SSC GD 2024 PYQ — Question 60

SSC GD Const (English) - 24 Feb 2024 - Shift 4 • Quantitative Aptitude • Q60

Ifx=(3/8)y and y = (3/4)z, then what is the value of x : y: z?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 9:24:32 .

 x = 3 / 8y

 y =3 / 4z

⇒ x = 38y=38×34z=932z\frac{3}{8}y = \frac{3}{8} \times \frac{3}{4}z = \frac{9}{32}z

⇒ x = 932z\frac{9}{32}z

⇒ x=932z x = \frac{9}{32}z

⇒y=34zy = \frac{3}{4}z

⇒ z = z

⇒ x : y : z = 932:34:1 \frac{9}{32} : \frac{3}{4} : 1

⇒32×(932):32×(34):32×132 \times \left(\frac{9}{32}\right) : 32 \times \left(\frac{3}{4}\right) : 32 \times 1

⇒ 9 : 24 : 32