### Number Puzzle #159

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

10 3 4 5 7 2

‘ 29 4 ?

8 4 6 1 3 5

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

10 3 4 5 7 2

‘ 29 4 ?

8 4 6 1 3 5

IF

3 x 2 = 9

5 x 4 = 24

7 x 6 = 52

THEN 9 x 8 = ?

2 = 25

3 = 345

4 = 5562

then 5 = ?

16 – 10 = 4

117 – 99 = 9

Then 1000 – 265 = ?

This puzzle is courtesy Pranav, shared via Whatsapp

Check your answer:-

Click here to See Solution
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

Number Puzzle #156

If 1 + 4 = 5

2 + 5 = 12

3 + 6 = 21

Then 8 + 11 = ?

Check your answer:-

Click here to See Solution
its

(first number * second number) + first number

so

8 + 11 = 8*11 + 8 = 88 + 8 = 96

(first number * second number) + first number

so

8 + 11 = 8*11 + 8 = 88 + 8 = 96

11×11=171

12×12=220

13×13=251

14×14=304

15×15=?

Check your answer:-

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

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

Number Puzzle #154

Reply as fast as you can

If 817 = 7

909 = 9

453 = 3

Then what is 1246 = ?

Check your answer:-

Click here to See Solution
its the sum of all digits in the number till you get single digit

so 1+2+4+6 => 13 => 4

so 1+2+4+6 => 13 => 4

This puzzle is courtesy pranav, shared on whatsapp

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

Check your answer:-

lets assume the amount in the check was x dollars and y cents

though he received y dollars and x 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**

3 = 1

3 = 2

5 = 3

4 = 4

4 = 5

3 = 6

5 = 7

5 = 8

4 = 9

? = 10

6 = 11

Check your answer:-

Click here to See SolutionHide
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.

8 3 4

9 4 6

12 2 ?

Check your answer:-

Click here to See ExplanationHide

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 = 4

8 x 3 = 24. Divide by 6 = 4

9 x 4 = 36. Divide by 6 = 6

12 x 2 = 24. Divide by 6 = 4

By 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 or vertically.

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