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Q:

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

A) 6√3	B) 8√3
C) 9	D) 9√3

Answer & Explanation Answer: D) 9√3

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

Q:

If a chord of a circle subtends an angle of 30° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

A) 1 : 1	B) 2 : 1
C) 3 : 1	D) √2 : 1

Answer & Explanation Answer: A) 1 : 1

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

Q:

In a triangle PQR, ∠Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?

A) 5	B) 6
C) 6.5	D) 6√2

Answer & Explanation Answer: C) 6.5

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $x = \frac{4 \sqrt{ab}}{\sqrt{a} + \sqrt{b}}$ , then what is the value of $\frac{x + 2 \sqrt{a}}{x - 2 \sqrt{a}} + \frac{x + 2 \sqrt{b}}{x - 2 \sqrt{b}}$ ?

A) 0	B) 2
C) 4	D) 1

Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of $x^{3} + y^{3} + z^{3}$ ?

A) 104	B) 144
C) 196	D) 288

Answer & Explanation Answer: D) 288

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $\frac{\sqrt{5 + x} + \sqrt{5 - x}}{\sqrt{5 + x} - \sqrt{5 - x}} = 3$ ,then what is the value of x ?

A) 5/2	B) 25/3
C) 4	D) 3

Answer & Explanation Answer: D) 3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

For what value of k, the expression $x^{6} - 18 x^{3} + k$ will be a perfect square?

A) -9	B) 81
C) 9	D) -81

Answer & Explanation Answer: B) 81

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Simple Interest received by a person in 10 years on a principal of Rs 9500 is 130% of the principal. What is the rate of interest (in %) per annum?

A) 12	B) 13
C) 15	D) 19

Answer & Explanation Answer: B) 13

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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