Square Roots and Cube Roots Questions and Answers

Q:

The cube root of .000216 is:

A) .6	B) .06
C) 77	D) 87

Answer & Explanation Answer: B) .06

Explanation:

${(. 000216)}^{\frac{1}{3}} = {(\frac{216}{10^{6}})}^{\frac{1}{3}} = {[\frac{6 * 6 * 6}{10^{2} * 10^{2} * 10^{2}}]}^{\frac{1}{3}} = [\frac{6}{10^{2}}] = 0.06$

Workspace

Report Error

View Answer Workspace Report Error Discuss

Filed Under: Square Roots and Cube Roots - Quantitative Aptitude - Arithmetic Ability

50 11119

Q:

If $\sqrt{0.00000676} = 0.0026$ then $\sqrt{6760000}$ is:

A) 2.6	B) 26
C) 260	D) 2600

Answer & Explanation Answer: D) 2600

Explanation:

$\sqrt{6760000} = \sqrt{0.00000676 \times 10^{2}} = \sqrt{0.00000676} \times \sqrt{10^{2}} = 0.0026 \times 10^{6} = 2600$

Workspace

Report Error

View Answer Workspace Report Error Discuss

Filed Under: Square Roots and Cube Roots - Quantitative Aptitude - Arithmetic Ability

28 4057

Q:

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

A) 57	B) 67
C) 77	D) 87

Answer & Explanation Answer: C) 77

Explanation:

Money collected = (59.29 x 100) paise = 5929 paise.

Number of members = $\sqrt{5929}$ = 77.

Workspace

Report Error

View Answer Workspace Report Error Discuss

Filed Under: Square Roots and Cube Roots - Quantitative Aptitude - Arithmetic Ability

19 3590

Q:

The value of $\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$ is:

A) 4	B) 6
C) 8	D) 10

Answer & Explanation Answer: A) 4

Explanation:

$\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + 15}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + 13}}} \sqrt{10 + \sqrt{25 + 11}} \sqrt{10 + 6} \sqrt{16} = 4$

Workspace

Report Error

View Answer Workspace Report Error Discuss

Filed Under: Square Roots and Cube Roots - Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

16 2770

Q:

If x = $7 - 4 \sqrt{3} t h e n f i n d t h e v a l u e o f (x + \frac{1}{x}) ?$

A) 3sqrt{3}	B) 8sqrt{3}
C) 14	D) 14+8sqrt{3}

Answer & Explanation Answer: C) 14

Explanation:

Workspace

Report Error

View Answer Workspace Report Error Discuss

Filed Under: Square Roots and Cube Roots - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

37 2595

Q:

$\frac{3 + \sqrt{6}}{5 \sqrt{3} - 2 \sqrt{12} - \sqrt{30} + \sqrt{50}} = ?$

A) 3	B) 3sqrt{2}
C) 6	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Workspace

Report Error

View Answer Workspace Report Error Discuss

Filed Under: Square Roots and Cube Roots - Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

15 2442

Q:

If $\sqrt{18225} = 135$ , then the value of $(\sqrt{182.25} + \sqrt{1.8225} + \sqrt{0.018225} + \sqrt{0.00018225})$ is:

A) 1.49985	B) 14.9985
C) 149.985	D) 1499.85

Answer & Explanation Answer: B) 14.9985

Explanation:

Given exp = $\sqrt{\frac{18225}{10^{2}}} + \sqrt{\frac{18225}{10^{4}}} + \sqrt{\frac{18225}{10^{6}}} + \sqrt{\frac{18225}{10^{8}}}$

= $\frac{\sqrt{18225}}{10} + \frac{\sqrt{18225}}{10^{2}} + \frac{\sqrt{18225}}{10^{3}} + \frac{\sqrt{18225}}{10^{4}}$

= $\frac{135}{10} + \frac{135}{100} + \frac{135}{1000} + \frac{135}{10000}$

= 13.5+1.35+0.135+0.0135=14.9985

Workspace

Report Error

View Answer Workspace Report Error Discuss

Filed Under: Square Roots and Cube Roots - Quantitative Aptitude - Arithmetic Ability

7 2230

Q:

If $3 \sqrt{5} + \sqrt{125} = 17.88$ , then what will be the value of $\sqrt{80} + 6 \sqrt{5} = ?$

A) 13.41	B) 20.46
C) 21.66	D) 22.35

Answer & Explanation Answer: D) 22.35

Explanation:

$3 \sqrt{5} + \sqrt{125} = 17.88 \Rightarrow 3 \sqrt{5} + 5 \sqrt{5} = 17.88$

$\Rightarrow \sqrt{5} = 2.235$

$∴ \sqrt{80} + 6 \sqrt{5} = 4 \sqrt{5} + 6 \sqrt{5} = 10 \sqrt{5} = 10 \times 2.235 = 22.35$

Workspace

Report Error

View Answer Workspace Report Error Discuss

Filed Under: Square Roots and Cube Roots - Quantitative Aptitude - Arithmetic Ability

5 2145

Square Roots and Cube Roots Questions

Subscribe for our updates