PUZZLES

1.One of Mr. Bajaj, his wife, their son and Mr. Bajaj's mother is an Engineer and another is a Doctor.
•        If the Doctor is a male, then the Engineer is a male.
•        If the Engineer is younger than the Doctor, then the Engineer and the Doctor are not blood relatives.
•        If the Engineer is a female, then she and the Doctor are blood relatives.
Can you tell who is the Doctor and the Engineer?
Ans.Bajaj---Engineer
    Wife----doctor/son

2.Number of zeros in 1-1000
Ans.192

3.In a sports contest there were m medals awarded on n successive days (n > 1).
1.        On the first day 1 medal and 1/7 of the remaining m - 1 medals were awarded.
2.        On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on.
3.        On the nth and last day, the remaining n medals were awarded.
How many days did the contest last, and how many medals were awarded altogether?

4.There are 3 persons X, Y and Z. On some day, X lent
  tractors to Y and Z as many as they had. After a month
  Y gave as many tractors to X and Z as many as they have.
  After a month Z did the same thing. At the end of this
  transaction each one of them had 24.
Ans.39,21,12

5.A number of 9 digits has the following properties:
•        The number comprising the leftmost two digits is divisible by 2, that comprising the leftmost three digits is divisible by 3, the leftmost four by 4, the leftmost five by 5, and so on for the nine digits of the number i.e. the number formed from the first n digits is divisible by n, 2<=n<=9.
•        Each digit in the number is different i.e. no digits are repeated.
•        The digit 0 does not occur in the number i.e. it is comprised only of the digits 1-9 in some order.
Find the number.
Ans.381654729

6.500 men are arranged in an array of 10 rows and 50 columns according to their heights.
  Tallest among each row of all are asked to come out. And the shortest among them is A.
  Similarly after resuming them to their original positions, the shortest among each column
  are asked to come out. And the tallest among them is B. Now who is taller A or B ?
Ans.A=B

7.In Mr. Mehta's family, there are one grandfather, one grandmother, two fathers, two
  mothers, one father-in-law, one mother-in-law, four children, three grandchildren, one
  brother, two sisters, two sons, two daughters and one daughter-in-law.
  How many members are there in Mr. Mehta's family? Give minimal possible answer
ANS..7
     1 grand father,
     1 grand mother,
     1 father ,
     1 mother,
     father has one son n 2 daughters

8.When Alexander the Great attacked the forces of Porus, an Indian soldier was captured by
  the Greeks. He had displayed such bravery in battle, however, that the enemy offered
  to let him choose how he wanted to be killed. They told him, "If you tell a lie, you
  will put to the sword, and if you tell the truth you will be hanged." The soldier could
  make only one statement. He made that statement and went free. What did he say?
Ans.u will put me to the sword
    The soldier has to say a Paradox to save himself.
    If his statement is true, he will be hanged, which is not the sword and hence false.
    If his statement is false, he will be put to the sword, which will make it true.
    A Paradox !!!

9.It's a graphic media emulator. High-resolution, thin-screen monitor that produces
  near- perfect emulations of all graphical media. Used as cosmetic analyzer.
  What is it?
Ans .Mirror

10.Vipul was studying for his examinations and the lights went off. It was around 1:00 AM. He lighted two uniform candles of equal length but one thicker than the other. The thick candle is supposed to last six hours and the thin one two hours less. When he finally went to sleep, the thick candle was twice as long as the thin one.
For how long did Vipul study in candle light?
Ans.3hrs

11.At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at
12'o.
Ans.66sec

12.There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner.
What is the probability that they don't collide?
Ans.1/4
    Let's mark the corners of the triangle as A,B,C. There are total 8 ways in which ants can move.
    1.        A->B, B->C, C->A
    2.        A->B, B->C, C->B
    3.        A->B, B->A, C->A
    4.        A->B, B->A, C->B
    5.        A->C, C->B, B->A
    6.        A->C, C->B, B->C
    7.        A->C, C->A, B->A
    8.        A->C, C->A, B->C
    Out of which, there are only two cases under which the ants won't collide :
    •        A->B, B->C, C->A
    •        A->C, C->B, B->A