Quantitative Aptitude Number Series Practice Questions (27 –
09 – 2017)
Directions (1
– 5): In each of the given questions, find the wrong term in the series.
1. 13, 40,
121, 364, 1072, 3280
a) 13
b) 40
c) 364
d) 1072
2. 4, 23,
60, 121, 212, 338
a) 23
b) 121
c) 212
d) 338
e) 4
3. 97, 77,
60, 45, 32, 21
a) 97
b) 77
c) 60
d) 45
e) 32
4. 157,
126, 97, 74, 57, 38
a) 157
b) 126
c) 97
d) 74
e) 57
5. 56, 38,
83, 57, 112, 76
a) 56
b) 38
c) 83
d) 57
e) 112
Directions (6
– 10): Find the next number in the following series
6. 25, 35,
20, 45, ? ,
a) 32
b) 21
c) 10
d) 20
e) none of
these
7. 24, 10,
13, ?, 36
a) 8
b) 10.5
c) 12
d) 14.5
e) 16
8. 8,81,651,
?, 15651
a) 3562
b) 3850
c) 3911
d) 4215
e) none of
these
9. 110,
115, 224, ?, 2708
a) 716
b) 769
c) 679
d) 767
e) none of
these
10. 10, 22,
42, 78, ? ,
a) 112
b) 105
c) 118
d) 125
e) none of
these
Directions (11
– 15): In each of the following questions, a number series is given. After the
series, below it in the next line, a number is given followed by (P), (Q), (R),
(S) and (T). You have to complete the series starting with the number given
following the sequence of the given series. Then answer the question given
below it.
1. 37 78
164 340 696
42
P Q R
S T
Which
number will come in the place of ‘T’?
a) 1412
b) 1572
c) 1552
d) 1432
e) 1582
12. 2 9
57 337
5 P
Q R
Which
number will come in the place of ‘R’?
a) 225
b) 1345
c) 1305
d) 205
e) 425
13. 81 104
150 219 311
P 144
Q R S
Which
number will come in the place of S?
a) 269
b) 351
c) 321
d) 229
e) 368
14. 125 36
343 64
4096 P
Q R S
T
Which will
come in the place of T?
a) 5832
b) 8000
c) 4000
d) 361
e) 441
15. 3 16
41 82 143
228
5 P
Q R S
T
Which will
come in the place of S?
a) 230
b) 84
c) 220
d) 165
e) 145
Solutions:
1. D) The series is moving as:
13
× 3 + 1 = 40
40
× 3 + 1 = 121
121
× 3 + 1 = 364
364
× 3 + 1 = 1093 (1072)
1093
× 3 + 1 = 3280
Hence,
the wrong term of the series is 1072.
2. D) The series is moving as:
2^3
– 4 = 4
3^3
– 4 = 23
4^3
– 4 = 60
5^3
– 4 = 121
6^3
– 4 = 212
7^3
– 4 = 339 (338)
Hence,
the wrong term of the series is 338.
3. A) The series
is moving as:
10
× 9 + 6 = 96 (97)
9
× 8 + 5 = 77
8
× 7 + 4 = 60
7
× 6 + 3 = 45
6
× 5 + 2 = 32
5
× 4 + 1 = 21
Hence,
the wrong term is 97.
4. E) The series
is moving as:
157
– 31 = 126
126
– 29 = 97
97
– 23 = 74
74
– 19 = 55 (57)
55
– 17 = 38
Hence,
the wrong term in the series is 57.
5. C) There are
two alternate series moving as 56, 84, 112 and 38, 57, 76. The common
difference of the two series is 28 and 19 respectively. Hence, the wrong term
of the series is 83.
6. C) The series follows
the pattern:
25
+ 5 * 2 = 35
35
– 5 * 3 = 20
20
+ 5 * 5 = 45
45
– 5 * 7 = 10
7. D) The series
follows the pattern:
24*0.5
– 2 = 10
10*1
+ 3 = 13
13*1.5
– 5 = 14.5
14.5*2
+ 7 = 36
8. C) The series
follows the pattern:
8
* 10 + 1 = 81
81
* 8 + 3 = 651
651
* 6 + 5 = 3911
3911
* 4 + 7 = 15651
9. C) The series
follows the pattern:
110*1+5
=115
115*2-6
= 224
224*3+7
= 679
679*4-8
= 2708
10. C) The series
follows the pattern:
10
+ 11 + 1= 22
22+
22 – 2 = 42
42
+ 33 + 3 = 78
78
+ 44 – 4 = 118
11. B) 37
78 164 340 696
42 P
Q R
S T
37
× 2 + 4 = 78
78
× 2+ 8 = 164
164
× 2 + 12 = 340
340
× 2 + 16 = 696
Similarly,
42
× 2 + 4 = 88
88
× 2 + 8 = 184
184
× 2 +12 = 380
380
× 2 + 16 = 776
776
× 2 + 20 = 1572
Therefore
the series is, 42 88 184
380 776 1572
Hence,
T = 1572
12. B) 2
9 57 337
5
P Q
R
2
× 8 – 7 = 9
9
× 7 – 6 = 57
57
× 6 – 5 = 337
Similarly,
5
× 8 – 7 = 33
33
× 7 – 6 = 225
225
× 6 – 5 = 1350 – 5 = 1345
Therefore
the series is, 5,33, 225, 1345
Hence,
R = 1345
13. B) 81
104 150 219 311
P
144 Q R
S T
81
+ 23 = 104
104
+ 46 = 150
150
+ 69 = 219
219
+ 92 = 311
Similarly,
144
– 23 = 121= P
121
+ 23 = 144
144
+ 46 = 190
190
+ 69 = 259
259
+ 92 = 351
Therefore
the series is, 121 144
190 259 351
Hence,
S= 351
14. E) 125
36 343 64
4096
P Q R
S T
53 =
125
62 =
36
73 =
343
82 =
64
Similarly,
4096
= 163
172 =
289
183 =
5832
192 =
361
203 =
8000
212 =
441
Therefore
the series is, 4096 289 5832
361 8000 441
Hence,
T= 441
15. E)