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Number Puzzle #29

March 28, 2013 by puzzler 1 Comment

IF 1 = 3 2 = 6 3 = 9 4 = 12 Then, 5 = ?

IF 1 = 3
2 = 6
3 = 9
4 = 12
Then, 5 = ?

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Answer is 15

How?
Its simple, just multiply the number by 3.

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Number Puzzle #28

March 28, 2013 by puzzler 12 Comments

 

IF 1+2 = 3 3 + 4 = 21 5 + 6 = 55 Then 4 + 5 = ?

IF 1+2 = 3
3 + 4 = 21
5 + 6 = 55
Then 4 + 5 = ?

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Answer is 36

Explanation:
1 + 2 => (1)^2 + (1*2) = 3
3 + 4 => (3)^2 + (3*4) = 21
5 + 6 => (5)^2 + (5*6) = 55
Thus 4 + 5 => (4)^2 + (4*5) = 36

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3 SUM problem

March 27, 2013 by puzzler Leave a Comment

Problem Statement:
Given a set S of n integers find all possible subsets(a,b,c) such that a + b + c = 0.

Solution:
Brute force approach is of O(n^4) but we can solve it in O(n^2) by using the approach in Non duplicate pairs that sum to S.

First sort the array(Order O(nlogn)), than finding a, b, c pairs is equal to finding=> For every element a in the array, if there exists a pair with sum equal to -a. As explained in Non duplicate pairs that sum to S, we can get the pair with sum -a in O(n) and we have to repeat this exercise n times so order of complexity will be O(n^2).

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Number Puzzle #27

March 27, 2013 by puzzler 1 Comment

 

13, 25, ? 16, 28, 35 19, 31, 28

13, 25, ?
16, 28, 35
19, 31, 28
What is the missing number.

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Answer is 32

How?
If you see the rows every next number = previous number in the row +3.

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Number Puzzle #26

March 27, 2013 by puzzler Leave a Comment

 

Find the missing number

Find the missing number

This puzzle is courtesy , shared on puzzlersworld facebook page.
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Answer is 2

How?
7*6 = 4 2
9*9 = 8 1
5*3 = 1 5
6*2 = 1 2

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Number Puzzle #25

March 21, 2013 by puzzler 1 Comment

 

Whats the missing number in the triangle

Whats the missing number in the triangle

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Answer is 125

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Number Puzzle #24

March 21, 2013 by puzzler 1 Comment

 

number puzzle 24

number puzzle 24

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Answer is 90.

How?
Number on the bigger line is the multiplication of the numbers on the adjacent smaller lines, thus the answer should be 10*9=90.

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Number Puzzle #23

March 20, 2013 by puzzler 2 Comments

 

number puzzle 23

Find the missing number

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Answer is 36

How?
Actually number on the right side is the square of the exact opposite number.
thus the missing number should be 6^2.

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Number Puzzle #22

March 20, 2013 by puzzler 1 Comment

number puzzle 22

Find the missing number

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Answer is 10

How?
There is gap of 4 between numbers
8+4 = 12
3+4 = 7
9-5 = 4
simillarly
?-4 = 6=> ?=10

NOTE: there is a better and shorter explanation(suggested by Guestlogic in comment), opposite numbers sum is 15, that’s why answer should be 15 – 5 = 10

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Number Puzzle #21

March 20, 2013 by puzzler Leave a Comment

 

number puzzle 21

number puzzle 21

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Answer is 14

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