Explore topic-wise MCQs in Arithmetic Ability.

This section includes 1365 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

1201.

(a - b)2 + 2ab = ?_x005F_x000D_

A. a2 - b2
B. a2 + b2
C. a2 - 4ab + b2
D. a2 -  2ab + b2
Answer» C. a2 - 4ab + b2
Discussion
1202.

∆DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3)._x005F_x000D_

A. 1 - √2
B. 1/√3
C. (2 - √3)/2√3
D. (2 - 2√3)/√3
Answer» C. (2 - √3)/2√3
Discussion
1203.

(8)23 = ?_x005F_x000D_

A. √4
B. 2
C. 4
D. 64
Answer» D. 64
Discussion
1204.

-70 + 28 / (7 - 3) = ?

A. -9
B. -69
C. -10.5
D. -63
Answer» E.
Discussion
1205.

(4x - 7)2 = ?_x005F_x000D_

A. 4x2 - 56x + 49
B. 4x2 - 14x + 49
C. 16x2 + 14x + 49
D. 16x2 - 56x + 49
Answer» E.
Discussion
1206.

(4a+3b+2c)2_x005F_x000D_

A. 16a^{2}-9b^{2}+4c^{2}-24ab+12bc-16ca
B. 16a^{2}+9b^{2}+4c^{2}+24ab+12bc+16ca
C. 4a^{2}+3b^{2}+2c^{2}+24ab+12bc+16ca
D. 16a^{2}+9b^{2}+4c^{2}-24ab-12bc-16ca
Answer» C. 4a^{2}+3b^{2}+2c^{2}+24ab+12bc+16ca
Discussion
1207.

(3a-4b)3 is equal to:_x005F_x000D_

A. 9a^{2}-16b^{2}
B. 27a^{3}-64b^{3}-108a^{2}b+144ab^{2}
C. 27a^{3}-64b^{3}
D. 9a^{2}-24ab+16b^{2}
Answer» C. 27a^{3}-64b^{3}
Discussion
1208.

∆XYZ is right angled at Y. If cotX = 5/12, then what is the value of secZ ?_x005F_x000D_  _x005F_x000D_

A. 44535
B. 44329
C. 13/12_x005F_x000D_
D. 44328
Answer» D. 44328
Discussion
1209.

∆UVW is right angled at V. If sinU = 4/5, then what is the value of cosecW ?_x005F_x000D_

A. 44289
B. 44320
C. 44260
D. 44259
Answer» D. 44259
Discussion
1210.

∆UVW is right angled at V. If cosU = 8/17, then what is the value of sinW ?_x005F_x000D_

A. 15/17
B. 44425
C. 42948
D. 17/15
Answer» D. 17/15
Discussion
1211.

∆DEF is right angled at E. If tanD = 12/5, then what is the value of secF ?_x005F_x000D_

A. 5/12_x005F_x000D_
B. 13/5_x005F_x000D_
C. 41395
D. 44543
Answer» E.
Discussion
1212.

∆DEF is right angled at E. If secD = 17/8, then what is the value of cosF?_x005F_x000D_

A. 15/17_x005F_x000D_
B. 15/8_x005F_x000D_
C. 8/17_x005F_x000D_
D. 17/15
Answer» B. 15/8_x005F_x000D_
Discussion
1213.

Solve the following_x005F_x000D_ 113 × 87 =?_x005F_x000D_

A. 9831
B. 10026
C. 10169
D. 10000
Answer» B. 10026
Discussion
1214.

The value of sin 30°cos 60°sin 60°cos 30°- tan 45° is_x005F_x000D_

A. 5
B.
C. 44593
D. 2
Answer» C. 44593
Discussion
1215.

Evaluate:$${{ - {{\left( {4 - 6} \right)}^2} - 3\left( { - 2} \right) + \left| { - 6} \right|} \over {18 - 9 \div 3 \times 5}}$$%!

A. 3/8
B. 4/7
C. 8/3
D. 7/4
Answer» D. 7/4
Discussion
1216.

The difference of 1 3/16 and its reciprocal is equal to = ?%!

