At the fair
I bought 6 pineapples and two jackfruits for Rs. 15. If I could have bought 4
more pineapples for RS. 14 than jackfruits for Rs. 9. What would be the price
of each?
Answer:
Pineapples cost Rs. 1.75 apiece and jackfruits Rs. 2.25.
Saturday, 6 December 2014
The Bargain
Sometimes
one is mystified at the startling reductions some people make in their prices
and wonders on what principle the reductions are based. To quote an example
three years ago a friend offered me a used typewriter for Rs. 1024. A year
later he offered me the same for Rs. 640 and last year he wanted Rs. 400 and
now he is willing to sell it to me for Rs. 250. But I have decided to buy it
when he reduces next time.
If he does a consistent reduction, at what price will he
offer the typewriter to me next?
Answer: It is
obvious that the seller of the typewriter follows the rule to reduce three- eighths
of the price at every reduction, and, therefore, after the consistent
reduction, the typewriter should be next offered for Rs. 156.25.
The ‘Mixed Double’
Four married
couples played a tennis tournament of ‘mixed doubles’. A man and a woman always
played against a man and a woman. However, no person ever played with or
against any other person more than once. They all played together n two courts
on three successive days.
Can you show how they could have done it?
Answer: Let’s
call the men A B C D and their wives E F G H. They must play in such a way that
no person ever plays twice with or against another person.
First Court second Court
1st day AD against
BF CE against DF
2nd day AH against
CF DE against BH
3rd day AF against
DG BE against CH
In this way no man ever plays with or against his own/ wife.
How Much?
I have two
10 paise coins. If ⅘ of what I have is ⁸⁄₉ of what you have, how much do you
have?
Answer: 18 paise.
The Strange Two Numbers
There are two whole numbers, difference of
their squares is a cube and the difference of their cubes is a square. These
are the smallest possible numbers.
Can you find the numbers?
Answer: 10² - 6² = 100 – 36 =64 =4³
10³ -
6³ = 1000 - 216 = 784 = 28²
The Sixteen fours
How can you
make a total of 1,000 by using sixteen 4’s?
Answer: 444 +
444+ 44+ 44 + 4 + 4 + 4 + 4 + 4 +4
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