Explore topic-wise MCQs in Arithmetic Ability.

This section includes 804 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

401.

If an interior of a regular polygon is 170o, then the number of sides of the polygon is

A. 30
B. 20
C. 18
D. 27
Answer» B. 20
Discussion
402.

If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

A. 2√2
B. 3√2
C. 2√3
D. 3√3
Answer» D. 3√3
Discussion
403.

If curved surface area of a cylinder is 1320 sq cm and height is 10 cm, find its radius?

A. 21 cm
B. 42 cm
C. 63 cm
D. 10.5 cm
Answer» B. 42 cm
Discussion
404.

If ax - 4y = -6 has a slope of -3/2. What is the value of a?

A. 6
B. 3
C. -6
D. -3
Answer» D. -3
Discussion
405.

If any two sides of a triangle are divided by the line in the same ratio, then the line must be _________________ to the third side of the triangle.

A. equal
B. parallel
C. perpendicular
D. non parallel
Answer» C. perpendicular
Discussion
406.

If curved surface area of a cylinder is 616 sq cm and height is 14 cm, find its radius?

A. 14 cm
B. 7 cm
C. 21 cm
D. 3.5 cm
Answer» C. 21 cm
Discussion
407.

If curved surface area of a cylinder is 1386 sq cm and height is 21 cm, what will be its radius? (Take π = 22/7)

A. 21 cms
B. 5.25 cms
C. 10.5 cms
D. 15.75 cms
Answer» D. 15.75 cms
Discussion
408.

If ΔABC is an equilateral triangle of side 16 cm, then the length of altitude is

A. 2√3 cm
B. 4√3 cm
C. 8√3 cm
D. 5√3 cm
Answer» D. 5√3 cm
Discussion
409.

If DE is parallel to BC and bisects the other two sides of the triangle ABC such that the ratio AD/DB = 5/13 and the length of the part EC is 26 cm. Then determine the length of AE (in cm).

A. 5
B. 10
C. 15
D. 20
Answer» C. 15
Discussion
410.

If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

A. 1.25
B. 1.5
C. 1.75
D. 1.1
Answer» B. 1.5
Discussion
411.

If in ΔABC, DE ||BC, AB = 7.5cm, BD = 6cm and DE = 2cm, then the length of BC in cm is

A. 6
B. 8
C. 10
D. 10.5
Answer» D. 10.5
Discussion
412.

If in-radius of an equilateral triangle is 3 cm. Calculate the perimeter (in m) of the equilateral triangle._x005F_x000D_

A. 6√3
B. 3√3
C. 12√3
D. 18√3
Answer» E.
Discussion
413.

If O is the centre of a circle of radius 5 cm. At a distance of 13 cm from O, a point P is taken. From this point, two tangents PQ and PR are drawn to the circle. Then , the area of quadrilateral PQOR is

A. 60 cm2
B. 32.5 cm2
C. 65 cm2
D. 30 cm2
Answer» B. 32.5 cm2
Discussion
414.

If PQ and PR be the two tangents to a circle with centre O such that ∠QPR = 120° then ∠POQ is

A. 90°
B. 45°
C. 30°
D. 60°
Answer» D. 60°
Discussion
415.

If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?

A. 0.41
B. 0.38
C. 0.33
D. 0.44
Answer» C. 0.33
Discussion
416.

If the area of three Adjacent faces of a cuboidal box are 120 cm², 72 cm², and 60 cm² respectively, then the volume of the box is

A. 640 cub.cm
B. 720 cub.cm
C. 860 cub.cm
D. 945 cub.cm
Answer» C. 860 cub.cm
Discussion
417.

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

A. 36 deg
B. 18 deg
C. 12 deg
D. 24 deg
Answer» E.
Discussion
418.

If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

A. 0.21319444444444
B. 1.0756944444444
C. √5 : √7
D. 125 : 343
Answer» D. 125 : 343
Discussion
419.

If the circum radius of the equilateral triangle is 12 cm then what is the value of in radius (in cm) of the triangle?

A. 3
B. 6
C. 8
D. 10
Answer» C. 8
Discussion
420.

If the curved surface area of a right circular cone is 10010 sq cm and its radius is 35 cm, find its volume?

A. 6930 cubic cm
B. 13860 cubic cm
C. 3465 cubic cm
D. 27720 cubic cm
Answer» C. 3465 cubic cm
Discussion
421.

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

A. 27720 sq cm
B. 4620 sq cm
C. 6930 sq cm
D. 13860 sq cm
Answer» E.
Discussion
422.

If the base of a pyramid is a square of 6cm side and its slant height is 5cm. Find its slant surface area.

A. 50 sq.cm
B. 30 sq.cm
C. 60 sq.cm
D. 40 sq.cm
Answer» D. 40 sq.cm
Discussion
423.

If the curved surface area of a right circular cone is 3080 sq cm and its slant height is 35 cm, find its total surface area?

A. 11088 sq cm
B. 1848 sq cm
C. 5544 sq cm
D. 2772 sq cm
Answer» D. 2772 sq cm
Discussion
424.

If the diameter of a circle is 35 cm, then what will be its circumference (in cm)?

