Number Series Questions and Answers Part-5

1. Find the missing term: 198, 194, 185, 169, ?
a) 92
b) 112
c) 136
d) 144

Answer: d
Explanation: The pattern is - 4, - 9, - 16,.....i.e., - 22, - 32 , - 42 ,..............
So, the missing term = 169 - 52 = 169 - 25 = 144

2. Find the missing term: 10, 100, 200, 310. ?
a) 400
b) 410
c) 420
d) 430

Answer: d
Explanation: The pattern is + 90, + 100, + 110......
So, the missing term = 310 + 120 = 430

3. Find the missing term: 2, 2, 5, 13, 28, ?
a) 49
b) 50
c) 51
d) 52

Answer: d
Explanation: The pattern is + 0, + 3, + 8, + 15,.............i.e.,+ (12 - 1) , + (22 - 1), + (32 - 1), + (42 - 1),................
So, the missing term = 28 + (52 - 1) = 28 + 24 = 52

4. Find the missing term: 0, 2, 8, 14, ?, 34
a) 20
b) 23
c) 24
d) 25

Answer: c
Explanation: The pattern is + 2, + 6, + 6, + 10, +10,.....
So, the missing term = 14 + 10 =24

5. Find the missing term: 24, 60, 120, 210, ?
a) 300
b) 336
c) 420
d) 525

Answer: b
Explanation: The pattern is +36, +60, +90, . . . . . . i.e., +[6 × (6 + 0)], + [6 × (6 + 4)], + [6 × (6 + 9)] . . . . . .
So, the missing term
= 210 + [6 × (6 + 15)]
= 210 +126
= 336

6. 34, 30, 26, 22, 18, 14, 10, ... choose which pair of numbers comes next?
a) 8, 6
b) 6, 4
c) 14, 18
d) 6, 2

Answer: d
Explanation: This is a simple subtraction series, in which 4 is subtracted from each number to arrive at the next.

7. 32, 31, 32, 29, 32, 27, 32, ... choose which pair of numbers comes next?
a) 25, 32
b) 31, 32
c) 29, 32
d) 25, 30

Answer: a
Explanation: This is an alternating repetition series. The number 32 alternates with a series in which each number decreases by 2.

8. 7, 9, 66, 12, 14, 66, 17, ... choose which pair of numbers comes nex
a) 19, 66
b) 66, 19
c) 19, 22
d) 20, 66

Answer: a
Explanation: This is an alternating addition series with repetition, in which a random number, 66, is interpolated as every third number. The regular series adds 2, then 3, then 2, and so on, with 66 repeated after each "add 2" step.

9. 3, 8, 10, 15, 17, 22, 24, ... choose which pair of numbers comes next?
a) 26, 28
b) 29, 34
c) 29, 31
d) 26, 31

Answer: c
Explanation: This is an alternating addition series that adds 5, then 2, then 5, and so on.

10. 4, 7, 26, 10, 13, 20, 16, ... choose which pair of numbers comes next?
a) 14, 4
b) 14, 17
c) 18, 14
d) 19, 14

Answer: d
Explanation: Two patterns alternate here, with every third number following the alternate pattern. In the main series(1st series) 4, 7, 10,13, 16 ..... beginning with 4, 3 is added to each number to arrive at the next. Secondary series (2nd series): 26, 20, ... beginning with 26, 6 is subtracted from each number to arrive at the next. Therefore Next two number is 19(from 1st series), 14(from 2nd series). 19,14