BRAIN TEASERS
#A AND B ARE TWO FRIENDS. THEY HAVE THE FOLLOWING DIALOGUE.
A: GUESS THE AGES OF EACH OF MY
DAUGHTERS.
B: GIVE ME SOME CLUE.
A: THE PRODUCT OF THEIR AGES IS
36.
B: ONE MORE CLUE PLEASE
A: THE SUM OF THEIR AGES IS EQUAL
TO YOUR HOUSE NUMBER!
B: (AFTER THINKING FOR A WHILE) I
NEED ONE LAST CLUE.
A: THE COLOUR OF THE EYES OF MY
YOUNGEST DAUGHETR IS BLUE!
B THINKS AND TELLS THEIR AGES. WHAT DOES HE TELL AND HOW?
(HINT:
GO IN THE ORDER OF THE CLUES)
# A FARMER HAS FOUR SONS: A, B, C AND D. HE GIVES THEM 200 BANANAS
(TOTAL) AND ASKS THEM TO SELL THAT IN THE MARKET. A IS GIVEN 80 BANANAS, B IS
GIVEN 60, C IS GIVEN 40 AND D 20. HE TELLS THEM THE FOLLOWING: “ALL OF YOU
SHOULD SELL THE BANANAS AT THE SAME UNIT PRICE. ALL THE BANANAS
SHOULD BE SOLD, NO WASTAGE, NO EXCHANGE ETC. LASTLY, THE AMOUNT COLLECTED BY
EACH OF YOU SHOULD BE THE SAME!” HOW IS THIS POSSIBLE? HOW DO THEY SELL THE
BANANAS AND WHAT IS THE AMOUNT COLLECTED BY EACH ONE OF THEM?
(HINT:
READ THE UNDERLINED SENTENCE CAREFULLY)
# A GOLDSMITH GETS AN ORDER FOR 10 BOXES CONTAINING 100 COINS EACH, EACH COIN WEIGHING 100 GRAMS. BY MISTAKE, HE PACKS 1 BOX WITH 100 COINS OF 11 GRAMS EACH. ALL THE OTHER 9 BOXES ARE AS PER REQUIREMENT. NOW HE HAS TO FIND OUT THAT FAULTY BOX, USING THE WEIGHING BALANCE ONLY ONCE! (KEEPING THE BOXES ON THE BALANCE AND REMOVING ONE OR MORE THAN ONE BOX IS EQUIVALENT TO WEIGHING MORE THAN ONE BOX.) YOU CAN’T MAKE OUT THE DIFFERENCE SIMPLY BY LOOKING AT THEM OR TAKING THEM IN HAND. HOW WILL THE GOLDSMITH IDENTIFY THE FAULTY BOX?
(HINT: OPENING OF BOXES IS
ALLOWED)
# THERE ARE 2 DOORS D1 AND D2; AND THEIR DOOR KEEPERS K1
AND K2. ONLY ONE OF D1 AND D2 IS THE RIGHT WAY. K1 ALWAYS SPEAKS THE TRUTH AND
K2 ALWAYS LIES! ONE PASSENGER HAS TO GO THROUGH THE RIGHT WAY. HE IS ALLOWED TO
ASK ONLY ONE QUESTION TO EITHER OF K1 OR K2. HOW?
--BHU#128