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.

451.

If triangle ABC = triangle XYZ and angle BAC = 55 deg, then angle ZXY = ?

A. 67.5 deg
B. 135 deg
C. 65 deg
D. 55 deg
Answer» E.
Discussion
452.

In a circle, a chord, 5√2 cm long, makes a right angle at the centre. Then the length of the radius of the circle will be

A. 2.5 cm
B. 5 cm
C. 7.5 cm
D. 10 cm
Answer» C. 7.5 cm
Discussion
453.

In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.

A. 16 cm
B. 12 cm
C. 14 cm
D. 10 cm
Answer» D. 10 cm
Discussion
454.

In a circle of radius 8 cm, AB and AC are two chords such that AB = AC = 12 cm. What is the length of chord BC?

A. 2√6 cm
B. 3√6 cm
C. 3√7 cm
D. 6√7 cm
Answer» E.
Discussion
455.

In a cyclic quadrilateral ABCD ∠BCD=120° and passes through the centre of the circle. Then ∠ABD = ?

A. 30°
B. 40°
C. 50°
D. 60°
Answer» B. 40°
Discussion
456.

In a cyclic quadrilateral ABCD , the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47° , then the value of ∠BDC is

A. 40°
B. 35°
C. 30°
D. 25°
Answer» C. 30°
Discussion
457.

In a flask of volume 'V' litres, 0.2 moles of . 0.4 moles of , 0.1 moles of and 0.3 moles of gases are present at 27 °C. If the total pressure exerted by these non-reacting gases is 1 atm, the partial pressure exerted by gas is:_x005F_x000D_

A. 0.3 atm
B. 0.1 atm
C. 0.1 atm
D. 0.4 atm
Answer» E.
Discussion
458.

In a rectangle

A. Diagonals bisect opposite angles
B. Consecutive sides are congruent
C. All sides are congruent
D. Diagonals form two congruent triangles
Answer» E.
Discussion
459.

In a right angled triangle ΔDEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is

A. 3 cm
B. 4 cm
C. 6 cm
D. 12 cm
Answer» D. 12 cm
Discussion
460.

In a right angled triangle if hypotenuse is 20 cm and ratio of other two sides is 4:3, the length of the sides are

A. 4 cm and 3 cm
B. 8 cm and 6 cm
C. 12 cm and 9 cm
D. 16 cm and 12 cm
Answer» E.
Discussion
461.

In a Rhombus ABCD, measure of angle CAB is 30°, what is the measure of angle ABC?

A. 60°
B. 120°
C. 90°
D. 150°
Answer» C. 90°
Discussion
462.

In a right angled triangle, the hypotenuse is 4 cm longer than the perpendicular which is 4 cm longer than the base. Calculate the length of hypotenuse.

A. 12 Cm
B. 10 Cm
C. 20 Cm
D. 15 Cm
Answer» D. 15 Cm
Discussion
463.

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?

A. 150
B. 200
C. 210
D. 240
Answer» B. 200
Discussion
464.

In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be

A. 150°
B. 120°
C. 100°
D. 90°
Answer» C. 100°
Discussion
465.

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are

A. 15, 130
B. 15, 125
C. 35, 40
D. 30, 150
Answer» C. 35, 40
Discussion
466.

In a triangle ABC, right angled at B, BC = 15 cm and AB = 8 cm. A circle is inscribed in triangle ABC. Then the radius of the circle is :

A. 3 cm
B. 2 cm
C. 4 cm
D. 1 cm
Answer» B. 2 cm
Discussion
467.

In a triangle, one of the angles is three times the smallest and another is two times the smallest angle. Calculate the smallest angle._x005F_x000D_

A. 60°
B. 30°_x005F_x000D_
C. 90°
D. 45°
Answer» C. 90°
Discussion
468.

In a triangle the length of the side opposite the angle which measures 30 degree is 9√3 cm, what is the length of the side opposite to the angle which measures 60 degree?

A. 27 cm
B. 9 cm
C. 12√3 cm
D. (15√3)/2 cm
Answer» B. 9 cm
Discussion
469.

In a triangle PQR, S and T are the points on PQ and PR respectively, such that ST II QR and PS/SQ=3/5,PR =6cm, then PT is

A. 2 cm
B. 2.25 cm
C. 3.5 cm
D. 4 cm
Answer» C. 3.5 cm
Discussion
470.

In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?

A. 3√3 cm
B. 3/2 cm
C. 9/2 cm
D. 9√3 cm
Answer» E.
Discussion
471.

In a triangle, the length of the side opposite the angle which measures 45° is 16 cm, what is the length of the side opposite to the angle which measures 90°?

A. 8√3 cm
B. 16√2 cm
C. 8 cm
D. 16√3 cm
Answer» C. 8 cm
Discussion
472.

In a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?

A. 8√2 cm
B. 4√2 cm
C. 8√3 cm
D. 4√3 cm
Answer» B. 4√2 cm
Discussion
473.

In a triangle the length of the side opposite the angle which measures 60° is 15 cm, what is the length of the side opposite to the angle which measures 90°?

A. 15 cm
B. (15√3)/2 cm
C. 10√3 cm
D. 10 cm
Answer» D. 10 cm
Discussion
474.

In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°?

