Aptitude : : Surds and Indices Questions & Answers
- If $ 5^{a} =3125 $, then find the value of $ 5^{(a-3)} $ is:
A. 25
B. 125
C. 625
D. 1625
- If $ 2^{2n-1} =\dfrac{1}{8^{n-3}} $, then find the value of $n$?
A. 3
B. 2
C. 0
D. -2
- If $ \dfrac{9^{n}\times3^{5}\times27^{3}}{3\times 81^{4}} =27 $, then the value of $n$ is:
A. 3
B. 2
C. 0
D. -2
- $ {(\dfrac{x^b}{x^c})}^{(b+c-a)} \times {(\dfrac{x^c}{x^a})}^{(c+b-a)} \times {(\dfrac{x^a}{x^b})}^{(a+b-c)}=? $
A. $x^{abc}$
B. 1
C. $x^{ab+bc+ca}$
D. $x^{a+b+c}$
- If $\text{m}$ and $\text{n}$ are whole numbers such that $\text{m}^\text{n}= 121$, then the value of $(\text{m} - 1)^{\text{n}+1}$ is:
A. 1
B. 10
C. 121
D. 1000