# Sequence and Series (Test 1)

## Cat Entrance Exams : Mathematics Or Quantitative Aptitude

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Sequence and Series
| Sequence and Series |
Q.1
Direction: What should come in place of the question mark (?) in the following number series?

400, 240, 144, 86.4, 51.84, 31.104, ?
A. 19.2466
B. 17.2244
C. 16.8824
D. 18.6624
E. None of these
Explaination / Solution:

18.6624
400 × 0.6 = 240
240 × 0.6 = 144
144 × 0.6 = 86.4
86.4 × 0.6 = 51.84
51.84 × 0.6 = 31.104
31.104 × 0.6 = 18.6624

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Q.2
Direction: What will come in place of the question mark (?) in the following number series?
4, 6, 9, 13.5, 20.25, 30.375, ?
A. 40.25
B. 45.5625
C. 42.7525
D. 48.5625
E. None of these
Explaination / Solution:

45.5625
4 × 1.5 = 6
6 × 1.5 = 9
9 × 1.5 = 13.5
13.5 × 1.5 = 20.25
20.25 × 1.5 = 30.375
30.75 × 1.5 = 45.5625

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Q.3
Direction: What will come in place of the question mark (?) in the following number series?
13, 14, 30, 93, 376, 1885, ?
A. 10818
B. 10316
C. 11316
D. 11318
E. None of these
Explaination / Solution:

1136
13 × 1 + 1 = 14
14 × 2 + 2 = 0
30 × 3 + 3 = 93
93 × 4 + 4 = 376
376 × 5 + 5 = 1885
1885 × 6 + 6 = 11316

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Q.4
Direction: What should come in place of the question mark (?) in the following number series?

9, 4.5,4.5, 6.75, 13.5, 33.75, ?
A. 101.25
B. 103.75
C. 99.75
D. 105.50
E. None of these
Explaination / Solution:

101.25
9 × 0.5 = 4.5
4.5 × 1 = 4.5
4.5 × 1.5 = 6.75
6.75 × 2 = 13.5
13.5 × 2.5 = 33.75
33.75 × 3 = 101.25

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Q.5
Direction: What will come in place of the question mark (?) in the following number series?
225, 231, 249, 287, 353, (?)
A. 453
B. 450
C. 463
D. 455
E. None of these
Explaination / Solution:

225, 231, 249, 287, 353, (455)
+6  +18  +38  +66  +102
+12  +20 +28  +36
+8   +8   +8

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Q.6
Direction: What will come in place of the question mark (?) in the following number series?
949    189.8    ?    22.776    11.388    6.8328
A. 48.24
B. 53.86
C. 74.26
D. 56.94
E. None of these
Explaination / Solution:

949 *0.2 = 189.8
189.8 *0.3 = 56.94
56.94 *0.4 = 22.776
22.776 *0.5 = 11.388
11.388 *0.6 = 6.8328

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Q.7
Direction: What will come in place of the question mark (?) in the following number series?
25 53 163 657 3291 ?
A. 16461
B. 13169
C. 9877
D. 23045
E. 19753
Explaination / Solution:

25*2 + 3 = 53
53*3 + 4 = 163
163*4 + 5 = 657
657*5 + 6 = 3291
3291*6 + 7 = 19753

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Q.8
Direction: What will come in place of the question mark (?) in the following number series?
14    43.5    264    ?    76118
A. 3168
B. 3176
C. 1587
D. 1590
E. None of these
Explaination / Solution:

14*3 + 1.5 = 43.5
43.5*6 + 3 = 264
264*12 + 6 = 3174
3174*24 + 12 = 76188

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Q.9
Direction: What will come in place of the question mark (?) in the following number series?
120, 15, 105, 17.5, 87.5, ?
A. 18.5
B. 19.5
C. 21.875
D. 17.5
E. None of these
Explaination / Solution:

120/8 = 15

15*7 = 105

105/6 = 17.5

17.5*5 = 87.5

87.5/4 = 21.875

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Q.10
Direction: What will come in place of the question mark (?) in the following number series?
499, 622, 868, 1237, 1729, 2344, ?
A. 3205
B. 3082
C. 2959
D. 3462
E. None of these