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.

501.

In the given figure, if AD = 12 cm, AE = 8 cm and EC = 14 cm, then what is the value of BD in cm?_x005F_x000D_

A. 50/3
B. 15
C. 44263
D. 44/3
Answer» D. 44/3
Discussion
502.

In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an  equilateral triangle. What is the value in deg of EBZ?_x005F_x000D_

A. 102
B. 98
C. 78
D. 64
Answer» B. 98
Discussion
503.

In the given figure, AP = 3cm, AR = 6cm and RS = 9cm, then what is the value (in cm) of PQ?_x005F_x000D_

A. 9
B. 12
C. 18
D. 27
Answer» E.
Discussion
504.

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?_x005F_x000D_

A. 0.042361111111111
B. 0.044444444444444
C. 0.085416666666667
D. Unknown
Answer» E.
Discussion
505.

In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ?_x005F_x000D_

A. 21.4
B. 22.5
C. 23.8
D. 24.5
Answer» C. 23.8
Discussion
506.

In the given figure, P  is the center of the circle. If QS = PR, then what is the ratio of angles RSP to the TPR ?_x005F_x000D_

A. 0.044444444444444
B. 0.086805555555556
C. 0.04375
D. 0.088194444444444
Answer» D. 0.088194444444444
Discussion
507.

In the given figure, PQ = 30, RS = 24 and OM = 12, then what is the value of ON?_x005F_x000D_

A. 9
B. 12
C. 15
D. 18
Answer» D. 18
Discussion
508.

In the given figure, MNOP is a square of side 6 cm. What is the value ( in cm ) of radius of circle?_x005F_x000D_

A. 4.25
B. 3.75
C. 3.5
D. 4.55
Answer» C. 3.5
Discussion
509.

In the given figure, PQ is the diameter of the circle. What is the measure (in degrees) of QSR?_x005F_x000D_

A. 23
B. 37
C. 47
D. 57
Answer» D. 57
Discussion
510.

In the given figure, PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?_x005F_x000D_

A. 35.33
B. 37.33
C. 41.33
D. 43.33
Answer» C. 41.33
Discussion
511.

In the given figure,PQ = PS = SR and QPS = 40 deg, then what is the value of QPR (in deg) ?_x005F_x000D_

A. 45
B. 60
C. 75
D. 50
Answer» D. 50
Discussion
512.

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in sq.cm) of the shaded region?_x005F_x000D_

A. 10√3
B. 12√3
C. 9√3
D. 14√3
Answer» C. 9√3
Discussion
513.

In the given figure, PQRS is a square and SRT is an equilateral triangle. What is the value (in degrees) of angle SOR?_x005F_x000D_

A. 45
B. 55
C. 60
D. 75
Answer» E.
Discussion
514.

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?_x005F_x000D_

A. 5√10
B. 4√10
C. 8√5
D. 16√2
Answer» B. 4√10
Discussion
515.

In the given figure, radius of a circle is 14√2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are 4 identical squares. What is the total area (in sq.cm) of all the small squares ?_x005F_x000D_

A. 31.36
B. 125.44
C. 62.72
D. 156.8
Answer» B. 125.44
Discussion
516.

In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?

A. 0.042361111111111
B. 0.084027777777778
C. 0.12569444444444
D. 0.16736111111111
Answer» C. 0.12569444444444
Discussion
517.

In the given figure, the length of arc BC of the given circle is 44 cm. If O is the centre of circle, then what is the radius (in cm) of the circle?_x005F_x000D_

A. 7
B. 14
C. 28
D. 35
Answer» D. 35
Discussion
518.

In the two triangles ABC and DEF the sides AB = DE and BC = EF. Which of the following option is correct which results in the ∆ABC ≅∆DEF?_x005F_x000D_  _x005F_x000D_

A. 1
B. 2
C. 3
D. 4
Answer» E.
Discussion
519.

In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 sq.cm. What is the area (in sq.cm) of triangle FGE?

A. 13
B. 26
C. 39
D. 52
Answer» B. 26
Discussion
520.

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

A. 15
B. 30
C. 45
D. 60
Answer» C. 45
Discussion
521.

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

A. 30
B. 36
C. 45
D. 60
Answer» B. 36
Discussion
522.

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?

A. 30
B. 45
C. 50
D. 60
Answer» D. 60
Discussion
523.

In triangle ABC, BAC = 90 deg and AD is perpendicular to BC. If AD = 6cm and BD = 4cm, then the length of BC is

A. 10 cm
B. 12 cm
C. 13 cm
D. 15 cm
Answer» D. 15 cm
Discussion
524.

In triangle ABC measure of angle B is 90 deg. If sinA = 24/25, and AB = 1.4cm, then what is the length (in cm) of side BC.

