From an external point two tangents to a circle ar | Quantitative Aptitude - Arithmetic Ability Questions & Answers

Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 81	B) 125
C) 64	D) 198

Answer & Explanation Answer: D) 198

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Q:

Expand and simplify ${(2 x + 5)}^{2} * (4 x - 1) - (3 x^{3} - 16 x^{2} + 25 x - 21)$

A) 13x3 + 92x2 - 55x + 4	B) 13x3 - 92x2 - 55x - 4
C) 13x3 + 92x2 + 55x - 4	D) 13x3 - 92x2 + 55x + 4

Answer & Explanation Answer: C) 13x3 + 92x2 + 55x - 4

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Q:

A cone is hollowed out of a solid wooden cube of side 7 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?

A) 253.17 cubic cms	B) 228.84 cubic cms
C) 143.26 cubic cms	D) 257.68 cubic cms

Answer & Explanation Answer: A) 253.17 cubic cms

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Q:

Reflection of the point (2,-4) in the origin is

A) (2,4)	B) (-2,-4)
C) (2,-4)	D) (-2,4)

Answer & Explanation Answer: D) (-2,4)

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Q:

By increasing the price of entry ticket to a fair in the ratio 5:7, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

A) increased in the ratio 55:63	B) decreased in the ratio 63:55
C) increased in the ratio 45:77	D) decreased in the ratio 77:45

Answer & Explanation Answer: A) increased in the ratio 55:63

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Q:

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

A) 90	B) 45
C) 60	D) 75

Answer & Explanation Answer: B) 45

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Q:

What smallest number should be added to 2401 so that the sum is completely divisible by 14 ?

A) 8	B) 7
C) 4	D) 5

Answer & Explanation Answer: B) 7

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Q:

What is the altitude of an equilateral triangle whose side is 12 cm?

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

A) 36°	B) 72°
C) 108°	D) 144°

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

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