A. 1 1/8
B. 4/3
C. 15/16
D. None of these
Answer» E.
Discussion
1217.

\eqalign{ & \frac{{{a^2} - {b^2} - 2bc - {c^2}}}{{{a^2} - {b^2} + 2ab - {c^2}}} \cr & {\text{is equivalent to = ?}} \cr} $$%!

A. (a -b + c)/(a + b + c)
B. (a - b - c)/(a - b + c)
C. (a - b - c)/(a + b - c)
D. (a + b + c)/(a - b + c)
Answer» D. (a + b + c)/(a - b + c)
Discussion
1218.

\eqalign{ & {\text{The value of}} \cr & \frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}}{\text{ is}}\,{\text{ = ?}} \cr} $$%!

A. ab/(a + b)
B. 2ab/a - b
C. (a + b)/(a - b)
D. None of these
Answer» D. None of these
Discussion
1219.

Given that ‚à ö24 is approximately equal to 4.898. ‚à ö8/3 is nearly equal to =?%!

A. 0.544
B. 1.333
C. 1.633
D. 2.666
Answer» D. 2.666
Discussion
1220.

\eqalign{ & {\text{Simplify}}\,{\text{if }}\frac{a}{b} = \frac{4}{5}{\text{ and }}\frac{b}{c} = \frac{{15}}{{16}}, \cr & {\text{then }}\frac{{{c^2} - {a^2}}}{{{c^2} + {a^2}}}{\text{ is = ?}} \cr} $$%!

A. 1/7
B. 7/25
C. 3/4
D. None of these
Answer» C. 3/4
Discussion
1221.

\eqalign{ & {\text{If }}\frac{x}{{\left( {2x + y + z} \right)}} = \frac{y}{{\left( {x + 2y + z} \right)}} = \frac{z}{{\left( {x + y + 2z} \right)}} = a{\text{,}} \cr & {\text{then find }}a\,,{\text{ if }}x + y + z \ne 0 \cr} $$%!

A. 1/3
B. 1/4
C. 1/2
D. 1/8
Answer» C. 1/2
Discussion
1222.

The difference of 1 3/16 and its reciprocal is equal to = ?%!

A. 1 1/8
B. 4/3
C. 15/16
D. None of these
Answer» E.
Discussion
1223.

\eqalign{ & {\text{Simplify:}} \cr & \frac{{\,\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) - \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right]}}{{\,\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) + \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right]}} = ? \cr} $$%!

A. 100/101
B. 90/101
C. 20/101
D. 101/100
Answer» D. 101/100
Discussion
1224.

*$_$$\eqalign{ & \frac{{{a^2} - {b^2} - 2bc - {c^2}}}{{{a^2} - {b^2} + 2ab - {c^2}}} \cr & {\text{is equivalent to = ?}} \cr} $$?

A. (a -b + c)/(a + b + c)
B. (a - b - c)/(a - b + c)
C. (a - b - c)/(a + b - c)
D. (a + b + c)/(a - b + c)
Answer» D. (a + b + c)/(a - b + c)
Discussion
1225.

*$_$$\eqalign{ & {\text{If }}\frac{x}{{\left( {2x + y + z} \right)}} = \frac{y}{{\left( {x + 2y + z} \right)}} = \frac{z}{{\left( {x + y + 2z} \right)}} = a{\text{,}} \cr & {\text{then find }}a\,,{\text{ if }}x + y + z \ne 0 \cr} $$?

A. 1/3
B. 1/4
C. 1/2
D. 1/8
Answer» C. 1/2
Discussion
1226.

*$_$$\eqalign{ & {\text{Simplify}}\,{\text{if }}\frac{a}{b} = \frac{4}{5}{\text{ and }}\frac{b}{c} = \frac{{15}}{{16}}, \cr & {\text{then }}\frac{{{c^2} - {a^2}}}{{{c^2} + {a^2}}}{\text{ is = ?}} \cr} $$?

