If a: b=b: c, then a⁴: b⁴ would be equal to · ABC26GN3013
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: C.P.O. 2006
If $a: b=b: c$, then $a^{4}: b^{4}$ would be equal to
(a)$a c: b^{2}$
(b)$a^{2}: c^{2}$
(c)$c^{2}: a^{2}$
(d)$b^{2}: a c$
Answer
Explanation
$$\begin{aligned} & \frac{a}{b}=\frac{b}{c} \Rightarrow b^{2}=a c \Rightarrow \frac{a^{4}}{b^{4}}=\frac{a^{4}}{(a c)^{2}}=\frac{a^{4}}{a^{2} c^{2}}=\frac{a^{2}}{c^{2}} \\ & \Rightarrow a^{4}: b^{4}=a^{2}: c^{2} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
Study loop for Ratio and Proportion
· Browse this chapter in the app