Explore topic-wise MCQs in Arithmetic Ability.

This section includes 1365 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 ΔUVW measure of angle V is 90 deg. If cosecU = 13/12, and UV = 2.5cm, then what is the length (in cm) of side VW?

A. 6.5
B. 6
C. 4
D. 5.6
Answer» C. 4
Discussion
502.

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:1 and length of QR is 15 cm,what is the length of ST?

A. 3 cm
B. 5 cm
C. 12 cm
D. 10 cm
Answer» D. 10 cm
Discussion
503.

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:3 and length of QR is 4.9 cm, find ST?

A. 5.6 cm
B. 7.2 cm
C. 2.8 cm
D. 3.6 cm
Answer» D. 3.6 cm
Discussion
504.

In ΔPQR measure of angle Q is 900. If sinP = 12/13, and PQ = 1cm, then what is the length (in cm) of side QR?_x005F_x000D_

A. 2.6_x005F_x000D_
B. 3_x005F_x000D_
C. 2.4
D. 4
Answer» D. 4
Discussion
505.

In ΔPQR measure of angle Q is 90°. If tanP = 4/3, and PQ = 1.5cm, then what is the length (in cm) of side PR?

A. 2
B. 2.5
C. 3
D. 4.8
Answer» C. 3
Discussion
506.

In ΔPQR measure of angle Q is 90°. If cosP = 5/13, and PQ = 2.5cm, then what is the length (in cm) of side PR?

A. 6
B. 6.5
C. 4
D. 5.6
Answer» C. 4
Discussion
507.

In ΔDEF measure of angle E is 90 deg. If sinD = 15/17, and DE = 4cm, then what is the length (in cm) of side EF?

A. 8.5
B. 7.5
C. 5
D. 6
Answer» C. 5
Discussion
508.

In ΔABC measure of angle B is 90 deg. If tanA = 15/8, and AB = 0.8 cm, then what is the length (in cm) of side AC?_x005F_x000D_

A. 1.7
B. 1.5
C. 2
D. 2.5
Answer» B. 1.5
Discussion
509.

In ΔABC measure of angle B is 90 deg. If tanA = 12/5, and AB = 1cm, then what is the length (in cm) of side BC?_x005F_x000D_

A. 2.6
B. 2.4
C. 1.5
D. 2
Answer» C. 1.5
Discussion
510.

In ΔABC measure of angle B is 90 deg. If cosA = 5/13, and AB = 10 cm, then what is the length (in cm) of side BC?

A. 26
B. 24
C. 25
D. 5
Answer» C. 25
Discussion
511.

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

A. 12.6 cm
B. 9.3 cm
C. 8.1 cm
D. 5.4 cm
Answer» B. 9.3 cm
Discussion
512.

In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:

A. 35
B. 38
C. 40
D. 42
Answer» C. 40
Discussion
513.

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 9 cm, 6 cm and 5.4 cm respectively find length of BC?

A. 3.6 cm
B. 4.8 cm
C. 11.2 cm
D. 9 cm
Answer» E.
Discussion
514.

In an isosceles trapezium _____.

A. Diagonals are congruent
B. Opposite sides are parallel
C. Diagonals are bisectors of each other
D. Diagonals bisect opposite angles
Answer» B. Opposite sides are parallel
Discussion
515.

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :

A. 35
B. 38
C. 40
D. 42
Answer» C. 40
Discussion
516.

In a triangle PQR, ∠Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?

A. 5
B. 6
C. 6.5
D. 6√2
Answer» D. 6√2
Discussion
517.

In a slip test, K got the 15th rank and he was 44th from the bottom of the list of passed students. 4 students did not take up the slip test and 3 students were failed. What is the total strenght of the class ?

A. 63
B. 62
C. 64
D. 65
Answer» E.
Discussion
518.

In a triangle ABC, a line is drawn from C which bisects AB at point D. Find the ratio of area of the triangles DBC and ABC._x005F_x000D_  _x005F_x000D_ _x005F_x000D_

A. 0.042361111111111
B. 0.084027777777778
C. 0.043055555555556
D. 0.04375
Answer» D. 0.04375
Discussion
519.

In a school there are 1500 students, 44% of them are girls. Monthly fee of each boy is 540 and fee of each girl is 25% less than that of a boy. The sum of fees of boys & girl is

A. Rs. 720600
B. Rs. 720800
C. Rs. 720900
D. Rs. 721000
Answer» D. Rs. 721000
Discussion
520.

In a Rhombus ABCD, measure of angle CAB is 35°, what is the measure of angle ABC?

A. 70°
B. 40°
C. 50°
D. 110°
Answer» E.
Discussion
521.

In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?

A. 6
B. 10
C. 8
D. 12
Answer» E.
Discussion
522.

In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ?

A. 175
B. 145
C. 165
D. 135
Answer» B. 145
Discussion
523.

In a farm, there are goats and peacocks. If the number of heads are 60 and the number of feet are 170, then the number of goats = ?

A. 18
B. 20
C. 23
D. 25
Answer» E.
Discussion
524.

In a farm, in addition to 48 hens there are 42 sheep and 11 oxen with some shepherds. If the total number of feet be 224 more than the number of heads, find the number of shepherd.

