SSC GD 2023 PYQ — Question 57

SSC GD Constable (English) - 23 Jan 2023 - Shift 3 • Quantitative Aptitude • Q57

What is the correct ascending order of the fraction 58{5{} \over 8}, 49{4{} \over 9}, 14{1 {} \over 4}, 1118{11{} \over 18}?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e.  14{1{} \over 4}<49{4{} \over 9}<1118{11{} \over 18}<58{5{} \over 8} 

Given that

The ascending order of the fraction 58{5{} \over 8}, 49{4{} \over 9},14{1 {} \over 4}, 1118{11{} \over 18} 

The LCM of (8, 9, 4, 18) = 72

Now fractions are converted into numerical value = (5/8) × 72 = 45

4/9 × 72 = 32

1/4 × 72 = 18

11/18 × 72 = 44

Now, Arrange the numbers in ascending order 18 < 32 < 44 < 45

Hence, the fractions corresponding to these numbers in also in the same ascending order

 14{1{} \over 4}<49{4{} \over 9}<1118{11{} \over 18}<58{5{} \over 8}