Aptitude and Reasoning Questions


The areas of three consecutive faces of a cuboid are 12 cm², 20cm² and 15 cm², then the volume (in cm³) of the cuboid is

A) 60 B) 55
C) 45 D) 40
Answer & Explanation Answer: A) 60


From the given data,

let the length, breadth and height of the cuboid are m, n, r

m x n = 12

n x r = 20

r x m = 15


Hence, m x n x n x r x r x m = 12 x 20 x 15

mnr = sqrt of (12x20x15) = 60 cub.cm.

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A tangent contains at most how many chords?

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


A tangent contains ZERO chords, as it touches the circle at only one point.


Hence, it does not contain any chord.

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Cartesian product in relational algebra is


The Cartesian Product is also an operator which works on two sets. It is sometimes called the CROSS PRODUCT or CROSS JOIN. It combines the tuples of one relation with all the tuples of the other relation.

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Agra and Delhi are 160 km apart. A train leaves Agra for Delhi and at the same time another train leaves Delhi for Agra. Both the trains meet 5 hrs after they start moving. If the train travelling from Agra to Delhi travels 6 km/hr faster than the other train, find the speed of the faster train? 

A) 19 kmph B) 13 kmph
C) 7 kmph D) 9 kmph
Answer & Explanation Answer: A) 19 kmph


Let the speed of the slower train = p kmph


Speed of the faster train = (p + 6) kmph


(p + p + 6) x 5 = 160

10p + 30 = 160

10p = 130

p = 13 kmph

Then, speed of the faster train = p + 6 = 13 + 6 = 19 kmph.

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