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.

151.

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

A. (√6 + 1)/√3
B. √3
C. (1 + 3√2)/√3
D. (3 + 2√2)/3√2
Answer» E.
152.

What is the value of 1/√2 Cot 30° + 1/√3 Cosec 60°?

A. (3√3 + 2√2)/3√2
B. (3√3 - 2√2)/3√2
C. (3√3 + 2√2)/√2
D. (3√3 - 2√2)/√2
Answer» B. (3√3 - 2√2)/3√2
153.

What is the value of [1 – tan (90 – θ) + sec (90 – θ)]/[tan (90 – θ) + sec (90 – θ) + 1]?

A. cot (θ/2)
B. tan (θ/2)
C. sin θ
D. cos θ
Answer» C. sin θ
154.

What is the value of [1 – sin (90 – 2A)] / [1 + sin (90 + 2A)]?

A. sinA cosA
B. cot2A
C. tan2A
D. sin2A cosA
Answer» D. sin2A cosA
155.

What is the value of ( 1/√3 + cot60) ?

A. 3√3/2
B. 7/2√3
C. (4+√3)/2√3
D. 2/√3
Answer» E.
156.

What is the value of ( 1/3 ­- cot60°) ?

A. (2­-√3)/2√3
B. (√2-­1)/√2
C. (1­-√3)/3
D. (√3­-4)/2√3
Answer» D. (√3­-4)/2√3
157.

What is the value of ( 1/3 + cosec30)?

A. (√6+1)/√3
B. 44262
C. (4+√3)/2
D. (√3+1)/2
Answer» C. (4+√3)/2
158.

What is the value of ( 1/3 - cosec30°) ?

A. (√6-1)/√3
B. -0.5
C. -1.6666666666667
D. 44230
Answer» D. 44230
159.

What is the value of ( 1/2 - cot45) ?

A. (2√2-√3)/2
B. 44230
C. (3√3-1)/3
D. -0.5
Answer» E.
160.

What is the value of ( 1/2 - sec30) ?_x005F_x000D_

A. (√3-1)/2_x005F_x000D_
B. (2-√3)/√3_x005F_x000D_
C. (1-√6)/√2_x005F_x000D_
D. (√3-4)/2√3
Answer» E.
161.

What is the value of (1/2) Sec 30° + √2 Tan 60°?

A. (1 + 3√2)/√3
B. (√3 + 2)/√3
C. √3 + 2
D. (√3 + 2)/2
Answer» B. (√3 + 2)/√3
162.

What is the value of 0.55 x 4.5/0.81 ?

A. 3.555
B. 55/18
C. 3.05
D. 55/81
Answer» C. 3.05
163.

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

A. 67
B. 45
C. -30
D. -48
Answer» D. -48
164.

What is the total number of points in the plane of triangle ABC which is equidistant from the vertices of the triangle?

A. 0
B. 1
C. 2
D. 3
Answer» C. 2
165.

What is the square root of (√5 + 2)/(√5 – 2)?_x005F_x000D_

A. √5 – √4_x005F_x000D_
B. √5 + 2_x005F_x000D_
C. 5 + √2_x005F_x000D_
D. 7
Answer» C. 5 + √2_x005F_x000D_
166.

What is the square root of 5041?

A. 79
B. 81
C. 71
D. 69
Answer» D. 69
167.

What is the square root of (3 – 2√2)/(3 + 2√2)?_x005F_x000D_

A. 3 – 2√2_x005F_x000D_
B. 3 + 2√2_x005F_x000D_
C. 1_x005F_x000D_
D. 17
Answer» B. 3 + 2√2_x005F_x000D_
168.

What is the smplified value of Sin2A/1+Cos2A ?

A. tan A
B. cot A
C. sin A
D. cos A
Answer» B. cot A
169.

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

A. 5
B. 44319
C. 44260
D. 44317
Answer» B. 44319
170.

What is the slope of the line perpendicular to the line passing through the points (-2, 3) and (2, 0)?

A. 44259
B. 44289
C. -0.75
D. -1.3333333333333
Answer» B. 44289
171.

What is the slope of the line, perpendicular to the line 3x - 6y = 4?

A. -2
B. 2
C. 44257
D. -0.66666666666667
Answer» B. 2
172.

What is the slope of the line parallel to the line passing through the points (-­4,­-6) and (2,­-3)?

A. -0.5
B. -2
C. 2
D. 44228
Answer» E.
173.

What is the slope of the line, parallel to the line 3x -­ 6y = 4?

A. -0.5
B. 44228
C. 2
D.
Answer» C. 2
174.

What is the slope of the line 4x - 8y = 3?

A. -0.5
B. 2
C. 44228
D. -2
Answer» D. -2
175.

What is the slope of the line 2x - 5y = 12?

A. 44318
B. 44232
C. -0.4
D. -2.5
Answer» B. 44232
176.

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

A. 1
B. -1
C. 0
D. 2
Answer» C. 0
177.

What is the simplified value of (sec A + cos A)(sec A – cos A)?

