Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is $({5/23})^0.05 × ({5/23})^x = ({5/23})^3.2$?

### Question 2

If $√65$ is approximately $8$, then what is $65^3.5$?

### Question 3

What is ${4^513}/{4^511}$?

### Question 4

If $√47$ is approximately $6$, then what is $47^2$?

### Question 5

If $4^{m + n} = 16384$, and $4^{m - n} = 256$, then what is m?

**A**

5.5.

**B**

6.0.

**C**

7.0.

**D**

8.0.

**Soln.**

**Ans: a**

By inspection, both the expressions can be simplified to $4^{m + n} = 4^7$ and $4^{m - n} = 4^4$. The bases are same, so powers should be same as well. So these expressions lead us to two simultaneous equations $m + n = 7$ and $m - n = 4$. Solving, we get $m = {7 + 4}/2$ = 5.5. Note: The trick in such type of questions is to keep an eye on the "bases".

### More Chapters | See All...

Statements and Conclusions | Problems on Numbers | Percentages | Classification Test | Deductive Reasoning | Problems on Trains | Essential Part | HCF and LCM | Simple Interest | Time and Work | More...

This Blog Post/Article "Surds and Indices Quiz Set 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.