A. 11
B. 13
C. 15
D. 17
Answer» E.
Discussion
525.

In a circle, two arcs of unequal length subtend angles in the ratio 5:3. If the smaller angle is 45° then the measure of other angle in degrees.

A. 75°
B. 72°
C. 60°
D. 78°
Answer» B. 72°
Discussion
526.

If z = 6 - 2√3, then find the value of (z - 1z)2._x005F_x000D_

A. 102 - 4634
B. 102 - 4632
C. 102 - 46324
D. 12 - 46324
Answer» D. 12 - 46324
Discussion
527.

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

A. 30°
B. 45°
C. 60°
D. 90°
Answer» D. 90°
Discussion
528.

If x, y, z are three numbers such that x + y = 13, y + z = 15 and z + x = 16, the value of xy+zzxyz is:_x005F_x000D_

A. 536
B. 365
C. 185
D. 518
Answer» E.
Discussion
529.

If x + y + z = 6 and xy + zx + zy = 10, then find the value of x3 + y3 + z3 - 3xyz_x005F_x000D_

A. 16
B. 26
C. 36
D. 46
Answer» D. 46
Discussion
530.

If (x + y)/z = 2, then what is the value of [y/(y – z)] + [x/(x – z)]?

A. 0
B. 1
C. 2
D. – 1
Answer» D. – 1
Discussion
531.

If X + Y = 19 and X - Y = 7, then XY = ?

A. 13
B. 48
C. 78
D. 72
Answer» D. 72
Discussion
532.

If x varies as y and x = 8 when y = 15 then the value of x when y = 10 is:

A. 5
B. 44423
C. 42217
D. 44271
Answer» E.
Discussion
533.

If x - √x = 20; Find the value of √x.

A. 5
B. 6
C. 8
D. 7
Answer» B. 6
Discussion
534.

If x – 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x – 3y)?

A. 44325
B. 44327
C. 44390
D. 44386
Answer» C. 44390
Discussion
535.

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A. x2+ y2+ 3 =1
B. x2y2 (x2+ y2+3)=1
C. x2 (x2+ y2 - 5)=1
D. y2 (x2+ y2 - 5)=1
Answer» C. x2 (x2+ y2 - 5)=1
Discussion
536.

If x and y are positive integer numbers and 3xy - 4then find the minimum value of 3x + 4._x005F_x000D_

A. 0
B. 1
C. 6
D. 8
Answer» E.
Discussion
537.

If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

A. ( b + 3 a)/( a – 3 b)
B. ( a + 3 b)/( b – 3 a)
C. (1 + 3 a)/( a + 3 b)
D. ( a + 3 b2)/( b – 3 a2)
Answer» B. ( a + 3 b)/( b – 3 a)
Discussion
538.

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

A. ab
B. a2+b2
C. a2-b2
D. 1
Answer» C. a2-b2
Discussion
539.

If x = 7 - 4√3 find the value of x  + 1x_x005F_x000D_

A. 0
B. 1
C. 4
D. -4
Answer» D. -4
Discussion
540.

If x = 4 + √15, then what is the value of [x2 + (1/x2)]?_x005F_x000D_

A. 62
B. 64
C. 34
D. 36
Answer» B. 64
Discussion
541.

If x32 - 1x16 = 5, then find the value of x96 - 1x48._x005F_x000D_  _x005F_x000D_

A. 40
B. 70
C. 140
D. 180
Answer» D. 180
Discussion
542.

If x + 3 ≤ 4x + 4 and 5(4 -­ x) ­- 4 ≥ 5x - ­2; then

A. 2
B. 3
C. 1
D. -1
Answer» D. -1
Discussion
543.

If x + 3 ≤ 4x + 4 and 3(4 - x) - 4 ≥ 2x - 2, then x can take which of the following values?

A. 1
B. 3
C. -1
D. -3
Answer» B. 3
Discussion
544.

If x/3 - [5(7x/5 - 4/3)]/2 = -x/6, then what is the value of x?

A. 44449
B. -1.1111111111111
C. -0.9
D. 44478
Answer» B. -1.1111111111111
Discussion
545.

If X + 2Y = 27 and X - 2Y = -1, find the value of Y.

A. 13
B. 14
C. 7
D. 26
Answer» D. 26
Discussion
546.

If x - 2y = 2 and 3x + y = 20, then the value of (x,y) is

A. (6, 2)
B. (4, 1)
C. (3, 2)
D. (5, 5)
Answer» B. (4, 1)
Discussion
547.

If x + 2(3-5x) > -1 - 2x < 5 - x/3; then the value of x is

A. -3
B. -4
C. 2
D. 3
Answer» B. -4
Discussion
548.

If x = 2 +√3, y = 2 – √3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?

A. 25
B. 22
C. 17
D. 43
Answer» B. 22
Discussion
549.

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

A. -10
B. 44417
C. 10
D. -1.125
Answer» D. -1.125
Discussion
550.

If x2 + kx + k = 0 has repeated roots, then the value of k will satisfy :_x005F_x000D_  _x005F_x000D_

A. k<0 or k>4
B. k=4 only
C. 0<k<4
D. k=4 or k=0
Answer» E.
Discussion