Square Roots and Cube Roots Questions and Answers

Q:

Among the following which is a rational number?

A) 323	B) 325
C) 324	D) 326

Answer & Explanation Answer: B) 325

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

2 5194

Q:

Cube root of 729 then square it

A) 9	B) 36
C) 81	D) 144

Answer & Explanation Answer: C) 81

Explanation:

729 = 9 x 9 x 9

=> Cube root of 729 = 9

Now, required square of 9 = 9 x 9 = 81.

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

4 5063

Q:

If 3a=4b=6c and $a + b + c = 27 \sqrt{29}$ , then $\sqrt{a^{2} + b^{2} + c^{2}} = ?$

A) 81	B) 83
C) 87	D) None of these

Answer & Explanation Answer: C) 87

Explanation:

$4 b = 6 c \Rightarrow b = \frac{3}{2} c a n d 3 a = 4 b \Rightarrow a = \frac{4}{3} b = \frac{4}{3} (\frac{3}{2} c) = 2 c$

$a + b + c = 27 \sqrt{29} \Rightarrow 2 c + \frac{3}{2} c + c = 27 \sqrt{29} \Rightarrow c = 6 \sqrt{29}$

$∴ \sqrt{a^{2} + b^{2} + c^{2}} = \sqrt{(a + b + b)^{2} - 2 (a b + b c + c a)}$

$= \sqrt{(27 \sqrt{29})^{2} - 2 (2 c \times \frac{3}{2} c + \frac{3}{2} c \times c + c \times 2 c)}$

$= \sqrt{(729 \times 29) - 2 \times \frac{13}{2} c^{2}}$

= 87

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots

12 5044

Q:

Which of the following relation is CORRECT?

I. (√15 + √7) < (2√22)

II. (√17 + √5) < (√20 + √2)

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: A) Only I

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

0 4688

Q:

What is the square root of (√5 + 2)/(√5 – 2)?

A) √5 – √4	B) √5 + 2
C) 5 + √2	D) 7

Answer & Explanation Answer: B) √5 + 2

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

1 4657

Q:

$\sqrt{(\frac{(0.75)^{3}}{1 - 0.75} + [0.75 + {(0.75)}^{2} + 1])} = ?$

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

$\sqrt{(\frac{(0.75)^{3}}{1 - 0.75} + [0.75 + (0.75)^{2} + 1])} = \sqrt{\frac{(0.75)^{3} + (1 - 0.75) [(1)^{2} + (0.75)^{2} + 1 \times 0.75]}{1 - 0.75}}$

= $\sqrt{\frac{(0.75)^{3} + [(1)^{3} - (0.75)^{3}]}{1 - 0.75}} = \sqrt{\frac{1}{0.25}} = \sqrt{4} = 2$

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots

6 4528

Q:

If $\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}} = a + b \sqrt{3} t h e n a & b = ?$

A) a=-11,b=-6	B) a=-11,b=6
C) a=11,b=-6	D) a=11,b=6

Answer & Explanation Answer: C) a=11,b=-6

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

13 4526

Q:

Find the value of $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$ ?

A) 0	B) 1
C) 3	D) 5

Answer & Explanation Answer: C) 3

Explanation:

Given $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$

= $\sqrt{\frac{1.21 x 100 x 0.9 x 10}{1.1 x 10 x 0.11 x 100}}$

= $\sqrt{9}$

= 3.

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

8 4460

Square Roots and Cube Roots Questions

Quick Links