7
Q:

311   230   294   ?   281   256

 

What will come in place of the question mark (?) in the above number series?

A) 240 B) 245
C) 244 D) 246

Answer:   B) 245



Explanation:

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.

Q:

7, 11, 19, 35, ?

Find the next number in the given number series?

A) 131 B) 94
C) 83 D) 67
 
Answer & Explanation Answer: D) 67

Explanation:

Here the given series 7, 11, 19, 35, ?

follows a pattern that (x 2 - 3) i.e,

7

7 x 2 - 3 = 11

11 x 2 - 3 = 19

19 x 2 - 3 = 35

35 x 2 - 3 = 67

67 x 2 - 3 = 131

 

Hence the next number in the given number series is 67.

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3 139
Q:

Find the Odd Number in the given Number Series?

3, 6.5, 14, 29, 64, 136

A) 14 B) 64
C) 29 D) 136
 
Answer & Explanation Answer: C) 29

Explanation:

The Given number series 3, 6.5, 14, 29, 64, 136 follows a pattern that

3

3 x 2 + 0.5 = 6.5

6.5 x 2 + 1 = 14

14 x 2 + 2 = 30 29

30 x 2 + 4 = 64

64 x 2 + 8 = 136

Thus the wrong number in the series is 29

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4 165
Q:

What comes next in this sequence

196, 169, 144, 121, 100, 81, ?

A) 77 B) 74
C) 67 D) 64
 
Answer & Explanation Answer: D) 64

Explanation:

The given number series follows a pattern that

196, 169, 144, 121, 100, 81, ?

    -27  -25   -23   -21  -19  -17

 

=> 81 - 17 = 64

Therefore, the series is 196, 169, 144, 121, 100, 81, 64.

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7 168
Q:

Find the missing number in the series

1, 6,  ?, 15, 45, 66, 91

A) 24 B) 28
C) 32 D) 26
 
Answer & Explanation Answer: B) 28

Explanation:

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.

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6 91
Q:

Find the sum of the Arithmetic Series upto 36 terms

2, 5, 8, 11,...

A) 3924 B) 1962
C) 1684 D) 1452
 
Answer & Explanation Answer: B) 1962

Explanation:

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 Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term

 

Here Last term is given by an = a1 + n-1d where d = common difference

 

Now given Arithmetic Series is 

 

2, 5, 8, 11,...

 

Here a1 = 2,  d = 3, n = 36 

 

Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107 

 

Now, Sum to 36 terms is given by

 

S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962

 

 

 

Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

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7 118
Q:

Find the missing number?

15, 30, ? , 40, 8, 48

A) 21 B) 8
C) 19 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

Given nuber series is 15, 30, ? , 40, 8, 48 

Here the number series follows a pattern that

15

15 x 2 = 30

30 ÷ 3 = 10

10 x 4 = 40

40 ÷ 5 = 8

8 x 6 = 48

Hence, the missing number in the series is 10.

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4 96
Q:

 Find the Odd One Out?

3   4   14   48   576   27648

A) 4 B) 14
C) 48 D) 27648
 
Answer & Explanation Answer: B) 14

Explanation:

Given Number series is :

3   4   14   48   576   27648

It follows a pattern that,

3

4

4 x 3 = 12   but not 14

12 x 4 = 48

48 x 12 = 576

576 x 48 = 27648

 

Hence, the odd one in the given Number Series is 14.

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3 84
Q:

Find the Odd One Out of the following Number Series?

3, 14, 36, 67, 113, 168

A) 14 B) 36
C) 67 D) 113
 
Answer & Explanation Answer: C) 67

Explanation:

Here the given number series is 3, 14, 36, 67, 113, 168

It follows a pattern that

3

3 + 1 x 11 = 3 + 11 = 14

14 + 2 x 11 = 14 + 22 = 36

36 + 3 x 11 = 36 + 33 = 69

69 + 4 x 11 = 69 + 44 = 113

113 + 5 x 11 = 113 + 55 = 168

 

Hence, the wrong number is 67.

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3 267