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Number in the middle box ?

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Number Puzzle #159

Solve this 5 boxes puzzle, what will be the value of the middle box in 3rd set ?
5 boxes puzzle

10          3                      4               5                       7              2

‘      29                                    4                                       ?

8            4                      6               1                        3             5

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the logic is
(first digit square + second digit square) – (third digit square + fourth digit square)
(10^2 + 3^2)-(8^2+4^2) = 29
(4^2 +5^2) – (6^2 +1^2) = 4
(7^2 + 2^2) – (3^2 +5^5) =19

IF 3-2 = 2, 16-10 = 4

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Number Puzzle #157

1000 - 265 = ?

If 3 – 2 = 2
16 – 10 = 4
117 – 99 = 9
Then 1000 – 265 = ?

This puzzle is courtesy Pranav, shared via Whatsapp

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if you write the numbers in english words and than subtract the total number of alphabets in both the word, you will get the answer

for example
three – two = 2
sixteen – ten = 4
one hundred seventeen – ninety nine = 19 – 10 = 9
so
one thousand – two hundred sixty five = 11 – 19 = -8

IF 11×11 = 171

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Number Puzzle #155

Number Puzzle #155, If 11x11=171
11×11=171
12×12=220
13×13=251
14×14=304
15×15=?

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11×11 = 121 = 171 in base 8
read here on how to convert one number from 10 base to another base
by following that:
121/8 = 15 R 1
15/8 = 1 R 7

= 1*8^2 + 7*8^1 + 1*8^0 = 171

thus 15×15 = 225
225/8 = 28 R 1
28/8 = 3 R 4
= 3*8^2 + 4*8^1 + 1*8^0 = 341

OR you can try this online tool to convert the base

Answer courtsey: George Georgiev

If 817=7, 909=9,453=3, then 1246 = ?

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Number Puzzle #154

817-7-909-9-453-3-1246-?

Reply as fast as you can
If 817 = 7
909 = 9
453 = 3
Then what is 1246 = ?

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its the sum of all digits in the number till you get single digit
so 1+2+4+6 => 13 => 4

This puzzle is courtesy pranav, shared on whatsapp

Fill in the check

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dollar cents check misplaces

I cashed a check

By mistake the cashier gave me cents instead of dollars and dollars instead of cents. I spent five cents on the way home, and then discovered that i possessed exactly twice the amount of the check. What was the exact amount on the check ?

this puzzle is shared by leonard henderson on our facebook page
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lets assume the amount in the check was x dollars and y cents
though he received y dollars and x cents

after spending 5 cents, his money is twice the amount on the check, i.e. 100y+x -5 = 2(100x + y)
98y = 199x + 5

we need to find two numbers in the exact multiple series of 98 and 199 which differs by 5.
98’s multiple series: 98,196,294,392,490,588,686,784,882,980,1078,1176,1274,1372,1470,1568,1666,1764,1862,1960,2058,2156,2254,2352,2450,2548,2646,2744,2842,2940,3038,3136,3234,3332,3430,3528,3626,3724,3822,3920,4018,4116,4214,4312,4410,4508,4606,4704,4802,4900,4998,5096,5194,5292,5390,5488,5586,5684,5782,5880,5978,6076,6174

199’s multiple series: 199,398,597,796,995,1194,1393,1592,1791,1990,2189,2388,2587,2786,2985,3184,3383,3582,3781,3980,4179,4378,4577,47764975,5174,5373,5572,5771,5970,6169,6368,6567,6766,6965,7164,7363,7562,7761,7960,8159,8358,8557,8756,8955,9154,9353,9552,9751,9950

 

98*63 = 199*31 +5

thus the amount on the check was 31 dollar and 63 cents.

Number Puzzle #152

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Number Puzzle #152

3 = 1
3 = 2
5 = 3
4 = 4
4 = 5
3 = 6
5 = 7
5 = 8
4 = 9
? = 10
6 = 11

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Left side is the number of letters in the spelling of right side number

As 10, i.e. TEN has 3 letters, answer would be 3.

Number Puzzle 8 3 4 9 4 6 12 2 ?

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Number Puzzle #151

Number-Puzzle-#151

8 3 4
9 4 6
12 2 ?
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Here is the best explanation by one of the reader Lee Mann
By row:
8 x 3 = 24. Divide by 6 = 4
9 x 4 = 36. Divide by 6 = 6
12 x 2 = 24. Divide by 6 = 4By column:
8 x 9 = 72. Divide by 6 = 12
3 x 4 = 12. Divide by 6 = 2
4 x 6 = 24. Divide by 6 = 4

I agree that if you work in columns then by adding the first two numbers and subtracting 5 then you get an answer of 5 as explained by various people above. However, if you work by row and add the first two numbers then subtracting 5 won’t work [you need to subtract 7] to get the final number.

Multiplying the first two numbers and then dividing by 6 works horizontally and vertically.

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