Puzzle Corner 1

  • In 1938, a boy told his grandfather, “Today my age is equal to the last two digits of my year of birth." To this, his grandfather, with a chuckle, said," it is true in my case also." The boy was trying to figure out how. Will you explain?
  • GULLU and his son GUCHU go out for a 'walk-and-run’ around a track formed by an equilateral triangle. Gullu's walking speed is 2 mph and his running speed 5 mph. Guchu' s walking and running rates are twice that of his father. Both start together from one apex of the triangle, the son going clockwise & the father going anti-clockwise. Initially Gullu runs and Guchu walks for a certain period of time. Thereafter, as soon as the father starts walking, the son starts running both complete the course in 45 minutes.
    For how long does Gullu run?  Where do the two cross each other?
     
  • Lee, Dale, and Terry are related to each other.

    1. Among the three are Lee’s legal spouse, Dale’s sibling, and Terry’s sister-in-law.
    2. Lee’s legal spouse and Dale’s sibling are of the same sex.

    Who do you know is a married man?
  • The Angoras, the Bobcats, and the Cougars are hockey teams. In three games the Angoras played against the Bobcats, the Bobcats played against the Cougars, and the Angoras played against the Cougars.

    1. The three final scores of the games consisted of the numbers 1,2,3,4,5 and 6.
    2. The difference between the Angoras’ higher score and the Bobcat’s higher score was one more than the difference between the Bobcats’ lower score and the Cougars’ lower score.
    3. The highest total of a team’s two scores was achieved by the team that lost the greatest number of games.

    Which team achieved the highest total of its two scores? 
  • The game of Tic-tac-toe is played in a large square divided into nine small squares.

    1. Each of two players in turn places his or her mark – usually X or O in a small square.
    2. The player, who first gets three marks in a horizontal, vertical, or diagonal line wins.
    3. A player will always place his or her mark in a line that already contains (a) two of his or   her own marks or (b) two of his or her opponent’s marks- giving (a) priority over (b).

    Only the last mark to be placed in the game shown above is not given.  Which mark – X or O wins the game?

    X

    O

     

    X

     

     

    O

    O

    X

  • DEVEN, SANJEEV and MOHAN are three friends married to KIRAN, RADHA AND VIDYA (not in order). Each couple have a son. Their names are MONEESH, ULHAS and VIPIN. The following additional information is forwarded :
    1. Sanjeev married first of all, i.e. in February 1966, and  Deven last, in September 1966.
    2. Kiran got married six months after Radha.
    3. None of the children were born within a year of their parents wedding.
    4. Vidya got her son exactly two years after marriage whereas Kiran got one within 16 months of her marriage.
    5. Vipin, who is the naughtiest, is January born.
    6. Moneesh was born within 16 months of his parents' wedding, but not between August and January (both inclusive).

    Who are Moneesh's parents?
  • Once in my life when I happened to make an inquiry to three young girls JYOTI, RENU and SUMAN, about their ages (a blunder which I regret till this day), this is what I was told:

    Suman:
    The difference between Renu's age and mine is three years.
    Jyoti: Renu is the youngest
    Renu: Either I am 24 years old or Jyoti 25 or Suman 26.
    Jyoti: All are above 24 years of age.
    Suman: I am the eldest if and only if Renu is not the youngest.
    Renu: Suman is elder to me.
    Jyoti: I am the eldest
    Renu: Suman is not 27 years old.
    Suman: The sum of my age and Jyoti's is two more than twice Renu's age.

    They also conveyed to me that one of them had been telling a lie throughout whereas others had spoken the truth and nothing but the truth.
    It was too much for me to make sense out of what they had said. Can you help me determine their ages?