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Q:

If $x^{2} + \frac{1}{x^{2}} = 98, then x^{3} + \frac{1}{x^{3}} = ?$

A) 970	B) 1030
C) -970	D) -1030

Answer & Explanation Answer: A) 970

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum circle and the incircle of the triangle is (use: π = 22/7)

A) 50 1/7 sq.cm	B) 50 2/7 sq.cm
C) 75 1/7 sq.cm	D) 75 2/7 sq.cm

Answer & Explanation Answer: B) 50 2/7 sq.cm

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Filed Under: Area
Exam Prep: Bank Exams

Q:

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

A) 20	B) 10
C) 4√5	D) 10√2

Answer & Explanation Answer: A) 20

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Filed Under: Area
Exam Prep: Bank Exams

Q:

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

A) 3:1	B) 1:3
C) 7:3	D) 3:7

Answer & Explanation Answer: C) 7:3

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

Q:

The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : √5 = 2.23 and π = 22/7 ]

A) 1.42 litres	B) 1.53 litres
C) 1.71 litres	D) 1.82 litres

Answer & Explanation Answer: B) 1.53 litres

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

Q:

The cost of levelling a circular field at 50 Paise per square metre is Rs 7700. The cost (in Rs) of putting up a fence all round it at Rs 1.20 per meter is ( Use π = 22/7)

A) Rs 132	B) Rs 264
C) Rs 528	D) Rs 1056

Answer & Explanation Answer: C) Rs 528

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Filed Under: Area
Exam Prep: Bank Exams

Q:

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is

A) 27:20	B) 20:27
C) 4:9	D) 9:4

Answer & Explanation Answer: B) 20:27

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

Q:

Rs 260200 is divided between Ram and Shyam so that the amount that Ram receives in 3 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram's share is

A) 125000	B) 135200
C) 152000	D) 108200

Answer & Explanation Answer: B) 135200

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Filed Under: Compound Interest
Exam Prep: Bank Exams

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