#1611 - Missing Number Picture Puzzle

Can you find out the missing number in the picture attached?

Missing Number Picture Puzzle

11

The number on the extreme right is one-half of the product of the other two numbers.

36 = (18*4)/2
45 = (15*6)/2

Therefore, 44 = (8*x)/2
X = 11.

Thus, the missing number is 11.

#1612 - Distance Math Problem

There is a straight highway. Four different villages lie on that highway. The distance between them is different. The third village is 60km away from the first village; the fourth is 40 km away from the second; the third is 10 km near to the fourth that it is to the second.

Can you calculate the distance between the fourth and the first village ?

75

First Village = A
Second Village = B
Third Village = C
Fourth Village = D

Distance between B and D = 40km
=> Distance between B and C + Distance between C and D = 40km
=> Distance between B and C + (Distance between B and C - 10) = 40 km
=> 2 * Distance between B and C = 50km
=> Distance between B and C = 25km

Therefore distance between C and D = 15km

Thus, distance between A and D = 60 + 15 = 75km

#1613 - Guess Who Am I

All of you like to eat me. I am a five-lettered word. Remove the first two and I turn into an infamous animal. Remove just the first and I become a heinous crime. Remove the first and the last and you can groove on me.

Can you guess who am I?

Grape

#1614 - Simple Maths Age Problem

Peter"s adolescence lasted for 1/6 of his life. He grew facial hair after 1/12 more. He married Susanne after 1/7 more of his life. She gave birth to a beautiful daughter after 5 years. The daughter lived 1/2 of what Peter lived. Peter died four years after his daughter.

Can you find out how long did Peter live?

84

Suppose that Peter lived for x years.

According to the question:
x/6 + x/12 + x/7 + 5 + x/2 + 4 = x
=> x = 84.

Thus, Peter lived for 84 years.

#1615 - Equal Jars Water Riddle

You have 21 jars with you. Out of them, 7 are filled with water, 7 are half-full with water and 7 are empty. How will you distribute the jars among three people such that each one of them gets the equal number of jars and equal amount of water?

Give 3 full, 1 half-full and 3 empty bottles to the first person.
Give 3 full, 1 half-full and 3 empty bottles to the second person.
Give 1 full, 5 half-full and 1 empty bottle to the third person.

#1616 - Letter To Number Puzzle

In the figure that has been attached with this question, each digit represents a digit. The similar letters carry the same integer value.Can you expose the original digits?

Letter To Number Puzzle

See the picture for the answer. T = 1W = 3O = 8H = 9R = 0E = 4

#1617 - Picture Rebus

Solve the rebus below ?

Picture Rebus

end up behind bars

Check that the word "END" is spelled in an upward direction behind 3 occurrences of the word "BAR".

#1618 - Fresh Egg Trick Riddle

A container contains hundred eggs. They can be either fresh or rotten. What is sure is the fact that there is at least one fresh egg in that container.

If you are asked to pick two eggs randomly from the container, at least one of them will be rotten.

Can you calculate how many eggs in that container are fresh ?

Only one egg in that container is fresh.

The question tells us that at least one egg in that container is fresh. Then the question says when two eggs are picked at random, at least one egg will be rotten. This concludes that all the other 99 eggs are rotten or there would have been possibility of picking two fresh eggs as well.

#1619 - Simple Statement Riddle

A shepherd had twenty sheep, out of which, all but thirteen died.

Can you tell us how many sheep was he left with?

He was left with thirteen sheep.

The phrase "all but thirteen died" actually means that all except thirteen died.

#1620 - Find The Missing Number In The Series

Complete the following series by finding the missing last term.
2, 12, 36, 80, 150, __?

252

The pattern that has been followed in the given series is:
n^3 + n^2, where n = 1, 2, 3, ....

1^3 + 1^2 = 1 + 1 = 2
2^3 + 2^2 = 8 + 4 = 12
3^3 + 3^2 = 27 + 9 = 36
4^3 + 4^2 = 64 + 16 = 80
5^3 + 5^2 = 125 + 25 = 150

Following the same pattern, the last term is:
6^3 + 6^2 = 216 + 36 = 252.