A. 1/7
B. 7/25
C. 3/4
D. None of these
Answer» C. 3/4
Discussion
1227.

*$_Given that ‚à ö24 is approximately equal to 4.898. ‚à ö8/3 is nearly equal to =??

A. 0.544
B. 1.333
C. 1.633
D. 2.666
Answer» D. 2.666
Discussion
1228.

*$_$$\eqalign{ & {\text{The value of}} \cr & \frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}}{\text{ is}}\,{\text{ = ?}} \cr} $$?

A. ab/(a + b)
B. 2ab/a - b
C. (a + b)/(a - b)
D. None of these
Answer» D. None of these
Discussion
1229.

*/*_$$\eqalign{ & \sqrt {\frac{{0.009 \times 0.036 \times 0.016 \times 0.08}}{{0.002 \times 0.0008 \times 0.0002}}} \cr & {\text{is equal to = ?}} \cr} $$?

A. 34
B. 36
C. 38
D. 39
Answer» C. 38
Discussion
1230.

*/*_$$\eqalign{ & \sqrt {100 + \frac{1}{4}} \cr & {\text{is equal to = ?}} \cr} $$?

A. 12.0
B. 11.5
C. 11.0
D. 10.5
Answer» E.
Discussion
1231.

*/*_$$\eqalign{ & {\text{The simplified value of}} \cr & {\text{ }}\sqrt {5 + \sqrt {11 + \sqrt {19 + \sqrt {29 + \sqrt {49} } } } } = ? \cr} $$?

A. 3
B. 2
C. 4
D. 6
Answer» B. 2
Discussion
1232.

*/*_$$\eqalign{ & {\text{By how much does}} \cr & \frac{6}{{7/8}}{\text{exceed }}\frac{{6/7}}{8} = ? \cr} $$?

A. 61/8
B. 63/4
C. 73/4
D. 75/6
Answer» C. 73/4
Discussion
1233.

*/*_1/10 of a pole is coloured red, 1/20 white, 1/30 blue, 1/40 black, 1/50 violet, 1/60 yellow and the rest is green. If the length of the green portion of the pole is 12.08 metres, then the length of the pole is = ??

A. 16m
B. 18m
C. 20m
D. 30m
Answer» B. 18m
Discussion
1234.

*/*_$$\eqalign{ & \left\{ {\left( {\sqrt {72} - \sqrt {18} } \right) \div \sqrt {12} } \right\} \cr & {\text{is equal to = ?}} \cr} $$?

A. ‚à ö6
B. ‚à ö3/2
C. ‚à ö2/3
D. ‚à ö6/2
Answer» E.
Discussion
1235.

*/*_$$\eqalign{ & {\text{Simplify:}} \cr & \frac{{\,\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) - \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right]}}{{\,\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) + \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right]}} = ? \cr} $$?

A. 100/101
B. 90/101
C. 20/101
D. 101/100
Answer» D. 101/100
Discussion
1236.

*/*_The difference of 1 3/16 and its reciprocal is equal to = ??

A. 1 1/8
B. 4/3
C. 15/16
D. None of these
Answer» E.
Discussion
1237.

*/*_Evaluate:$${{ - {{\left( {4 - 6} \right)}^2} - 3\left( { - 2} \right) + \left| { - 6} \right|} \over {18 - 9 \div 3 \times 5}}$$?

A. 3/8
B. 4/7
C. 8/3
D. 7/4
Answer» D. 7/4
Discussion
1238.

_ If a + b + c = 0, find the value of$$\frac{{{a^2}}}{{\left( {{a^2} - bc} \right)}} + \frac{{{b^2}}}{{\left( {{b^2} - ca} \right)}} + \frac{{{c^2}}}{{\left( {{c^2} - ab} \right)}} = ?$$$?

A. 0
B. 1
C. 2
D. 4
Answer» D. 4
Discussion
1239.

_ $$\eqalign{ & {\text{If }}a + \frac{1}{b} = 1{\text{ and}} \cr & b + \frac{1}{c} = 1{\text{, then}} \cr & c + \frac{1}{a}{\text{ is equal to = ?}} \cr} $$$?

