Explore topic-wise MCQs in UPSEE.

This section includes 1153 Mcqs, each offering curated multiple-choice questions to sharpen your UPSEE knowledge and support exam preparation. Choose a topic below to get started.

1101.

 If the longitude of Tokyo is 139°E and that of Manila is 121°E, what is the time difference between Tokyo and Manila?

A. 1 hour and 5 minutes
B. 1 hour and 8 minutes
C. 1 hour and 10 minutes
D. 1 hour and 12 minutes
Answer» D. 1 hour and 12 minutes
Discussion
1102.

 For Cosine Rule of any triangle ABC, a² is equal to

A. b² + a² - 2ac cos A
B. b² + c² - 2bc cos A
C. b² - c² + 3bc cos C
D. b³ + c³ - 2bc cos B
Answer» C. b² - c² + 3bc cos C
Discussion
1103.

 By expressing cos 113° in terms of trigonometrical ratios, answer will be

A. − cos 62° = -0.8520
B. − cos 65° = -0.4258
C. − cos 67° = -0.3907
D. − cos 76° = -0.7093
Answer» D. − cos 76° = -0.7093
Discussion
1104.

 By expressing sin 125° in terms of trigonometrical ratios, answer will be

A. sin 55° = 0.8192
B. sin 65° = 0.9128
C. sin 70° = 0.5384
D. sin 72° = 0.1982
Answer» B. sin 65° = 0.9128
Discussion
1105.

 By expressing sin 170° in terms of trigonometrical ratios, answer will be

A. sin 10° = 0.1631
B. sin 10° = 0.1736
C. sin 10° = 0.3761
D. sin 10° = 1.7362
Answer» C. sin 10° = 0.3761
Discussion
1106.

 Dimensions of plane includes

A. length only
B. breadth only
C. depth and length
D. breadth and length
Answer» E.
Discussion
1107.

 Csc 520° is equal to:

A. csc 20°
B. cos 20°
C. sin 20°
D. tan 45°
Answer» B. cos 20°
Discussion
1108.

 1 + cot²2θ =

A. sec²θ
B. csc²θ
C. csc²2θ
D. sec²2θ
Answer» B. csc²θ
Discussion
1109.

 Sec²θ-tan²θ =

A. 0
B. -1
C. 1
D. sec²2θ
Answer» B. -1
Discussion
1110.

 Csc²θ/2-cot²θ/2 =

A. 0
B. -1
C. 1
D. sec²2θ
Answer» C. 1
Discussion
1111.

 Cos²2θ =

A. 1 - sinθ
B. 1 - sin²2θ
C. 1 + sin²θ
D. 1 - sin²θ
Answer» D. 1 - sin²θ
Discussion
1112.

 If cos 55° and sin 55° = 0.8 each then answer of cos 125° + 5 sin 55° is

A. 0.8
B. 2.4
C. 2.8
D. 3.2
Answer» C. 2.8
Discussion
1113.

 Considering Cosine rule, cos C is equal to

A. a² - b² - c²⁄2bc
B. a² + b² - c²⁄2ab
C. 2a + 2b - 2c⁄2ac
D. 2a² + 2b² + 2c²⁄2abc
Answer» C. 2a + 2b - 2c⁄2ac
Discussion
1114.

 Formula for area of a triangle ABC is

A. 2ab sin C = 2bc sin A = 2ac sin B
B. 3/2ab sin C = 3/2bc sin A = 3/2ac sin B
C. 1/2ab sin C + 1/2bc sin A + 1/2ac sin B
D. 1/2ab sin C = 1/2bc sin A = 1/2ac sin B
Answer» E.
Discussion
1115.

