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.

451.

(secA - 1)/(secA + 1) is equal to?

A. (1 - sinA)/(1 + sinA)
B. (1 + cosA)/(1 - cosA)
C. (1 + sinA)/(1 - sinA)
D. (1 - cosA)/(1 + cosA)
Answer» E.
Discussion
452.

Sec 45% + Tan 30% =

A. (√6 + 1)/√3
B. (1 + √3)/2
C. (√3 + 2)/√3
D. 5/√3
Answer» B. (1 + √3)/2
Discussion
453.

Seam got Rs. 50 from her father and bought a toffee for Rs. 15. Her mother gave her Rs. 30, but her brother took Rs. 42 from her. How much money was left with her?_x005F_x000D_

A. Rs. 20
B. Rs. 25
C. Rs. 23
D. Rs. 24
Answer» D. Rs. 24
Discussion
454.

Rs.7750 is divided among X, Y and Z such that 3 times of X's share is equal to 5 times of Y's share which is equal to 2 times of Z's share. What is the share (in Rs) of Z?

A. 4250
B. 3750
C. 3875
D. 4475
Answer» C. 3875
Discussion
455.

Rehman walks at 8 km/hr and Roma cycles at 13 km/hr towards each other. What was the distance between them when they started if they meet after 36 minutes?

A. 12.6 kms
B. 18.9 kms
C. 15.8 kms
D. 9.5 kms
Answer» B. 18.9 kms
Discussion
456.

Reflection of the point (­2,5) in the x­ axis is

A. (2,5)
B. (-2,­5)
C. (­2,-5)
D. (­-2,­-5)
Answer» E.
Discussion
457.

Reflection of the point (­1,4) in the x­axis is

A. (1,4)
B. (1,­-4)
C. (­-1,4)
D. (-­1,-­4)
Answer» E.
Discussion
458.

Reflection of the point (4,-5) in the y-axis is

A. (4,5)
B. (-4,-5)
C. (4,-5)
D. (-4,5)
Answer» C. (4,-5)
Discussion
459.

Reflection of the point (4,­6) in the origin is

A. (4,6)
B. (­-4,­-6)
C. (­-4,6)
D. (4,­-6)
Answer» D. (4,­-6)
Discussion
460.

Reflection of the point (3,-6) in the y-axis is

A. (3,6)
B. (3,-6)
C. (-3,-6)
D. (-3,6)
Answer» D. (-3,6)
Discussion
461.

Reflection of the point (-3,6) in the x-axis is

A. (3,6)
B. (6,-3)
C. (-3,-6)
D. (-6,3)
Answer» D. (-6,3)
Discussion
462.

Reduce 3596 / 4292 to lowest terms.

A. 29/37
B. 17/43
C. 31/37
D. 19/23
Answer» D. 19/23
Discussion
463.

Reflection of the point (2,­7) in the y­axis is

A. (2,7)
B. (­-2,-­7)
C. (­-7,2)
D. (7,­2)
Answer» C. (­-7,2)
Discussion
464.

Reduce 2530/1430 to lowest terms.

A. 47/17
B. 23/13
C. 47/19
D. 29/17
Answer» C. 47/19
Discussion
465.

Product of 6ab, 3b and 4a is

A. 72a2b2
B. 144ab
C. 72ab
D. 144a2b2
Answer» B. 144ab
Discussion
466.

Profit of Rs 144000 has to be divided among three partners Akram, Bipin and Chintan in the ratio 3:2:7. How much Rs. Chintan get?

A. 84000
B. 24000
C. 36000
D. 42000
Answer» B. 24000
Discussion
467.

PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

A. 5/√3
B. 10√3
C. 10/√3
D. 5√2
Answer» B. 10√3
Discussion
468.

Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?

A. (6, 4)
B. (8, 2)
C. (1,-2)
D. (-6, -2)
Answer» C. (1,-2)
Discussion
469.

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

A. 65°
B. 130°
C. 115°
D. 55°
Answer» D. 55°
Discussion
470.

Point P is the midpoint of segment AB. Co-ordinates of P are (5,-4) and A are (7,0). What will be the co-ordinates of point B?

A. (3, -8)
B. (-3, -8)
C. (3, 8)
D. (-3, 8)
Answer» B. (-3, -8)
Discussion
471.

Point Q(-2,b) is the midpoint of segment EF. Co-ordinates of E are (-7,-6) and F are (a,0). What is the value of a and b?

A. a = 3; b = -3
B. a = -3; b = -3
C. a = 3; b = 3
D. a = -3; b = 3
Answer» B. a = -3; b = -3
Discussion
472.

Point P is the midpoint of seg AB. Co­-ordinates of P are (­-1,1) and A are (4,3). What are the co-­ordinates of point B?

A. (6, 1)
B. (-­6, ­1)
C. (6, ­-1)
D. (­-6, -1)
Answer» E.
Discussion
473.

Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?

A. (4 , 3)
B. (4 , 5)
C. (2 , 5)
D. (3 , 5)
Answer» C. (2 , 5)
Discussion
474.

Point P (-2, 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. 1
B. -1
C. 2
D. -2
Answer» B. -1
Discussion
475.

Point A (4 , 2) divides segment BC in the ratio 2:5. Co-ordinates of B are (2 , 6) and C are (7 , y). What is the value of y?

A. 8
B. -8
C. 6
D. -6
Answer» C. 6
Discussion
476.

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?_x005F_x000D_

A. 18
B. 9
C. 20
D. 12
Answer» D. 12
Discussion
477.

P(4,2) and R(-2,0) are vertices of a rhombus PQRS. What is the equation of diagonal QS.

