Exams Questions and Answers

Q:

If a = 73, b = 74 and c = 75, then what is the value of $a^{3} + b^{3} + c^{3} - 3 abc$ ?

A) 365	B) 444
C) 666	D) 999

Answer & Explanation Answer: C) 666

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1219

Q:

For $x = \frac{4 \sqrt{6}}{\sqrt{2} + \sqrt{3}}, what is the value of \frac{x + 2 \sqrt{2}}{x - 2 \sqrt{2}} + \frac{x + 2 \sqrt{3}}{x - 2 \sqrt{3}}$

A) 1	B) √2
C) √3	D) 2

Answer & Explanation Answer: D) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm	B) 216 sq.cm
C) 144 sq.cm	D) Cannot be determined due to insufficient data

Answer & Explanation Answer: A) 288 sq.cm

Explanation:

Let lengths, breadth and height of cuboid be l, b and h respectively

According to question

l+b+h = 22cm......(i)

and

√(l^2+b^2+h^2) = 14cm .....(ii)

Surface area of cuboid = 2(lb+bh+lh)

Squaring eq (i) gives

l^{2} + b^{2} + h^{2}

+ 2(lb+bh+lh) = 484

Substituting l^2+b^2+h^2 from eq (i)

2(lb+bh+lh) = 484 -196 = 288 sq.cm

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

0 1218

Q:

English is the official language of _________.

A) Chandigarh	B) Dadra and Nagar Haveli
C) Daman and Diu	D) Delhi

Answer & Explanation Answer: A) Chandigarh

Explanation:

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Filed Under: General Awareness
Exam Prep: Bank Exams , CAT

0 1218

Q:

Selling price of a table is Rs 2808. If profit percentage is 17%, then what is the cost price (in Rs) of table?

A) 2288	B) 2300
C) 2400	D) 3285

Answer & Explanation Answer: C) 2400

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams , CAT

2 1218

Q:

A number is greater than five times its reciprocal by 19/2. Find the number.

A) 11	B) 9
C) 10	D) 8

Answer & Explanation Answer: C) 10

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

2 1218

Q:

PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

A) 8 – 4√2	B) 16 + 8√2
C) 16√2 – √16	D) 16 – 8√2

Answer & Explanation Answer: C) 16√2 – √16

Explanation:

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

0 1218

Q:

The sum of the ages of husband and wife at present is 56. Ten years ago the product of their ages was 320. What is the age of the husband and the wife?

A) 28, 28	B) 32, 24
C) 30, 26	D) 29, 27

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