# CDS Exam 2016 Mathematics Sample Services Exam Paper Part – 4

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34. If both 112 and 33 are factors of the number what is the smallest possible value of ‘a’ ?

(A) 121

(B) 3267

(C) 363

(D) 33

35. is divisible by________

(A) 2

(B) 3

(C) 9

(D) Both (2) and (3)

36. If m and n are whole numbers and , what is the value of ?

(A) 2744

(B) 1

(C) 121

(D) 1331

37. What is the value of

(A)

(8)

(C)

(D)

38. If , what is

(A) 12

(B) 16

(C) 34

(D) 36

39.

(A) 10

(B) 100

(C) 1000

(0) 10000

40.

(A) 3

(B) 3.5

(C) 4

(D) 43

41. Convert the following SOP expression to an equivalent POS expression.

(A)

(B)

(C)

(D)

42. Applying DeMorgan՚s theorem to the expression , we get

(A)

(B)

(C)

(D)

43. Determine the values of A, B, C, and D that make the product term equal to 1

(A)

(B)

(C)

(D)

44.

(A) True

(B) False

45. If , What IS the value of

(A) 36

(B) 7776

(C) 216

(D) 1296

46. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 an to form a cone. The volume of the cone so formed is:

(A)

(B)

(C)

(D)