Let x, y, x be fractions such that x 5/2 , which exceeds y by 7/4 . If x + y + z = 1 11/12 , then the ratio of (z - x) : (y - x) is:

Let x, y, x be fractions such that x 5/2 , which exceeds y…

Let x, y, x be fractions such that x < y < z. If z is divided by x, the result is $\frac{5}{2}$ , which exceeds y by $\frac{7}{4}$ . If x + y + z = 1 $\frac{11}{12}$ , then the ratio of (z - x) : (y - x) is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 6 : 5.

z/x = 5/2

y = 5/2 - 7/4 = 3/4.

x + y + z = 1 $\frac{11}{12}$

2x + 3/4 + 5x = 23/12

7x = 14/12

x = 1/6

x = 2x = 2 × 1/6 = 1/3.

z = 5x = 5 × 1/6 = 5/6

(z - x) : (y - x) = (5/6 - 1/3) : (3/4 - 1/3) = (1/2) : (5/12) = 6 : 5.

SSC CGL 2022 PYQ — Question 66