CDS Exam 2016 Mathematics Sample Services Exam Paper Part – 3

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23. A man co red a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:





24. Ravi and Kumar are working an assignment. Ravi takes 6 hours to type 32 pages on a computer, While Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

(A) 7 hours 30 minutes

(B) 8 hours

(C) 8 hours 15 minutes

(D) 8 hours 25 minutes

25. Twenty women can do a work in sateen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

(A) 3: 4

(B) 4: 3

(C) 5: 3

(D) Data inadequate

26. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

(A) 30 days

(B) 40 days

(C) 60 days

(D) 70 days

27. A student has to secure 40 % marks to pass. He gets 178 marks and fails by 22 marks. The maximum marks are?

(A) 200

(B) 1000

(C) 500

(D) 800

28. It is known that 20 % of the mangoes are rotten. If number of rotten mangoes is 35, then the total number of mangoes is

(A) 175

(B) 180

(C) 150

(D) 185

29. A manufacturer sells three products i.e.. , A, B, and C Product A costs 300 and sells for 330, Product B costs 150 and sells for 165, Product C costs 100 and sells for 110. On which product, he has maximum percentage of profit?




(D) A, B, C

30. On selling 17 balls at ₹ 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

(A) ₹ 45

(B) ₹ 50

(C) ₹ 55

(D) ₹ 60

31. A trader mixes 26 kg of rice at ₹ 20 per kg with 30 kg of rice of other variety at ₹ 36 per kg and sells the mixture at ₹ 30 per kg. His profit percent is:

(A) No profit, No loss

(B) 5 %

(C) 8 %

(D) 10 %

32. Diya is twice as old as shruti. What is the difference in their ages?

I. Five years hence, the ratio of their ages would be 9: 5

II. Ten years back, the ratio of their ages was 3: 1

(A) I alone sufficient while II alone not sufficient to answer

(B) II alone sufficient while I alone not sufficient to answer

(C) Either l or II alone sufficient to answer

(D) Both I and II are not sufficient to answer

33. Father is aged three times more than his son Ronit. After 8 years, he would be two and a half tines of Ronit՚s age. After further 8 years, h many times would he be of Ronit՚s age?

(A) 2 times

(B) 2 %

(C) 2 % times

(D) 3 times