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Brain teasers
1. BRAIN TEASERS
Two Friends
Appu and Akhil were brining longs of wood to construct a toy house. On
the way Akhil told Appu “If you give one long from those with you the weight
of longs we have will be equal and your weight”. But the proud Appu did not
agree. Instead he said, “I am healthier than you. If you give one log from those
with you, you need to carry only half the weight I carry”. Can you say how
many long each carried?
Ans:Let us assume the number of logs carried by Akhil as n. if he given one
from this to Appu he will have n-1 longs left and Appu will have equal
number of longs as
= n-1+n-1=2n – 2 Akhil had n longs with him. So Appu had 2n-2-n=n-2
longs. If appu gives one Akhil will have n+1 with him. But n+1 is twice n-
3. That is n+1 = 2(n-3) n+1=2n-6; n=7
Appu is carried 5 longs and Akhil 7.
How old is Diophantus?
The inscriptions on the grave of Diophantus the famous Greek
mathematician who lived in third century A.D is given below.
‘Diophantus spent a sixth of his life as a boy, a twelfth in his youth and a
seventh more as bachelor. Give years after his marriage he had a son. The son’s
life who died four years before the death of Diophantus die?
Ans: Let’s take the lifespan of Diophantus to be “a”. Then
a=84
That is Diophantus lived 84 years.