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Information and Communication Technology MCQ - Number System

51 Descending order of 15/16,11/20,13/25 is

∴ x-y=4 =>x=4+y
and 1/x+1/y=10/21
=1/4+y+1/y=10/21 =>y+4+y/y²4y=10/21

=> 42y+ 84 = lOy² + 40y

=> lOy² - 2y - 84 = 0 => 5y² -y- 42 = 0

=> 5y² -15y+ 14y- 42 = 0
=> 5y(y -3) + 14(y - 3) = 0
∴ y = 3

52 Find the sum of first 21 odd numbers.

Sum of first n odd numbers is = n²

∴ Required sum = 21² = 441

53 If sum of six consecutive odd numbers is 168, then find the largest of these numbers.

Let the odd number be 2x+ 1 Then, 1(2x-5)+ (2x- 3)+ (2x-l) +(2x+ 1)+(2x+3)+(2x+5)=168 => 12x = 168 =>x = 14 :. Largestis 2x+5 = 28+5 = 33

54 Find the sum of all prime numbers less than 20.

2+ 3+5+7+ 11+ 13+ 17+ 19=77

55 Afraction is equivalent to 5/8 Its denominator and numerator add upto 9L What is the difference between the denominator and numerator of this fraction?

Let the fraction be 5x/7y Now, sum of numerator and denominator = 91 i.e 5x + 8y = 91 => 13x = 91 => x = 7 ∴ Numerator = 35 and denominator = 56 :. Difference of denominator and numerator = 56 - 35 = 21

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Question:

Afraction is equivalent to 5/8 Its denominator and numerator add upto 9L What is the difference between the denominator and numerator of this fraction?

A. 19
B. 21
C. 3
D. 13

Correct answer: B

Explanation:

Let the fraction be 5x/7y Now, sum of numerator and denominator = 91 i.e 5x + 8y = 91 => 13x = 91 => x = 7 ∴…

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