Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is $({11/12})^{x - 0.27} × ({11/12})^x = ({11/12})^0.32$?

### 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

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

### Question 4

What is $({4/34})^{x - 0.18} × ({4/34})^x = ({4/34})^0.23$?

### Question 5

What is the value of x if $(117649)^3.5 × 7^8$ ÷ $49^2.5$ = $7^x$?

### More Chapters | See All...

Distance and Time | Volume and Surface Areas | Logarithms | Averages | Coding Decoding | Inequalities | Problems on Trains | Mirror Images | HCF and LCM | Missing Numbers | More...

This Blog Post/Article "Surds and Indices Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.