## Riya Agarwal is teaching live on Unacademy Plus

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About Me . I hold a B.E degree in Electronics and Communication Engineering. . CAT, 18: DI & LR-99.59 %ile. You can follow me on Unacademy for complete preparation guide on DILR section for CAT and OMETs S.

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DATA SUFFICIENCY PROBLEMS

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CAT 1956

Direction for questions 1 to 10: Each question is followed by two statements, I and II Mark the answer as - a. if the question cannot be answered even with the help of both the statements taken together. b. if the question can be answered by any one of the two statements. c. if each statement alone is sufficient to answer the question, but not the other one (e.g. statement I alone is required to answer the question, but not statement Il and vice versa). d. if both statements I and II together are needed to answer the question.

1. A tractor travelled a distance 5 m. What is the radius of the rear wheel? I. The front wheel rotates 'N' times more than the rear wheel over this distance. Il. The circumference of the rear wheel is 't' times that of the front whee 2. What is the ratio of the two liquids A and B in the mixture finally, if these tweo liquids kept in three vessels are mixed together? (The containers are of equal volume.) I. The ratio of liquid A to liquid B in the first and second vessel is 3: 5, 2 : 3 respectively. II. The ratio of liquid A to liquid B in vessel 3 is 4:3. 3. If a, b and c are integers, is (a - bc)> (a+ b c)? I. b is negative. Il c is positive

4. If and are the roots of the equation (ax2 + bx + c = 0), then what is the value of ( 2 + 2)? I. a+B- (b/a) 11.2 (c / a) 5. What is the cost price of the article? Il. The selling price is three-fourths of the cost price. 6. What is the selling price of the article? After selling the article, a loss of 25% on cost price is incurred. The profit on sales is 20% 11. The profit on each unit is 25% and the cost price is Rs.250. 7. How many different triangles can be formed? I. There are 16 coplanar, straight lines. I No two lines are parallel

8. What is the total worth of Lakhiram's assets? I. A compound interest at 10% on his assets, followed by a tax of 4% on the interest, fetches him Rs. 1,500 this year. Il The interest is compounded once every four months. 9. How old is Sachin in 1997? I. Sachin is 11 years younger than Anil whose age will be a prime number in 1998. Il. Anil's age was a prime number in 1996. 10. What is the number of type-2 widgets produced, if the total number of widget:s produced is 20,000? If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same. Il The ratio in which type-1 and type-2 widgets are produced is 2:1.

ANSWER THE FOLLOWING: 9. How old is Sachin in 1997? I. Sachin is 11 years younger than Anil whose age will be a prime number in 1998. II. Anil's age was a prime number in 1996. a. cannot be answered even with the help of both the statements taken together. b. if the question can be answered by any one of the two statements. c. if each statement alone is sufficient to answer the question, but not the other one d. if both statements I and II together are needed to answer the question.

ANSWER THE FOLLOWING: 10. What is the number of type-2 widgets produced, if the total number of widgets produced is 20,000? If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same. The ratio in which type-1 and type-2 widgets are produced is 2:1. Il. a. cannot be answered even with the help of both the statements taken together. b. if the question can be answered by any one of the two statements. c. if each statement alone is sufficient to answer the question, but not the other one d. if both statements I and Il together are needed to answer the question.

ANSWER THE FOLLOWING 10. What is the number of type-2 widgets produced, if the total number of widgets produced is 20,000? I. If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same. The ratio in which type-1 and type-2 widgets are produced is 2:1. Il. a. cannot be answered even with the help of both the statements taken together. b. if the question can be answered by any one of the two statements. c. if each statement alone is sufficient to answer the question, but not the other one d. if both statements I and Il together are needed to answer the question. Solution: The question can be answered by using anyone of the statements. Consider the statement I: Let number of type-1 widgets - x. Number of type-2 widgets - y. From the given question, x + y = 20000. From statement 1, 1.1x + 0.94y = 20000. So we can get x and y. From statement Il, number of type-2 widgets are produced. Answer: Option (b).

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