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Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5 : 4. After he lost 5 red marbles the ratio became 10 : 9. How many marbles does he have now?

A) 81	B) 86
C) 76	D) 91

A) 81

B) 86

C) 76

D) 91

Answer & Explanation Answer: C) 76

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

What is the value of $[2 \cot \times (p - A) / 2] / [1 + \tan^{2} \times (2 p - A) / 2]$ ?

A) 2 sin2 A/2	B) cos A
C) sin A	D) 2 cos2 A/2

A) 2 sin2 A/2

B) cos A

C) sin A

D) 2 cos2 A/2

Answer & Explanation Answer: C) sin A

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of $(32 \cos^{6} x - 48 \cos^{4} x + 18 \cos^{2} x - 1) / [4 \sin x \cos x \sin (60 - x) \cos (60 - x) \sin (60 + x) \cos (60 + x)]$ ?

A) 4 tan 6x	B) 4 cot 6x
C) 8 cot 6x	D) 8 tan 6x

A) 4 tan 6x

B) 4 cot 6x

C) 8 cot 6x

D) 8 tan 6x

Answer & Explanation Answer: C) 8 cot 6x

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Filed Under: Simplification
Exam Prep: Bank Exams

What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?

A) 2	B) 4
C) 3	D) 6

A) 2

B) 4

C) 3

D) 6

Answer & Explanation Answer: B) 4

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

In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ?