Question 1

311, 230, 294, ?, 281, 256 What will come in place of the question mark (?) in the above number series?

Accepted Answer

Given 311 230 294 ? 281 256 311 - (9x9) = 230 230 + (8x8) = 294 294 - (7x7) = 245 245 + (6x6) = 281 281 - (5x5) = 256 Hence, the missing number in the given series is 245.

Question 2

Please enter the Missing number: 4 8 14 22 ?

Accepted Answer

Here the given series follows a pattern that, 22 - 0 = 4 32 - 1 = 8 42 - 2 = 14 52 - 3 = 22 62 - 4 = 32 Hence, the missing number is 32 Method 2 :: The difference between 4 and 8 is 4, the difference between 8 and 14 is 6, the difference between 14 and 22 is 8. So the next difference between 22 and the next number will be 10 since it follows (4,6,8,10 - add +2 each time) Hence, 22 + 10 = 32 is the missing number.

Question 3

Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,...

Accepted Answer

Arithmetic Series :: An Arithmetic Series is a series of numbers in which each term increases by a constant amount. How to find the sum of the Arithmetic Sequence or Series for the given Series :: When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence. That is given by S n = n ( a 1 + a n ) 2 Where n = number of terms, a1 = first term, an = last term Here Last term is given by a n = a 1 + n - 1 d where d = common difference Now given Arithmetic Series is 2, 5, 8, 11,... Here a1 = 2, d = 3, n = 36 Now, a n = a 1 + n - 1 d a 36 = 2 + 36 - 1 3 = 105 + 2 = 107 Now, Sum to 36 terms is given by S 36 = 36 ( 2 + 107 ) 2 = 36 x 109 2 = 3924 2 = 1962 Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Question 4

In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series. 7 18 42 94 204 4 M N O P What value will come in place of P?

Accepted Answer

Here the given series 7 18 42 94 204 follows a pattern that, 7 7 ×2+4 = 18 18 ×2+6 = 42 42 ×2+10 = 94 94 ×2+16 = 204 Similarly, 4 4 ×2+4 = 12 12 ×2+6 = 30 30 ×2+10 = 70 70 ×2+16 = 156 Hence, the value of P = 156.

Question 5

Find the next number in the series 143 143 136 110 ?

Accepted Answer

The next number in the series is 143 143 136 110 0 7 26 (Differences) 1 3 - 1 , 2 3 - 1 , 3 3 - 1 , 4 3 - 1 , . . . Now the next number is given by 110 - ( 4 3 - 1 ) = 110 - 63 = 47 .

Question 6

Find the Next Number in the given number series? 3, 10.5, 36.75, 128.625, ?

Accepted Answer

Pattern is 3 3 x 3.5 = 10.5 10.5 x 3.5 = 36.75 36.75 x 3.5 = 128.625 128.625 x 3.5 = 450.187

Question 7

Odd man out of the series 90 72 56 42 36 20

Accepted Answer

The given number series is 90 72 56 42 36 20 9 x 10 = 90 8 x 9 = 72 7 x 8 = 56 6 x 7 = 42 5 x 6 = 30 (not 36) 4 x 5 = 20 Hence, the odd man in the given number series is 36.

Question 8

What should come in place of question mark (?) in the following number series? 38, 195, ?, 4905, 24530, 122655

Accepted Answer

The given series follows the pattern that, ×5+5, ×5+5, ×5+5, ×5+5, ×5+5 38 x 5 + 5 = 195 195 x 5 + 5 = 980 980 x 5 + 5 = 4905 4905 x 5 + 5 = 24530 24530 x 5 + 5 = 122655 So the missing number is 980 .

Question 9

Find the Missing number in the given Series ? 2, 3, 6, 15, ? , 157.5

Accepted Answer

Here given 2, 3, 6, 15, ? , 157.5 2 x 1.5 = 3 3 x 2 = 6 6 x 2.5 = 15 15 x 3 = 45 45 x 3.5 = 157.5 Therefore, the missing number is 45

Question 10

What is the next number in the following number series 3, 5, 8, 15, 28, 51, ?

