Quantitative Aptitude - Arithmetic Ability Questions

Q:

A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

A) 240 B) 120
C) 60 D) 90
 
Answer & Explanation Answer: C) 60

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Filed Under: Area
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Q:

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

A) xy B) √( y/ x)
C) √( x/ y) D) √( xy)
 
Answer & Explanation Answer: D) √( xy)

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Q:

If (cosec2A - 1) = x, then the value of x is

A) tanA B) sinA
C) cosA D) cotA
 
Answer & Explanation Answer: D) cotA

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Q:

If cot(A/2) = x, then x is equal to

A) tanA/(1 + secA) B) 1/(secA + cotA)
C) tanA/(1 + cosecA) D) 1/(cosecA ­- cotA)
 
Answer & Explanation Answer: D) 1/(cosecA ­- cotA)

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Q:

If 2x-12x = 5, then what is the value x2 + 116x2 - 2

A) 19/4 B) 23/4
C) 27/4 D) 31/4
 
Answer & Explanation Answer: A) 19/4

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Q:

In these tests find the Odd figure out

A) a B) b
C) c D) d
 
Answer & Explanation Answer: D) d

Explanation:

In all figures, the upper circle overlaps the lower circle but in option D lower circle overlaps the upper.

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Filed Under: Odd Man Out
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Q:

Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?

A) 36 B) 39
C) 42 D) 45
 
Answer & Explanation Answer: C) 42

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Filed Under: Time and Distance
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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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