A. 4.8
B. 5
C. 3
D. 5.6
Answer» B. 5
Discussion
525.

In triangle ABC, O is the orthocenter and angle BOC is 120 deg. Calculate angle BAC._x005F_x000D_

A. 30 deg
B. 40 deg
C. 60 deg
D. 80 deg
Answer» D. 80 deg
Discussion
526.

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

A. 50
B. 60
C. 80
D. 100
Answer» D. 100
Discussion
527.

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

A. 60
B. 100
C. 105
D. 115
Answer» B. 100
Discussion
528.

In which of the following quadrilaterals only one pair of opposite angles is supplementary?

A. Isosceles Trapezium
B. Parallelogram
C. Cyclic quadrilateral
D. Rectangle
Answer» D. Rectangle
Discussion
529.

Incentre of Δ ABC is I. ∠ABC = 90° and ∠ACB = 70°. ∠AIC is

A. 115°
B. 100°
C. 110°
D. 105°
Answer» D. 105°
Discussion
530.

Number of circles that can be drawn through three non-colinear points is

A. exactly one
B. two
C. three
D. more than three
Answer» B. two
Discussion
531.

In which of the following quadrilaterals opposite angles are supplementary?

A. Rhombus
B. Parallelogram
C. Trapezium
D. Cyclic quadrilateral
Answer» E.
Discussion
532.

O is the circumcentre of ΔABC. If AO = 8 cm, then the length of BO is

A. 12 cm
B. 3 cm
C. 6 cm
D. 8 cm
Answer» E.
Discussion
533.

O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB?

A. 60
B. 80
C. 90
D. 100
Answer» C. 90
Discussion
534.

O is the centre of the circle and ∠AOB = 150°, and the shaded portion is x part of the circular region, then x = ?_x005F_x000D_

A. 44531
B. 44440
C. 44348
D. 44287
Answer» D. 44287
Discussion
535.

O is an centre of a circle. P is an external point of it at distance of 13cm from O. The radius of the circle is 5cm. Then the length of a tangent to the circle from P upto the point of contact is

A. √194cm
B. 10cm
C. 12cm
D. 8cm
Answer» D. 8cm
Discussion
536.

O is the centre of a circle and AB is the tangent to it touching at B . If OB = 3 cm. and OA = 5 cm , then the measure of AB in cm

A. √34
B. 2
C. 8
D. 4
Answer» E.
Discussion
537.

Point A divides segment BC in the ratio 5:1. Co-ordinates of B are (6 ,-4) and C are (0,8). What are the co-ordinates of point A?

A. (-1 , 6)
B. (1 , -6)
C. (-1 , -6)
D. (1 , 6)
Answer» E.
Discussion
538.

One internal angle of a rhombus of side 12 cm is 120°. What is the length of its longer diagonal?

A. 6√3 cm
B. 12√2 cm
C. 6√2 cm
D. 12√3 cm
Answer» E.
Discussion
539.

Point A (2, 1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?

A. 8
B. -7
C. -8
D. 7
Answer» E.
Discussion
540.

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

A. 24
B. 20
C. 26
D. 34
Answer» C. 26
Discussion
541.

Possible measures of three angles of a triangle are

A. 33°, 42°, 115°
B. 40°, 70°, 80°
C. 30°, 60°, 100°
D. 50°, 60°, 70°
Answer» E.
Discussion
542.

Possible length of the three sides of a triangle are :­

A. 2 cm , 3 cm , 6 cm
B. 3 cm , 4 cm , 5 cm
C. 2.5 cm , 3.5 cm , 6 cm
D. 4 cm , 4 cm , 9 cm
Answer» C. 2.5 cm , 3.5 cm , 6 cm
Discussion
543.

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

A. 60 sq cm
B. 16 sq cm
C. 96 sq cm
D. 21 sq cm
Answer» D. 21 sq cm
Discussion
544.

Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?

A. -11
B. 11
C. 7
D. -7
Answer» C. 7
Discussion
545.

Points P , Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60° . Then the subtended angle by arc QR at the centre is

A. 80°
B. 120°
C. 140°
D. 160°
Answer» E.
Discussion
546.

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?

A. 55
B. 60
C. 70
D. 90
Answer» D. 90
Discussion
547.

PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ∠QSR = 30°, then what is the value (in degrees)of POR?

A. 30
B. 45
C. 60
D. 90
Answer» E.
Discussion
548.

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

A. 3 cm
B. 4 cm
C. 5 cm
D. 2 cm
Answer» C. 5 cm
Discussion
549.

PQR is a right angled triangle in which ∠R = 90°. If RS ⊥ PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?

A. 44328
B. 36/5
C. 5
D. 2.5
Answer» B. 36/5
Discussion
550.

PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is

A. 3 cm
B. 6 cm
C. 12 cm
D. 4.5 cm
Answer» C. 12 cm
Discussion