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Average Age Puzzle #41

April 28, 2013 by puzzler Leave a Comment

Average Age Puzzle

Average age of a 10 members committee is same as it was 4 years ago, because an old member is replaced by a younger member. What is difference between the younger member and the old member age.
Or in other words, how younger he is from his counterpart?

Tried enough already?
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Lets say sum of the 10 members 4 years ago was S, now it should have been S+40. assume old member’s age was x(now) and younger members age is y(now).
S + 40 -x +y = S=> x -y = 40.

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9 digit number #46

April 27, 2013 by puzzler Leave a Comment

9 digit number puzzle

There is a 9 digit number. No digit are repeated and rightmost digit is divisible by 1 and right 2 digits is divisible by 2, right 3 digits is divisible by 3 and so on, finally the whole number is divisible by 9.

Can you find out the number?

See SolutionHide Solution
As the right two digits are divisible by 2, so rightmost digit should be even, at the same time right 5 digits are divisible by 5 so the rightmost digit can be 5 or 0, but as it should be even so it can only be 0.

Now, Right 4 digits are divisible by 4, so the rightmost two digits can be either 20, 40, 80 or 60.
To be divisible by 9 the digits of a number must sum to a multiple of 9. Adding the 10 digits together (0+1+2+…+8+9) gives 45 which is div by 9. However, this is a 9-digit number so we have to drop one from the ten. We can only take out 0 or 9 and still have the remaining digits sum to a multiple of 9. We’ve already shown that 0 is present so the 9 is dropped.
Right 3 digits are divisible by 3 so these 3 digits can be 120, 420, 720, 240, 540, 840, 180, 480, 780, 360.
Now to be divisible by 6 sum of the six digits should be divisible by 3 and it should also be even, which it is.

There is no rule for divisible by 7 so we just have to take digits such that they are divisible by 7, there can be many such numbers and one such number is 123567480.

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Coins and sandwiches

April 23, 2013 by puzzler 1 Comment

Three friends A, B and C went on a trip.
A didn’t carry any food with him but had 13 Coins. B had 6 sandwiches, and C had 7 sandwiches with him (Total 13 Sandwiches).

They decided to share the food equally and in return A would give away all 13 coins to B & C.

How should B & C distribute the money?


Click here to See SolutionHide

Coins and sandwiches solution

Since they have to share the sandwiches equally, each of them will get 13/3 sandwiches.

Hence the sandwiched contributed by B and C to A.
B: 6 – 13/3 = 5/3
C:7 -13/3 = 8/3

Now A should give the money in the ratio of what he got from B and C, i.e.
5/3:8/3 :: 5:8

Hence B will get 5 and C will get 8 coins.

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Number Puzzle #40

April 22, 2013 by puzzler Leave a Comment

 

3,7,5=>26 3,2,1=>5 2,8,6=>44 5,4,9=>?

3,7,5=>26
3,2,1=>5
2,8,6=>44
5,4,9=>?

Check your answer:-

Tried enough already?
See ExplanationHide Explanation
Multiplication of bigger numbers – (square of remaining number).

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Guess the room number

April 22, 2013 by puzzler Leave a Comment

It was the first day of our second semester and we were looking for our hostel room numbers allotted, we saw that one of our friend was already allotted the room number last night and he challenged us to guess his new room number. We gave following answers

135, 780, 785 and 732.

He said, “That’s amazing”, “You’ve each guessed exactly one digit correctly and in its right place!”

Now can you guess what is his room number ?

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Answer

Answer is 182

How?

explanation

The first digit must be 1 or 7. It can’t be 7 as only one digit is correct in each guess. So it’s 1.

The other digits in guess #1 (i.e. 3 and 5) must be incorrect. Therefore, from guess #3, the second digit is 8.

Guess #4 has a correct digit which must be its third, i.e. 2.

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Shopkeeper and duplicate note

April 21, 2013 by puzzler 108 Comments

 

shopkeeper and duplicate note

shopkeeper and duplicate note

A very simple but confusing puzzle.
A lady buys goods worth Rs.200 from a shop. (shopkeeper is selling the goods with zero profit). The lady gives him Rs.1000 note. The shopkeeper gets the change from the next shop and keeps Rs.200 for himself and returns Rs.800 to the lady. Later the shopkeeper of the next shop comes with the Rs.1000 note saying “duplicate” and takes his money back.
How much LOSS did the shopkeeper face?

Check your answer:-

Tried enough already?


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Answer

The answer is Rs.1000
How?

Solution 1

To get the loss of shopkeeper we can get the profit lady and the other shopkeeper.

Loss of first shopkeeper = (Profit of the lady + Profit of the second shopkeeper)

Profit of the lady = Rs.200(for goods) + Rs.800(for the change she received) = Rs.1000
Profit of the second shopkeeper = Rs.0(as he got his money back)
So the loss of the shopkeeper is = 1000 + 0 = Rs.1000

Solution 2

Second way of looking at is what shopkeeper gave to others and what is took from others

Loss of the shopkeeper = What he gave to others - what he took.

What he took
From Lady: Nothing(as the note was a duplicate one)
From Second Shopkeeper: Rs.1000
What he gave
To Lady:- Rs.200(goods) + Rs.800(change)
To second shopkeeper: Rs. 1000
So the loss = (200 + 800 + 1000) – (1000) = Rs.1000

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Number Puzzle #39

April 14, 2013 by puzzler 1 Comment

Number puzzles for 5th graders

IF 1 + 2 + 3 = 18 2 + 3 + 4 = 27 3 + 4 + 5 = 36 4 + 5 + 6 = 45 THEN: 5 + 6 + 7 = ??

IF 1 + 2 + 3 = 18
2 + 3 + 4 = 27
3 + 4 + 5 = 36
4 + 5 + 6 = 45
THEN: 5 + 6 + 7 = ??

Check your answer:-

Tried enough already?
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Answer is 54.
How?
Sum multiplied by 3.

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Number Puzzle #38

April 13, 2013 by puzzler 1 Comment

 

Number puzzle 38

Number puzzle 38

Check your answer:-

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Answer is 17.
How?
Number outside the circle is sum of the numbers along the line(opposite to the number). thus missing number is 9+8 = 17.

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Number Puzzle #37

April 12, 2013 by puzzler 2 Comments

Number puzzles for kids, only for genius one’s 🙂

IF Star + Ball= 9 Star - Ball = 3 Then: Ball*Start = ?

IF Star + Ball= 9
Star – Ball = 3
Then: Ball*Start = ?

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Answer is 18

How?
Star + Ball + Star – Ball = 9 + 3
2*Start = 12;
Star = 6;
Ball = 9-6 = 3;
Ball * Star = 3*6 = 18.

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Number Puzzle #36

April 7, 2013 by puzzler 7 Comments

Number puzzles for kids, only for genius one’s 🙂

IF: 111 = 13 112 = 24 113 = 35 114 = 46 115 = 57 Then: 117 = ?

IF: 111 = 13
112 = 24
113 = 35
114 = 46
115 = 57
Then: 117 = ?

See AnswerHide Answer

Answer is 79

How?
Answer is in this format : <last digit><sum of all digits>
thus answer to this number puzzle will be 79.

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