Q:

What is the difference between the total sale of English newspapers and the total sale of Hindi newspapers in all the localities together.

A) 7500 B) 5600
C) 6500 D) 5700
 
Answer & Explanation Answer: C) 6500

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Q:

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

A) h(cotβ-cotα)cos(α+β) B) h(cotα - cotβ)
C) h(tanβ - tanα)tanα tanβ D) h(cotα+cotβ)
 
Answer & Explanation Answer: D) h(cotα+cotβ)

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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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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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Q:

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

A) 20 B) -20
C) 4 D) -4
 
Answer & Explanation Answer: D) -4

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Q:

If tan4θ + tan2θ = 1 then the value of cos4θ + cos2θ is

A) 2 B) 0
C) 1 D) -1
 
Answer & Explanation Answer: C) 1

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Q:

(1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

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Q:

If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x 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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