SSC CPO 2022 PYQ — Question 115

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q115

Arrange the given ratios in descending order
15 : 7, 5 : 11 and 21 : 77.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 15 : 7 > 5 : 11 > 21 : 77

15 ∶ 7, 5 ∶ 11 and 21 ∶ 77

In fraction form -

15/7, 5/11, 21/77

Make the denominators the same by writing the given fractions with a common denominator.

LCM (7, 11, 77) = 77

15/7 = (15 × 11)/(7 × 11) = 165/77

5/11 = (5 × 7)/(11 × 7) = 35/77

21/77 = (21 × 1)/(77 × 1) = 21/77

15/7 > 5/11 > 21/77

The descending order =  15 : 7 > 5 : 11 > 21 : 77