Data Sufficiency (Quant)

Q-DS-12Q.74

Find out the length of train X given that speed of train X is 20 m/sec. I. Train X crosses another train Y moving in opposite direction in 6 sec and the speed of train Y is 50% more than the speed of train X. II. Length of train Y is 50% less than length of train X.

1. (a) Both I and II together
2. (b) Only statement I
3. (c) Only statement II
4. (d) Both I and II together are not sufficient
5. (e) Either I or II alone

Q-DS-13Q.75

Side of square is 3.5 cm more than radius of circle. What will be area of square? I. Difference between circumference and diameter of circle is 45 cm. II. Radius of circle is 50% more than breadth of rectangle whose length is 15 cm. Ratio of circumference of circle & perimeter of rectangle is 3 : 2.

1. (a) Only statement II is sufficient
2. (b) Either statement I or Statement II alone is sufficient
3. (c) Statement I and II both together is sufficient
4. (d) Only statement I is sufficient
5. (e) Neither statement I nor statement II is sufficient

Q-DS-14Q.61

At present the cost of a share is Rs. 133100. Find the cost price of the share exactly three years ago. Statement I: Present cost price of the share is two times the price of share three years ago. Statement II: The price of the share increased by 10% every year.

1. (a) Only Statement I is sufficient
2. (b) Only Statement II is sufficient
3. (c) Neither Statement I nor Statement II is sufficient.
4. (d) Either Statement I or Statement II alone is sufficient.
5. (e) Both Statement I & Statement II together are sufficient.

Note: Answer check: the two statements give different values (66,550 and 1,00,000), so 'either statement alone is sufficient' is doubtful, though the source key says so.

Q-DS-15Q.62

Find the total cost price of 200 antiques (in Rs). Statement I: 38 antiques were broken and the broken antique remains unsold & he sold the remaining at Rs. 480 per piece. Statement II: He gained 29.6% profit by selling unbroken antique pieces.

1. (a) Only Statement I is sufficient
2. (b) Only Statement II is sufficient
3. (c) Neither Statement I nor Statement II is sufficient.
4. (d) Either Statement I or Statement II alone is sufficient.
5. (e) Both Statement I & Statement II together are sufficient.

Q-DS-16Q.63

What is area of a square? Statement I: The length of a rectangle ‘A’ is half of the side of the square. Statement II: The area of rectangle A is 144 sq cm.

1. (a) Only Statement I is sufficient
2. (b) Only Statement II is sufficient
3. (c) Neither Statement I nor Statement II is sufficient.
4. (d) Either Statement I or Statement II alone is sufficient.
5. (e) Both Statement I & Statement II together are sufficient.

Q-DS-17Q.76

Find the time taken by the boat to cover 75 km in still water. I. The boat to cover 150 km downstream in five hours. II. The boat to cover 80 km upstream in four hours.

1. (a) Neither statement (I) nor statement (II) by itself is sufficient to answer the question.
2. (b) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.
3. (c) Either statement (I) or statement (II) by itself is sufficient to answer the question.
4. (d) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
5. (e) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.

Q-DS-18Q.77

If the present age of A is 16/11th of the present age of B, then find the age of B after five years. I. The ratio of the age of A after three years to the age of B two years ago is 7:4, respectively. II. The present age of C is three years more than that of B, and the ratio of the age of A two years ago to the present age of C is 6:5, respectively.

1. (a) Neither statement (I) nor statement (II) by itself is sufficient to answer the question.
2. (b) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.
3. (c) Either statement (I) or statement (II) by itself is sufficient to answer the question.
4. (d) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
5. (e) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.

Q-DS-19Q.78

Find the perimeter of a square. I. The ratio of the area of a rectangle to area of the square is 3:5. II. The side of the square is five cm less than the length of the rectangle.

1. (a) Neither statement (I) nor statement (II) by itself is sufficient to answer the question.
2. (b) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.
3. (c) Either statement (I) or statement (II) by itself is sufficient to answer the question.
4. (d) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
5. (e) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.