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.

601.

If sinθ + cosθ = 1, then the sinθ cosθ is equal to

A. 0
B. 1
C. 44228
D. -0.5
Answer» B. 1
Discussion
602.

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

A. 30
B. 45
C. 60
D. 75
Answer» B. 45
Discussion
603.

If Sin θ = 20/29 , then what is the value of Sec Sin θ ?

A. 29/21
B. 29/20
C. 21/20
D. 21/29
Answer» B. 29/20
Discussion
604.

If Sin θ = 20/29, then what is the value of Cos θ?

A. 29/21
B. 21/29
C. 21/20
D. 20/29
Answer» C. 21/20
Discussion
605.

If Sin θ = 12/13, then what is the value of Cot θ?

A. 44543
B. 41395
C. 44535
D. 44329
Answer» D. 44329
Discussion
606.

If sin ­- 5π/3 = x, then the value of x is

A.
B. √3/2
C. -2
D.
Answer» C. -2
Discussion
607.

If sin ­-330° = x, then the value of x is

A. √3/2
B. 44228
C.
D. √2
Answer» C.
Discussion
608.

If sin ­-240° = x, then the value of x is

A. ­2/√3
B. √2
C. 2
D. √3/2
Answer» E.
Discussion
609.

If sin π/6 + sec π/6 = x, then x is

A. (2√2-1)/2
B. 5/√3
C. (√6-1)/√2
D. (√3+4)/2√3
Answer» E.
Discussion
610.

If sin - 4Ï€/3 = x, then the value of x is

A. -2
B.
C. √3/2
D. √2
Answer» D. √2
Discussion
611.

If sinθ = 40/41, then cotθ is_x005F_x000D_

A. 40/9
B. 14855
C. 15220
D. 41/9
Answer» C. 15220
Discussion
612.

If sin (3x ­ 20°) = cos (3y + 20°), then find the value of (x + y).

A. 90°
B. 60°
C. 120°
D. 30°
Answer» E.
Discussion
613.

If secA = x, then the value of x is

A. √(1 -­ cot2A)
B. √(1 -­ tan2A)
C. √(1 + cot2A)
D. √(1 + tan2A)
Answer» E.
Discussion
614.

If secA + tanA = x, then the value of x is

A. cosA/(1 + sinA)
B. √[cosA/(1 - sinA)]
C. √[cosA/(1 + sinA)]
D. cosA/(1 - sinA)
Answer» E.
Discussion
615.

If secA - tanA = x, then the value of x is

A. 1/(sec2A - tan2A)
B. 1/(sec2A + tan2A)
C. 1/√[(sec2A - tan2A)]
D. 1/(secA + tanA)
Answer» E.
Discussion
616.

If secA + tanA = x, then find the value of x.

A. √[(1 - sinA)/(1 + sinA)]
B. (1 + sinA)/(1 - sinA)
C. (1 - sinA)/(1 + sinA)
D. √[(1 + sinA)/(1 - sinA)]
Answer» E.
Discussion
617.

If secA + tanA = a, then the value of cosA is

A. a2+12a
B. 2aa2+1
C. a2-12a
D. 2aa2-1
Answer» C. a2-12a
Discussion
618.

If secA -­ tanA = x, then the value of x is

A. √[(1 + sinA)/(1 ­- sinA)]
B. √[(1­-sinA)/(1+sinA)]
C. (1-­sinA)/(1+sinA)
D. (1 + sinA)/(1 -­ sinA)
Answer» C. (1-­sinA)/(1+sinA)
Discussion
619.

If secA/√(sec2A ­- 1) = x, then value of x is

A. tanA
B. cosecA
C. sinA
D. cosA
Answer» C. sinA
Discussion
620.

If secA/(secA ­- 1) + secA/(secA + 1) = x, then x is

A. 2cosec2A
B. 2sec2A
C. 2cosecA
D. 2secA
Answer» B. 2sec2A
Discussion
621.

If secθ = cosecq with 0° < θ , q < 90°, then the value of sin (θ + q) is

A. 1
B.
C. 2
D. 4
Answer» B.
Discussion
622.

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

A. 3√2
B. 3/√2
C. 1/√2
D. √2
Answer» E.
Discussion
623.

If Sec θ = 5/3, then what is the value of Cosec θ?

A. 0.8
B. 1.25
C. 44259
D. 44289
Answer» C. 44259
Discussion
624.

If Sec θ = 25/24 , then what is the value of Sin θ?

A. 24/25
B. 45839
C. 44401
D. 44402
Answer» C. 44401
Discussion
625.

If Sec θ = 13/12, then what is the value of Sin θ?

A. 41395
B. 44328
C. 41609
D. 44535
Answer» B. 44328
Discussion
626.

If Sec θ = 13/12, then Cot θ = ?

