Number Series Questions With Answers

181

Pattern is +11, +33, +55, +77

23

Interchange the digits in the square. You will find that all these number are squares of some or other number. Now, the number inside the circle is the sum of square roots of the numbers in squares.

In the 3rd diagram, 61 = 16 and square root = 4
90 = 09 and square root = 3
18 = 81 and square root = 9
94 = 49 and square root = 7

4 + 3 + 9 + 7 = 23.

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.

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.

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.

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.

264

The value of pi to 100 digits is
1415926535897932384626433832795028841971693993751058209749445923078164
062862089986280348253421170679

141

Its a sequence on prime number(post number 100) + 10.
7 prime number after 100 are listed below.
101 , 103 , 107 , 109 , 113 , 127 , 131

Our solution is 131+10 => 141

282

Explanation:
It is a Number*3 + 3

2 x 3 + 3 = 9
9 x 3 + 3 = 30
30 x 3 + 3 = 93
93 x 3 + 3 = 282.

The number that will replace the question mark is 0. This is because, in this number pie, the diagonals add up to 25.