DATA SUFFICIENCY
1. What is the 2 digit number whose first digit is a and the second digit is b?
I) The number is a multiple of 51.
II)The sum of the digits, a and b is 6.
2. By selling a product with 20% profit, how much profit was earned?
I) The difference between cost and selling price is Rs. 40.
II) The selling price is 120% of the cost price.
3. What is the price of a banana?
I) A man can buy 14 banana and 35 oranges for Rs. 84.
II) With 50% discount on the price of bananas, Rs. 12 would buy 4 bananas and 5 oranges.
4. A train crosses a pole in 10 seconds. What is the length of the train?
I) The train crosses another train running in opposite direction with a speed of 80 km/hr in 22 seconds.
II) The speed of the train is 108 km/hr.
5. What is the speed of the boat in still water?
I) The sum of the speeds of the boat, upstream and downstream is 12 kmph.
II) The speed downstream of the boat is thrice the speed upstream.
6. What is the sum which earned interest?
I) The total simple interest was Rs. 700 after 7 years.
II) The total of sum and simple interest was double of the sum after 5 years.
7. What is the compound interest earned by Akhilesh at the end of 2 years?
I) Simple interest at the same rate for one year is Rs. 1020 and the rate of interest is 12% per annum.
II) The amount invested is Rs. 8500.
8. What is the height of the triangle?
I) The area of the triangle is 20 times its base.
II) The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.
9. Is x an integer?
I) 3x is an integer.
II) x\3 is an integer.
10. Can the waste pipe empty the cistern in 3 hours?
I)The waste pipe takes away 16 litres per hour from the tank.
II) A tap pours in 18 litres/hr. of water to the tank.
11. What is the value of p\2?
I) 2p-q=10
II) p+q=8
12. What is the percentage gain?
I) Sale
II) Sale
13. What is the fourth consective even number in a given series of even real numbers?
I) The sum of the first two numbers is 18.
II) The sum of last two numbers is 26.
14. How many girls passed B.Ed. entrance exam this year?
I) Last year 500 girls passed.
II) This year there was a 10% decrease over last year in the number of failures.
15. What will be the age of saurabh 5 years from now?
I) Saurabh is 30 years younger than his father.
II) His father was 50 years old 5 years ago.
16. In a class of 60 students, how many boys scored over 80% in chemistry test?
I) Exactly 5 girl scored over 80% in the test.
II) 2/3 rd of the class scored over 80% in the test.
17. What is John’s age?
I) In 15 years John will be twice as old as Dias would be.
II) Dias was born 5 years ago.
18. In the 5 term series 4, P, Q, R, 16 what is the value of R,. all numbers being real?
I) The third term is twice the first term.
II) The fourth term is twice the second term.
19. Is A-5 even? A is a real number.
I) A-15 is an integer.
II) A-10 is an odd number.
20. The aggregate marks of three students A,B and C in mathematics are 180 what are the marks of each student?
I) B and C together obtained 85 marks.
II) A and C together obtained 70 marks.
21. How old is the teacher?
I) The advantage age of 10 students and their teacher is 25 years.
II) The teacher’s age is 10 years more than the oldest student’s age.
22. What are the sides of a right angled triangle?
I) The difference between hypotenus ans base is 6 cm.
II) The difference between hypotenuse and perpendicular is 3 cm.
23. How long would it take Amit to complete the work?
I) Amit and Sumit together complete the work in 10 days.
II) Amit takes 5 days more than Sumit to complete the work.
24. Is B positive?
I) A+B is positive II) A-B is positive
25. Is Akbar taller than Raees?
I) Akbar is taller than Rahim.
II) Rahim is not as tall as Raees.
26. If ‘x’ is an integer, is x/2 an even integer?
I) x is a multiple of 2.
II) x is a multiple of 4.
27. In a factory cpacity of a solution tank A is 70% of the capacity of the another tank B. How many more gallons of solution are in tank A than in tank B?
I) Tank A is 80% full and tank B is 40% full.
II) Full tank of A contains 14,000 gallons of solution.
28. What is the cost price of an article?
I) The article is sold for Rs. 24 at a loss of 10%.
II) The % loss is as much as the cost price of the article.
29. The sum of ages of M,N, and O is 50 years. What is N’s age?
I) N is 10 years older than M.
II) O is 30 years old.
30. What is the difference in the ages of P and K?
I) P is 20 years older than M.
II) M is 2 years younger than Z.
31. X borrowed Rs 1,000 from Y on simple interest. What is the rate of interest per annum?
I) After four years, X paid Rs 100 as interest.
II) After four years, X paid Rs 1,100 to settle the loan.
