Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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".

### Question 2

What is $({11/26})^0.03 × ({11/26})^x = ({11/26})^0.14$?

### Question 3

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

### Question 4

What is $({16/7})^2.9 × ({16/7})^x = ({16/7})^1.6$?

### Question 5

If $√4761 = 69$, then what is the value of $√47.61$ + $√0.4761$ + $√0.004761$ + $√0.00004761$?

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This Blog Post/Article "Surds and Indices Quiz Set 002" 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