Data Sufficiency (Quant)

Q-DS-1Q.1

2X^2>0 X⁴-4>0 is X>0?

Q-DS-2Q.25

A bag contains some red balls, five green balls and 7 yellow balls. Find number of red balls in the bag. I. If one ball drawn from the bag at random, then probability of being green is 5/16. II. If one ball drawn from bag at random, then probability of being either red or yellow is 11/16.

1. A) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.
2. B) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.
3. C) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
4. D)’ Either statement (I) or statement (II) by itself is sufficient to answer the question.
5. E) Statements (I) and (II) taken together are not sufficient to answer the question.

Q-DS-3Q.26

A shopkeeper bought a jeans at the price of ‘2x’. Find the profit of shopkeeper (In Rs.) I. Shopkeeper sold jeans at 20% profit after allowing two successive discounts of 20% & 4% respectively and difference between marked price and cost price is Rs. 810. II. Cost price of a shirt is 75% of cost price of jeans and the difference of CP of shirt and CP of jeans is Rs. 360. Shopkeeper marks up jeans by 56.25% and allows a discount of 23.2%.

1. A) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.
2. B) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.
3. C) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
4. D)’ Either statement (I) or statement (II) by itself is sufficient to answer the question.
5. E) Statements (I) and (II) taken together are not sufficient to answer the question.

Q-DS-4Q.27

What is annual salary of Anurag? I. If Anurag deposited 45% of his monthly salary at the rate of 20% half yearly for one year at compound interest, then he will get an amount which is Rs. 88 less than his remaining monthly salary. II. If Anurag divided 55% of his annual salary between his son & daughter in the ratio of 13 : 11, then difference between remaining annual salary of Anurag and share of his son will Rs. 29200.

1. A) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.
2. B) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.
3. C) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
4. D)’ Either statement (I) or statement (II) by itself is sufficient to answer the question.
5. E) Statements (I) and (II) taken together are not sufficient to answer the question.

Q-DS-5Q.28

If longer train added three more compartment of 15 m each, then find in what time both trains cross each other running in opposite direction I. Ratio between length of two trains is 4 : 5 and speed of longer trains & shorter train is 81 km/hr & 108 km/hr respectively. II. Longer & shorter trains cross each other in 36 sec running in same direction.

1. A) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.
2. B) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.
3. C) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
4. D)’ Either statement (I) or statement (II) by itself is sufficient to answer the question.
5. E) Statements (I) and (II) taken together are not sufficient to answer the question.

Q-DS-6Q.29

Whose body weight is second highest among the five boys Arun, Vinay, Suraj, Raju and Pratap? I. Average weight of Arun, Suraj and Vinay is 68 kg and average weight of Raju and Pratap is 72 kg. Also Suraj is 78 kg. Raju is 68 kg and Vinay is 46 kg. II. Average weight of Arun, Suraj, Vinay and Raju is 68 kg and also Suraj is 78 kg. Raju is 68 kg and Vinay is 46 kg. All of them have different weights.

1. A) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.
2. B) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.
3. C) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
4. D)’ Either statement (I) or statement (II) by itself is sufficient to answer the question.
5. E) Statements (I) and (II) taken together are not sufficient to answer the question.

Q-DS-7Q.16

Each of the questions below consists of a question and two statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. How many mangoes did Swati have? (A) Swati had the same number of mangoes and oranges. (B) Deepa had 5 more mangoes than Swati who had 3 oranges.

1. 1. If the question can be answered by using statement A alone but not by using statement B alone.
2. 2. If the question can be answered by using statement B alone but not by using statement A alone.
3. 3. If the question can be answered by using either of the statements alone.
4. 4. If the question can be answered by using both the statements together but not by either of the statements alone.
5. 5. If the questions can't be answered even by using both the statements together

Q-DS-8Q.17

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question: Find out the number of teachers present in the school? I. There are 25 students in the class and average weight of students is 35 kg. II. The average weight of teacher and students in the class is 40 kg.

1. 1. If the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
2. 2. If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
3. 3. If the data either in Statement I alone or in Statement II alone is sufficient to answer the question.
4. 4. If the data in both the Statements I and II together are not sufficient to answer the question.
5. 5. If the data in both the Statements I and II together are necessary to answer the question.

Q-DS-9Q.18

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in which of the statements are sufficient to answer the question. Choose your answer from the options based on this. What is the ratio of salary between A and B? I. A's salary is more than B's salary by Rs. 3000. II.B's salary is less than C's salary, who earns Rs. 36,000 per month.

1. 1. If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
2. 2. If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
3. 3. If the data either in statement I alone or in statement II alone are sufficient to answer the question.
4. 4. If the data in both the statements I and II together are not sufficient to answer the question.
5. 5. If the data in both the statements I and II together are necessary to answer the question.

Q-DS-10Q.19

In each of the following questions, each question is followed by two statements. Read all the statements carefully and find that which of the following statement(s) is/are sufficient to answer the question. A boy has to cover a distance of total 500 km. He completes 30% distance by bus, 20% by train and remaining distance by car. What is the time taken by car? Statement I: Speed of bus is 40 km/hr and time taken by boy to cover the distance by train is 2 hours. Statement II: Speed of car is 20% more than the speed of train.

1. 1. Statement I alone is sufficient.
2. 2. Statement II alone is sufficient.
3. 3. Either statement I or II alone is sufficient.
4. 4. Both statements I and II together are not sufficient.
5. 5. Both statements I and II together are sufficient.

Q-DS-11Q.22

Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. What is the selling price of a bike if a bike and a scooter is sold by person A to person B if total cost price of bike and scooter for A is Rs.75000? I. Ratio of selling price of bike to that of scooter is 7: 5. II. Total profit per cent earned by A when he sold bike and scooter to B is 21%.

1. 1. I alone is sufficient.
2. 2. II alone is sufficient.
3. 3. Both I and II together are not sufficient.
4. 4. Either I alone or II alone is sufficient.
5. 5. Both I and II together are sufficient.

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.