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.

51.

What is the value of (tan45- 1/√2) ?_x005F_x000D_  _x005F_x000D_

A.
B. (2√2-1)/√2
C. (2√2-√3)/2
D. (√2-1)/√2
Answer» E.
Discussion
52.

What is the value of tan3A?

A. (3tanA -­ tan3A)/(1 -­ 3tan2A)
B. (3tanA + tan3A)/(1 + 3tan2A)
C. (3tanA -­ tan3A)/(1 + 3tan2A)
D. (3tanA + tan3A)/(1-­ 3tan2A)
Answer» B. (3tanA + tan3A)/(1 + 3tan2A)
Discussion
53.

What is the value of (tan30 + √3/2) ?_x005F_x000D_

A. (4+√3)/2_x005F_x000D_
B. 5/2√3_x005F_x000D_
C. (4+√3)/2√3_x005F_x000D_
D. (√3+1)/√3
Answer» C. (4+√3)/2√3_x005F_x000D_
Discussion
54.

What is the value of (tan30° - √3/2) ?

A. -1/2√3
B. (2√3-√6)/2√2
C. (2-√3)/2
D. 44348
Answer» B. (2√3-√6)/2√2
Discussion
55.

What is the value of tan150°?

A.
B. 1/√3
C. √3
D.
Answer» E.
Discussion
56.

What is the value of tan­ -240°?

A.
B. 1/√3
C.
D. √3
Answer» B. 1/√3
Discussion
57.

What is the value of tan 7Ï€/6?

A. 1/√3
B.
C. √3
D.
Answer» B.
Discussion
58.

What is the value of tan 7Ï€/4?

A. √3
B. -0.5
C. √3/2
D. -1
Answer» E.
Discussion
59.

What is the value of Tan 60 + Cosec 60?

A. 44260
B. 2/√3
C. 5/√3
D. 44257
Answer» D. 44257
Discussion
60.

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

A. 44228
B. 1/√2
C. 1
D. 44256
Answer» D. 44256
Discussion
61.

What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?

A. sin 2θ
B. cos 2θ
C. tan 4θ
D. cot 2θ
Answer» C. tan 4θ
Discussion
62.

What is the value of Tan 45° + 4/√3 Sec 60°?

A. (√3 + 8)/√3
B. (√3 + 8)/3
C. (√3 - 8)/√3
D. (√3 - 8)/3
Answer» B. (√3 + 8)/3
Discussion
63.

What is the value of tan 4Ï€/3?

A. ­1/2
B. √3
C. √3/2
D. ­1/√2
Answer» C. √3/2
Discussion
64.

What is the value of Tan 45° - 1/√3 Sec 60°?

A. (1 - 2√3)/2
B. (√2 - √3)/√6
C. (3 - 2√3)/3
D. (1 - 2√2)/2
Answer» D. (1 - 2√2)/2
Discussion
65.

What is the value of tan 300°?

A. -0.5
B.
C.
D.
Answer» D.
Discussion
66.

What is the value of sinAtanA/(1 - cosA)?

A. 1 - secA
B. 1 + secA
C. 1 + cotA
D. 1 - cotA
Answer» C. 1 + cotA
Discussion
67.

What is the value of (sin60° + 2/√3) ?

A. (2√3+1)/√3
B. 7/2√3
C. 3
D. 2+√3
Answer» C. 3
Discussion
68.

What is the value of (sin45 - √3) ?_x005F_x000D_

A. (1-√6)/√2_x005F_x000D_
B. (4-√3)/2√3_x005F_x000D_
C. -1/2√3_x005F_x000D_
D. (2-√3)/2√3
Answer» B. (4-√3)/2√3_x005F_x000D_
Discussion
69.

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

A. 0
B. tan2x
C. 1
D. 2 tan x
Answer» C. 1
Discussion
70.

What is the value of (sin30° + 1/3) ?_x005F_x000D_

A. (2√2+√3)/2
B. (√6+1)/√3
C. 7/3_x005F_x000D_
D. 44352
Answer» E.
Discussion
71.

What is the value of sin(11Ï€/6)?

A. 2/√3
B.
C. -0.5
D. 44228
Answer» D. 44228
Discussion
72.

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

A. cos x sin y
B. (sin y)/(sin x)
C. sin z
D. sin x tan y
Answer» C. sin z
Discussion
73.

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

A. 0
B. 1
C. – 1
D. 2
Answer» C. – 1
Discussion
74.

What is the value of sin ­-300°?

A. 1
B. √3/2
C. ­1/2
D. √3/2
Answer» E.
Discussion
75.

What is the value of sin (–π/3) + cos(–π/6)?

