Logical Reasoning in English NUMBER SERIES & Sequence #MCQ_CetJob

Chapter Wise Logical Reasoning in English NUMBER SERIES & Sequence

1 >>Which is the third number to the left of the number which is exactly in the middle of the following sequence of numbers ?

1 2 3 4 5 6 7 8 9 2 4 6 8 9 7 5 3 1 9 8 7 6 5 4 3 2 1 ?

• (A) 3
• (B) 4
• (C) 5
• (D) 6

Solution There are 27 numbers in the given sequence.So, middle number = 14th number = 9.Clearly, the third number to the left of this 9 is 4.

2 >>How many 3's are there in the following sequence which are neither preceded by 6 nor immediately followed by 9 ?

9  3  6  6  3  9  5  9  3  7  8  9  1  6  3  9  6  3  9 ?

• (A) One
• (B) Two
• (C) Three
• (D) Four

Solution 9 '3' 6  6  3  9  5  9 '3'  7  8 9  1  6  3 9  6  3  9

3 >>Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3.

How many such 7's are there ?5  7  2  6  5  7  3  8  3  7  3  2  5  7  2  7  3  4  8  2  6  7  8 ?

• (A) 2
• (B) 3
• (C) 4
• (D) 5

Solution 5 7  2  6  5  7  3  8  3   '7'  3  2  5  7  2  '7'  3  4  8  2  6  7  8

4 >>How many 6's are there in the following series of numbers which are preceded by 7 but not immediately followed by 9 ?

6  7  9  5  6  9  7  6  8  7  6  7  8  6  9  4  6  7  7  6  9  5  7  6  3 ?

• (A) One
• (B) Two
• (C) Three
• (D) Four

Solution 6 7  9  5  6  9  7  '6'  8  7  '6'  7  8  6  9  4  6  7  7  6  9  5  7  '6'  3

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5 >>Count each 1 in the following sequence of numbers that is immediately followed by 2, if 2 is not immediately followed by 3.

How many such 1's are there?

1 2 1 3 4 5 1 2 3 5 2 1 2 6 1 4 5 1 1 2 4 1 2 3 2 1 7 5 2 1 2 5 ?

• (A) 2
• (B) 4
• (C) 5
• (D) 7

Solution 1' 2  1  3  4  5  1  2  3  5  2  '1'  2  6  1  4  5  1  '1'  2  4  1  2  3  2  1  7  5  2  '1'  2  5

6 >>How many 7's are there in the following series which are preceded by 6 which is not preceded by 8 ?

8  7  6  7  8  6  7  5  6  7  9  7  6  1  6  7  7  6  8  8  6  9  7  6  8  7 ?

• (A) Nil
• (B) Two
• (C) Three
• (D) Four

Solution 8 7  6  '7' 8  6  7  5  6  '7'  9  7  6  '1'  6  '7'  7  6  8  8  6  9  7  6  8  7

7 >>In the following list of numerals, how many 2's are followed by 1's but not preceded by 4 ?

4 2 1 2 1 4 2 1 1 2 4 4 4 1 2 2 1 2 1 4 4 2 1 4 2 1 2 1 2 4 1 4 2 1 2 4 1 4 6 ?

• (A) Two
• (B) Three
• (C) Four
• (D) Five

Solution 4 2  1  '2'  1  4  2  1  1  2  4  4  4  1  2  '2'  1  '2'  1  4  4  2  1  4  2  1  '2  1  2  4  1  4  2  1  2  4  1  4  6

8 >>How many 7's are there in the following sequence which are precedede by 9 and followed by 6 ?

7  8  9  7  6  5  3  4  2  8  9  7  2  4  5  9  2  9  7  6  4  7 ?

• (A) 2
• (B) 3
• (C) 4
• (D) 5

Solution 7   9  '7'  6  5  3  4  2  8  9  7  2  4  5  9  2  9  '7'  6  4  7

9 >>8 11 21 15 18 21 22 Find next two number ?

• (A) 25 18
• (B) 25 21
• (C) 25 29
• (D) 24 21

Solution This is an alternating addition series, with a random number, 21, interpolated as every third number. The addition series alternates between adding 3 and adding 4. The number 21 appears after each number arrived at by adding 3.

10 >>If a train travels 90km.per hour in 8 minutes it travels: ?

• (A) 18000m
• (B) 13000m
• (C) 16000m
• (D) 12000m

Solution Calculate for one minute and then multiply answer with 8.

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11 >>Look at this series:

36, 34, 30, 28, 24, ...

What number should come next? ?

• (A) 20
• (B) 22
• (C) 23
• (D) 26

Solution This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.

Logical Reasoning in English 

12 >>Look at this series:

22, 21, 23, 22, 24, 23, ...

What number should come next? ?

• (A) 22
• (B) 24
• (C) 25
• (D) 26

Solution In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.

13 >>Look at this series:

53, 53, 40, 40, 27, 27, ...

What number should come next? ?

• (A) 12
• (B) 14
• (C) 27
• (D) 53

Solution In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

14 >>Look at this series:

21, 9, 21, 11, 21, 13, 21, ...

What number should come next? ?

• (A) 12
• (B) 13
• (C) 15
• (D) 21

Solution In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.

15 >>28 25 5 21 18 5 14 Choose which pair of numbers comes next? ?

• (A) 11 5
• (B) 10 7
• (C) 11 8
• (D) 5 10

Solution This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.

16 >>8 , 11 , 21 , 15 , 18 , 21 , 22 Choose which pair of numbers comes next? ?

• (A) 25 , 18
• (B) 25 , 21
• (C) 25 , 29
• (D) 24 , 21

Solution This is an alternating addition series, with a random number, 21, interpolated as every third number. The addition series alternates between adding 3 and adding 4. The number 21 appears after each number arrived at by adding 3.

17 >>9 16 23 30 37 44 51 Choose which pair of numbers comes next? ?

• (A) 59 66
• (B) 56 62
• (C) 58 66
• (D) 58 65

Solution Here is a simple addition series, which begins with 9 and adds 7.

18 >>Look at this series:

0.15, 0.3, ____, 1.2, 2.4, ...

What number should fill the blank? ?

• (A) 4.8
• (B) 0.006
• (C) 0.6
• (D) 0.9

Solution This is a simple multiplication series. Each number is 2 times greater than the previous number.

19 >>Look at this series:

U32, V29, __, X23, Y20, ...

What number should fill the blank? ?

• (A) W26
• (B) W17
• (C) Z17
• (D) Z26

Solution In this series, the letters progress by 1; the numbers decrease by 3.

20 >>5.2, 4.8, 4.4, 4, . . .

What number should come next? ?

• (A) 3
• (B) 3.3
• (C) 3.5
• (D) 3.6

Solution Each number decreases by 0.4.