A. 0
B. 1/2
C. 1
D. 2
Answer» D. 2
Discussion
1240.

_ $$\eqalign{ & {\text{The value of}} \cr & \left[ {1 + \frac{1}{{x + 1}}} \right]\left[ {1 + \frac{1}{{x + 2}}} \right]\,\left[ {1 + \frac{1}{{x + 3}}} \right]\left[ {1 + \frac{1}{{x + 4}}} \right]{\text{is}} = ? \cr} $$$?

A. (x + 5)/(x + 1)
B. (x + 1)/(x + 5)
C. 1 + 1/(x + 5)
D. 1/(x + 5)
Answer» B. (x + 1)/(x + 5)
Discussion
1241.

_ (71 √ó 29 + 27 √ó 15 + 8 √ó 4) equals = ?$?

A. 3450
B. 3458
C. 2496
D. None of these
Answer» D. None of these
Discussion
1242.

_ The number, whose square is equal to the difference of the squares of 75.15 and 60.12, is = ?$?

A. 46.09
B. 48.09
C. 45.09
D. 47.09
Answer» D. 47.09
Discussion
1243.

_ $$\eqalign{ & \frac{1}{{1.2.3}} + \frac{1}{{2.3.4}} + \frac{1}{{3.4.5}} + \frac{1}{{4.5.6}} \cr & {\text{is equal to = ?}} \cr} $$$?

A. 7/30
B. 11/30
C. 13/30
D. 17/30
Answer» B. 11/30
Discussion
1244.

_ The smallest fraction which should be subtracted from the sum of 13/4, 21/2, 57/12, 31/3 and 21/4 to make the result a whole number is = ?$?

A. 5/12
B. 7/12
C. 1/2
D. 7
Answer» B. 7/12
Discussion
1245.

_ The least fraction to be subtracted from the expression$$\frac{{3\frac{1}{4} - \frac{4}{5}{\text{of}}\frac{5}{6}}}{{4\frac{1}{3} \div \frac{1}{5} - \left( {\frac{3}{{10}} + 21\frac{1}{5}} \right)}}$$to make it an integer?$?

A. 1/2
B. 5/6
C. 1/4
D. 3/10
Answer» B. 5/6
Discussion
1246.

_ If x is a positive number, then which of the following fractions has the greatest value ?$?

A. x/x
B. x/(x+1)
C. (x+1)/x
D. (x+2)/(x+3)
Answer» D. (x+2)/(x+3)
Discussion
1247.

_ $$\eqalign{ & \frac{{0.3555 \times 0.5555 \times 2.025}}{{0.225 \times 1.7775 \times 0.2222}} \cr & {\text{is equal to = ?}} \cr} $$$?

A. 5.4
B. 4.58
C. 4.5
D. 5.45
Answer» D. 5.45
Discussion
1248.

_ $$\eqalign{ & \left( {\frac{1}{2} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6}} \right) \cr & \,{\text{is divided by}} \cr & \left( {\frac{2}{3} - \frac{5}{9} + \frac{3}{5} - \frac{7}{{18}}} \right)\,{\text{,}} \cr & {\text{then the result is = ?}} \cr} $$$?

A. 5 1/10
B. 2 1/18
C. 3 1/6
D. 3 3/10
Answer» B. 2 1/18
Discussion
1249.

_ $$\eqalign{ & {\text{The simplification of}} \cr & \frac{5}{{3 + \frac{3}{{1 - \frac{2}{3}}}}}\, = ? \cr} $$$?

A. 5
B. 5/3
C. 5/12
D. 3/4
Answer» D. 3/4
Discussion
1250.

_ If ‚à ö4096 = 64, then the value of ‚à ö40.96 + ‚à ö0.004096 + ‚à ö0.00004096 up to two place of decimals is = ?$?

A. 7.09
B. 7.10
C. 7.11
D. 7.12
Answer» D. 7.12
Discussion