The cube root of 0.000216 is:
- (a) 0.6
- (b) 0.06
- (c) 77
- (d) 87
What should come in place of both \( x \) in the equation \( x = \frac{x}{\sqrt{128} \times \sqrt{162}} \):
- (a) 12
- (b) 14
- (c) 144
- (d) 196
The least perfect square, which is divisible by each of 21, 36, and 66 is:
- (a) 213444
- (b) 2131444
- (c) 214344
- (d) 231444
\( \sqrt{1.5625} \) is:
- (a) 1.25
- (b) 1.45
- (c) 1.55
- (d) 1.05
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
If \( a = 0.1039 \), then the value of \( \sqrt{4a^2 – 4a + 1 + 3a} \) is:
- (a) 0.1039
- (b) 0.2078
- (c) 1.1039
- (d) 2.1039
If \( x = \frac{\sqrt{3} + 1}{\sqrt{3} – 1} \) and \( y = \frac{\sqrt{3} – 1}{\sqrt{3} + 1} \), then the value of \( x^2 + y^2 \) is:
- (a) 10
- (b) 13
- (c) 14
- (d) 15
A group of students decided to collect as many paise from each member of the group as is the number of members. If the total collection amounts to Rs. 59.29, the number of members in the group is:
- (a) 57
- (b) 67
- (c) 77
- (d) 87
The square root of \( (7 + 3\sqrt{5})(7 – 3\sqrt{5}) \) is:
- (a) \( \sqrt{5} \)
- (b) 2
- (c) 4
- (d) \( 3\sqrt{5} \)
If \( 5 = 2.236 \), then the value of \( \sqrt{5} + \frac{10}{\sqrt{5}} + \sqrt{125} \) is equal to:
- (a) 5.59
- (b) 7.826
- (c) 10.062
- (d) None of these