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.

601.

In ΔXYZ measure of angle Y is 90 deg. If tanX = 15/8, and XY = 16cm, then what is the length (in cm) of side YZ?_x005F_x000D_

A. 34
B. 30
C. 15
D. 14
Answer» C. 15
Discussion
602.

In ΔXYZ measure of angle Y is 90°. If cosecX = 17/15, and XY = 4cm, then what is the length (in cm) of side YZ?

A. 7.5
B. 8.5
C. 5
D. 6
Answer» B. 8.5
Discussion
603.

In ΔPQR measure of angle Q is 90 deg. If cotP = 8/15, and PQ = 4cm, then what is the length (in cm) of side PR?_x005F_x000D_

A. 8.5_x005F_x000D_
B. 7.5_x005F_x000D_
C. 5_x005F_x000D_
D. 4
Answer» B. 7.5_x005F_x000D_
Discussion
604.

In ΔDEF measure of angle E is 90 deg. If cotD = 8/15, and DE = 16cm, then what is the length (in cm) of side EF?_x005F_x000D_

A. 34_x005F_x000D_
B. 15_x005F_x000D_
C. 30_x005F_x000D_
D. 14
Answer» D. 14
Discussion
605.

In ΔDEF measure of angle E is 90 deg. If cotD = 8/15, and DE = 16cm, then what is the length (in cm) of side EF?_x005F_x000D_  _x005F_x000D_

A. 34_x005F_x000D_
B. 15_x005F_x000D_
C. 30_x005F_x000D_
D. 14
Answer» D. 14
Discussion
606.

In ΔDEF measure of angle E is 90°. If cosD = 8/17, and DE = 16cm, then what is the length (in cm) of side DF?_x005F_x000D_

A. 30
B. 20
C. 26
D. 34
Answer» E.
Discussion
607.

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

A. 4.8 cm
B. 9.8 cm
C. 7.8 cm
D. 7.2 cm
Answer» E.
Discussion
608.

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?

A. 6 cm
B. 18 cm
C. 9 cm
D. 15 cm
Answer» C. 9 cm
Discussion
609.

In Δ ABC, the median AD is 8 cm and CB is 16 cm, measure of angle CAB is_____ .

A. 90°
B. 30°
C. 60°
D. 120°
Answer» B. 30°
Discussion
610.

In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is

A. 80°
B. 40°
C. 90°
D. 50°
Answer» D. 50°
Discussion
611.

In Δ ABC, the median AD is 7 cm and CB is 14 cm, measure of ∠CAB is

A. 30°
B. 60°
C. 90°
D. 120°
Answer» D. 120°
Discussion
612.

In a triangle ABC, if AB = BC and the measure of angle C is , 75°then the measure of angle B is:_x005F_x000D_

A. 30°
B. 60°
C. 75°
D. 52.5°
Answer» B. 60°
Discussion
613.

In Δ ABC, the median AD is 6 cm and CB is 12 cm, measure of angle CAB is

A. 90°
B. 30°
C. 60°
D. 120°
Answer» B. 30°
Discussion
614.

In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is

A. 30√5 : 100
B. 32√5 : 100
C. 36√5 : 100
D. 42√5 : 100
Answer» D. 42√5 : 100
Discussion
615.

In an equilateral triangle of side 24 cms, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is equal to

A. 36.6 sq. cm
B. 54.2 sq. cm
C. 72.8 sq. cm
D. 98.5 sq. cm
Answer» E.
Discussion
616.

In an old Palace there are 50 stairs to go on top floor. Each is 20 cm high, 30 cm wide and 60 cm long. If all the stairs are re-plastered at the rate of Rs. 4 per 100 sq.cm. What is the expenditure ?

A. Rs. 4680
B. Rs. 7600
C. Rs. 6000
D. Rs. 5480
Answer» D. Rs. 5480
Discussion
617.

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

A. 2√2 cm
B. 3√2 cm
C. 2√3 cm
D. 3√3 cm
Answer» D. 3√3 cm
Discussion
618.

In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course

A. 32
B. 42
C. 62
D. 92
Answer» E.
Discussion
619.

In a triangle the length of the side opposite the right angle is 9√3 cm, what is the length of the side opposite to the angle which measures 30 degree?

A. 9 cm
B. 3√3 cm
C. 6 cm
D. (9√3)/2 cm
Answer» E.
Discussion
620.

In a triangle the length of the side opposite the angle which measures 30 degree is 12 cm, what is the length of the side opposite to the angle which measures 60 degree?

A. 9 cm
B. 12√3 cm
C. (15√3)/2 cm
D. (9√3)/2 cm
Answer» C. (15√3)/2 cm
Discussion
621.

In a triangle, the distance of the centroid from the three vertices is 4cm, 6cm and 8cm respectively. Then the length of the smallest median is:

A. 8
B. 7
C. 6
D. 5
Answer» D. 5
Discussion
622.

In a triangle ABC, the length of in-radius and circum-radius is 2 units and 6 units respectively. Find the distance (in units) between the in-centre and circum-centre._x005F_x000D_

A. √3
B. 2√3
C. 3√3
D. 4√3
Answer» C. 3√3
Discussion
623.

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

A. 9
B. 4
C. 8
D. 6
Answer» C. 8
Discussion
624.

In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?

