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What is the missing number in sequence

July 6, 2013 by puzzler 1 Comment

 

What is the missing number in the series 1, 4, 27,____, 3125?

What is the missing number in the series 1, 4, 27,____, 3125?


Check your answer:-

Tried enough already?
See SolutionHide Solution
Missing number in the sequence will be 256.
How?
Here Tn = n^n;
thus T4 = 4^4 = 256;

Checkout more Number Puzzles Tags: Series, Solved Puzzles

Number Puzzle #55

July 1, 2013 by puzzler Leave a Comment

 

IF 6 + 3 = 39 9 + 4 = 513 18 + 16 = 234 Then 6 + 5 = ???

IF
6 + 3 = 39
9 + 4 = 513
18 + 16 = 234
Then
6 + 5 = ???


Check your answer:-

Tried enough already?
See ExplanationHide Explanation
Its following this logic:
A + B = <A+B>
Thus 6 + 5 = <6-5><6+5> = 111

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Guess the pincode

June 24, 2013 by puzzler 3 Comments

A person forgot his 5 digit pin code, but he remembers some hints.

  1. 1st digit is square of 2nd digit.
  2. Sum of 2nd and 3rd digit makes 10.
  3. 4th digit is 2nd digit+1.
  4. Sum of 5th and 3rd digit makes 14.
  5. Sum of all 5 digits = 30

Can you guess the person’s pin code from above hints ?

See AnswerHide Answer

Pin code is 93747.
How?
Lets assume second digit is x, then first digit should be x^2 and fourth digit should be x+1.

also assume, 3rd digit is y then 5th digit should be 14-y.
So the number will look like this:-
<x^2><x><y><x+1><14-y>

As we also know the sum of all digits, we can say

x^2 + 2x +1 +14 = 30
(x+1)^2 = 16
x+1 = 4
x = 3

As sum of 2nd and third digit is 10 => x+y = 10 => y=7
Thus the pin code is 93747.

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Missing numbers in series

June 23, 2013 by puzzler 3 Comments

 

missing numbers in the series 4, 10, 22, 46, ?, ?, 382

missing numbers in the series 4, 10, 22, 46, ?, ?, 382


Find the missing numbers in this series: 4, 10, 22, 46, _____, _____, 382
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Missing numbers in the series are: 94 and 190.

How ?
Every number in the series is following this pattern
Next number = (previous number)*2 + 2;

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0.999… = 1 #55

June 7, 2013 by puzzler Leave a Comment

0.9999999…….. = 1, true or false?

0.999.... = 1, Right or Wrong?

0.999…. = 1, Right or Wrong?


See AnswerHide Answer

Its Right, yes 0.999 followed by infinite 9’s is equal to 1.

Proof 1 for 0.999… = 1

x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1

Proof 2 for 0.999… = 1

1/3 = 0.333...
3x(1/3) = 3x(0.333...) = 0.999...
1 = 0.999...

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What is the next number in sequence? #54

June 4, 2013 by puzzler 1 Comment

 

what is the next number in sequence

what is the next number in sequence

See AnswerHide Answer


Next number in the series will be 3263442.
How?
every number in the sequence= (previous number)x(previous number +1)
thus next number in this sequence will be 1806*1807 = 3263442.

Checkout more Number Puzzles Tags: Easy, Mathematical Puzzle, Series, Solved Puzzles

Get number 28 # 53

May 30, 2013 by puzzler Leave a Comment

How you can get number 28 by using following numbers and operators

Numbers: 1, 5, 7 and 8.
Operators: +, -, * and /
You can use ( ) brackets as well.

Rules:-

  1. You can use each number only once.
  2. You can not use 1 and 5 as 15.
  3. You have to use all of the above number mentioned (1,5,7 and 8)


See AnswerHide Answer

There are multiple solutions
Solution 1: (8-5+1)*7 = 28
Solution 2: 7*5 – 8 + 1 = 28

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10 digit number #52

May 28, 2013 by puzzler 1 Comment

Find the 10 digit number satisfying below conditions

Its first digit is the number of occurrence of 0’s in the number.
Second digit is the number of occurrence of 1’s in the number.
Third digit is the number of occurrence of 2’s in the number.
4th digit is the number of occurrence of 3’s in the number.
and so on up to 10th digit(which is number of occurrence of 9’s in the number).

See AnswerHide Answer

Only 10 digit number satisfying these conditions is 6210001000.

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Next number in series? #51

May 27, 2013 by puzzler 1 Comment

 

what is next number in this series? 1, 2, 3, 5, 8, ???

what is next number in this series? 1, 2, 3, 5, 8, ???
Hint: this is a classic and very important series.

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Next number in the series will be 13.
How?
every number in this series is sum of previous two numbers, thus the next number should be 5 + 8 = 13.
This classic and very important series is called Fibonacci series.

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What is the next number in series? #50

May 26, 2013 by puzzler 2 Comments

 

what is the next number in series

23, 5, 12, 3, 15, 13, ???
Hint: A way to say “HELLO”

See SolutionHide Solution
Next number in series will be 5.
How?
its WELCOME, where each letter is replaced by its sequence number in the english alphabets.

Checkout more Alphabetical Puzzles, Number Puzzles Tags: medium, Series, Solved Puzzles

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