A. 2 tan2A
B. 2 sin2 A
C. sin2 A tan2 A
D. sin2A + tan2 A
Answer» E.
178.

What is the simplified value of 5 + 45 - 4 + 5 - 45 + 4 ?_x005F_x000D_

A. 9
B. 10
C. 18
D. 20
Answer» D. 20
179.

What is the simplified value of _x005F_x000D_ 125 - 24 - 124-23+123 - 22 - 122 - 21+ 121 - 20 ?

A. 5 + 2√5
B. 5 – 5√2
C. √25 + √21
D. √25 – 4
Answer» B. 5 – 5√2
180.

What is the simplified value of _x005F_x000D_ 117-16-116-15+115-14-114-13+113-12 ?

A. 4 – 2√3
B. √17 – 3√2
C. √17 + √12
D. 4 + 2√3
Answer» D. 4 + 2√3
181.

What is the simplified value of (cosec A – sin A)(sec A – cos A)(tan A + cot A)?

A. -1
B.
C. 1
D. 2
Answer» D. 2
182.

What is the simplified value of cosec 2A + cot 2A?

A. sec A
B. sec (A/2)
C. cot A
D. cot2 A
Answer» D. cot2 A
183.

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

A. sin2A – cos2A
B. sin3A + cos3A
C. 0
D. 1
Answer» C. 0
184.

What is the simplified value of [2/(cot A – tan A)]?

A. sin A cos A
B. tan 2A
C. sin2 A
D. cos2 A
Answer» C. sin2 A
185.

What is the remainder when we divide 570 - 770 by 24?_x005F_x000D_

A. 5
B.
C. 7
D. 1
Answer» C. 7
186.

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

A. cosA
B. tanA
C. cotA
D. sinA
Answer» E.
187.

What is the reflection of the point (6, -1) in the line y = 2?

A. (-2 , -1)
B. (-6 , 5)
C. (-2 , 1)
D. (6 , 5)
Answer» E.
188.

What is the reflection of the point (5, -2) in the line y = -1?

A. (-7 , -2)
B. (-5 , 0)
C. (5 , 0)
D. (-7 , 2)
Answer» D. (-7 , 2)
189.

What is the reflection of the point (5, 2) in the line x = -3?

A. (-11 ,2)
B. (-11 ,-2)
C. (11 ,-2)
D. (11 ,2)
Answer» B. (-11 ,-2)
190.

What is the reflection of the point (5, -2) in the line x = -1?

A. (-7 , -2)
B. (5 , 0)
C. (7 , -2)
D. (5 , 2)
Answer» B. (5 , 0)
191.

What is the reflection of the point (4, 7) in the line y = -1?

A. (-6 , 7)
B. (-4 , -9)
C. (4 , -9)
D. (-6 , -7)
Answer» D. (-6 , -7)
192.

What is the reflection of the point (4 , -3) in the line y = 1?

A. (4, -5)
B. (4, 5)
C. (-4, -5)
D. (-4, 5)
Answer» C. (-4, -5)
193.

What is the reflection of the point (2, 3) in the line y = 4?

A. (2, 5)
B. (2, -5)
C. (-2, -5)
D. (-2, 5)
Answer» B. (2, -5)
194.

What is the reflection of the point (3,-5) in the origin?

A. (-3, -5)
B. (5,-3)
C. (-5,-3)
D. (-3, 5)
Answer» E.
195.

What is the reflection of the point (-1 , 5) in the line x = 1?

A. (3 , -5)
B. (-3 , -5)
C. (3 , 5)
D. (-3 , 5)
Answer» D. (-3 , 5)
196.

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?

A. 4x -­ 4y = 3
B. 4x - 4y = -­3
C. 3x -­ 3y = 4
D. 3x ­- 3y = -­4
Answer» B. 4x - 4y = -­3
197.

What is the reflection of the point (-1 , 3) in the line x = -4?

A. (-7 ,-3)
B. (-7 ,3)
C. (7 ,-3)
D. (7 ,3)
Answer» C. (7 ,-3)
198.

What is the positive square root of [25 + 4√39]?_x005F_x000D_

A. √13 + 2√3_x005F_x000D_
B. √13 + 3√2_x005F_x000D_
C. √11 + 2√3
D. 11 + 3√2_x005F_x000D_
Answer» B. √13 + 3√2_x005F_x000D_
199.

What is the perimeter of the sector whose central angle is 60° and radius of the circle is 21 cm?

A. 128 cm
B. 96 cm
C. 64 cm
D. 32 cm
Answer» D. 32 cm
200.

What is the equation of the line whose y­-intercept is 4 and making an angle of 45° with the positive x-­axis?

A. x + y = -­4
B. x -­ y = 4
C. x + y = 4
D. x -­ y = ­-4
Answer» E.