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Number Puzzle #59

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Find the answer in the image below

number puzzle 59

number puzzle 59


Check your answer:-

Tried enough already?
See Explanation
Answer is 14.
How?
Actually its nothing but number of squares in the image, in the first image there are 5 squares and in the second there are 14 squares. thus the answer will be 14.

13 caves and a thief

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Find Minimum number of days to guarantee to catch the thief

13 caves and a thief puzzle

13 caves and a thief puzzle

There are 13 caves arranged in a circle. There is a thief hiding in one of the caves. Each day the the thief can move to any one of of the caves that is adjacent to the cave in which he was staying the previous day. And each day, you are allowed to enter any two caves of your choice.

What is the minimum number of days to guarantee in which you can catch the thief?

Note:

  1. Thief may or may not move to adjacent cave.
  2. You can check any two caves, not necessarily be adjacent.
  3. If thief and you exchange your caves, you will surely cross at some point, and you can catch the thief immediately.

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How many children, ladies and gents are there?

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One family of 20 members have 20 chapatis to eat, finally

  1. Every child gets 1/2 chapati
  2. Every Lady in the house gets 2 chapatis
  3. And every gentleman gets 3 chapatis to eat.

How many Child, Ladies and Gents are there in the family?

See Answers

There are two possible answers:
Answer1: Number of children = 14, Ladies= 5 and Gents = 1
Answer2: Number od children = 16, Ladies = 0 and Gents = 4.
How?
We can form the mathematical equations and solve them, lets assume number of children = x, ladies = y and gents = z.

Then we can form these two equations

  1. x + y + z = 20(Total number of people in family)
  2. x/2 + 2y + 3z = 20 (Total number of chapati’s)

Now we can solve above two equations as below

x/2 + 2(y+z) + z = 20
x/2 + 2(20 -x) + z = 20 (replaced y+z from first equation)
40 + z -3x/2 = 20
3x/2 = 20 +z
as z > 0 => 3x/2 > 20, x = 14, 16, 18...

We can see that y becomes negative for any value of x greater than or equal to 18,thus x = 14 and 16 are two possible values. we can get the corresponding values of y and z as well.

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