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Q:

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

A) 60(√3+1) m	B) 30(√3-1) m
C) 30(√3+1) m	D) 60(√3-1) m

Answer & Explanation Answer: C) 30(√3+1) m

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Filed Under: Simplification
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Q:

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

A) 230.63 m/sec	B) 230.93 m/sec
C) 235.85 m/sec	D) 236.25 m/sec

Answer & Explanation Answer: B) 230.93 m/sec

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Filed Under: Simplification
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Q:

The value of $8 (\sin^{6} θ + \cos^{6} θ) - 12 (\sin^{4} θ + \cos^{4} θ)$ is equal to

A) 20	B) -20
C) 4	D) -4

Answer & Explanation Answer: D) -4

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Q:

If $\tan^{4} θ + \tan^{2} θ = 1$ then the value of $\cos^{4} θ + \cos^{2} θ$ is

A) 2	B) 0
C) 1	D) -1

Answer & Explanation Answer: C) 1

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Q:

If $a^{2} \sec^{2} x - b^{2} \tan^{2} x = c^{2}$ then the value of $\sec^{2} x + \tan^{2} x$ is equal to (assume b2 ≠ a2 )

A) b2-a2+2c2b2+a2	B) b2+a2-2c2b2-a2
C) b2-a2-2c2b2+a2	D) b2-a2b2+a2+2c2

Answer & Explanation Answer: B) b2+a2-2c2b2-a2

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Q:

If x tan 60° + cos 45° = sec 45° then the value of $x^{2} + 1$ is

A) 6/7	B) 7/6
C) 5/6	D) 6/5

Answer & Explanation Answer: B) 7/6

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Q:

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

A) 50°	B) 60°
C) 80°	D) 120°

Answer & Explanation Answer: C) 80°

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

A) 30°	B) 45°
C) 60°	D) 90°

Answer & Explanation Answer: C) 60°

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Filed Under: Simplification
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