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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 

At 8 AM, a clock ticks 8 times. The time between first and last ticks is 35 seconds. How long does it tick at 11 Noon?
It is given that the time between first and last ticks at 8'o clock is 35 seconds.
Total time gaps between first and last ticks at 8'o clock= 7
(i.e. between 1 & 2, 2 & 3, 3 & 4, 4 & 5 and 5 & 6, 6 & 7,7 & 8)
So time gap between two ticks = 35/7 =5 seconds.
Now, total time gaps between first and last ticks at 11'o clock = 10
Therefore time taken for 11 ticks = 10 * 5 = 50 seconds .

What is the smallest number which when divided by 35 leaves remainder 30 ,when divided by 45 leaves remainder 40 and when divided by 55 leaves remainder 50?
The easiest way is to find the Least Common Multiple of 35,45 and 55 subtract 5 from it. The LCM of , 35,45 and 55 is 3465. Hence, the required number is 3460.

A truck driver, once in a week, leaves his house and drives to the river dock to pick up supplies. At 6:05 PM, one-fifth of the way to the dock, he passes the Temple. At 6:15 PM, one-third of the way, he passes the Amritsari Dhaba. At what time does he reached the dock?
At 6:05 PM, the wagon driver passes the temple, one-fifth of the way to the dock.Also, at 6:15 PM, he passes the Amritsari Dhaba, one-third of the way. Thus, he travels 2/15 (1/3 - 1/5) of the distance in 10 minutes.
At 6:15 PM, he has already travelled 1/3 of the distance. Thus 2/3 of the way is remaining, which can be travelled in = ((2/3) * 10) / (2/15) = 50 minutes.
At 4:15, he was at Amritsari Dhaba and remaining way will take 50 more minutes. Hence, the driver will reach at 7:05 PM to the dock.

If Etti can swim 4 miles downstream (with the current) in a river in 20 minutes, & upstream 1 mile (against the current) in 15 minutes, how long would it take her to swim a mile in still water?
She is able to swim downstream at 12 miles an hour, & upstream at 4 miles an hour. so speed of boat in still water is (12+4)/2=8 miles per hour.
She can thus swim a mile in still water in 60/8=7.5  minutes.

Sami decided to give Kachoris to her friends on her Birthday. If she gives 3 Kachoris to each friend, one friend will get only 1 Kachoris. Also, if she gives 2 Kachoris to each friends, she will be left with 13 Kachoris. How many Kachoris Sami got on her Birthday? And how many friends are there?
Let's assume that there are total C kachoris and F friends
According to first case, if she gives 3 Kachoris to each friend, one friend will get only 2 Kachoris.
3*(F - 1) + 1 = C
Similarly, if she gives 2 Kachoris to each friend, she will leave with 15 Kachoris
2*F + 13 = C
Solving above 2 equations, F = 15 and C = 43. Hence, Sami got 43 Kachoris and 15 friends

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