SSC CGL 2022 PYQ — Question 18

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q18

Three fractions x, y and z are such that x > y > z. When the smallest of them is divided by the greatest, the result is $\frac{9}{16}$ , which exceeds y by 0.0625. If x + y + z = 2 $\frac{3}{12}$ , then what is the value of x + z?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. $\frac{7}{4}$

Here, (1/x)/(1/z) = 9/16

z/x = 9/16

y = 9/16 - 0.0625

y = 9/16 - 1/16 = 1/2

x + y + z = 2 $\frac{3}{12}$

x + z = 27/12 - 1/2 = 21/12

x + z = 7/4.