8
Q:

Find the sum of the Arithmetic Series upto 36 terms

2, 5, 8, 11,...

A) 3924 B) 1962
C) 1684 D) 1452

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.

Q:

Find the odd man out?

12, 48, 168, 502, 1260

A) 48 B) 168
C) 502 D) 1260
 
Answer & Explanation Answer: C) 502

Explanation:

The given series is 12, 48, 168, 502, 1260

12

12 x 4 = 48

48 x 3.5 = 168

168 x 3 = 504

504 x 2.5 = 1260

 

Hence, the odd man out in the given series is 502.

Report Error

View Answer Workspace Report Error Discuss

3 89
Q:

Find the odd man out of the following number series?

222, 271, 308, 332, 348, 357

A) 271 B) 308
C) 332 D) 348
 
Answer & Explanation Answer: B) 308

Explanation:

Here the given series 222, 271, 308, 332, 348, 357 follows a pattern that

222

222 + 49  271

271 + 36 = 307 (NOT 308)

307 + 25 = 332

332 + 16 = 348

348 + 9 = 357

 

Hence, the odd man in the fiven number series is 308.

Report Error

View Answer Workspace Report Error Discuss

1 129
Q:

Find the odd man out?

28, 12, 4, 2, -2

A) -2 B) 2
C) 12 D) 28
 
Answer & Explanation Answer: B) 2

Explanation:

Here the given series 28, 12, 4, 2, -2 follows a pattern that

 

28 28 - 24 = 28 - 16 = 1212 - 23 = 12 - 8 = 44 - 22 = 4 - 4 = 0 (NOT 2)0 - 21 = 0 - 2 = -2

 

Hence, the odd man in the given series is 2.

Report Error

View Answer Workspace Report Error Discuss

1 148
Q:

Find the odd man out of the following number series?

1/2, 1, 3/2, 6, 5/2, 3

A) 1 B) 6
C) 5/2 D) 3/2
 
Answer & Explanation Answer: B) 6

Explanation:

The given series is 1/2, 1, 3/2, 6, 5/2, 3

1/2

1/2 + 1/2 = 1

1 + 1/2 = 3/2

3/2 + 1/2 = 2 (Not 6)

2 + 1/2 = 5/2

5/2 + 1/2 = 3

 

Hence, the odd man in the given number series is 6.

Report Error

View Answer Workspace Report Error Discuss

1 130
Q:

Find the odd man out of the series?

128, 32, 14, 2.66, 0.88

A) 32 B) 14
C) 2.66 D) 0.88
 
Answer & Explanation Answer: B) 14

Explanation:

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.

Report Error

View Answer Workspace Report Error Discuss

3 376
Q:

Find the odd man out of the following number series?

720, 732, 708, 742, 696

A) 696 B) 742
C) 708 D) 732
 
Answer & Explanation Answer: B) 742

Explanation:

The given number series is 720, 732, 708, 742, 696

 

720

720 + 12 = 732

732 - 24 = 708

708 + 36 = 744 (Not 742)

744 - 48 = 696

 

Hence, the odd man in the given number series is 742.

Report Error

View Answer Workspace Report Error Discuss

2 244
Q:

Odd man out of the series

90 72 56 42 36 20

A) 20 B) 36
C) 42 D) 56
 
Answer & Explanation Answer: B) 36

Explanation:

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.

Report Error

View Answer Workspace Report Error Discuss

6 249
Q:

Pick the odd man out of the folowing number sequence?

123 112 133 112 143

A) 143 B) 122
C) 133 D) 112
 
Answer & Explanation Answer: B) 122

Explanation:

Here the given series is 123 112 133 112 143

It follows a pattern that,

123

123 - 11 = 112

112 + 21 = 133

133 - 31 = 102 (not 122)

102 + 41 = 143

 

Hence, the odd man in the given number sequence is 122 instead of 102.

Report Error

View Answer Workspace Report Error Discuss

3 301