Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the value of ${√7}/6$ − $3/{√7}$?

**A**

${-11√7}/42$.

**B**

${+11√7}/42$.

**C**

${-13√7}/42$.

**D**

${+13√7}/42$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√7)^2} - 6 × 3}/{6 × √7}$, which is same as ${7 - 18}/{6 × √7}$, which is same as ${-11/{6 × √7}$. Rationalizing, we get ${-11/{6 × √7} × {√7/√7}$ which gives ${-11√7}/42$

### Question 2

What is the least number that should be subtracted from 0.0604 to make it a perfect square?

### Question 3

If $√2$ = 1.41, then what is the value of ${√2}/5$ − $11/{√2}$?

**A**

-7.495.

**B**

+7.495.

**C**

-9.81.

**D**

+9.81.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√2)^2} - 5 × 11}/{5 × √2}$, which is same as ${2 - 55}/{5 × √2}$, which is same as ${-53/{5 × √2}$. Rationalizing, we get ${-53/{5 × √2} × {√2/√2}$ which gives ${-53√2}/10$ which = -7.495.

### Question 4

Each car of a garage has as many litres of petrol as is the total number of cars in that garage. If there are 196 litres of petrol in all, how many cars are there?

### Question 5

One-fourth of the cube-root of which number is 0.7?

### More Chapters | See All...

Averages | Blood Relations | Paper Cutting | Verification of truth | Alligations and Mixtures | Missing Numbers | Time and Work | Basic Simplification | Distance and Time | Probability | More...

This Blog Post/Article "Square and Cube Roots Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.