A. x - 3y = -2
B. 3x + y = 4
C. 3x + y = -4
D. x - 3y = 2
Answer» C. 3x + y = -4
Discussion
478.

P + Q = 2(P-Q). If Q = 10, what is the value of P?

A. 10
B. 40
C. 20
D. 30
Answer» E.
Discussion
479.

P(3,1) and R(-7,5) are vertices of a rhombus PQRS. What is the equation of diagonal QS?

A. 5x - 2y = 16
B. 5x - 2y = -16
C. 5x + 2y = -16
D. 5x + 2y = 16
Answer» C. 5x + 2y = -16
Discussion
480.

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

A. 1.5
B. 2
C. 2.5
D. 3
Answer» D. 3
Discussion
481.

Out of the 60 students of a class, 29 took Mathematics, 32 took Biology and 8 took none of the two subjects. How many students took both Mathematics and Biology?

A. 8
B. 9
C. 7
D. 6
Answer» C. 7
Discussion
482.

On dividing a number by 38, we get 70 as quotient and 12 as remainder. What is the number?

A. 2648
B. 2636
C. 2684
D. 2672
Answer» E.
Discussion
483.

N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?

A. 8
B. 9
C. 7
D. 10
Answer» E.
Discussion
484.

Mr. Ankit is on tour to Siachin and he has Rs. 360 for his expenditure. If he exceeds his tour by 4 days, he must trim down his daily expenditure by Rs.3. Forhow many days is Mr. Ankit is on tour?

A. 20
B. 22
C. 24
D. 26
Answer» B. 22
Discussion
485.

Mayur can complete a work in 27 hours. If he is joined by Jayantika who is 100% more efficient, in what time will they together finish the work?

A. 6 hours
B. 3 hours
C. 9 hours
D. 10 hours
Answer» D. 10 hours
Discussion
486.

M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9?

A. 2
B. 1
C. 3
D. 6
Answer» C. 3
Discussion
487.

Let ΔABC and ΔABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of triangles ABC and ABD will be_x005F_x000D_

A. 1
B. 2
C. 3
D. 4
Answer» E.
Discussion
488.

In the question, two equations I and II are given. You have to solve both the equations and give answer_x005F_x000D_ x2-11x+28=0y2-18y+81=0

A. x > y
B. x < y
C. x=y, or relation cannot be established between x and y
D. x ≥ y
Answer» C. x=y, or relation cannot be established between x and y
Discussion
489.

In the given figure, SX is tangent. SX = OX = OR. If QX = 3 cm and PQ = 9 cm, then what is the value (in cm) of OS?_x005F_x000D_

A. 6
B. 5
C. 4
D. 3
Answer» E.
Discussion
490.

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre Oand radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord ABis 5 cm, then what is the value (in deg) of COD?_x005F_x000D_

A. 90
B. 120
C. 150
D. 135
Answer» C. 150
Discussion
491.

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?_x005F_x000D_

A. 8
B. 12
C. 6
D. 15
Answer» C. 6
Discussion
492.

In the given figure, E and F are the centers of two identical circles. What is the ratio of area of triangle AOB to the area of triangle DOC?_x005F_x000D_

A. 0.04375
B. 0.047916666666667
C. 0.047222222222222
D. 0.044444444444444
Answer» C. 0.047222222222222
Discussion
493.

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

A. 45
B. 35
C. 55
D. 65
Answer» D. 65
Discussion
494.

In the given figure, a circle touches the sides of the quadrilateral PQRS. The radius of the circle is 9 cm. RSP = SRQ = 60 deg and PQR = QPS = 120 deg. What is the perimeter (in cm) of the quadrilateral?_x005F_x000D_

A. 36√3
B. 24√3
C. 48√3
D. 32
Answer» D. 32
Discussion
495.

In the following questions two equations numbered I and II are given. You have to solve boththe equations and give answers_x005F_x000D_ I. 2x ² –21x + 54 = 0_x005F_x000D_ II. y ² –14y + 49 = 0

A. x = y or relation can’t be established between x and y
B. x > y
C. x < y
D. x ≥ y
Answer» D. x ≥ y
Discussion
496.

In the following question, correct the equation by interchanging two signs._x005F_x000D_ 4 x 3 – 6 ÷ 2 + 7 = 8

A. – and +
B. x and –
C. ÷ and x
D. x and +
Answer» B. x and –
Discussion
497.

In the first 10 overs of a cricket game, the run rate was only 3.2. The run rate in the remaining 40 overs to reach the target of 282 runs is

A. 6.4
B. 6.3
C. 6.25
D. 6.5
Answer» D. 6.5
Discussion
498.

In each of the following questions two equations I and II are given. Solve both the equations and give answer: I. x2+2x-195=0II. y2+30y+225=0

A. x = y or relation can’t be established between x and y
B. x > y
C. x < y
D. x ≥ y
Answer» E.
Discussion
499.

In ΔXYZ measure of angle Y is 90 deg. If cot X = 5/12, and XY = 2.5 cm, then what is the length (in cm) of side XZ?

A. 6
B. 4
C. 5.6
D. 6.5
Answer» E.
Discussion
500.

In ΔUVW measure of angle V is 90 deg. If sinU = 24/25, and UV = 0.7cm, then what is the length (in cm) of side VW?

A. 2.5
B. 3
C. 2.4
D. 4
Answer» D. 4
Discussion