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Q:

An arc of 30° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its centre is

A) 3°	B) 4°
C) 5°	D) 6°

Answer & Explanation Answer: C) 5°

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

Q:

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is

A) 19 cm	B) 21 cm
C) 23 cm	D) 25 cm

Answer & Explanation Answer: A) 19 cm

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

Q:

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45° and 60°, then the width of the river is

A) (200 + 200/√3) m	B) (200 - 200/√3) m
C) 400 √3 m	D) (400/√3) m

Answer & Explanation Answer: B) (200 - 200/√3) m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

AB is the diameter of a circle with center O and P be a point on its circumference. If $∡$ POA = 120°, then the value of $∡$ PBO is

A) 30°	B) 60°
C) 50°	D) 40°

Answer & Explanation Answer: B) 60°

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Which of the set of three sides can't form a triangle?

A) 5 cm, 6 cm, 7 cm	B) 5 cm, 8 cm, 15 cm
C) 8 cm, 15 cm, 18 cm	D) 6 cm, 7 cm, 11 cm

Answer & Explanation Answer: B) 5 cm, 8 cm, 15 cm

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

Q:

If $x = \sqrt[2]{x^{2} + 11} - 2, then x^{3} + 5 x^{2} + 12 x$ is

A) 0	B) 3
C) 7	D) 11

Answer & Explanation Answer: B) 3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $x = \sqrt{a} + \frac{1}{\sqrt{a}}, y = \sqrt{a} - \frac{1}{\sqrt{a}}, (a > 0),$ then the value of $x^{4} + y^{4} - 2 x^{2} y^{2}$ is

A) 16	B) 20
C) 10	D) 5

Answer & Explanation Answer: A) 16

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If tan (5x - 10°) = cot (5y + 20°), then the value of x + y is

A) 15°	B) 16°
C) 22.5°	D) 24°

Answer & Explanation Answer: B) 16°

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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