# Sequence and Series - Online Test

Q1. Directions: What value should come at the place of question mark (?) in the given number series?
36, 205, 84, 165, 116, ?
Explaination / Solution:

36       205       84        165      116     (141)
+169      -121     +81      -49      +25

These all differences are squares of the numbers 13,11,9,7,5.

Q2. Directions: What value should come at the place of question mark (?) in the given number series?
35.6, 183, 736, 2211, 4424, ?
Explaination / Solution:

35.6 × 5 + 5 = 183
183 × 4 + 4 = 736
736× 3 × 3 = 2211
2211 × 2 + 2 = 4424
4424×1 + 1 = 4425

Q3. Directions: What value should come at the place of question mark (?) in the given number series?
346, 174, 89, 47.5, 27.75, ?
Explaination / Solution:

346÷ 2 + 1 = 174
174÷ 2 + 2 = 89
89÷ 2+3= 47.5
47.5÷ 3+4 = 27.75
27.75÷ 2 + 5 = 18.875

Q4. Directions: What value should come at the place of question mark (?) in the given number series?
46, 178, 270, 330, 366, 386, ?
Explaination / Solution:

46     178     270      330      366     386     398
132      92        60        36       20       12
-40        -32       -24      -16      -8

Q5. Direction: In the following number series, a wrong number is given. Find out that wrong number.
37, 54, 88, 142, 207, 292, 394
Explaination / Solution:

37 + 17 × 1 = 54
54 + 17 × 2 = 88
88 + 17 × 3 = 139
139+ 17 × 4 = 207
207 + 17 × 5 = 292
292+ 17 × 6 = 394

Q6. Directions: In the following number series, one of the numbers is wrong. Find out the wrong number.
64, 96, 288, 1296, 7776, 58420
Explaination / Solution:

64 × 1.5 = 96
96 × 3 = 288
288 × 4.5 = 1296
1296 × 6 = 7776
7776 × 7.5 = 58320

Q7. Directions: In the following number series, one of the numbers is wrong. Find out the wrong number.
7, 8, 16, 43, 109, 232, 448
Explaination / Solution:

7 + 13 = 8
8 + 23 = 16
16 + 33 = 43
43 + 43 = 107
107 + 53 = 232
232 + 63 = 448

Q8. Directions: What value should come at the place of question mark (?) in the following number series?
7, ?, 40, 73, 117
Explaination / Solution:

7+11=18
18+22=40
40+33=73
73+44=117
(Multiple of 11)

Q9. Direction: What value should come at the place of question mark (?) in the given number series?
14, 22, ?, 113, 238, 454
Explaination / Solution:

14+23=22
22+33=49
49+43=113
113+53=238
238+63=454

Q10. Directions: What value should come at the place of question mark (?) in the following number series?
16, 18, 24, 36, ?
Explaination / Solution:

16+(12+1)=18
18+(22+2)=24
24+(32+3)=36
36+(42+4)=56