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Q:

129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is

A) 50√3 metre	B) 45√3 metre
C) 43√3 metre	D) 47√3 metre

Answer & Explanation Answer: C) 43√3 metre

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

In an isosceles ΔABC, AD is the median to the unequal side meeting BC at D. DP is the angle disector of ∠ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of ∠PDQ is

A) 130°	B) 90°
C) 180°	D) 45°

Answer & Explanation Answer: B) 90°

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

Q:

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC+XY=12 units, then BCXY is

A) 10 units	B) 8 units
C) 6 units	D) 4 units

Answer & Explanation Answer: D) 4 units

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

Q:

In a cyclic quadrilateral ABCD ∠BCD=120° and passes through the centre of the circle. Then ∠ABD = ?

A) 30°	B) 40°
C) 50°	D) 60°

Answer & Explanation Answer: A) 30°

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

Q:

If $2 x + \frac{2}{9 x} = 4$ , then the value of $27 x^{3} + \frac{1}{27 x^{3}}$

A) 180	B) 198
C) 234	D) 252

Answer & Explanation Answer: B) 198

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is

A) 3:4	B) 4:3
C) 5:3	D) 5:7

Answer & Explanation Answer: B) 4:3

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Filed Under: Time and Work
Exam Prep: Bank Exams

Q:

The area of the largest triangle that can be inscribed in a semicircle of radius 6m is

A) 36 sq.m	B) 72 sq.m
C) 18 sq.m	D) 12 sq.m

Answer & Explanation Answer: A) 36 sq.m

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Filed Under: Area
Exam Prep: Bank Exams

Q:

If $\frac{a^{2} + b^{2}}{c^{2}} = \frac{b^{2} + c^{2}}{a^{2}} = \frac{c^{2} + a^{2}}{b^{2}} = \frac{1}{k} (k \neq 0)$ then k =

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

Answer & Explanation Answer: D) 1/2

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Filed Under: Simplification
Exam Prep: Bank Exams

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