Explore topic-wise MCQs in Arithmetic Ability.

This section includes 924 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

651.

If the radius of a circle is increased by 25%, its area increases by:

A. 50 percent
B. 25 percent
C. 28.125 percent
D. 56.25 percent
Answer» E.
Discussion
652.

If the radius of a circle is increased by 14% its area increases by

A. 28 percent
B. 29.96 percent
C. 14 percent
D. 14.98 percent
Answer» C. 14 percent
Discussion
653.

If the radius of a circle is decreased by 50% , find the percentage decrease in its area.

A. 0.75
B. 0.65
C. 0.35
D. 0.25
Answer» B. 0.65
Discussion
654.

If the radius of a circle is decreased to 25% of its original value, calculate the percentage decrease in the area of the circle

A. 0.25
B. 0.4375
C. 0.5
D. 0.9375
Answer» E.
Discussion
655.

If the radius of a circle is decreased by 50%, find the percentage decrease in its area.

A. 0.55
B. 0.65
C. 0.75
D. 0.85
Answer» D. 0.85
Discussion
656.

If the perimeters of a square and a rectangle are the same, then the area a & b enclosed by them would satisfy the condition:

A. a
B. a>b
C. a=b
D. none
Answer» C. a=b
Discussion
657.

If the perimeter of a semicircle is 72 cm, then find its area (in cm²)._x005F_x000D_

A. 308
B. 616
C. 160
D. 320
Answer» B. 616
Discussion
658.

If the perimeter of a semicircle is 36 cm, then find its area (in cm2).

A. 154
B. 35
C. 77
D. 70
Answer» D. 70
Discussion
659.

If the perimeter of a semicircle is 108 cm, then find its area (in cm²).

A. 1386
B. 512
C. 693
D. 1024
Answer» B. 512
Discussion
660.

If the perimeter of a semi-circle is 36 cm, then find its radius (in cm).

A. 7
B. 14
C. 13
D. 26
Answer» B. 14
Discussion
661.

If the perimeter of a semi-circle is 144 cm, then find its radius (in cm)._x005F_x000D_

A. 56_x005F_x000D_
B. 29_x005F_x000D_
C. 28_x005F_x000D_
D. 58
Answer» D. 58
Discussion
662.

If the perimeter of a semi-circle is 108 cm, then find its radius (in cm).

A. 42
B. 28
C. 56
D. 21
Answer» E.
Discussion
663.

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

A. 12 cm
B. 6 cm
C. 1 cm
D. 2 cm
Answer» E.
Discussion
664.

If the measure of the interior angle of a regular polygon is 60 deg greater than the measure of its exterior angle then how many sides does it have?_x005F_x000D_  _x005F_x000D_

A. 8
B. 9
C. 10
D. 6
Answer» E.
Discussion
665.

If the measure of the interior angle of a regular polygon is 120 deg then how many sides does it have?_x005F_x000D_

A. 6
B. 8
C. 9
D. 10
Answer» B. 8
Discussion
666.

If the lengths of the two parallel sides of a trapezium are 8 cm and 10 cm and the distance between these parallel sides is 6 cm. Find its area  in cm2_x005F_x000D_

A. 27
B. 108
C. 54
D. 81
Answer» D. 81
Discussion
667.

If the lengths of the two parallel sides of a trapezium are 5 cm and 7 cm and the distance between these parallel sides is 4 cm. Find its area (in cm2)._x005F_x000D_

A. 12_x005F_x000D_
B. 24_x005F_x000D_
C. 48_x005F_x000D_
D. 36
Answer» C. 48_x005F_x000D_
Discussion
668.

If the lengths of the two parallel sides of a trapezium are 5 cm and 7 cm and its area is 24 sq.cm. Find the distance between its parallel sides (in cm)._x005F_x000D_  _x005F_x000D_

A. 2
B. 4
C. 8
D. 6
Answer» C. 8
Discussion
669.

If the lengths of the two parallel sides of a trapezium are 4 cm and 6 cm and its area is 25 cm². Find the distance between its parallel sides (in cm).

A. 2.5
B. 10
C. 5
D. 7.5
Answer» D. 7.5
Discussion
670.

If the length of the transverse tangent is 8 cm, then calculate the centre distance (in cm) of the two circles with radii 7 cm and 3 cm._x005F_x000D_

A. √100
B. √120_x005F_x000D_
C. √164_x005F_x000D_
D. √180
Answer» D. √180
Discussion
671.

If the length of the side of an equilateral triangle is 8 cm, what is its area?

A. 32√3 sq cm
B. 16 sq cm
C. 16√3 sq cm
D. 32 sq cm
Answer» D. 32 sq cm
Discussion
672.

If the length of the side of an equilateral triangle is 6 cm, what is its area?

A. 18√3 sq cm
B. 36√3 sq cm
C. 27√3 sq cm
D. 9√3 sq cm
Answer» E.
Discussion
673.

If the length of the diagonal of a square is 20cm,then its perimeter must be_x005F_x000D_ a. 402cm     b. 302cm    c. 10cm    d. 152cm

A. a
B. b
C. c
D. d
Answer» B. b
Discussion
674.

If the length of one side and the diagonal of a rectangle are 5 cm and 13 cm respectively, then find its perimeter (in cm).

