Quantitative Aptitude - Arithmetic Ability Questions

Q:

ΔABC is right angled at B. If m∠A = 60 deg, then find the value of (secC + 2)

A) (2+2√3)/√2 B) 4/3
C) (2+2√3)/√3 D) 4/√3
 
Answer & Explanation Answer: C) (2+2√3)/√3

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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

 

A) 12 – 24 B) 14 – 28
C) 44 – 88 D) 33 –88
 
Answer & Explanation Answer: D) 33 –88

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Q:

Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take √3=1.73)

A) 173m B) 200m
C) 273m D) 300m
 
Answer & Explanation Answer: C) 273m

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Filed Under: Height and Distance
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Q:

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 110 deg then the angle POA is

A) 50 deg B) 70 deg
C) 35 deg D) 45 deg
 
Answer & Explanation Answer: C) 35 deg

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Q:

The length of the diameter of the circle is 10 cm and length of the chord drawn in a circle is 6 cm. Find the distance (in cm) of chord from the center.

 

A) 10 B) 8
C) 6 D) 4
 
Answer & Explanation Answer: D) 4

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Q:

O is an centre of a circle. P is an external point of it at distance of 13cm from O. The radius of the circle is 5cm. Then the length of a tangent to the circle from P upto the point of contact is

A) √194cm B) 10cm
C) 12cm D) 8cm
 
Answer & Explanation Answer: C) 12cm

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Q:

The area of the base of a cone is 64pi sq.cm while its slant height is 17 cm. This cone is remolded to obtain a solid sphere. The radius of this sphere will be

 

A) 2303 cm B) 2403 cm
C) 8303 cm D) 6.5 cm
 
Answer & Explanation Answer: A) 2303 cm

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Q:

If angles M and N measure 60 deg and 30 deg respectively, (sinM) x (cotN) = ?

A) 1/2 B) √3/2
C) 3/2 D) 0
 
Answer & Explanation Answer: C) 3/2

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Filed Under: Simplification
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