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What is the value of $[(\cos^{3} 2 θ + 3 \cos 2 θ) \div (\cos^{6} θ - \sin^{6} θ)]$ ?

A) 0	B) 1
C) 2	D) 4

A) 0

B) 1

C) 2

D) 4

Answer & Explanation Answer: D) 4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

A) 1	B) 2 tan x
C) tan 2 x	D) tan (3 x/2)

A) 1

B) 2 tan x

C) tan 2 x

D) tan (3 x/2)

Answer & Explanation Answer: B) 2 tan x

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Filed Under: Simplification
Exam Prep: Bank Exams

A regular square pyramid has side of its base 20 cm and height 45 cm is melted and recast into regular triangular pyramids of equilateral base of side 10 cm and height 10√3 cm. What are the total numbers of regular triangular pyramid?

A) 24	B) 20
C) 27	D) 28

A) 24

B) 20

C) 27

D) 28

Answer & Explanation Answer: A) 24

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

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

A) 5	B) 6
C) 15	D) 7.5

A) 5

B) 6

C) 15

D) 7.5

Answer & Explanation Answer: D) 7.5

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

A man is running at the speed of 20 km/hr. What is time (in seconds) taken by man to cover one round of a circular garden of radius 350 metres?

A) 412	B) 336
C) 396	D) 376

A) 412

B) 336

C) 396

D) 376

Answer & Explanation Answer: C) 396

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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?