**Number Puzzle #163**

What next

2 , 2.5 , 3.33 , 4.25 , _ , _ ?

Check your answer:-

First Number

Second Number

Click here to See Solution2+1/2

3+1/3

4+1/4

thus next numbers should be

5+1/5 and 6+1/6

**Number Puzzle #163**

What next

2 , 2.5 , 3.33 , 4.25 , _ , _ ?

Check your answer:-

First Number

Second Number

Click here to See SolutionHide
here the series is

2+1/2

2+1/2

3+1/3

4+1/4

thus next numbers should be

5+1/5 and 6+1/6

Number Puzzle #162

10×11×12=9

11×12×13=9

12×13×14=9

13×14×15=9

14×16×20=?

Check your answer:-

Click here to See SolutionTo solve this, replace a n digit number by adding all digits, and solve, keep on repeating it until you get single digit.

10×11×12={(1+0)×(1+1)×(1+2)}^2 =6^2=36=3+6=9

11×12×13={(1+1)×(1+2)×(1+3)}^2 =24^2 =(2+4)^2=36=3+6=9

12×13×14={(1+2)×(1+3)×(1+4)}^2 =60^2 =(6+0)^2 =36 =3+6=9

13×14×15={(1+3)×(1+4)×(1+5)}^2 =120^2 =(1+2+0)^2 =9

14×16×20={(1+4)×(1+6)(2+0)}^2 =70^2 =(7+0)^2 =49 =4+9=13=1+3=4

Number Puzzle #161

If

2-1=3

4-4=0

8-5=40

10-10=???

Check your answer:-

here a-b=axa+(a/2)x(a/2)-axb

2-1=2×2+(2/2)x(2/2)-2×1=3

8-5=8×8+(8/2)x(8/2)-8×5=40

4-4=4×4+(4/2)x(4/2)-4×4=4

thus

10-10=10×10+(10/2)x(10/2)-10×10=25

Number Puzzle #160

Check your answer:-

Click here to See SolutionHideDifference of the numbers are following a patter

5 -3 => 2 (1*1*1+1)

33 -5 => 28 (3*3*3+1)

next difference should be (5*5*5 +1) => 126, so 33 + 126 => 159

503 -159 => 344 (7*7*7+1)

1233 -503 => 730 (9*9*9+1)

soln by our readers in comments.

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

Check your answer:-

Click here to See SolutionHide
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

(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 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

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