Accepted Answer

The given number series is 3, 5, 8, 15, 28, 51, ? Here the pattern it follows is 3 3 + 2 = 5 ( add prime number less than 3 i.e, 2) 5 + 3 = 8 (3 is prime number less than 5) 8 + 7 = 15 (7 is prime number less than 8) 15 + 13 = 28 (13 is prime number less than 15) 28 + 23 = 51 (23 is prime number less than 28) 51 + 47 = 98 (47 is prime number less than 51) Hence, the next number in the given number series is 98.

Question 11

Find the odd man out of the number series? 18, 37, 76, 155, 314, 635

Accepted Answer

Given Number series is 18 37 76 155 314 635 follows a pattern that, 18 18 x 2 +1 = 37 37 x 2 +2 = 76 76 x 2 +3 = 155 155 x 2 +4 = 314 314 x 2 +5 = 633 not 635 Hence, the odd man is 635.

Question 12

What value will come in place of question mark (?) in following number series? 12, 16, 32, 68, ?

Accepted Answer

Given series is 12 16 32 68 ? Here it follows a pattern that, 12 12 + (2x2) = 16 16 + (4x4) = 32 32 + (6x6) = 68 68 + (8x8) = 132

Question 13

Find the missing number in the series 1, 6, ?, 15, 45, 66, 91

Accepted Answer

Here the given series 1, 6, ?, 15, 45, 66, 91 follows a Pattern in the series is, +5, +9, +13,...,.. +21, +25 So +4 is getting increased at every term addition. Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.

Question 14

The missing number in the Series 114, 131, 165, 216, ?, 369

Accepted Answer

114 131 165 216 ? 369 +17 +34 +51 +68 +85 => The missing number in the given Number series = 216 + 68 = 284.

Question 15

Find out the wrong number in the following series ? 2880, 480, 92, 24, 8, 4, 4

Accepted Answer

The given series of numbers follow the rule that, 2880/6 = 480 480/5 = 96 96/4 = 24 24/3 = 8 8/2 = 4 4/1 = 4 But 92 is not in the rule. It is the wrong number in the given series.

Question 16

Find the next number in te given series ? 5, 25, 61, 113, ...

Accepted Answer

Here the series follow the rule that 1 2 + 2 2 = 5 3 2 + 4 2 = 25 5 2 + 6 2 = 61 7 2 + 8 2 = 113 SO NEXT IS, 9 2 + 10 2 = 181

Question 17

Complete the missing number in the given series. 5, 20, 76, (—), 448

Accepted Answer

The series follows the following pattern 5 X 5 – 5 = 20 20 X 4 – 4 = 76 76 X 3 – 3 = 225 225 X 2 – 2 = 448 Hence, the term 225 denoted by (d) completes the series

Question 18

In the following number series only one number is wrong. Find out the wrong number ? 6, 15, 35, 63, 143, 221, 323

Accepted Answer

Here the series follows the pattern that, product of succesive prime numbers i.e, 2 × 3 = 6 3 × 5 = 15 5 × 7 = 35 7 × 11 = 77 11 × 13 = 143 13 × 17 = 221 17 × 19 = 323 So here in place of 77 the number 63 is written. So the wrong number is 63.

Question 19

Find the odd man out of the series? 128, 32, 14, 2.66, 0.88

Accepted Answer

Here the given series is 128, 32, 14, 2.66, 0.88 128 / 4 = 32 32 / 3 = 10.666 10.666 / 4 = 2.666 2.666 / 3 = 0.888 Hence, the odd man in the given number series is 14.

Question 20

What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ?

Accepted Answer

4 3 4 7 15 ? ×1-1 ×1+1 ×2-1 ×2+1 ×3-1 15x3 - 1 = 45 - 1 = 44

Odd Man Out and Series Questions