A. 6.3
B. 5.8
C. 6
D. 7
Answer» E.
Discussion
625.

In a triangle ABC, DE is parallel to BC; AD = a, DB = a + 4, AE = 2a + 3, EC = 7a. What is the value of 'a’ if a>0 ?_x005F_x000D_

A. 5
B. 6
C. 3
D. 4
Answer» D. 4
Discussion
626.

In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 sq.cm, then AB is

A. 1 cm
B. 3 cm
C. 2 cm
D. 8 cm
Answer» D. 8 cm
Discussion
627.

In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

A. 10
B. 5
C. 18
D. 14
Answer» B. 5
Discussion
628.

In a trapezium ABCD, AB and DC are parallel sides and ∠ ADC = 90°. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trapezium ABCD is

A. 245 cm2
B. 240 cm2
C. 247.5 cm2
D. 250 cm2
Answer» D. 250 cm2
Discussion
629.

In a Rhombus ABCD, measure of angle CAB is 25°, what is the measure of angle ABC?

A. 65°
B. 50°
C. 40°
D. 130°
Answer» E.
Discussion
630.

In a square park having a side of 23 m two 3 m wide paths run through the centre of the park. What will be the total cost of gravelling the path at the rate of Rs. 1/dm2 ?_x005F_x000D_

A. Rs. 129
B. Rs. 13,800
C. Rs. 12,900
D. Rs. 138
Answer» D. Rs. 138
Discussion
631.

In a rhombus _____.

A. Diagonals are equal and perpendicular
B. Consecutive angles are equal
C. Consecutive angles are supplementary
D. Adjacent sides are not equal
Answer» D. Adjacent sides are not equal
Discussion
632.

In a rectangle _____.

A. Diagonals are perpendicular to each other
B. Diagonals are not equal
C. Diagonals bisect each other
D. Diagonals bisect opposite angles
Answer» D. Diagonals bisect opposite angles
Discussion
633.

In a Kite _____.

A. One diagonal bisects the other
B. Both diagonals form two congruent triangles
C. Adjacent angles are supplementary
D. Opposite sides are parallel
Answer» B. Both diagonals form two congruent triangles
Discussion
634.

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A. 40/3%
B. 0.2
C. 0.25
D. 0.27
Answer» D. 0.27
Discussion
635.

In a circle, chords PQ and TS are produced to meet at R. If RQ = 14.4 cm, PQ = 11.2 cm, and SR = 12.8 cm, then the length of chord TS is:_x005F_x000D_

A. 16 cm
B. 14.2 cm
C. 18 cm
D. 12.4 cm
Answer» B. 14.2 cm
Discussion
636.

In a circle, AB is a the diameter and CD is a chord. AB and CD produced meet at a point P, outside the circle. If PD = 15.3 cm, CD =11.9 cm and AP = 30.6 cm, then the radius of the circle is is:_x005F_x000D_  _x005F_x000D_

A. 8 cm
B. 8.5 cm
C. 9cm
D. 7.5 cm
Answer» C. 9cm
Discussion
637.

If the two sides of obtuse angled triangle are 8 cm and 15 cm and the third side is x then,

A. 7 < x < 23
B. 7 < x < √161
C. 17 < x < 21
D. Cannot be determined
Answer» C. 17 < x < 21
Discussion
638.

If two complimentary angles are in the ratio of 11 : 7, find the smaller angle.

A. 35 deg
B. 55 deg
C. 45 deg
D. 25 deg
Answer» B. 55 deg
Discussion
639.

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

A. 2√13 cm
B. 5√3 cm
C. 4√6 cm
D. 6√5 cm
Answer» D. 6√5 cm
Discussion
640.

If the two sides of an acute angled triangle is 8 cm and 15 cm and the length of the third side is x, then_x005F_x000D_

A. 13<x<17
B. 7<x<1
C. √161<x<17
D. 7<x<23
Answer» D. 7<x<23
Discussion
641.

If the supplement of an angle is (5/2) of its complement, then find the angle._x005F_x000D_

A. 100
B. 150
C. 200
D. 300
Answer» E.
Discussion
642.

If the sum of the measures of all the interior angles of polygon is 2340°. What is the number of sides of the polygon?

A. 13
B. 15
C. 17
D. 11
Answer» C. 17
Discussion
643.

If the two circles touch each other internally, then only _______________ common tangent can be drawn to them._x005F_x000D_

A. 0
B. 1
C. 2
D. 3
Answer» C. 2
Discussion
644.

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

A. 108 sq.cm
B. 112 sq.cm
C. 116 sq.cm
D. 120 sq.cm
Answer» E.
Discussion
645.

If the side of a square is increased by 20%, then what will be the percentage increase in its perimeter?_x005F_x000D_

A. 20
B. 40
C. 100
D. 50
Answer» B. 40
Discussion
646.

If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.

A. 40 units
B. 30 units
C. 13 units
D. 24 units
Answer» E.
Discussion
647.

If the ratio of two squares is 225:256,then the ratio of the perimeters is

A. 1.0527777777778
B. 0.63611111111111
C. 0.67708333333333
D. 0.71944444444444
Answer» C. 0.67708333333333
Discussion
648.

If the radius (r) of a circle is increased by 'x' units, what is the number of units by which the circumstance of the circle is increased?_x005F_x000D_  _x005F_x000D_

A. π
B. 2Ï€
C. 2Ï€r
D. 2Ï€x
Answer» E.
Discussion
649.

If the radius of a circumscribed circle in an equilateral triangle is 14 cm. Then what will be the radius (in cm) of the inscribed circle?

A. 7
B. 14
C. 28
D. 35
Answer» B. 14
Discussion
650.

If the radius of a circle is increased by 29% its area increases by

A. 58 percent
B. 29 percent
C. 33.205 percent
D. 66.41 percent
Answer» E.
Discussion