Books sold (%) | Fiction : Non-fiction (among books sold) |
|---|---|---|---|
| A | 800 | 60 | 5:3 |
| B | 1,200 | 45 | 4:5 |
| C | 900 | 70 | 4:3 |
| D | 1,000 | 54 | 7:5 |
| E | 750 | 80 | 3:2 |
The total number of books available in store F is 20% more than that in store C, and the number of unsold books in store F is 25% less than the number of unsold books in store D. If the ratio of fiction to non-fiction books sold by store F is 4:3, find the number of non-fiction books sold by store F.
Solution
Total in F = 900 × 1.2 = 1080. Unsold in F = 460 × 0.75 = 345 → sold in F = 1080 − 345 = 735. Non-fiction sold = 735 × 3/7 = 315.
Store | Total | Sold | Unsold | Fiction sold | Non-fiction sold A | 800 | 480 | 320 | 300 | 180 B | 1200 | 540 | 660 | 240 | 300 C | 900 | 630 | 270 | 360 | 270 D | 1000 | 540 | 460 | 315 | 225 E | 750 | 600 | 150 | 360 | 240 Total fiction sold = 1575, total non-fiction sold = 1215, total unsold = 1860.
Read the following bar graph carefully and answer the questions given below. The bar graph given below shows the number of scooters sold by two showrooms X and Y in five different months (January to May) of a year.
Find the ratio of the total number of scooters sold by showroom X in January and May together to the total number of scooters sold by showroom Y in January and April together.
Solution
X (Jan + May) = 240 + 270 = 510. Y (Jan + Apr) = 200 + 280 = 480. Ratio = 510 : 480 = 17 : 16.
Month | X | Y | Total January | 240 | 200 | 440 February | 300 | 250 | 550 March | 180 | 300 | 480 April | 360 | 280 | 640 May | 270 | 350 | 620 Total X = 1350, Total Y = 1380.
Read the following bar graph carefully and answer the questions given below. The bar graph given below shows the number of scooters sold by two showrooms X and Y in five different months (January to May) of a year.
The number of scooters sold by showroom X in March is what percentage less than the number of scooters sold by showroom Y in March?
Solution
X in March = 180, Y in March = 300. Required % = (300 − 180)/300 × 100 = 120/300 × 100 = 40%.
Month | X | Y | Total January | 240 | 200 | 440 February | 300 | 250 | 550 March | 180 | 300 | 480 April | 360 | 280 | 640 May | 270 | 350 | 620 Total X = 1350, Total Y = 1380.
Read the following bar graph carefully and answer the questions given below. The bar graph given below shows the number of scooters sold by two showrooms X and Y in five different months (January to May) of a year.
Find the average number of scooters sold by showroom Y in all five months.
Solution
Y total = 200 + 250 + 300 + 280 + 350 = 1380. Average = 1380/5 = 276.
Month | X | Y | Total January | 240 | 200 | 440 February | 300 | 250 | 550 March | 180 | 300 | 480 April | 360 | 280 | 640 May | 270 | 350 | 620 Total X = 1350, Total Y = 1380.
Read the following bar graph carefully and answer the questions given below. The bar graph given below shows the number of scooters sold by two showrooms X and Y in five different months (January to May) of a year.
Find the difference between the total number of scooters sold by showroom X in January, February and March together and the total number of scooters sold by showroom Y in March, April and May together.
Solution
X (Jan + Feb + Mar) = 240 + 300 + 180 = 720. Y (Mar + Apr + May) = 300 + 280 + 350 = 930. Difference = 930 − 720 = 210.
Month | X | Y | Total January | 240 | 200 | 440 February | 300 | 250 | 550 March | 180 | 300 | 480 April | 360 | 280 | 640 May | 270 | 350 | 620 Total X = 1350, Total Y = 1380.
Read the following bar graph carefully and answer the questions given below. The bar graph given below shows the number of scooters sold by two showrooms X and Y in five different months (January to May) of a year.
In February, 20% of the scooters sold by showroom X and 40% of the scooters sold by showroom Y were electric scooters. Find the total number of electric scooters sold by both showrooms together in February.
Solution
X: 20% of 300 = 60. Y: 40% of 250 = 100. Total electric scooters = 60 + 100 = 160.
Month | X | Y | Total January | 240 | 200 | 440 February | 300 | 250 | 550 March | 180 | 300 | 480 April | 360 | 280 | 640 May | 270 | 350 | 620 Total X = 1350, Total Y = 1380.
Read the following bar graph carefully and answer the questions given below. The bar graph given below shows the number of scooters sold by two showrooms X and Y in five different months (January to May) of a year.
The number of scooters sold by showroom X in June is 20% more than that sold by it in May. The ratio of the number of scooters sold by showroom X to that sold by showroom Y in June is 9:8. Find the total number of scooters sold by both showrooms together in June.
Solution
X in June = 270 × 1.2 = 324. Y in June = 324 × 8/9 = 288. Total = 324 + 288 = 612.
Month | X | Y | Total January | 240 | 200 | 440 February | 300 | 250 | 550 March | 180 | 300 | 480 April | 360 | 280 | 640 May | 270 | 350 | 620 Total X = 1350, Total Y = 1380.
In an election between two candidates, 20% of the voters on the voter list did not cast their votes and 500 of the votes cast were declared invalid. The winning candidate got 55% of the valid votes and won by 1250 votes. Find the total number of voters on the voter list.
Solution
Winner 55%, loser 45% of valid votes → margin = 10% of valid votes = 1250 → valid votes = 12500. Votes cast = 12500 + 500 = 13000 = 80% of total voters. Total voters = 13000 ÷ 0.8 = 16250.
