ABC26GN3043 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

The present ages of $A, B$ and $C$ are in the ratio of 8 : 14 : 22 respectively. The present ages of $B, C$ and $D$ are in the ratio of 21 : 33 : 44 respectively. Which of the following represents the ratio of the present ages of $A, B, C$ and $D$ respectively?

(a)12 : 21 : 36 : 44

(b)12 : 21 : 33 : 44

(c)12 : 22 : 31 : 44

(d)Cannot be determined

(e)None of these

Answer

Answer (as printed): B

Explanation

$\mathrm{A}: \mathrm{B}: \mathrm{C}=8: 14: 22, \mathrm{B}: \mathrm{C}: \mathrm{D}=21: 33: 44$ $$=\left(21 \times \frac{2}{3}\right):\left(33 \times \frac{2}{3}\right):\left(44 \times \frac{2}{3}\right)=14: 22: \frac{88}{3} . \begin{aligned} \therefore A: B: C & : D=8: 14: 22: \frac{88}{3}=24: 42: 66: 88 \\ & =12: 21: 33: 44 . \end{aligned}$$

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