Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

If $2^{m + n} = 32$, and $2^{m - n} = 4$, then what is m?

**A**

3.5.

**B**

4.0.

**C**

5.0.

**D**

6.0.

**Soln.**

**Ans: a**

By inspection, both the expressions can be simplified to $2^{m + n} = 2^5$ and $2^{m - n} = 2^2$. The bases are same, so powers should be same as well. So these expressions lead us to two simultaneous equations $m + n = 5$ and $m - n = 2$. Solving, we get $m = {5 + 2}/2$ = 3.5. Note: The trick in such type of questions is to keep an eye on the "bases".

### Question 2

What is ${4^584}/{4^581}$?

### Question 3

If $√4489 = 67$, then what is the value of $√44.89$ + $√0.4489$ + $√0.004489$ + $√0.00004489$?

### Question 4

What is the value of x if $(64)^3 × 2^3$ ÷ $16^1.5$ = $2^x$?

### Question 5

If $13^1.1 = p, and 13^2.5 = q$ and $p^m = q^4$ then what is the value of m?

This Blog Post/Article "Surds and Indices Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-13