A shopkeeper marks an article 40% above its cost price and allows two successive discounts of 10% and 5% on the marked price. If he earns a profit of Rs 197 on the article, find the marked price of the article (in Rs).
Solution
Let CP = 100x. MP = 140x; SP = 140x × 0.90 × 0.95 = 119.7x. Profit = 19.7x = 197 → x = 10 → CP = Rs 1000. Marked price = 1.4 × 1000 = Rs 1400.
A sum of money invested at simple interest at 12% p.a. earns an interest of Rs 2160 in 3 years. If the same sum is invested at compound interest at 10% p.a., compounded annually, for 2 years, find the compound interest received (in Rs).
Solution
SI = P × 12 × 3 / 100 = 0.36P = 2160 → P = Rs 6000. CI for 2 years at 10% = 6000 × (1.1² − 1) = 6000 × 0.21 = Rs 1260.
The incomes of A and B are in the ratio 5 : 4 and their expenditures are in the ratio 3 : 2. If each of them saves Rs 4000, find the income of A (in Rs).
Solution
Incomes 5x, 4x; expenditures 3y, 2y. 5x − 3y = 4000 and 4x − 2y = 4000 → y = 2x − 2000. 5x − 6x + 6000 = 4000 → x = 2000 → income of A = 5 × 2000 = Rs 10000.
A and B started a business with investments of Rs 24000 and Rs 30000 respectively. After 4 months, A withdrew Rs 6000 and B invested Rs 6000 more. C joined the business after 6 months from the start with Rs 40000. If the total profit at the end of the year is Rs 29600, find the profit share of B (in Rs).
Solution
A: 24000×4 + 18000×8 = 240000 B: 30000×4 + 36000×8 = 408000 C: 40000×6 = 240000 Ratio = 240 : 408 : 240 = 10 : 17 : 10 (total 37). B's share = 29600 × 17/37 = Rs 13600.
The average weight of 40 students in a class is 52 kg. A student weighing 43 kg left the class and 6 new students joined it. As a result, the average weight of the class became 53 kg. Find the average weight of the 6 new students (in kg).
Solution
Total = 40 × 52 = 2080 kg; after the student leaves: 2080 − 43 = 2037 kg. New class = 39 + 6 = 45 students, total = 45 × 53 = 2385 kg. New students' total = 2385 − 2037 = 348 kg → average = 348 ÷ 6 = 58 kg.
The ratio of the present ages of P and Q is 4 : 5. After 8 years, the ratio of their ages will be 5 : 6. R is 6 years younger than Q. Find the age of R 6 years ago (in years).
Solution
(4x + 8) : (5x + 8) = 5 : 6 → 24x + 48 = 25x + 40 → x = 8. P = 32, Q = 40 → R = 40 − 6 = 34 years. R's age 6 years ago = 34 − 6 = 28 years.
A vessel contains 80 litres of a mixture of milk and water in the ratio 7 : 3. 20 litres of the mixture is taken out and then x litres of water is added to the vessel, so that the ratio of milk to water becomes 3 : 2. Find the value of x.
Solution
Initially milk = 56 L, water = 24 L. Removing 20 L (1/4) leaves milk = 42 L, water = 18 L. 42 : (18 + x) = 3 : 2 → 18 + x = 28 → x = 10.
A can complete a piece of work in 20 days and B can complete the same work in 30 days. They started the work together, but A left the work 5 days before its completion. In how many days was the whole work completed?
Solution
Let the work take T days. A works (T − 5) days, B works T days. (T − 5)/20 + T/30 = 1 → 3(T − 5) + 2T = 60 → 5T = 75 → T = 15 days.
The speed of a boat in still water is three times the speed of the stream. The boat covers 96 km downstream in 4 hours. Find the total time taken by the boat to cover 84 km upstream and 72 km downstream.
Solution
Let stream = s, boat = 3s. Downstream speed = 4s = 96/4 = 24 → s = 6 km/h, boat = 18 km/h. Upstream speed = 12 km/h. Time = 84/12 + 72/24 = 7 + 3 = 10 hours.
Train A running at 72 km/h crosses a pole in 15 seconds. Train B is 40 m shorter than train A and runs at 54 km/h. In how much time will the two trains cross each other when they run in opposite directions?
Solution
Speed of A = 72 × 5/18 = 20 m/s → length of A = 20 × 15 = 300 m; length of B = 260 m. Speed of B = 54 × 5/18 = 15 m/s; relative speed (opposite) = 35 m/s. Time = (300 + 260)/35 = 16 seconds.
The area of a circle is 1386 cm². The length of a rectangle is equal to the diameter of the circle and the breadth of the rectangle is 12 cm less than its length. Find the area of the rectangle (in cm²). (Take π = 22/7)
Solution
πr² = 1386 → r² = 1386 × 7/22 = 441 → r = 21 cm, diameter = 42 cm. Length = 42 cm, breadth = 42 − 12 = 30 cm. Area = 42 × 30 = 1260 cm².
Pipes A and B can fill a tank in 12 hours and 18 hours respectively, while pipe C can empty the full tank in 36 hours. All three pipes are opened together and after 4 hours pipe C is closed. In how many hours in total will the tank be completely filled?
Solution
Take capacity = 36 units: A = 3, B = 2, C = −1 units/hour. In 4 hours (A+B+C = 4 units/h): 16 units filled; remaining 20 units. A + B = 5 units/h → 20/5 = 4 hours more. Total = 4 + 4 = 8 hours.