Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

If $4^{m + n} = 4096$, and $4^{m - n} = 64$, then what is m?

**A**

4.5.

**B**

5.0.

**C**

6.0.

**D**

7.0.

**Soln.**

**Ans: a**

By inspection, both the expressions can be simplified to $4^{m + n} = 4^6$ and $4^{m - n} = 4^3$. The bases are same, so powers should be same as well. So these expressions lead us to two simultaneous equations $m + n = 6$ and $m - n = 3$. Solving, we get $m = {6 + 3}/2$ = 4.5. Note: The trick in such type of questions is to keep an eye on the "bases".

### Question 2

What is $31^3.1 × 31^x = 31^1.8$?

### Question 3

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

### Question 4

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

### Question 5

If $p^q = 512$, then what could be $(p - 1)^(q + 1)$?

### More Chapters | See All...

Course of Action | Mirror Images | Pipes and Cisterns | Paper Cutting | Ranking Test | Sitting Arrangements | Direction Sense Test | Partnerships | HCF and LCM | Statements and Assumptions | More...

This Blog Post/Article "Surds and Indices Quiz Set 013" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.