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.

651.

If  x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?

A. 0
B. 1
C. -1
D. -2
Answer» B. 1
Discussion
652.

If tanθ = 15, find the value of cosec2θ - sec2θ._x005F_x000D_

A. 44317
B. 44340
C. 44328
D. 44329
Answer» C. 44328
Discussion
653.

If tanα= 2 + 1, then the value of tanα - cotα is_x005F_x000D_

A. √2 - 1
B. 2√2
C. 2
D. 1
Answer» D. 1
Discussion
654.

If tan4θ + tan2θ = 2, then sec4θ - sec2θ = ?_x005F_x000D_

A. 0
B. 3
C. 2
D. 1
Answer» D. 1
Discussion
655.

If Sinθ = 12, then (Tanθ + Cosθ)_x005F_x000D_

A. 1/√2
B. 2/√2
C. 3/√2
D. (1+√2)/√2
Answer» E.
Discussion
656.

If sec θ + tan θ = 2, then sec θ - tan θ = ?_x005F_x000D_

A. 0.5
B. 1.5
C. 1
D. 0.75
Answer» B. 1.5
Discussion
657.

If s + 1s = 4, then the value of s2 + 1s2_x005F_x000D_

A. 14
B. 16
C. 20
D. 24
Answer» B. 16
Discussion
658.

If p = 72-72-72-72-.....∞, then find the value of 2p2+1?_x005F_x000D_

A. -129
B. -163
C. 129
D. 163
Answer» D. 163
Discussion
659.

If  1515151515.......∞ and x > 0, then find the value of x2 + 4._x005F_x000D_

A. 125
B. 179
C. 200
D. 229
Answer» E.
Discussion
660.

If cotα = 2 + 1, then the value of tanα - cotα = ?_x005F_x000D_

A. √2  - 1
B. 1 - √2
C. -2
D. 2√2
Answer» D. 2√2
Discussion
661.

If ax+y = a6 and x>y by 2, find x?_x005F_x000D_

A. 1
B. 2
C. 3
D. 4
Answer» E.
Discussion
662.

If a3+ 1a3= 52 then the value of 2(a+ 1a) is :_x005F_x000D_

A. 8
B. 2
C. 6
D. 4
Answer» B. 2
Discussion
663.

If a3 = 93 + 1263+ 2173,then which of the following is correct?_x005F_x000D_

A. a=2197
B. a>2197
C. a<2197
D. a<1728
Answer» C. a<2197
Discussion
664.

If a4 + a14 = 50, then find the value of a3 + a13?_x005F_x000D_  _x005F_x000D_ _x005F_x000D_

A. A
B. B
C. C
D. D
Answer» D. D
Discussion
665.

If a2 + b2 - c2 = 0, then the value of 2(a6+b6-c6)3a2b2c2_x005F_x000D_

A. 3
B. 1
C. 0
D. 2
Answer» E.
Discussion
666.

If a2 + 1a2 = 3, then a3 + 1a3 = ?_x005F_x000D_

A. 3√5
B. 2√5
C. 2√3
D. 3√3
Answer» C. 2√3
Discussion
667.

If a = 5 + 22 & b = 5 - 22, then find the value of a2 - b2._x005F_x000D_

A. 2
B. 4
C. 2√2
D. 4√2
Answer» E.
Discussion
668.

If a + 1a = 1, then find the value of a3 + 1a3_x005F_x000D_

A. 2
B. -2
C. 0
D. 1.5
Answer» C. 0
Discussion
669.

If 63 + 72108 + 50 = a + b6, then find the value of 6ab._x005F_x000D_

A. 9
B. 19
C. 38
D. 42
Answer» C. 38
Discussion
670.

If 5cotθ = 3, find the value of 6sinθ - 3cosθ7sinθ + 3cosθ_x005F_x000D_

A. 14916
B. 20/41
C. 21/44
D. 44/21
Answer» D. 44/21
Discussion
671.

If 4x = 10247, then what is the value of x?_x005F_x000D_

A. 44382
B. 44381
C. 44380
D. 44383
Answer» B. 44381
Discussion
672.

If 3tanθ = 2, find the value of 2sinθ - cosθ2cosθ - sinθ._x005F_x000D_

A. 44228
B. 44256
C. 44287
D. 0
Answer» D. 0
Discussion
673.

If 2cosθ = 3, cosθ × tanθ = _x005F_x000D_

A. 1
B. √3/3
C. √3/2
D. 44228
Answer» E.
Discussion
674.

If 19x2 = 1002 - 902, then find the value of x._x005F_x000D_

A. 10
B. 9
C. 11
D. 12
Answer» B. 9
Discussion
675.

If 162x + 6 = 64, then x2 = ?_x005F_x000D_

A. -2.25
B. 44295
C. -4.5
D. 44304
Answer» B. 44295
Discussion
676.

If M = (3/7) ÷ (6/5) × (2/3) + (1/5) × (3/2) and N = (2/5) × (5/6) ÷ (1/3) + (3/5) × (2/3) ÷ (3/5), then what is the value of M/N?

