Mathematics → Math MCQs

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36. 
(A) –8
(B) –6
(C) –4
(D) –2

37. What is the sum of the sequence: 2+4+6+ ….. +98+100 = ?
(A) 2450
(B) 2500
(C) 2550
(D) 2600

38. What is the sum of the numbers: 1, 2, 3, 4, ….. 99, 100 ?
(A) 5000
(B) 5050
(C) 5100
(D) 5150

39. 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

40. What is the volume of a right-circular cylinder in cm² having radius 2cm and height 7cm?
(A) 86 cm²
(B) 88 cm²
(C) 90 cm²
(D) 92 cm²

ANSWERS: MATH MCQS
36. (A) –8
37. (C) 2550
38. (B) 5050
39. (D) 24
40. (B) 88 cm²

SOLUTIONS: MATH MCQS

36. (A)

37. (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, a₁ = 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

38. (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

39. (D)

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

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