#141 - Knockout Tournament Matches Puzzle

A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).
(a) If 15 matches are played in total, how many players participated?
(b) If 50 players took part in the tournament, how many matches were played?

Knockout Tournament Matches Puzzle
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(a) If you look at the question closely, it is a knockout tournament and the winner will be just one. Thus no. of players is equal to 15+1=16.
(b) The number of matches will always be one less than the number of players (in knockout tournaments). Thus the answer is 49.

#142 - Hard Thinking Riddle

Which is the smallest number that you can write using all the vowels exactly once.?

Hard Thinking Riddle
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sIx thOUsAnd twEnty (6020)

#143 - Ramanujan Magic Number Riddle

Ramanujan discovered 1729 as a magic number.

Why 1729 is a magic number ?

Ramanujan Magic Number Riddle
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They can be expressed as the sum of the cubes of two different sets of numbers.

10^3 + 9^3 = 1729
and
12^3 + 1^3 = 1729

#144 - Logical Maths Picture Puzzle

Solve the maths equation in the picture below by placing the numbers 1 through 9 into the boxes so that all the 3 equations are correct.

Logical Maths Picture Puzzle
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There are six unique answers

Ans1:
7 x 4 = 28
36 / 4 = 9
1 + 4 = 5

Ans2:
9 x 4 = 36
28 / 4 = 7
1 + 4 = 5

Ans3:
3 x 8 = 24
56 / 8 = 7
1 + 8 = 9

Ans4:
7 x 8 = 56
24 / 8 = 3
1 + 8 = 9

Ans5:
4 x 8 = 32
56 / 8 = 7
1 + 8 = 9

Ans6:
7 x 8 = 56
32 / 8 = 4
1 + 8 = 9

#145 - Interesting Maths Puzzle

A women walks into a bank to cash out her check.
By mistake the bank teller gives her rupee amount in change, and her paise amount in rupees.
On the way home she spends 5 paise, and then suddenly she notices that she has twice the amount of her check.

How much was her check amount ?

Interesting Maths Puzzle
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The check was for Rupees 31.63.
The bank teller gave her Rupees 63.31
She spent .05, and then she had Rupees 63.26, which is twice the check.

Let x be the rupees of the check, and y be the paise.

The check was for 100x + y paise
He was given 100y + x paise

Also
100y + x - 5 = 2(100x + y)
Expanding this out and rearranging, we find:
98y = 199x + 5

or 199x ≡ -5 (mod 98)
or 98*2*x + 3x ≡ -5 (mod 98)
3x ≡ -5 ≡ 93 (mod 98)
this quickly leads to x = 31

#146 - Tricky Maths Riddle

I know a number which is spelled in an alphabetical order.
Do you ?

Tricky Maths Riddle
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Forty

#147 - Solve Maths Equation Problem

Find the value of a by solving the maths equation in the picture below

Solve Maths Equation Problem
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2(remember bodmas)

#148 - Short Math Riddle

Can you convert number zero(0) into a positive number using just one mathematical operator ?

Short Math Riddle
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0!

#149 - Logical Number Problem

According to number theory of mathematics , a perfect number is a positive integer that is equal to the sum of its positive divisors excluding the number itself.
For example :
6 => 1+2+3
28 =>1+2+4+7+14

I know one more number that is a perfect number and contains not more than 2 digits (i.e 496 won't be consider as it contains 3 digits).

Find the number ?

Logical Number Problem
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12=> 1+2+3+6

cannot be 1 (as number cannot be included)

#150 - Trick Maths Riddle

I have a role of cloth 1km long.
I have a machine which cuts this role into pieces of 10 meter long cloth.

How long would it take for the machine to cut the roll if each cut took 4 secs ?

Trick Maths Riddle
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396 seconds

1000m would only take 99 cuts not 100.
so 4*99 => 396