## 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

CAT 1994

Direction for questions 1 to 10: Each item has a question followed by two statements, Mark 'a', if the question can be answered with the help of I alone, Mark 'b', if the question can be answered with the help of II alone, Mark 'c', if the question can be answered with the help of both, I and Il, Mark 'd', if the question cannot be answered even with the help of both statements.

1. Is the distance from the office to home less than the distance from the cinema hall to home? I. The time taken to travel from home to office is as much as the time taken from home to the cinema hall, both distances being covered without stopping. II. The road from the cinema hall to home is bad and speed reduces, as compared to that on the road from home to the office. 2. A and B work at digging a ditch alternately for a day each. If A can dig a ditch in 'a' days, and B can dig it in 'b' days, will work get done faster if A begins the work? I. n is a positive integer such that n ( Il. b> a 1 au 3. If twenty sweets are distributed among some boys and girls such that each girl gets two sweets and each boy gets three sweets, what is the number of boys and girls? I. The number of girls is not more than five. II. If each girl gets 3 sweets and each boy gets 2 sweets, the number of sweets required for the children will still be the same.

4. If the selling price were to be increased by 10%, the sales would reduce by 10%. In what ratio would profits change? I. The cost price remains constant ll. The cost price increased by 10% 5. What is the average weight of the 3 new team members who are recently included in the team? I. The average weight of the team increases by 20 kg. II. The 3 new men substitute 3 earlier members whose weights are 64 kg, 75 kg and 66 kg 6. Is segment PQ greater than segment RS? Il. B is a point on PQ, E is a point on RS.

7. Three boys had a few Coffee Bite toffees with them. The number of toffees with the second were four more than those with the first and the number of toffees with the third were four more than those with the second. How many toffees were there in all? I. The number of toffees with each of them is a multiple of 2 I. The first boy ate up four toffees from what he had and the second boy ate up six toffees from what he had and the third boy gave them two toffees each from what he had and the number of toffees remaining with each of them formed a geometric progression. 8. Little Beau Peep she lost her sheep, she couldn't remember how many were there, (1994) She knew she would have 400 more next year, than the number of sheep she had last year. How many sheep were there? I. The number of sheep last year was 20% more than the year before that and this simple rate of increase continues to be the same for the next 10 years. II. The increase is compounded annually.

9. What will be the total cost of creating a 1-foot border of tiles along the inside edges of a room? I. The room is 48 feet in length and 50 feet in breadth. II. Every tile costs Rs. 10. 10. Ten boys go to a neighbouring orchard. Each boy steals a few mangoes. What is the total number of mangoes they steal? I. The first boy steals 4 mangoes and the fourth boy steals 16 mangoes and the eighth boy 32 mangoes and the tenth boy steals 40 mangoes. II. The first boy stole the minimum number of mangoes and the tenth boy stole the maximum number of mangoes.

ANSWER THE FOLLOWING: 7. Three boys had a few Coffee Bite toffees with them. The number of toffees with the second were four more than those with the first and the number of toffees with the third were four more than those with the second. How many toffees were there in all? I. The number of toffees with each of them is a multiple of 2 II. The first boy ate up four toffees from what he had and the second boy ate up six toffees from what he had and the third boy gave them two toffees each from what he had and the number of toffees remaining with each of them formed a geometric progression. Solution: Suppose first boy has x toffees then second has x + 4 and third has x+ 8 Geometric progression be (x +4 2), (x+4 62), (x 8-4) So the question can be answered with the help of Il alone. Answer: Option (b

ANSWER THE FOLLOWING: 8. Little Beau Peep she lost her sheep, she couldn't remember how many were there, (1994) She knew she would have 400 more next year, than the number of sheep she had last year. How many sheep were there? I. The number of sheep last year was 20% more than the year before that and this simple rate of increase continues to be the same for the next 10 years. II. The increase is compounded annually. Solution: Let number of sheep last year was x then x+400 = x + 20% of x (using I st. statement) x can be calculated from here Answer: Option (a).

ANSWER THE FOLLOWING: 10. Ten boys go to a neighbouring orchard. Each boy steals a few mangoes. What is the total number of mangoes they steal? I. The first boy steals 4 mangoes and the fourth boy steals 16 mangoes and the eighth boy 32 mangoes and the tenth boy steals 40 mangoes. II. The first boy stole the minimum number of mangoes and the tenth boy stole the maximum number of mangoes. Each item has a question followed by two statements, Mark 'a', if the question can be answered with the help of I alone, Mark 'b', if the question can be answered with the help of II alone, Mark 'c', if the question can be answered with the help of both, I and, Mark 'd', if the question cannot be answered even with the help of both statements.

ANSWER THE FOLLOWING: 10. Ten boys go to a neighbouring orchard. Each boy steals a few mangoes. What is the total number of mangoes they steal? I. The first boy steals 4 mangoes and the fourth boy steals 16 mangoes and the eighth boy 32 mangoes and the tenth boy steals 40 mangoes. II. The first boy stole the minimum number of mangoes and the tenth boy stole the maximum number of mangoes. Each item has a question followed by two statements, Mark 'a', if the question can be answered with the help of I alone, Mark 'b', if the question can be answered with the help of II alone, Mark 'c', if the question can be answered with the help of both, I and, Mark 'd', if the question cannot be answered even with the help of both statements. Solution: It is not given that mangoes stolen by each boy form a series, hence total number can not be found Answer: Option (d)

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