A. 12√3 cm
B. 6 cm
C. 12 cm
D. 3√3 cm
Answer» D. 3√3 cm
Discussion
475.

In a triangle the length of the side opposite the right angle is 6 cm, what is the length of the side opposite to the angle which measures 30°?

A. 3 cm
B. 3√3 cm
C. 3/2 cm
D. (3/2)√3 cm
Answer» B. 3√3 cm
Discussion
476.

In an isosceles ΔABC, AD is the median to the unequal side meeting BC at D. DP is the angle disector of ∠ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of ∠PDQ is

A. 130°
B. 90°
C. 180°
D. 45°
Answer» C. 180°
Discussion
477.

In an isosceles triangle ABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to

A. 90°
B. 100°
C. 130°
D. 80°
Answer» D. 80°
Discussion
478.

In an isosceles trapezium ______.

A. Opposite sides are parallel
B. Opposite angles are supplementary
C. Opposite angles are not equal
D. Diagonals bisect opposite angles
Answer» C. Opposite angles are not equal
Discussion
479.

In Δ ABC , if ∠BAC = 90° and AB = AC , then ∠ABC is

A. 30°
B. 60°
C. 45°
D. 25°
Answer» D. 25°
Discussion
480.

In ΔABC, AD is the median and AD = (1/2)BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB?

A. 30
B. 40
C. 50
D. 60
Answer» D. 60
Discussion
481.

In ΔABC, ∠B is right angle, D is the mid point of the side AC. If AB = 6 cm, BC = 8cm, then the length of BD is

A. 4 cm
B. 5 cm
C. 8 cm
D. 12 cm
Answer» C. 8 cm
Discussion
482.

In ΔABC, ∠B=90 deg and BC= √3 AB. Find the measurement of ∠A

A. 45 deg
B. 90 deg
C. 30 deg
D. 60 deg
Answer» E.
Discussion
483.

In ΔABC , DE || AC. Where D and E are two points lying on AB and BC respectively. If AB = 5 cm and AD = 3 cm, then BE : EC is

A. 0.085416666666667
B. 0.12638888888889
C. 0.21041666666667
D. 0.12847222222222
Answer» B. 0.12638888888889
Discussion
484.

In ΔABC, the medians AD and BE meet at G. The ratio of the areas of ΔBDG and the quadrilateral GDCE is

A. 0.043055555555556
B. 0.04375
C. 0.085416666666667
D. 0.12777777777778
Answer» B. 0.04375
Discussion
485.

In ΔABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD?

A. 3.5
B. 7
C. 10.5
D. 14
Answer» E.
Discussion
486.

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of DF?

A. 2.4 cm
B. 4.8 cm
C. 3.6 cm
D. 9.6 cm
Answer» E.
Discussion
487.

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is

A. 12 cm
B. 20 cm
C. 14 cm
D. 16 cm
Answer» C. 14 cm
Discussion
488.

In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?

A. 107.5
B. 112.5
C. 117.5
D. 122.5
Answer» C. 117.5
Discussion
489.

In ΔPQR, L and M are two points on the sides PQ and PR respectively such that LM II QR. If PL=2cm; LQ=6cm and PM=1.5 cm, then MR in cm is

A. 0.5
B. 4.5
C. 9
D. 8
Answer» C. 9
Discussion
490.

In ΔPQR measure of angle Q is 90 deg. If tanP = 24/7, and PQ = 14cm, then what is the length (in cm) of side QR?_x005F_x000D_

A. 50
B. 20
C. 26
D. 48
Answer» E.
Discussion
491.

In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

A. 18
B. 28
C. 32
D. 36
Answer» E.
Discussion
492.

In ΔPQR, PS and PT are bisectors of ∠QPR and ∠QPS respectively. If ∠QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ΔPTR

A. 36
B. 54
C. 72
D. 216
Answer» C. 72
Discussion
493.

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?

A. 7.5 cm
B. 5 cm
C. 10 cm
D. 2.5 cm
Answer» B. 5 cm
Discussion
494.

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 5 cm and DE = 6 cm, find the length of BD._x005F_x000D_ _x005F_x000D_

A. 4 cm
B. 5 cm
C. 6 cm
D. √30 cm
Answer» B. 5 cm
Discussion
495.

In the figure ∠AMB = 130°, then what is the value (in deg) of ∠ABQ?_x005F_x000D_ _x005F_x000D_

A. 40
B. 50
C. 60
D. 90
Answer» C. 60
Discussion
496.

In the figure, a circle touches quadrilateral ABCD. If AB = 2x + 3, BC = 3x - 1, CD = x + 6 and DA = x + 4, then what is the value of x?_x005F_x000D_

A. 3
B. 4.5
C. 6
D. 6.5
Answer» D. 6.5
Discussion
497.

In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in sq.cm) of the shaded region?_x005F_x000D_  _x005F_x000D_

A. 414.46
B. 382.82
C. 406.48
D. 394.24
Answer» E.
Discussion
498.

In the given fig, ST||RP, then what is the value of supplementary angle y (in deg)?_x005F_x000D_

A. 10
B. 60
C. 100
D. 170
Answer» D. 170
Discussion
499.

In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?_x005F_x000D_

A. 4
B. 6
C. 4.5
D. 7.5
Answer» C. 4.5
Discussion
500.

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle ?_x005F_x000D_

A. 32/√3
B. 32√3
C. 64/√3
D. None
Answer» E.
Discussion