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Tickle Your Grey Cells

Puzzle corner is a dedicated section for honing analytical, mathematical and reasoning skills. In this section every week you will find five Puzzles. Theses mind twisters have been carefully selected after a thorough research and provide right inputs for tickling your grey cells. Solving puzzles is considered very good exercise so as to remain mentally active. Puzzle solving enhances memory and processing speed.

Puzzle is one of the most popular category in competitive examinations. All the major Indian MBA entrance exams like CAT, MAT, XAT and SNAP have direct questions or questions based on similar logics in written test. Besides MBA exams, competitive exams like GRE, GMAT, Bank PO, SSC & other government exams include puzzle questions. Most of the companies while recruiting through campus includes Puzzles in the written tests or at interview stage. Hence those who are preparing for campus placement tests this section is a must.

Week of the Year 

While travelling to Tungnath Vicky reached a fork on the way. He could have gone to any of the two ways. But only one of them leads to the town. But fortunately two men were standing nearby, however one of them always lies and other always speak the truth and its not known who is who. Since the men do not really like to help, one is allowed to ask one of them only one question. Which question should he ask?
Ask one of the men, "if I would ask the man standing next to you: which is the way to the town? ,
what would he answer?"
If he asks this to the liar, he will point him in the wrong way.
If he asks this to the one who speaks the truth, he will also point him in the wrong way. So after asking the question, take the other way. This will bring you in the town.

Rajat appeared for a Science exam. He was given 135 problems to solve. He tried to solve all of them correctly but some of them went wrong. Anyhow he scored 75.His score was calculated by subtracting three times the number of wrong answers from the number of correct answers. Can you tell how many problems he solved correctly?

 Let us assume W = Wrong and R = Right

R – 3W  = 75

R + W  = 135


                 - 4W = - 60.

W  = 15.  => 15 + R = 135. => R =  135 - 15 = 120.

Anuj has 22 pairs of Black gloves and 22 pairs of blue gloves. He keeps them all in the same drawer. What is the minimum number of gloves required to make a matching pair?

In the worst scenario 44gloves are of one hand say of left hand. Now the 45th glove will be of right hand and will make a pair.

Khurana would like to take a new apartment on rent. The owner asks him: "Please tell me how many children you have." Khurana answers: "I have three of them." The owner: "What are the ages of your children?". He answers: "The product of the ages is equal to 72." The owner replies: "This is not enough information dear!". "Sorry that I was a little bit unclear, but the sum of the ages is equal to the house number in front of your apartment," says Khurana. The owner: "This still isn't enough information!". Khurana replies: "My oldest child loves chocolate." The owner: "Thanks for your cooperation, I now know the ages." Are you as smart as the owner? Then give the ages of the children.
The product of the ages is 72. Using this one can make the following combination of ages:
1,72, 1 sum = 74
1,36, 2 sum = 39
1,24, 3 sum = 28
1,18, 4 sum = 23
1,2, 18 sum = 21
12,6, 1 sum = 19
12,2, 3 sum = 17
9,8, 1 sum = 18
9, 4, 2 sum = 15
8, 3, 3 sum = 14
6, 6, 2 sum = 14
6, 4, 3 sum = 13
After the man had said that the product of the ages is equal to 72, the owner didn't have enough information. Then he was told that the sum is equal to house number in front of the apartment. He replied by saying that this still isn't enough information. So the sum of the ages should be 14, because otherwise he would have known the ages immediately. The last statement is that the oldest child loves chocolate. So there is an oldest child. Hence the owner concludes that the ages of the children are 8, 3 and 3 years.

How many tiles does it take to complete a room made of tile?
Only one - the "last" one.

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