A. 0
B. 1
C. 2
D. 3
Answer» B. 1
Discussion
76.

What is the value of sin (B – C) cos (A – D) + sin (A – B) cos (C – D) + sin (C – A) cos (B – D)?

A. 44230
B. – 3
C. 1
D. 0
Answer» E.
Discussion
77.

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

A.
B.
C. cos x
D. tan y
Answer» B.
Discussion
78.

What is the value of [sin (90 – A) + cos (180 – 2A)]/[cos (90 – 2A) + sin (180 – A)]?

A. sin (A/2) cos A
B. cot (A/2)
C. tan (A/2)
D. sin A cos (A/2)
Answer» D. sin A cos (A/2)
Discussion
79.

What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?

A. tan 2θ
B. cot 2θ
C. cot θ
D. cot 3θ
Answer» C. cot θ
Discussion
80.

What is the value of Sin 60° + (1/2)Cosec 45°?

A. (√3 + 2)/2
B. (√3 + √2)/√2
C. (√3 + 2)/√2
D. (√3 + √2)/2
Answer» E.
Discussion
81.

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

A. 1
B. 2 tan x
C. tan 2 x
D. tan (3 x/2)
Answer» C. tan 2 x
Discussion
82.

What is the value of sin (630 + A) + cos A?

A. √3/2
B. 44228
C. 0
D. 2/√3
Answer» D. 2/√3
Discussion
83.

What is the value of sin 300°?

A. -0.5
B. 2
C. 2/√3
D.
Answer» E.
Discussion
84.

What is the value of sin 330°?

A. 2
B. 2/√3
C. √2
D. -0.5
Answer» E.
Discussion
85.

What is the value of sin 5Ï€/3?

A. √3/2
B. 2/√3
C. 1/√3
D.
Answer» B. 2/√3
Discussion
86.

What is the value of {(sin 4x + sin 4y) [(tan 2x – 2y)]}/(sin 4x – sin 4y)?

A. tan 2 (2x + 2y)
B. tan2
C. cot (x – y)
D. tan (2x + 2y)
Answer» E.
Discussion
87.

What is the value of sin 46 cos 44+ cos 46 sin 44?

A. 2
B. sin 2
C. 1
D. 0
Answer» D. 0
Discussion
88.

What is the value of Sin 30- √2 Cos 30

A. (1 - √6)/√2
B. (1 - √6)/2
C. (3 - √6)/2
D. (3 - √6)/√2
Answer» C. (3 - √6)/2
Discussion
89.

What is the value of Sin 30° - Cosec 45°?

A. (2√6 - 1)/√3
B. (1 - 2√3)/2
C. (√2 - √3)/√6
D. (1 - 2√2)/2
Answer» E.
Discussion
90.

What is the value of Sin 30° + Cos 30°?

A. (√6 + 1)/√3
B. (√3 + 2)/√3
C. (1 + √3)/2
D. 5/√3
Answer» D. 5/√3
Discussion
91.

What is the value of (sec45 + 1/√3) ?_x005F_x000D_

A. (2+√3)/2√3
B. (2+2√3)/√3
C. (2+2√3)/3
D. (√6+1)/√3
Answer» E.
Discussion
92.

What is the value of sec 5Ï€/4?

A. 1/√3
B.
C. √3
D. 1
Answer» C. √3
Discussion
93.

What is the value of sec 4Ï€/3?

A. 2
B. -2
C. 2/√3
D.
Answer» C. 2/√3
Discussion
94.

What is the value of Sec 30° + Tan 60°?

A. 5/√3
B. (√6 + 1)/√3
C. (√3 + 2)/√3
D. (1 + √3)/2
Answer» B. (√6 + 1)/√3
Discussion
95.

What is the value of sec 330°?

A. 2
B.
C. -2
D. ­2/√3
Answer» E.
Discussion
96.

What is the value of sec 30° + cot 30°?

A. (√6­-1)/√2
B. √3+2
C. 5/√3
D. (√3­-2√2)/√6
Answer» D. (√3­-2√2)/√6
Discussion
97.

What is the value of sec -2Ï€/3 ?

A. -2
B. 2
C. 2/√3
D.
Answer» B. 2
Discussion
98.

What is the value of [(√529) + (√5.29) + (√0.0529)]?_x005F_x000D_

A. 25.323_x005F_x000D_
B. 25.53_x005F_x000D_
C. 23.253_x005F_x000D_
D. 23.53
Answer» C. 23.253_x005F_x000D_
Discussion
99.

What is the value of (√3 - sec60) ?

A. √3-2
B. (1-√6)/√2
C. (2√3-√6)/2√2
D. (1-3√2)/3
Answer» B. (1-√6)/√2
Discussion
100.

What is the value of √2 Sec 45 - Tan 30?

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