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Q:

The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by

A) 20%	B) 20.5%
C) 62%	D) 72.8%

Answer & Explanation Answer: D) 72.8%

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

Q:

Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30 ̊ and 45 ̊ respectively. If the height of the tower is 50 m, the distance between the two men is (Take √3 = 1.73)

A) 136.5 m	B) 50 √3 m
C) 100 √3 m	D) 135.5 m

Answer & Explanation Answer: A) 136.5 m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is

A) 3 cm	B) 6 cm
C) 12 cm	D) 4.5 cm

Answer & Explanation Answer: B) 6 cm

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

Q:

Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is

A) 7.5 cm	B) 9 cm
C) 8 cm	D) 10 cm

Answer & Explanation Answer: B) 9 cm

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

Q:

If $x = 3^{\frac{1}{3}} - 3^{\frac{- 1}{3}}$ , then $3 x^{2} + 9 x$ is equal to

A) 5	B) 6
C) 7	D) 8

Answer & Explanation Answer: D) 8

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If x = 222, y = 223, z = 225 then the value of $x^{3} + y^{3} + z^{3} - 3 xyz$ is

A) 4590	B) 4690
C) 4950	D) 4960

Answer & Explanation Answer: B) 4690

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The average of 9 observations was found to be 35. Later on, it was detected that an observation 81 was misread as 18. The correct average of the observations is

A) 28	B) 42
C) 35	D) 45

Answer & Explanation Answer: B) 42

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Filed Under: Average
Exam Prep: Bank Exams

Q:

If $C + \frac{1}{C} = \sqrt{3}$ , then what is the value of $C^{3} + \frac{1}{C^{3}} = ?$

A) 0	B) 3√3
C) 1/√3	D) 6√3

Answer & Explanation Answer: A) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

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