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Q:

What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25°  sin 20° sin 25° )]?

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

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Q:

What is the value of tanπ4+A×tan3π4+A ?

A) 1 B) 0
C) cot A/2 D) – 1
 
Answer & Explanation Answer: D) – 1

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Q:

What is the value of [(cos32θ + 3 cos 2θ)÷(cos6θ  sin6θ)]?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: D) 4

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Q:

In the given figure, ABCDEF is a regular hexagon of side 12 cm. P, Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in sq.cm) of triangle PQR?

A) 27√6 B) 81√3
C) 54√3 D) 54√6
 
Answer & Explanation Answer: B) 81√3

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Q:

A = (x8  1)/(x4 + 1) and B = (y4  1)/(y2 + 1). If x = 2 and y = 9, then what is the value ofA2 + 2AB + AB2?

A) 96475 B) 98625
C) 92425 D) 89125
 
Answer & Explanation Answer: B) 98625

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Q:

If x + y = 3, then what is the value of x3 + y3 + 9xy?

A) 15 B) 81
C) 27 D) 9
 
Answer & Explanation Answer: C) 27

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Q:

If x2  4x + 1 = 0, then what is the value of x9 + x7  194x5  194x3?

A) 4 B) – 4
C) 1 D) – 1
 
Answer & Explanation Answer: B) – 4

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Q:

If [a + (1/a)]2  2[a  (1/a)] = 12, then which of the following is a value of 'a'?

A) – 8 + √3 B) – 8 – √3
C) – 8 + √5 D) None of these
 
Answer & Explanation Answer: D) None of these

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