Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the value of x if $(625)^1.5 × 5^5$ ÷ $25^2.5$ = $5^x$?

### Question 2

If $8^{m + n} = 2097152$, and $8^{m - n} = 4096$, 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 $8^{m + n} = 8^7$ and $8^{m - n} = 8^4$. 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 3

If $p^q = 36$, then what could be $(p - 1)^(q + 1)$?

### Question 4

If $√54$ is approximately $7$, then what is $54^1.5$?

### Question 5

If $√5329 = 73$, then what is the value of $√53.29$ + $√0.5329$ + $√0.005329$ + $√0.00005329$?

### More Chapters | See All...

Alphabet Number Series | Boats and Streams | Paper Folding | Analogies | Logarithms | Cubes and Dice | Time and Work | Square and Cube Roots | Clocks and Calendars | Volume and Surface Areas | More...

This Blog Post/Article "Surds and Indices Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.