Odd man out and Series

Odd man out and Series

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Solve Problems:

1)Complete the series 2, 5, 9, 19, 37…….

  1. 76
  2. 74
  3. 75
  4. None of these.
View Answer

Answer: C

Explanation:

The second number is one more than twice the first,
2 x 2 +1 = 5

The third number is one less than twice the second,
5 x 2 -1 = 9

The fourth number is one more than twice the third,
9 x 2 +1 = 19

The fifth number is one less than twice the fourth.
19 x 2 – 1 = 37

Therefore, the sixth number is one more than twice the fifth. So, the missing number:
37 x 2 + 1 = 75.

2) The next number of the sequence 0, 7, 26, 63……

  1. 124
  2. 126
  3. 215
  4. 217
View Answer

Answer: A

Explanation:

The terms of the given series are
(13 – 1) = 1 -1 = 0,
(23 – 1) = 8 – 1 = 7,
(33 – 1) = 27 – 1 = 26,
(43 -1) = 64 – 1 = 63…..

So, the next term will be
53 – 1 = 125 – 1 = 124

3) In the following number series, a wrong number is given. Find out that number
8, 18, 40, 86, 178, 370, 752.

  1. 18
  2. 178
  3. 370
  4. 40
View Answer

Answer: B

Explanation:

The given sequence is

x 2 + 2 i.e. 8 x 2 + 2 = 16+2 = 18,
x 2 + 4 i.e. 18 x 2+ 4 = 36+4 = 40,
x 2 + 6 i.e. 40 x 2 + 6 = 80+6 = 86,
x 2 + 8 i.e. 86 x 2 + 8 = 172+8 = 180,
x 2 + 10 i.e. 180 x 2 + 10 = 360+10 = 370,
x 2 + 12 i.e. 370 x 2 + 12 = 740+12 = 752.

Hence, the number 178 is wrong, and it should be replaced by 180.

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4) Find out the missing number in the following sequence.
53, 44, 52,?, 51, 46.

  1. 45
  2. 61
  3. 44
  4. 62
  5. 43
View Answer

Answer: A

Explanation:

In the given series, there are two sequences:
53, 52, 51, and 44,?, 46

In the first sequence, each digit is decreased by 1
i.e. 53, 52, 51

In the second sequence, each digit is increased by 1
44, 45, 46

Therefore 45 is the missing number.

5) Find out the wrong number in the series:
3, 8, 15, 24, 34, 48, 63

  1. 15
  2. 24
  3. 34
  4. 48
  5. 63
View Answer

Answer: C

Explanation:

The differences between consecutive terms are respectively 5, 7, 9, 11, and 13.
So, 34 is the wrong number.

6) Find out the wrong number in the series:
125, 106, 88, 76, 65, 58, 53

  1. 125
  2. 106
  3. 88
  4. 76
  5. 65
View Answer

Answer: C

Explanation:

To get the next number in the given series go on subtracting prime numbers 19, 17, 13, 11, 7, and 5 from the numbers.
Like: 125 – 19 = 106
106 – 17 = 89
89 – 13 = 76
76 – 11 = 65
65 – 7 = 58
58 – 5 = 53

So, the wrong number in the series is 88.

7) What should come in place of the question mark (?) in the following number series:
4, 5, 14, 51, ?

  1. 220
  2. 162
  3. 280
  4. 216
View Answer

Answer: A

Explanation:

The sequence in the given series is

x 1 + 12 = 4 x 1 + 12 = 4+1 = 5,
x 2 + 22 = 5 x 2 + 22 = 10+4 = 14,
x 3 +32 = 14 x 3 + 32 = 42 + 9 = 51,
x 4 + 42 = 51 x 4 + 42 = 204 + 16 = 220

Therefore, the missing number is 220.

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8) Find out the wrong number in the series:
455, 445, 465, 435, 485, 415, 515, 455

  1. 455
  2. 465
  3. 485
  4. 415
View Answer

Answer: A

Explanation:

The given series is made of two different series:

First: 455, 465, 485, 515, and

Second: 445, 435, 415,455

The sequence in first series is + 10, + 20, + 30, and the sequence in second series: -10, -20. So, the number 455 is wrong as it should be 415 – 30 = 385

9)

i) 264     136     72     40

ii0 488     (a)     (b)     (c)     (d)     (e)

Which of the following numbers will come in place of (a)?

  1. 128
  2. 248
  3. 38
  4. 23
View Answer

Answer: B

Explanation:

The given series is ÷ 2 + 4, ÷ 2+4,… Therefore the first series is as follows:

10)

i) 2     17     121     729
ii) 5     (a)     (b)     (c)     (d)     (e)

Which of the following numbers will come in place of (b)?

  1. 289
  2. 41
  3. 17393
  4. 1448
View Answer

Answer: A

Explanation:

The given sequence is

X * 8 + 1 i.e., 2 * 8 +1 = 16 + 1 = 17
X * 7 + 2 i.e., 17 * 7 + 2 = 119 + 2 = 121
X * 6 + 3 i.e., 121 * 6 + 3 = 726 + 3 = 729…

Therefore:

(a) = 5 X 8 + 1 = 41.
(b) = 41 X 7 + 2 = 289.

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