Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the value of x if $(15625)^1.5 × 5^5$ ÷ $625^4.5$ = $5^x$?

### Question 2

If $7^{m + n} = 117649$, and $7^{m - n} = 49$, then what is m?

**A**

4.

**B**

4.5.

**C**

5.5.

**D**

6.5.

**Soln.**

**Ans: a**

By inspection, both the expressions can be simplified to $7^{m + n} = 7^6$ and $7^{m - n} = 7^2$. The bases are same, so powers should be same as well. So these expressions lead us to two simultaneous equations $m + n = 6$ and $m - n = 2$. Solving, we get $m = {6 + 2}/2$ = 4. Note: The trick in such type of questions is to keep an eye on the "bases".

### Question 3

If $2^3.4 = p, and 2^2.6 = q$ and $p^m = q^3$ then what is the value of m?

### Question 4

If $√7744 = 88$, then what is the value of $√77.44$ + $√0.7744$ + $√0.007744$ + $√0.00007744$?

### Question 5

If $2^x = 16$, then what is the value of $2^{x - 1}$?

### More Chapters | See All...

Bricks and Blocks | Matrix Test | Surds and Indices | Probability | Direction Sense Test | Hidden Figures | Areas | Volume and Surface Areas | Compound Interest | Statements and Conclusions | More...

This Blog Post/Article "Surds and Indices Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-14.