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Q:

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

A) 2√13 cm	B) 5√3 cm
C) 4√6 cm	D) 6√5 cm

Answer & Explanation Answer: C) 4√6 cm

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is

A) 80°	B) 40°
C) 90°	D) 50°

Answer & Explanation Answer: C) 90°

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Q:

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

A) 65°	B) 130°
C) 115°	D) 55°

Answer & Explanation Answer: C) 115°

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If x = 1 + √2 + √3 , then the value of $2 x^{4} - 8 x^{3} - 5 x^{2} + 26 x - 28$ is

A) 2√2	B) 3√3
C) 5√5	D) 6√6

Answer & Explanation Answer: D) 6√6

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Q:

If $x^{2} + y^{2} + 6 x + 5 = 4 (x - y)$ then x - y is

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

Answer & Explanation Answer: A) 1

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Q:

The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is

A) 50 metres	B) 100 metres
C) 150 metres	D) 250 metres

Answer & Explanation Answer: B) 100 metres

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

Q:

The external and the internal radii of a hollow right circular cylinder of height 15 cm are 6.75 cm and 5.25 cm respectively. If it is melted to form a solid cylinder of height half of the orignal cylinder, then the radius of the solid cylinder is

A) 6 cm	B) 7.25 cm
C) 6.5 cm	D) 7 cm

Answer & Explanation Answer: A) 6 cm

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Filed Under: Volume and Surface Area
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Q:

The base of a right prism is a trapezium whose the length of parallel sides are 25 cm and 11 cm and the perpendicular distance between the parallell sides in 16 cm. If the height of the prism is 10 cm, then the volume of the prism is

A) 1440 cu.cm	B) 1540 cu.cm
C) 2880 cu.cm	D) 960 cu.cm

Answer & Explanation Answer: C) 2880 cu.cm

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Filed Under: Volume and Surface Area
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