A. 44328
B. 44329
C. 41395
D. 44535
Answer» B. 44329
Discussion
627.

If sec -5Ï€/4 = x, then the value of x is

A.
B.
C. -1
D. √3
Answer» C. -1
Discussion
628.

If sec (4x - 50°) = cosec(50° - x), Then the value of x is

A. 45°
B. 90°
C. 30°
D. 60°
Answer» D. 60°
Discussion
629.

If sec (3x – 20°) = cosec (3y + 20°), then what is the value of tan (x + y)?

A. 1
B. √3
C. 1/√3
D. 2√3
Answer» D. 2√3
Discussion
630.

If sec 300° = x, then value of x is

A. ­√2
B. 1/√3
C. 2
D. ­1
Answer» D. ­1
Discussion
631.

If √y = √4 - √6, then find the value of y2 - 20y + 12._x005F_x000D_  _x005F_x000D_

A. 4
B. 8
C. 10
D. 12
Answer» C. 10
Discussion
632.

If √x ­- √y = 1 , √x + √y = 17 then √xy = ?

A. √72
B. 72
C. 32
D. 24
Answer» C. 32
Discussion
633.

If √5 = 2.236, then √5/2 is

A. 1.851
B. 1.118
C. 2.236
D. 1.782
Answer» C. 2.236
Discussion
634.

If √21 = 4.58, then the simplified value of 837 - 373_x005F_x000D_

A. 0.474
B. 0.752
C. 0.655
D. 1
Answer» D. 1
Discussion
635.

If √20 + √125 = 15.65, then what is the value of √45 + √5?

A. 6.98
B. 8.94
C. 9.98
D. 11.27
Answer» C. 9.98
Discussion
636.

If √[(1 + cosA)/2] = x, then find the value of x.

A. sin(A/2)
B. tan(A/2)
C. cot(A/2)
D. cos(A/2)
Answer» E.
Discussion
637.

If √[(1 - cosA)/2] = x, then the value of x is

A. cos(A/2)
B. tan(A/2)
C. sin(A/2)
D. cot(A/2)
Answer» D. cot(A/2)
Discussion
638.

If price of oranges is increased by 30%, then a person can buy 12 oranges less for Rs 208. What is the original price (in Rs) of an orange?

A. 2
B. 4
C. 8
D. 3
Answer» C. 8
Discussion
639.

If 'Q ' means ' +', 'J ' means ' X',T ' ' means '- ' and 'K ' means '÷ ', then what is the value of18K3Q7J ?

A. 15
B. 10
C. 18
D. 12
Answer» E.
Discussion
640.

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A. 55
B. 56
C. 60
D. 64
Answer» C. 60
Discussion
641.

If p+ q = 7 and pq = 5, then the value of p3 + q3?_x005F_x000D_

A. 34
B. 238
C. 448
D. 64
Answer» C. 448
Discussion
642.

If p + 1p = 10, then the value of p4 + 1p4._x005F_x000D_

A. 52
B. 60
C. 62
D. 65
Answer» D. 65
Discussion
643.

If one more cobbler is hired the output of a shoe making unit will increase from 50 pairs of shoes to 55 pairs per day, but then the shoe making unit will have to reduce the price of a pair of shoes from Rs 3200 to Rs 3000 per pair to sell the additional output, the marginal revenue product of the last cobbler is

A. Rs 1000
B. Rs 5000
C. Rs 4000
D. Rs 200
Answer» C. Rs 4000
Discussion
644.

If y - 1y  = 4, then find the value of y3 - 1y3._x005F_x000D_

A. 64
B. 76
C. 88
D. 90
Answer» C. 88
Discussion
645.

If y = 13 + 23 + 33 + 43 + 53 + 63 then find the value of y - 1._x005F_x000D_

A. 429
B. 439
C. 440
D. 441
Answer» D. 441
Discussion
646.

If x+5 + xx+5 - x = 5, then find the value of 'x'._x005F_x000D_

A. 1
B. 2
C. 3
D. 4
Answer» E.
Discussion
647.

If x2-4x+4=0, then the value 16 (x4 - x14) is_x005F_x000D_

A. 127
B. 255
C. 12716
D. 25516
Answer» C. 12716
Discussion
648.

If x2 + kx + k = 0 has no solution, then the value of k will satisfy_x005F_x000D_

A. k < 4
B. k > -4
C. k > 4
D. 0 < k < 4
Answer» E.
Discussion
649.

If x2 = 252 - 152, then find the value of x?_x005F_x000D_

A. 40
B. 50
C. 20
D. 25
Answer» D. 25
Discussion
650.

If (x + 1x) = 2, then find the value of (x3 + 1x3) ÷ (x18 + 1x18)_x005F_x000D_

A. 44441
B. 5
C. 1
D. 44440
Answer» D. 44440
Discussion