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FPSC Assistant Director Test → Ministry of Defence (MoD) Test Past Papers, Solved MCQs, Sample Questions with Answers.

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**71.**

(A) –8

(B) –6

(C) –4

(D) –2

**72.** What is the sum of the sequence: 2+4+6+ ….. +98+100 = ?

(A) 2450

(B) 2500

(C) 2550

(D) 2600

**73.** What is the sum of the numbers: 1, 2, 3, 4, ….. 99, 100 ?

(A) 5000

(B) 5050

(C) 5100

(D) 5150

**74.** In a class of 60 students the ratio of boys to girls is 3:2. How many girls are there in the class?

(A) 21

(B) 22

(C) 23

(D) 24

**75.** What is the volume of a right-circular cylinder in cm² having radius 2cm and height 7cm?

(A) 86 cm^{2}

(B) 88 cm^{2}

(C) 90 cm^{2}

(D) 92 cm^{2}

**ANSWERS: MINISTRY OF DEFENCE (MoD) TEST**

71. (A) –8 Find the solutions below.

72. (C) 2550

73. (B) 5050

74. (D) 24

75. (B) 88 cm^{2}. Next: Assistant Director Questions 76–80

**SOLUTIONS: MINISTRY OF DEFENCE TEST**

**71. (A)**

**72. (C)** This is an arithmetic sequence with common difference of 2. The first element is 2, the last element is 100, and total elements (from 2 to 100) are 50. So, a_{1} = 2, a_{n} = 100, d = 2 and n = 50. So, by using the formula for the sum of n elemets of an arithmetic sequence, we have

**73. (B)** These are the first 100 natural numbers (n=100). So, by applying formula for the sum of the first n natural numbers, we have

**74. (D)**

**75.** (B) Here, r=2 and h=7. Hence, by using formula for finding volume of a right-circular cylinder, we have