#41 - Hard Picture Series Digit Puzzle

In the picture given below, can you find out which digit will take place of the question mark?

Hard Picture Series Digit Puzzle

The number that will come place in place of question mark is 0.

If you add the numbers in each diagonals, you will find that the sum is 25 every time.

#42 - Find Next Digit Series Riddle

Can you find out the next digit in the following series ?

0, 0, 1, 3, 2, 6, 3, 9, 4, 12, 5, ?

The next number is 15.
In the given series, there is actually a pair of series. Pick the alternate digits.
One series is:
0, 1, 2, 3, 4, 5
Here the digits are progressing by one.

Second series is:
0, 3, 6, 9, 12, _
Here the digits are a multiple of 3. Therefore, the next number will be 15.

#43 - Cipher Logic Riddle

DEAD, BALL, FEAR, SHOP
The above mentioned letters have been placed in that order using a logic.

Can you find that logic?

A = 1, B = 2, C = 3....

DEAD = 4 + 5 + 1 + 4 = 14
BALL = 2 + 1 + 12 + 12 = 27
FEAR = 6 + 5 + 1 + 18 = 30
SHOP = 19 + 8 + 15 + 16 = 58

Now, 14 < 27 < 30 < 58

Therefore, the order
DEAD, BALL, FEAR, SHOP

#44 - Find Out The Missing Numbers

In the given figure, can you find out the missing numbers?

Find Out The Missing Numbers

The missing numbers are 8 and 7.

The middle number in the triangle is nothing but the square root of the sum of the numbers in the corner.

10 + 22 + 4 = 36
Square Root of 36 = 6

Similarly
10 + 42 + 12 = 64
Square Root of 64 = 8

12 + 22 + 15 = 49
Square Root of 49 = 7

#45 - Number Sequence Pattern Problem

In the following series, a set of numbers is progressing with a particular patter. Can you deduce that pattern and find the missing set?

(2 + 6), (21 + 6), (58 + 6), (119 + 6), ___

210+6

The second digit in each set is 6.
If you add the numbers, you will find that they add up to be the cube of 2, 3, 4 and 5.

The next number is 6 and the cube of 6 is 216.

Thus, the last set will be (210 + 6).

#46 - Find The Missing Number In The Series

Complete the following series by finding the missing last term.
2, 12, 36, 80, 150, __?

252

The pattern that has been followed in the given series is:
n^3 + n^2, where n = 1, 2, 3, ....

1^3 + 1^2 = 1 + 1 = 2
2^3 + 2^2 = 8 + 4 = 12
3^3 + 3^2 = 27 + 9 = 36
4^3 + 4^2 = 64 + 16 = 80
5^3 + 5^2 = 125 + 25 = 150

Following the same pattern, the last term is:
6^3 + 6^2 = 216 + 36 = 252.

#47 - Blocks Sequence Puzzle

Can you find out which options fits best with the missing column?

Blocks Sequence Puzzle

Option "d" will fit in the missing space.

What is happening here? In every next column, the order is getting reversed and the lowest digit is omitted.

#48 - Find The Next number In The Series

Find the next number in the following series:
6, 14, 26, 98, __?

The next number will be 276.

6 = 1^1 + 2^1 + 3^1
14 = 1^2 + 2^2 + 3^2
36 = 1^3 + 2^3 + 3^3
98 = 1^4 + 2^4 + 3^4
276 = 1^5 + 2^5 + 3^5

#49 - Missing Number Picture Puzzle

Can you find out the missing number in the picture attached?

Missing Number Picture Puzzle

11

The number on the extreme right is one-half of the product of the other two numbers.

36 = (18*4)/2
45 = (15*6)/2

Therefore, 44 = (8*x)/2
X = 11.

Thus, the missing number is 11.

#50 - Missing Number Series

Can you find a pattern and find the missing number in the series given below?
84, 155, 258, ? , 584, 819.

399

4^3 + 3^2 + 4 = 84
5^3 + 5^2 + 5 = 155
6^3 + 6^2 + 6 = 258
8^3 + 8^2 + 8 = 584
9^3 + 9^2 + 9 = 819

Therefore the missing number is:
7^3 + 7^2 + 7 = 399.