32. Which one of the integers a, b, c, d and e are old numbers?
I) a, b, c, d and e are consective numbers.
II) c is an even number.
33. What is the distance between A and C?
I) The distance from A to B is 8cm.
II) The distance from B to C is 4cm.
34. Five friends P,Q,R,S and T are standing in a row facing East. Who is standing at the extreme right end?
I) Only P is between S and T. R is to the immediate right of T.
II) R is between T and Q.
35. If the first day of a month is Thursday, how many days were there in the last month?
I) The 4th Sunday happened to be on 25th.
II) Last day of the month was 5th Saturday of that month.
36. How far will a car travel in 1 hour?
I) The car moves at an average speed of 50km/h.
II) If a suden brake is applied, the car will take 5 sec to come to a halt.
37. In a class of 125 students 49 play only football and cricket. How many students play all the three games i.e.,football, hockey and cricket?
I) All the students in the class play circket.
II) 51 students play only hockey and cricket.
38. Who is the tallest of X,Y and Z?
I) X is the shortest of the three.
II) Y is taller than X.
39. If X/0, is 1/x>1?
I) X is greater than 0.
II) X is lesser than 1.
40. A committee consists of politicians, social workers and teachers. Which of them is the most numberous?
I) There are 2/5 as many social workers as there are politicians.
II) There are 3/7 as many politicians as there are teachers.
41. How is P related to Q?
I) J has two daughters, one of them R is married to P.
II) Q is the mother of S, they younger sister of R.
42. Who among the three friends A, B and C reached the school first?
I) A reached the school at 7.15 am, five minutes before the bell rang.
II) B reached before C, who reached the school before the bell rang.
43. In a row of 28 girls and boys, how many boys are there to the left of Shridhar?
I) If Sridhar is placed after two places to the right then he becomes 12th from the right.
II) Only every 3rd child in the row is girl.
44. How is X related to Y?
I) Y is the daughter-in-law of A.
II) X is the only son of A.
45. What is the colour of the fresh grass?
I) Blue is called green, red is called orange, orange is called yellow.
II) Yellow is called white, white is called black, green is called brown and brown is called purple.
46. What is the numerical code foor ‘water’ in a certain code?
I) The code for ‘give me whater’ is ‘719’.
II) The code for ‘you can bring water for me’ is written as ‘574186’.
47. B is the brother of A. How is A related to B?
I) A is the sister of C.
II) E is the husband of A.
48. How is M related to N?
I) P, who has only two kids, M and N, is the mother-in-law of Q, who is sister-in-law of N.
II) R, the sister-in-law of M, is the daughter-in-law of S, who has only two kids, M and N
49. How is F related to P?
I) P has two sisters M and N.
II) F’s mother is sister of M’s father.
50. P, Q, R and S are sitting around a circle facing at the centre. Who is to the immediate right of Q?
I) R is between P and S.
II) S is to the immediate right of R.
51. A, B, C, D and E are seated around a circular table facing at the centre. Who is to the immediate right of B?
I) D is in between A and E.
II) C is in between B and E.
52. Among M, N, D, P and K, who earns more than only the least earner among them?
I) N earns more than M and P but less than only D.
II) M earns more than P who earns less than only D.
53. Who among P, Q, R, S and T is the lighest?
I) R is heavier than Q and T but lighter than S.
II) S is not the heaviest.
54. Village R is in which direction with respect to village D?
I) Village R is to the north of village T which is to the west of village F.
II) Village D is to the west of village T.
55. What is the rank of P from the bottom are in a class of 30 students?
I) M is third from the top and there are five students between M and P.
II) The rank of K is fourth from the bottom and there are 17 students between K and P.
56. How much was the total sale of the company?
I) The company sold 8000 units of product A each costing Rs. 25.
II) This company has no other product line.
57. How much money do Vivek and Suman have together?
I) Suman has 20 rupees more than what Tarun has.
II) Vivek has 30 rupees more than what Tarun has.
58. The area of a playground is 1600 square metres. What is its perimeter?
I) It is a perfect square playground.
II) It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre.
59. There are three regular polygons X,Y and Z. Which has the maximum number of sides?
I) The area of Y is less than Z but larger than X.
II) The perimeter of X is less than Z but greater than Y.
60. A’s salary was increased by 20%, by what % his saving is increased?
I) He used to save 10% of his income before increment.
II) He increased his expenses just by 10% after increment.
61. What is the average salary of three employees P,Q and R of an organisation?
I) P and Q together earn Rs. 60 more than R, and R earns Rs. 100.
II)Q’s salary is half of the combined salary of P and R.
62. If A>0(zero), what is the value of one fourth of A/B?
I) B=3A II) A=5
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