 Considering 0° < x < 180°, angle of sin x = 0.2385 is

A. 13.80° , 166.20°
B. 14° , 150°
C. 18.02° , 165.02°
D. 21° , 170.32°
Answer» B. 14° , 150°
Discussion
1116.

 Cosine Rule is also known as

A. Cosine Area
B. Sine triangle
C. Cosine Triangle
D. Cosine Formula
Answer» E.
Discussion
1117.

 Considering Cosine rule, a² + c² - b²⁄2ac is equal to

A. cos A
B. cos C
C. cos B
D. cos D
Answer» D. cos D
Discussion
1118.

 Line which is perpendicular to line passing through intersection point is called

A. normal
B. angular
C. triangular
D. trigonometrical
Answer» B. angular
Discussion
1119.

 For any acute angle, sine A is equal to

A. sin (90° - A)
B. sin (180° - A)
C. sin (180° + A)
D. sin (2A - 180°)
Answer» C. sin (180° + A)
Discussion
1120.

 If cosine is 0.8 then value of acute angle is

A. 36.87°
B. 45°
C. 47.23°
D. 52.57°
Answer» B. 45°
Discussion
1121.

 Number of dimensions a line can have is

A. zero
B. one
C. infinite
D. negative
Answer» C. infinite
Discussion
1122.

 If cos 55° and sin 55° = 0.8 each then answer of 3 cos 125° + 5 sin 125° is

A. 0.6
B. 1.6
C. 2.3
D. 2.5
Answer» C. 2.3
Discussion
1123.

 For any acute angle, cosine A is equal to

A. cos (180° - A)
B. -cos (180° - A)
C. cos (180° + A)
D. -cos (180° + A)
Answer» C. cos (180° + A)
Discussion
1124.

 By expressing cos 82° in terms of trigonometrical ratios, answer will be

A. − cos 29° = -0.8746
B. − cos 38° = -0.7880
C. − cos 89° = -0.2319
D. − cos 98° = -0.1392
Answer» E.
Discussion
1125.

 Flat surface like blackboard is classified as

A. plane
B. vertex plane
C. triangular plane
D. trigonometrical plane
Answer» B. vertex plane
Discussion
1126.

 Number of dimensions a point can have is

A. zero
B. one
C. infinite
D. negative
Answer» E.
Discussion
1127.

 1 + tan²2θ =

A. sec²θ
B. csc²θ
C. csc²2θ
D. sec²2θ
Answer» E.
Discussion
1128.

 Considering 0° < x < 180°, angle of cos x = -0.8726 is

A. 150.76°
B. 160.72°
C. 165.82°
D. 167.35°
Answer» B. 160.72°
Discussion
1129.

 Dimensions of solid includes

A. length
B. breadth
C. height
D. all of the above
Answer» D. all of the above
Discussion
1130.

 If sine is 0.2586 then value of acute angle is

A. 14.99°
B. 16°
C. 17.98°
D. 18°
Answer» B. 16°
Discussion
1131.

 Considering Cosine rule, b² + c² - a²⁄2bc is equal to

A. cos A
B. cos B
C. cos C
D. cos D
Answer» B. cos B
Discussion
1132.

 Solve for G if csc (11G – 16 degrees) = sec (5G + 26 degrees)

A. 4 degrees
B. 5 degrees
C. 6 degrees
D. 7 degrees
Answer» C. 6 degrees
Discussion
1133.

 If sin x cos x + sin 2x = 1, what are the values of x?

A. 20.90°, 69.1°
B. -20.67°, 69.3°
C. 32.2°, 69.3°
D. -32.2°, 69.3°
Answer» B. -20.67°, 69.3°
Discussion
1134.

 Solve for x, if tan 3x = 5 tan x

A. 15.705°
B. 20.705°
C. 30.705°
D. 35.705°
Answer» C. 30.705°
Discussion
1135.

 If sin 3A = cos 6B, the

A. A + B = 0°
B. A + 2B = 30°
C. A + B = 180°
D. None of these
Answer» C. A + B = 180°
Discussion
1136.

 Solve for the θ in the following equation: Sin 2θ = cos θ

A. 15°
B. 30°
C. 45°
D. 60°
Answer» C. 45°
Discussion
1137.

 If sec 2A =1/sin13A, determine the angle A in degrees.

A. 3°
B. 5°
C. 6°
D. 7°
Answer» D. 7°
Discussion
1138.

 The sine of a certain angle is 0.6, calculate the cotangent of the angle.

A. 3/4
B. 4/3
C. 4/5
D. 5/4
Answer» C. 4/5
Discussion
1139.

 Find the value of sin (arc cos15/17)

A. 8/11
B. 8/15
C. 8/17
D. 8/19
Answer» D. 8/19
Discussion
1140.

 If cos 65° + cos 55° = cos θ, find θ in radians

A. 0.087
B. 0.765
C. 1.213
D. 1.421
Answer» B. 0.765
Discussion
1141.

 Find the value of A between 270° and 360° if sin^2 A – sin A = 1

A. 300°
B. 310°
C. 320°
D. 330°
Answer» E.
Discussion
1142.

Evaluate the expression cos^4 x - sin^4 x , given that cos^2 x - sin^2 x = 3 / 4

A. (3 / 5)
B. (3 / 4)
C. (6 / 111)
D. (1 / 126)
Answer» C. (6 / 111)
Discussion
1143.

&nbsp;The angle of elevation of a bird sitting on the top of a tree of height is 28 meter is 45 degree.Find the distance from the bottom of the tree

A. 26
B. 27
C. 28
D. 29
Answer» D. 29
Discussion
1144.

Evaluate: sin(20) cos(70)+sin(70) cos (20)&nbsp;

A. 0
B. -1
C. 1
D. cos(50)
Answer» B. -1
Discussion
1145.

Evaluate the expression cos^4 x - sin^4 x , given that cos^2 x - sin^2 x = 7 / 9

A. (7 / 11)
B. (7 / 9)
C. (7 / 121)
D. (7 / 131)
Answer» C. (7 / 121)
Discussion
1146.

&nbsp;Evaluate: sin(17) cos(73)+sin(73) cos (17)

A. 0
B. 1
C. sin(56)
D. cos(56)
Answer» C. sin(56)
Discussion
1147.

Evaluate the area of the triangle if a = 7, b = 12 and angle C = 90.

A. 44
B. 45
C. 46
D. 42
Answer» E.
Discussion
1148.

From the top of a building 40 meter high, the angle of depression of ball lying on the ground was observed to be 60 degree. Find the distance between the ball and foot of the building.

A. 69.2
B. 70.2
C. 68.2
D. 72.2
Answer» B. 70.2
Discussion
1149.

&nbsp;Evaluate the expression cos^4 x - sin^4 x , given that cos^2 x - sin^2 x = 9 / 11

A. (9 / 13)
B. (3 / 123)
C. (9 / 11)
D. (3 / 153)
Answer» E.
Discussion
1150.

Evaluate: sin(21) cos(69)+sin(69) cos (21) a

A. 1
B. -1
C. sin(48)
D. cos(48)
Answer» B. -1
Discussion