A. 207/560
B. 339/1120
C. 113/350
D. 69/175
Answer» D. 69/175
Discussion
677.

If in a triangle ABC, Sin A = Cos B then the value of Cos C is

A. √3/2
B.
C. 1
D. 1/√2
Answer» C. 1
Discussion
678.

If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?

A. 3
B. 4
C. 5
D. 6
Answer» C. 5
Discussion
679.

If (cotAcotB - 1) / (cotB + cotA) = x, then the value of x is

A. cot(A - B)
B. tan(A + B)
C. cot(A + B)
D. tan(A - B)
Answer» D. tan(A - B)
Discussion
680.

If cotA = x, then the value of x is

A. √(sec2A + 1)
B. √(cosec2A + 1)
C. √(sec2A - 1)
D. √(cosec2A - 1)
Answer» E.
Discussion
681.

If cot(A/2) = x, then x is equal to

A. tanA/(1 + secA)
B. 1/(secA + cotA)
C. tanA/(1 + cosecA)
D. 1/(cosecA ­- cotA)
Answer» E.
Discussion
682.

If cotA + cotB = x, then value of x is

A. (cotAcotB + 1)/(cotB - cotA)
B. (cotAcotB + 1)/(cotB + cotA)
C. (cotAcotB - 1)/(cotB + cotA)
D. (cotAcotB - 1)/(cotB - cotA)
Answer» D. (cotAcotB - 1)/(cotB - cotA)
Discussion
683.

If cot(A/2) = x, then the value of x is

A. √[(1 + cosA)/(1 -­ cosA)]
B. cosecA -­ cotA
C. √[(1 -­ cosA)/2]
D. √[(1 + cosA)/2]
Answer» B. cosecA -­ cotA
Discussion
684.

If cot2A = x, then x is

A. 2cotA/(cot2A -­ 1)
B. (cot2A -­ 1)/2cotA
C. (cot2A + 1)/2cotA
D. 2cotA/(1 -­ cot2A)
Answer» C. (cot2A + 1)/2cotA
Discussion
685.

If Cot θ = 24/7, then what is the value of Sec θ?

A. 45839
B. 25/24
C. 45870
D. 45901
Answer» C. 45870
Discussion
686.

If Cot θ = 24/7, then Sin θ = ?

A. 24/25
B. 45870
C. 45839
D. 45901
Answer» D. 45901
Discussion
687.

If Cot θ = 21/20, then what is the value of Sec θ?

A. 29/21
B. 21/29
C. 29/20
D. 20/29
Answer» B. 21/29
Discussion
688.

If Cot θ = 21/20, then what is the value of Cosec θ?

A. 21/29
B. 29/21
C. 20/29
D. 29/20
Answer» E.
Discussion
689.

If cot ­-4π/3 = x, then the value of x is

A. -1
B.
C. √3
D. 1
Answer» C. √3
Discussion
690.

If cot A = [sin B/(1 – cos B)], then what is the value of cot 2A?

A. cot(B/2)
B. cot 2B
C. cot B
D. tan B
Answer» D. tan B
Discussion
691.

If cot π/3c -­ tan π/4c = x, then the value of x is

A. √3+2
B. (1­-√3)/√3
C. (1-­√2)/√2
D. (√3+4)/2√3
Answer» C. (1-­√2)/√2
Discussion
692.

If cot A = n/(n + 1) and cot B = 1/(2n + 1), then what is the value of cot (A + B)?

A. -1
B.
C. 1
D. 2
Answer» B.
Discussion
693.

If cot 60° + cosec 60° = x, then the value of x is

A. (1-2√2)/√2
B. (√3-4)/2√3
C. 1
D. √3
Answer» E.
Discussion
694.

If cot 240° = x, then the value of x is

A. -1
B.
C. 1/√3
D. √3
Answer» D. √3
Discussion
695.

If cot 135° = x, then the value of x is

A.
B.
C. -1
D. -0.5
Answer» D. -0.5
Discussion
696.

If cosx.cosy + sinx.siny = -1 then cosx + cosy is

A. -2
B. 1
C. 0
D. 2
Answer» D. 2
Discussion
697.

If (cosecA -­ 1)/(cosecA + 1) = x, then the value of x is

A. (sinA/(1 + cosA))2
B. cosA/(1 + sinA)
C. (cosA/(1 + sinA))2
D. sinA/(1 + cosA)
Answer» D. sinA/(1 + cosA)
Discussion
698.

If cosecA + cotA = x, then value of x is

A. 1/(cosecA - cotA)
B. 1/(secA - tanA)
C. 1/(secA - cosA)
D. 1/(sinA - cosA)
Answer» B. 1/(secA - tanA)
Discussion
699.

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

A. -1.5
B. 44230
C. −√3/2
D. √3/2
Answer» C. −√3/2
Discussion
700.

If Cosec θ = 25/7 , then what is the value of Cot θ?

A. 24/25
B. 45474
C. 45839
D. 44401
Answer» E.
Discussion