Interview Questions

Quantitative Aptitude Back

A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase in
volume?
Ans: 
16/3 inches
Let x be the amount of increase. The volume will increase by the same amount if the radius increased or the height is increased. So, the effect on increasing height is equal to the effect on increasing the radius. i.e., (22/7)*8*8*(3+x) = (22/7)*(8+x)*(8+x)*3 Solving the quadratic equation we get the x = 0 or 16/3. The possible increase would be by 16/3 inches.

With just six weights and a balance scale, you can weigh any unit number of kgs from 1 to 364. What could be the six weights?
Ans: 
1, 3, 9, 27, 81, 243 (All powers of 3).

Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh more as a bachelor; five years after his marriage a son was born who died four years before his father at half his final age. How old is Diophantus?
Ans: 
84 years
x/6 + x/12 + x/7 + 5 + x/2 + 4 = x.

If time at this moment is 9 P.M., what will be the time 23999999992 hours later?
Ans: 
1 P.M.
24 billion hours later, it would be 9 P.M. and 8 hours before that it would be 1 P.M..

How big will an angle of one and a half degree look through a glass that magnifies things three times?
Ans: 
1 1/2 degrees
The magnifying glass cannot increase the magnitude of an angle.

Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number.
Ans: 
8, 12, 5, 20
a + b + c + d =45; a+2 = b-2 = 2c = d/2; a=b-4; c = (b-2)/2; d =2(b-2); b-4 + b + (b-2)/2 + 2(b-2) = 45;

I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my average speed over my 120 km
Ans: 
37 1/2

One of Mr. Horton,his wife,their son,and Mr. Horton's mother is a doctor and another is a lawyer.
a)If the doctor is younger than the lawyer, then the doctor and the lawyer are not blood relatives.
b)If the doctor is a woman, then the doctor and the lawyer are blood relatives.
c)If the lawyer is a man, then the doctor is a man.
Whose occupation you know?
Ans: 
Mr. Horton : he is the doctor.

Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a chess tournament.Of the three games played:
a)In only the first game werethe two players married to each other.
b)The men won two games and the women won one game.
c)The Ayes won more games than the Bees.
d)Anyone who lost game did not play the subsequent game.
Who did not lose a game?
Ans: 
Mrs.Bee did not lose a game.

Three piles of chips--pile I consists one chip, pile II consists of chips, and pile III consists of three chips--are to be used in game played by Anita and Brinda.The game requires:
a)That each player in turn take only one chip or all chips from just one pile.
b)That the player who has to take the last chip loses.
c)That Anita now have her turn.
From which pile should Anita draw in order to win?
Ans: 
Pile II.