Topics
If a, b, c, d and e are in continued proportion, then a/e is equal to
|
A) \( \Large a^{3}/b^{3} \) |
|
B) \( \Large a^{4}/b^{4} \) |
|
C) \( \Large b^{3}/a^{3} \) |
|
D) \( \Large b^{4}/a^{4} \) |
Correct Answer:
| B) \( \Large a^{4}/b^{4} \) |
Description for Correct answer:
Since, a,b,c,d and e are in continued proportion
\( \Large \frac{a}{b}=\frac{b}{c}=\frac{c}{d}=\frac{d}{e}=>\frac{e}{d}=\frac{d}{c}=\frac{c}{b}=\frac{b}{a} \)
c=\( \Large \frac{b^{2}}{a} \) [c/b=b/a] d=\( \Large \frac{c^{2}}{b}=\frac{b^{4}}{a^{2}}.\frac{1}{b}=\frac{b^{3}}{a^{2}} \)
e=\( \Large \frac{d^{2}}{c}=\frac{b^{6}}{a^{4}}.\frac{a}{b^{2}}=\frac{b^{4}}{a^{3}} \)
\( \Large \frac{a}{e}=\frac{a}{(b^{4}/{a^{3}})}=\frac{a^{4}}{b^{4}} \)
Since, a,b,c,d and e are in continued proportion
\( \Large \frac{a}{b}=\frac{b}{c}=\frac{c}{d}=\frac{d}{e}=>\frac{e}{d}=\frac{d}{c}=\frac{c}{b}=\frac{b}{a} \)
c=\( \Large \frac{b^{2}}{a} \) [c/b=b/a] d=\( \Large \frac{c^{2}}{b}=\frac{b^{4}}{a^{2}}.\frac{1}{b}=\frac{b^{3}}{a^{2}} \)
e=\( \Large \frac{d^{2}}{c}=\frac{b^{6}}{a^{4}}.\frac{a}{b^{2}}=\frac{b^{4}}{a^{3}} \)
\( \Large \frac{a}{e}=\frac{a}{(b^{4}/{a^{3}})}=\frac{a^{4}}{b^{4}} \)
Part of solved Ratio and Proportions questions and answers : >> Aptitude >> Ratio and Proportions
Comments
Similar Questions
