Mathematical Ability - Square and Square Root, Cube and Cube Root
Exam Duration: 45 Mins Total Questions : 25
If \(\sqrt{2}=1.441\) then \(\sqrt{\frac{625}{98}}\) is
- (a)
2.520
- (b)
5.55
- (c)
2.525
- (d)
2.53
The number of digits in the square root of 390625:
- (a)
1
- (b)
2
- (c)
3
- (d)
4
\(\sqrt{\sqrt{2500}+\sqrt{961}}=(?)^2\)
- (a)
81
- (b)
3
- (c)
6561
- (d)
9
In the following identify the pythagorean triplets
- (a)
1,2,3
- (b)
6, 8, 10
- (c)
3,4,5
- (d)
1, 1, 1
The length of the side of the square whose area is 441 m2.
- (a)
12 rn
- (b)
24 m
- (c)
11 m
- (d)
21 m
The square root of odd number is always
- (a)
odd
- (b)
even
- (c)
six
- (d)
multiple of nine
In the following identify the perfect cube is
- (a)
400
- (b)
3375
- (c)
55
- (d)
100
In the following identify which is not a perfect cube?
- (a)
128
- (b)
1000
- (c)
15625
- (d)
100
The smallest number by which 243 must be multiplied to obtain a perfect cube
- (a)
1
- (b)
2
- (c)
3
- (d)
5
The smallest whole number by which 192 must be divided to obtain a perfect cube.
- (a)
1
- (b)
2
- (c)
3
- (d)
5
The cube root of 110592 is
- (a)
48
- (b)
38
- (c)
59
- (d)
52
\(\sqrt{\frac{(0.27)^2+(0.21)^2+(0.29)^2}{(0.027)^2+(0.021)^2+(0.029)^2}}=?\)
- (a)
0.1
- (b)
0.01
- (c)
10
- (d)
100
\(\sqrt{\frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64}}=?\)
- (a)
24
- (b)
2.4
- (c)
0.024
- (d)
0.24
\(\sqrt{9216}+\sqrt{12544}=?\)
- (a)
196
- (b)
200
- (c)
206
- (d)
none of these
The volume of cube box is 474.552 cm3.The edge of a cube is
- (a)
7.6 cm
- (b)
7.7 cm
- (c)
7.8 cm
- (d)
7.9 cm
The cube root of 0.003375 is
- (a)
0.14
- (b)
0.15
- (c)
0.25
- (d)
0.35
\(\sqrt[3]{?}=\sqrt[3]{4}\times\sqrt[3]{5}\times\sqrt[3]{6}\)
- (a)
120
- (b)
110
- (c)
130
- (d)
115
\(\sqrt[3]{15\frac{2}{3}}=\frac{\sqrt[3]{?}}{\sqrt[3]{3}}\)
- (a)
45
- (b)
37
- (c)
27
- (d)
47
\(\sqrt[3]{0.1\times0.1\times0.1\times13\times13\times13}\)
- (a)
1
- (b)
1.3
- (c)
3.7
- (d)
1.2
Square root of \((\frac{0.081}{0.0064}\times\frac{0.484}{6.25}\times\frac{2.5}{12.1})\) is
- (a)
0.45
- (b)
0.75
- (c)
0.95
- (d)
0.99
The three numbers are to one another 2: 3 : 4. The sum of their cubes is 0.334125. Then the numbers are
- (a)
0.2,0.4,0.6
- (b)
0.3,0.4,0.6
- (c)
0.3,0.43,0.6
- (d)
0.3,0.45,0.6
The value of \((\frac{\sqrt{3}+1}{\sqrt{3}-1}+\frac{\sqrt{3}-1}{\sqrt{3}+1})\) is
- (a)
1
- (b)
2
- (c)
\(2/\sqrt{3}\)
- (d)
4
If \(\frac{3+\sqrt{6}}{\sqrt{3}+\sqrt{2}}=a+b\sqrt{3}\), then a and b is
- (a)
1,0
- (b)
1,1
- (c)
0,1
- (d)
0,0
If x =\(\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\), find \(x^3+\frac{1}{x^3}\)
- (a)
488
- (b)
487
- (c)
388
- (d)
489
Evaluate: \(\frac{15}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}\), given that \(\sqrt{5}=2.236\) and \(\sqrt{10}=3.162\)
- (a)
5.390
- (b)
5.398
- (c)
6.982
- (d)
5.392