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Arithmetic Ability
Square Root And Cube Root
Quiz 4
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Q.1
If the product of four consecutive natural numbers increased by a natural number p, is a perfect square, then the value of p is = ?
1
2
4
8
Q.2
What percentage of the numbers from 1 to 50 have squares that end in the digit 1 ?
1%
5%
10%
11%
20%
Q.3
While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?
13
38
48
Cannot be determined
None of these
Q.4
The square root of $$\left( {{{272}^2} - {{128}^2}} \right)$$ is = ?
144
200
240
256
Q.5
If $$y = 5{\text{,}}$$ then what is the value of $$10y\sqrt {{y^3} - {y^2}} $$ = ?
$$50\sqrt 2 $$
100
$$200\sqrt 5 $$
500
Q.6
What should come in place of both the question marks in the equation ?
$$\frac{?}{{\sqrt {128} }} = \frac{{\sqrt {162} }}{?}$$
12
14
144
196
Q.7
If $$\sqrt x \div \sqrt {441} = 0.02{\text{,}}$$ then the value of x is ?
0.1764
1.764
1.64
2.64
Q.8
$$\sqrt ? \times \sqrt {484} = 1034$$
2025
2209
2304
2401
None of these
Q.9
$$\sqrt {11881} \times \sqrt ? = 10137$$
8281
8649
9216
9409
None of these
Q.10
$$\sqrt {\sqrt {17956} + \sqrt {24025} } = ?$$
19
155
256
289
None of these
Q.11
One-fourth of the sum of prime numbers, greater than 4 but less than 16, is the square of = ?
3
4
5
7
Q.12
If $$x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}$$ and $$y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}},$$ then the value of $$\left( {{x^2} + {y^2}} \right)$$ is?
10
13
14
15
Q.13
How many perfect squares lie between 120 and 300 ?
5
6
7
8
Q.14
$$\sqrt {\frac{{25}}{{81}} - \frac{1}{9}} = ?$$
$$\frac{2}{3}$$
$$\frac{4}{9}$$
$$\frac{{16}}{{81}}$$
$$\frac{{25}}{{81}}$$
Q.15
$${\left[ {{{\left( {\sqrt {81} } \right)}^2}} \right]^2} = {\left( ? \right)^2}$$
8
9
4096
6561
None of these
Q.16
In the equation $$\frac{{4050}}{{\sqrt x }} = 450{\text{,}}$$ the value of x is = ?
9
49
81
100
Q.17
$${\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2}\,{\text{simplifies}}\,{\text{to:}}$$
$$\frac{3}{4}$$
$$\frac{4}{{\sqrt 3 }}$$
$$\frac{4}{3}$$
None of these
Q.18
How many two-digit numbers satisfy this property. : The last digit (unit's digit) of the square of the two-digit number is 8 ?
1
2
3
None of these
Q.19
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:
57
67
77
87
Q.20
The square root of $$\left( {7 + 3\sqrt 5 } \right)$$ $$\left( {7 - 3\sqrt 5 } \right)$$ is
$$\sqrt 5 $$
2
4
$$3\sqrt 5 $$
Q.21
If $$\sqrt 5 = 2.236, $$ then the value of $$\frac{{\sqrt 5 }}{2}$$ $$ - $$ $$\frac{{10}}{{\sqrt 5 }}$$ $$ + $$ $$\sqrt {125} $$ is equal to :
5.59
7.826
8.944
10.062
Q.22
The cube root of .000216 is:
.6
.06
77
87
Q.23
What should come in place of both x in the equation $$\frac{x}{{\sqrt {128} }} = \frac{{\sqrt {162} }}{x}$$
12
14
144
196
Q.24
The least perfect square, which is divisible by each of 21, 36 and 66 is:
213444
214344
214434
231444
Q.25
The square root of 64009 is:
253
347
363
803
Q.26
$$\sqrt {1.5625} = ?$$
1.05
1.25
1.45
1.55
Q.27
If $$3\sqrt 5 + \sqrt {125} $$ = 17.88, then what will be the value of $$\sqrt {80} + 6\sqrt 5 \,\,?$$
13.41
20.46
21.66
22.35
Q.28
The square root of 123454321 is = ?
111111
12341
11111
11211
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