A. 68
B. 34
C. 25
D. 50
Answer» C. 25
Discussion
675.

If the length of one side and the diagonal of a rectangle are 10 cm and 26 cm respectively, then find its perimeter (in cm)._x005F_x000D_

A. 136
B. 31
C. 68
D. 62
Answer» D. 62
Discussion
676.

If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.

A. 20
B. 30
C. 40
D. 50
Answer» E.
Discussion
677.

If the interior angle of a polygon is 108°, then it is a_x005F_x000D_

A. Octagon
B. Hexagon
C. Pentagon
D. Tetragon
Answer» D. Tetragon
Discussion
678.

If the diameter of the two circles is 6 units and 10 units and a centre distance of 8 units. Calculate the number of common tangents that can be drawn to both the circle._x005F_x000D_

A. 2
B. 3
C. 4
D. Infinite
Answer» C. 4
Discussion
679.

If the diameter of a circle is 7 cm, then what will be its circumference (in cm)?_x005F_x000D_

A. 44
B. 22
C. 26
D. 52
Answer» C. 26
Discussion
680.

If the diameter of a circle is 28 cm, then what will be its circumference (in cm)?_x005F_x000D_

A. 88
B. 176
C. 35
D. 70
Answer» B. 176
Discussion
681.

If the diagonals of a rhombus are 24cm and 10cm the area and the perimeter of the rhombus are respectively.

A. 10
B. 11
C. 12
D. 13
Answer» E.
Discussion
682.

If the circumference of a circle is 44 cm, then what must be its area (in cm²)?

A. 308
B. 240
C. 154
D. 480
Answer» D. 480
Discussion
683.

If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.

A. 110
B. 120
C. 130
D. 140
Answer» C. 130
Discussion
684.

If the cost of 17 m of cloth is Rs. 77 5/7, find its cost per meter in Rs.?

A. 4.5714285714286
B. 7.7142857142857
C. 5.7142857142857
D. 4.7142857142857
Answer» B. 7.7142857142857
Discussion
685.

If the circumference of a circle is 22 cm, then what must be its area (in cm²)?_x005F_x000D_

A. 77
B. 38.5
C. 31.5
D. 63
Answer» C. 31.5
Discussion
686.

If the circumference of a circle is 22 cm, find the area of the semicircle._x005F_x000D_

A. 38.5 sq.cm
B. 19.25 sq.cm
C. 44 sq.cm
D. 77 sq.cm
Answer» C. 44 sq.cm
Discussion
687.

If the area of a square with side a s equal to the area of a triangle with base a, then the altitude of the triangle is

A. a
B. 2a
C. 5a
D. 3a
Answer» C. 5a
Discussion
688.

If the area of a semi-circle is 308 cm2, then find its radius (in cm)._x005F_x000D_

A. 28
B. 10
C. 20
D. 14
Answer» E.
Discussion
689.

If the area of a semi-circle is 693 cm2, then find its radius (in cm)._x005F_x000D_

A. 42
B. 27
C. 21
D. 54
Answer» D. 54
Discussion
690.

If the area of a semi-circle is 1925 sq.cm, then find its radius (in cm)._x005F_x000D_

A. 70
B. 31
C. 62
D. 35
Answer» E.
Discussion
691.

If the area of a circle is 9Ï€ sq.cm then its circumference is

A. 9 cm
B. 6Ï€ cm
C. 3Ï€ cm
D. 6 cm
Answer» C. 3Ï€ cm
Discussion
692.

If the angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the largest angle.

A. 36 deg
B. 96 deg
C. 84 deg
D. 60 deg
Answer» C. 84 deg
Discussion
693.

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 110 deg then the angle POA is

A. 50 deg
B. 70 deg
C. 35 deg
D. 45 deg
Answer» D. 45 deg
Discussion
694.

If the ∠ABC and ∠ACB of triangle ABC is 80 deg and 60 deg respectively. If the Incenter of the triangle is at point ‘I’ then calculate angle BIC._x005F_x000D_

A. 55 deg
B. 88 deg
C. 110 deg
D. 120 deg
Answer» D. 120 deg
Discussion
695.

If O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is

A. 100°
B. 180°
C. 80°
D. 200°
Answer» D. 200°
Discussion
696.

If S is the midpoint of a straight line PQ and R is a point different from S, such that PR =RQ, then _x005F_x000D_

A. ∠PRS = 90°
B. ∠QRS = 90°
C. ∠PSR = 90°
D. ∠QSR = 90°
Answer» D. ∠QSR = 90°
Discussion
697.

If side of a square is increased by 60%, then what will be the percentage increase in its area?_x005F_x000D_  _x005F_x000D_

A. 156
B. 120
C. 126
D. 132
Answer» B. 120
Discussion
698.

If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) of QS?

A. 4√5
B. 6
C. 8
D. 12
Answer» D. 12
Discussion
699.

If each side of a square is increased by 25%, find the percentage change in its area.

A. 0.5625
B. 0.3625
C. 0.1625
D. 0.1225
Answer» B. 0.3625
Discussion
700.

If ABCDEF is a regular hexagon, then what is the value (in degrees) of ∠ADB?

A. 15
B. 30
C. 45
D. 60
Answer» C. 45
Discussion