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1 , 17 , 98 , 354 , ?

January 22, 2018 by karthi jayapal 1 Comment

Number Puzzle #180

What will be the next number in this series?

1 , 17 , 98 , 354 , ?

Check your answer:-

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Click here to See SolutionHide

If you see the difference between the numbers
16, 91, 256
2^4, 3^4, 4^4

next difference should be 5^4 i.s. 625, thus the next number should be 354+625 => 979

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-1¹²¹-1¹²² -1¹²³-1¹²⁴ =?

January 19, 2018 by karthi jayapal Leave a Comment

-1¹²¹ -1¹²² -1¹²³ -1¹²^⁴ =?

Check your answer:-

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Click here to See Solution
-1^n is 1 (if n is even) OR -1 (in n is odd)

but in this equation power is on 1 not -1
-1¹²¹-1¹²² -1¹²³-1¹²^⁴ = -1-1-1-1 = -4

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complete the series 11,15,19,18,26,21,32, 24,37,__ __

December 19, 2017 by Vaishnavi Bansod Leave a Comment

Number Puzzle #179

 

What will be the next number in this series?

11,15,19,18,26,21,32, 24,37,____

Check your answer:-

Next number

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Next to next number
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Answer With ExplanationHide
there are two series in this puzzle,
First is 11,19,26,32,37 & second is 15,18,21,24

first series is AP with a decreasing difference
11 -> 19 => 8
19 -> 26 => 7
26 -> 32 => 6
32 -> 37 => 5
thus next number should be 37 + 4 => 41

second series is AP with a difference of 3
15, 18, 21, 24 => next number should be 27

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Find next number in following sequence

September 23, 2017 by Reza Ghazi Leave a Comment

What will be the next number in below sequence?

0, 1, 5, 19, 65, 211, ?

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Answer With ExplanationHide
Answer: 665
explanation:
it follows this equation 3^n – 2^n where n is integer starting from 0

thus
3^0 – 2^0 = 1 – 1 = 0
3^1 – 2^1 = 3 – 2 = 1
3^2 – 2^2 = 9 – 4 = 5
3^3 – 2^3 = 27 – 8 = 19
3^4 – 2^4 = 65
3^5 – 2^5 = 211
3^6 – 2^6 = 729 – 64 = 665

There is one more way to solve this

3*previous number + 2^(n-1)

0x3+1=1;
1×3+2=5;
5×3+4=19;
19×3+8=65;
65×3+16=211;
211×3+32=665;

wondering how it is possible?

lets solve 3*previous number + 2^(n-1)

=> 3*(3^(n-1) – 2^(n-1)) + 2^(n-1)
=> 3^n – (2+1)*2^(n-1) + 2^(n-1)
=> 3^n – 2^n – 2^(n-1) + 2^(n-1)
=> 3^n – 2^n i.e. our first equation

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How to buy six products from 20rs?

September 18, 2017 by jspkbsp svkv 3 Comments

How to buy six products from 20Rs. without using Paisa & without repeating numbers ?

Click here to See SolutionHide
It’s not possible. The sum of the 6 smallest digits(1,2,3,4,5,6 is 21) is greater then 20

Rs 6 , Rs5 , Rs4, Rs3, Rs 2, and one item should be free Rs0 (free with other 4 items)

0+2+3+4+5+6=20

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Find out the missing digit – 30 43 51  ?

September 2, 2017 by Avtar Verma 1 Comment

Number Puzzle #175

find out the missing number

2    3    1    2
3    4    4   5
5    6   6    7
30 43 51  ?

Check your answer:-

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Click here to See SolutionHide
Answer by Paramjeet Dubey

For each column

-2*2+3*3+5*5=30,
-3*3+4*4+6*6=43,
-1*1+4*4+6*6=51,
-2*2+5*5+7*7=70

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IF 5 7 3 20 10 30 then 95 45 ?

August 1, 2017 by Shekhar Shivi 1 Comment

Number Puzzle #174

IF
5 7 3
20 10 30
then
95 45 ?

Check your answer:-

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Click here to See SolutionHide
it follows this logic => 2*first digit – second digit
2×5-7=3
2×20-30=10
2×95-45=145

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Missing number Puzzle X 21 147

July 28, 2017 by Ashish Deuskar Leave a Comment

Number Puzzle #173

2 6 18
4 20 100
X 21 147

find X

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Answer With ExplanationHide
Answer: X = 3
Solution
in first row next number is a multiplication of 3 and the previous number
second row, next number is a multiplication of 5 and the previous number
in third row 3rd number (147) is a multiplication of 7 and previous number, i.e. 21, thus X*7 = 21 => x = 21/7 = 3

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IF 1=2, 2 = 10, 3 = 30, 4=68 Then 5 =?

April 5, 2017 by Anuj Shrotriya 8 Comments

Number Puzzle #171

IF

1=2

2=10

3=30

4=68

Then 5 = ?

Check your answer:-

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Answer With ExplanationHide
Answer: 130
Explanation:

1=(1x1x1)+1=2
2=(2x2x2)+2=10
1=(3x3x3)+3=30
4=(4x4x4)+4=68
5=(5x5x5)+5=130

answered by Mohammad khalid!!

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Number Puzzle #171

April 3, 2017 by Sagar Rox 1 Comment

Find out the numbers in the boxes

IMG-20170301-WA0005

A + B = 8
+ +
C – D = 6
|| ||
13 8

Check your answer:-
Top Left Box

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Top Right Box
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Bottom Left Box
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Bottom Right Box
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Answer With Explanation
Answer:

3.5 + 4.5 = 8
+ +
9.5 – 3.5 = 6
|| ||
13 8

Explanation:
We can make four equations
A+B = 8
C-D = 6
A+C = 13
B+D = 8

now we have four variables with four equations so it should be easy to solve. let’s solve these four equations

if we add the four equations
A+B+C-D+A+C+B+D = 8 + 6 + 13 + 8
2(A+B) + 2C = 35
2C = 35 – 2*8 —- by replacing A+B
2C = 35 – 16 = 19
C = 9.5

from 2nd Equation C – D = 6
D = C – 6
D = 9.5 – 6
D = 3.5

from 3rd equation
A+C = 13
A = 13 – C
A = 13 – 9.5
A = 3.5

from 4th equation
B + D = 8
B = 8 – D
B = 8 – 3.5
B = 4.5

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