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Q:

What is the value of cos [(180 – θ)/2] cos [(180 – 9θ)/2] + sin [(180 – 3θ)/2] sin [(180 – 13θ)/2]?

A) sin 2θ sin 4θ	B) cos 2θ cos 6θ
C) sin 2θ sin 6θ	D) cos 2θ cos 4θ

Answer & Explanation Answer: B) cos 2θ cos 6θ

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in sq.cm) of the pyramid?

A) 48[(√3) + 1]	B) 24[4 + (√3)]
C) 28[6 + (√3)]	D) 32[3 + (√3)]

Answer & Explanation Answer: D) 32[3 + (√3)]

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

Q:

A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Heoght of small cylinder is 5 cm. What is the total surface area of the remaining part?

A) 3740	B) 3432
C) 3124	D) 2816

Answer & Explanation Answer: B) 3432

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

Q:

In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm, BR = 4 cm, PB = 6 cm, PA = 5 cm and AD = 3 cm. What is the area in sq.cm of the quadrilateral ABCD?

A) (23√21)/4	B) (15√21)/4
C) (17√21)/5	D) (23√21)/5

Answer & Explanation Answer: C) (17√21)/5

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Filed Under: Area
Exam Prep: Bank Exams

Q:

x, y and z are real numbers. If $x^{3} + y^{3} + z^{3} = 13, x + y + z = 1$ and xyz = 1, then what is the value of xy + yz + zx?

A) -1	B) 1
C) 3	D) -3

Answer & Explanation Answer: D) -3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the unit digit of ${(217)}^{413} \times {(819)}^{547} \times {(414)}^{624} \times {(342)}^{812} ?$

A) 2	B) 4
C) 6	D) 8

Answer & Explanation Answer: D) 8

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

Refer the below data table and answer the following question.

What is the average bonus (in Rs.) ?

A) 478000	B) 246667
C) 341429	D) 218000

Answer & Explanation Answer: C) 341429

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Filed Under: Table Charts
Exam Prep: Bank Exams

Q:

A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: A) 1

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Filed Under: Paper Folding
Exam Prep: Bank Exams

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