Explore topic-wise MCQs in Arithmetic Ability.

This section includes 116 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

51.

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 ?

A. 3
B. 8
C. 8
D. annot be determined
E. one of these
Answer» B. 8
52.

What percentage of the numbers from 1 to 50 have squares that end in the digit 1 ?

A. %
B. %
C. 0%
D. 1%
E. 0%
Answer» F.
53.

Which of the following is closest to $$\sqrt 3= \,?$$

A. 0.69
B. $\frac{{173}}{{100}}$$
C. 0.75
D. $\frac{9}{5}$$
Answer» C. 0.75
54.

The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?

A. 000 and 2000
B. 000 and 3000
C. 000 and 4000
D. 000 and 5000
Answer» B. 000 and 3000
55.

R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q ?

A. R
B. R
C. R
D. R
Answer» C. R
56.

A man born in the first half of the nineteenth century was x years old in the year x2.He was born in ?

A. 806
B. 812
C. 825
D. 836
Answer» B. 812
57.

The number of perfect square numbers between 50 and 1000 is = ?

A. 1
B. 2
C. 3
D. 4
Answer» E.
58.

$$\sqrt {\frac{{25}}{{81}} - \frac{1}{9}}= ?$$

A. $\frac{2}{3}$$
B. $\frac{4}{9}$$
C. $\frac{{16}}{{81}}$$
D. $\frac{{25}}{{81}}$$
Answer» C. $\frac{{16}}{{81}}$$
59.

If $$y = 5{\text{,}}$$then what is the value of $$10y\sqrt {{y^3} - {y^2}} $$= ?

A. $50\sqrt 2 $$
B. 00
C. $200\sqrt 5 $$
D. 00
Answer» E.
60.

The square root of $$\left( {{{272}^2} - {{128}^2}} \right)$$is = ?

A. 44
B. 00
C. 40
D. 56
Answer» D. 56
61.

$$\sqrt {\sqrt {17956}+ \sqrt {24025} }=?$$

A. 9
B. 55
C. 56
D. 89
E. one of these
Answer» F.
62.

The square root of 123454321 is = ?

A. 11111
B. 2341
C. 1111
D. 1211
Answer» D. 1211
63.

The square root of 41209 is equal to = ?

A. 03
B. 03
C. 03
D. 03
Answer» C. 03
64.

$$\sqrt {11881}\times \sqrt ?= 10137$$

A. 281
B. 649
C. 216
D. 409
E. one of these
Answer» C. 216
65.

$$\sqrt ?\times \sqrt {484}= 1034$$

A. 025
B. 209
C. 304
D. 401
E. one of these
Answer» C. 304
66.

$${\left( {15} \right)^2} + {\left( {18} \right)^2} - 20 = \sqrt ? $$

A. 2
B. 3
C. 29
D. 79841
E. one of these
Answer» E. one of these
67.

$$\sqrt {176 + \sqrt {2401} } $$is equal to=?

A. 4
B. 5
C. 8
D. 4
Answer» C. 8
68.

$${\left( {\sqrt 3- \frac{1}{{\sqrt 3 }}} \right)^2}\,{\text{simplifies}}\,{\text{to:}}$$

A. $\frac{3}{4}$$
B. $\frac{4}{{\sqrt 3 }}$$
C. $\frac{4}{3}$$
D. one of these
Answer» D. one of these
69.

$$\sqrt {0.0169 \times ?}= 1.3$$

A. 0
B. 00
C. 000
D. one of these
Answer» C. 000
70.

If $$\sqrt 5= 2.236, $$then the value of $$\frac{{\sqrt 5 }}{2}$$ $$ - $$ $$\frac{{10}}{{\sqrt 5 }}$$ $$ + $$ $$\sqrt {125} $$is equal to :

A. 0.59
B. 0.826
C. 0.944
D. 0.062
Answer» C. 0.944
71.

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?

A. 0
B. 3
C. 4
D. 5
Answer» D. 5
72.

If a = 0.1039, then the value of $$\sqrt {4{a^2} - 4a + 1}+ 3a$$is:

A. 0.1039
B. 0.2078
C. 0.1039
D. 0.1039
Answer» D. 0.1039
73.

If $$a = 0.1039{\text{,}}$$then the value of $$\sqrt {4{a^2} - 4a + 1} $$$$ + $$ $$3a$$is ?

A. 0.1039
B. 0.2078
C. 0.1039
D. 0.1039
Answer» D. 0.1039
74.

$${\left( {\sqrt 3- \frac{1}{{\sqrt 3 }}} \right)^2}$$simplifies to ?

A. $\frac{3}{4}$$
B. $\frac{4}{{\sqrt 3 }}$$
C. $\frac{4}{3}$$
D. one of these
Answer» D. one of these
75.

The value of $$\sqrt {\frac{{{{\left( {0.03} \right)}^2} + {{\left( {0.21} \right)}^2} + {{\left( {0.065} \right)}^2}}}{{{{\left( {0.003} \right)}^2} + {{\left( {0.021} \right)}^2} + {{\left( {0.0065} \right)}^2}}}} $$is ?

A. 0.1
B. 0
C. ${10^2}$$
D. ${10^3}$$
Answer» C. ${10^2}$$
76.

$$\sqrt {110.25}\times \sqrt {0.01} \, \div $$$$\sqrt {0.0025} $$$$ - $$ $$\sqrt {420.25} $$equals ?

A. 0.5
B. 0.64
C. 0.73
D. 0.75
Answer» B. 0.64
77.

The approximate value of $$\frac{{3\sqrt {12} }}{{2\sqrt {28} }}$$$$ \div $$ $$\frac{{2\sqrt {21} }}{{\sqrt {98} }}$$is ?

A. 0.0605
B. 0.0727
C. 0.6007
D. 0.6026
Answer» B. 0.0727
78.

Given $$\sqrt 2= 1.414.$$Then the value of $$\sqrt 8 $$$$ + $$ $$2\sqrt {32} $$$$ - $$ $$3\sqrt {128} $$$$ + $$ $$4\sqrt {50} $$is = ?

A. 0.426
B. 0.484
C. 0.526
D. 0.876
Answer» C. 0.526
79.

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

A. 3.41
B. 0.46
C. 1.66
D. 2.35
Answer» E.
80.

The value of $$\sqrt 2 $$up to three places of decimal is = ?

A. 0.41
B. 0.412
C. 0.413
D. 0.414
Answer» E.
81.

Three-fifth of the square of a certain number is 126.15. What is the numbers ?

A. 4.5
B. 5.69
C. 45
D. 10.25
Answer» B. 5.69
82.

If $$\sqrt {\left( {x - 1} \right)\left( {y + 2} \right)}= 7,$$x and y being positive whole numbers, then the values of x and y respectively are ?

A. , 5
B. 5, 12
C. 2, 19
D. one of these
Answer» B. 5, 12
83.

If $$\sqrt {1369}+ \sqrt {0.0615 + x} $$= 37.25, the x is equal to ?

A. ${10^{ - 1}}$$
B. ${10^{ - 2}}$$
C. ${10^{ - 3}}$$
D. one of these
Answer» D. one of these
84.

$$\sqrt {\frac{{0.0196}}{?}}= 0.2$$

A. 0.49
B. 0.7
C. 0.9
D. one of these
Answer» B. 0.7
85.

If $$\sqrt x\div \sqrt {441}= 0.02{\text{,}}$$then the value of x is ?

A. 0.1764
B. 0.764
C. 0.64
D. 0.64
Answer» B. 0.764
86.

If $$0.13 \div {p^2} = 13{\text{,}}$$then p equals = ?

A. 0.01
B. 0.1
C. 0
D. 00
Answer» C. 0
87.

If $$\sqrt {x + \frac{x}{y}}= x\sqrt {\frac{x}{y}} {\text{,}}$$where x and y are positive real numbers, then y is equal to ?

A. ${\text{x}} + 1$$
B. ${\text{x}} - 1$$
C. ${{\text{x}}^2} + 1$$
D. ${{\text{x}}^2} - 1$$
Answer» E.
88.

What should come in place of both the question marks in the equation ?$$\frac{?}{{\sqrt {128} }} = \frac{{\sqrt {162} }}{?}$$

A. 2
B. 4
C. 44
D. 96
Answer» B. 4
89.

Which number should replace both the question marks in the following equation ?$$\frac{?}{{1776}} = \frac{{111}}{?}$$

A. 43
B. 14
C. 44
D. 43
E. one of these
Answer» F.
90.

For what value of * the statement $$\left( {\frac{*}{{15}}} \right)$$ $$\left( {\frac{*}{{135}}} \right)$$= 1 is true ?

A. 5
B. 5
C. 5
D. 5
Answer» E.
91.

If $$\frac{{52}}{x} = \sqrt {\frac{{169}}{{289}}} {\text{,}}$$the value of x is = ?

A. 2
B. 8
C. 2
D. 8
Answer» E.
92.

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

A. 3.41
B. 0.46
C. 1.66
D. 2.35
Answer» E.
93.

$$\sqrt {1.5625}= ?$$

A. 0.05
B. 0.25
C. 0.45
D. 0.55
Answer» C. 0.45
94.

What should come in place of both x in the equation $$\frac{x}{{\sqrt {128} }} = \frac{{\sqrt {162} }}{x}$$

A. 2
B. 4
C. 44
D. 96
Answer» B. 4
95.

How many two-digit numbers satisfy this property.: The last digit (unit\'s digit) of the square of the two-digit number is 8 ?

A. 2
B. 1
C. None of these
D. 3
Answer» D. 3
96.

The square root of 64009 is:

A. 253
B. 347
C. 363
D. 803
Answer» B. 347
97.

The least perfect square, which is divisible by each of 21, 36 and 66 is:

A. 213444
B. 214344
C. 214434
D. 231444
Answer» B. 214344
98.

How many two-digit numbers satisfy this property.: The last digit (unit"s digit) of the square of the two-digit number is 8 ?

A. 1
B. 2
C. 3
D. None of these
Answer» E.
99.

If 3‚Äö√ √∂5 + ‚Äö√ √∂125 = 17.88, then what will be the value of ‚Äö√ √∂80 + 6‚Äö√ √∂5?%!

A. 13.41
B. 20.46
C. 21.66
D. 22.35
Answer» E.
100.

*$_If 3‚Äö√ √∂5 + ‚Äö√ √∂125 = 17.88, then what will be the value of ‚Äö√ √∂80 + 6‚Äö√ √∂5??

A. 13.41
B. 20.46
C. 21.66
D. 22.35
Answer» E.