A. 110
B. 220
C. 21
D. 42
Answer» B. 220
Discussion
425.

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

A. 37°
B. 41°
C. 42°
D. 49°
Answer» C. 42°
Discussion
426.

If the diameter of a hemisphere is 21 cm, then what is the volume (in cub.cm) of hemisphere?

A. 2810
B. 1250.5
C. 1725.25
D. 2425.5
Answer» E.
Discussion
427.

If the edge of a cube is increased by 2 cm, the volume will increase by 488 cub.cm. What then will be the length of each edge of the cube?

A. 6 cm
B. 8 cm
C. 9 cm
D. 7 cm
Answer» C. 9 cm
Discussion
428.

If the in radius of the equilateral triangle is 8 cm then what is the value of circum radius (in cm) of the triangle?

A. 8
B. 16
C. 18
D. 20
Answer» C. 18
Discussion
429.

If the edge of a cube is increased by 4 cm, the volume will increase by 988 . Then the original length of each edge of the cube is_x005F_x000D_

A. 7 cm
B. 6 cm
C. 9 cm
D. 8 cm
Answer» B. 6 cm
Discussion
430.

If the lengths of the two parallel sides of a trapezium are 7 cm and 9 cm and its area is 80 cm2. Find the distance between its parallel sides (in cm).

A. 5
B. 10
C. 20
D. 15
Answer» C. 20
Discussion
431.

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is

A. 1
B. ∏/2
C. ∏/3
D. ∏/4
Answer» D. ∏/4
Discussion
432.

If the edge of a cube is increased by 3 cm, the volume will increase by 657 cub.cm. What then is the original length of each edge of the cube?

A. 9 cm
B. 6 cm
C. 8 cm
D. 7 cm
Answer» C. 8 cm
Discussion
433.

If the lengths of the two parallel sides of a trapezium are 8 cm and 10 cm and its area is 54 cm². Find the distance between its parallel sides (in cm).

A. 6
B. 3
C. 12
D. 9
Answer» B. 3
Discussion
434.

If the measure of the exterior angle of a regular polygon is 72 deg then how many sides does it have?_x005F_x000D_

A. 6
B. 8
C. 9
D. 5
Answer» E.
Discussion
435.

If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords?

A. 1 cm or 7 cm
B. 2 cm or 14 cm
C. 3 cm or 21 cm
D. 4 cm or 28 cm
Answer» C. 3 cm or 21 cm
Discussion
436.

If the measure of the interior angle of a regular polygon is 100 deg greater than the measure of its exterior angle then how many sides does it have?_x005F_x000D_

A. 10
B. 12
C. 9
D. 15
Answer» D. 15
Discussion
437.

If the measure of the interior angle of a regular polygon is 90 deg greater than the measure of its exterior angle, then how many sides does it have ?_x005F_x000D_

A. 8
B. 9
C. 10
D. 12
Answer» B. 9
Discussion
438.

If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume

A. 0.335
B. 0.331
C. 0.321
D. 0.531
Answer» C. 0.321
Discussion
439.

If the radius of the cylinder is decreased by 20%, then by how much percent the height must be increased, so that the volume of the cylinder remains same?

A. 20
B. 36.25
C. 56.25
D. 65
Answer» D. 65
Discussion
440.

If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.

A. 2√3
B. 3√3
C. 4√3
D. 9√3
Answer» D. 9√3
Discussion
441.

If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same?

A. 36
B. 56
C. 64
D. 46
Answer» B. 56
Discussion
442.

If the side of the equilateral triangle is 6√3 cm, then what is length (in cm) of the circum radius of that triangle?_x005F_x000D_

A. 4
B. 6
C. 8
D. 12
Answer» C. 8
Discussion
443.

If the side of the equilateral triangle is 8√3 cm, then what is the length (in cm) of the in radius of the triangle?

A. 2
B. 4
C. 8√3
D. 16√3
Answer» C. 8√3
Discussion
444.

If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm then its volume is

A. 1760 cm3
B. 8800 cm3
C. 2002 cm3
D. 4804 cm3
Answer» D. 4804 cm3
Discussion
445.

If the volume of a cylinder is 385 cubic cm and height is 10 cm, find its radius?

A. 7 cm
B. 10.5 cm
C. 3.5 cm
D. 1.75 cm
Answer» D. 1.75 cm
Discussion
446.

If the volume of a cylinder is 3850 cubic cm and height is 25 cm, what is its radius? (Take π = 22/7)

A. 7 cms
B. 14 cms
C. 10 cms
D. 3.5 cms
Answer» B. 14 cms
Discussion
447.

If the sum of the interior angles of a regular polygon is 1260 deg , then how many sides does it have?

A. 10
B. 12
C. 15
D. 9
Answer» E.
Discussion
448.

If the sum of the measures of all the interior angles of polygon is 1800°, find the number of sides of the polygon?

A. 12
B. 14
C. 16
D. 8
Answer» B. 14
Discussion
449.

If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?

A. 0
B. 5
C. 4
D. 7
Answer» E.
Discussion
450.

If the volumes of two right circular cones are in the ratio 1:4 and their diameters of bases in the ratio 4:5, then their heights will be in the ratio:

A. 0.045138888888889
B. 0.18402777777778
C. 0.68402777777778
D. 25:64
Answer» E.
Discussion