# Data Interpretation (Test 5)

## Cat Entrance Exams : Data Interpretation And Logical Reasoning

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Q.1
Direction: In the following number series only one number is wrong. Find out the wrong number.
0, 7, 28, 63, 124, 215
A. 215
B. 63
C. 7
D. 28
E. None of these
Explaination / Solution:

The pattern is = 13 - 1, 23 - 1, 33 - 1, 43 - 1, 53 - 1, 63 - 1
So the wrong term 28 is replace by = 33 - 1 = 27

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Q.2
Direction: What will come in place of the question mark (?) in the following number series?
32, 49, 83, 151, 287, 559, ?
A. 1118
B. 979
C. 1103
D. 1120
E. None of these
Explaination / Solution:

32 + 1*17 = 32 + 17 = 49;
49 + 2*17 = 49 + 34 = 83
83 + 4*17 = 83 + 68 = 151;
151 + 8*17 = 151 + 136 = 287
287 + 16*17 = 287 + 272 = 559;
559 + 32*17 = 559 + 544 = 1103

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Q.3
Direction: What will come in place of the question mark (?) in the following number series?
1050, 420, 168, 67.2, 26.88, 10.752  ?
A. 4.3008
B. 6.5038
C. 4.4015
D. 5.6002
E. None of these
Explaination / Solution:

1050 *2/5 = 420;
420 *2/5 = 168
168 *2/5 = 67.2
67.2 *2/5 = 26.88
26.88 *2/5 = 10.752
10.752 *2/5 = 4.3008

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Q.4
Direction: What will come in place of the question mark (?) in the following number series?
45030     9000    1795    355    68    ?
A. 11.6
B. 12.2
C. 10.4
D. 9.8
E. None of these
Explaination / Solution:

(45030/5) - 6 = 9000
(9000/5) - 5 = 1795
(1795/5) - 4 = 355
(355/5) - 3 = 68
(68/5) - 2 = 11.6

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Q.5
Direction: What should come in place of the question mark (?) in the following number series?
17 21 37 73 137 (?)
A. 246
B. 236
C. 217
D. 237
E. None of these
Explaination / Solution:

The pattern of the Sequence & Series is:
17 + 22 = 17 + 4 = 21
21 + 42 = 21 +16 = 37
37 + 62 = 37 + 36 = 73
73 + 82 = 73 + 64 = 137
137 + 102 = 137 + 100 = 237

So, ? = 137 + 102 = 137 + 100 = 237

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Q.6
Direction: What will come in place of the question mark (?) in the following number series?
17, 22, 32, 47, 67, 92, ?
A. 112
B. 132
C. 111
D. 122
E. None of these
Explaination / Solution:

The given series is
+ (5 × 1),
+ (5 × 2),
+ (5 × 3),
+ (5 × 4),
+ (5 × 5),
+ (5 × 6)

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Q.7
Direction: What will come in place of the question mark (?) in the following number series?
311 300 278 245 201 146 ?
A. 70
B. 90
C. 80
D. 110
E. None of these
Explaination / Solution:

The given series is – (11 × 1), – (11 × 2) – (11 × 3), - (11 × 4), – (11 × 5), – (11 × 6)

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Q.8
Direction: What will come in place of the question mark (?) in the following number series?
4, 9, 29, ?, 599, 3599
A. 117
B. 347
C. 258
D. 174
E. None of these
Explaination / Solution:

9 = 4×2+1= 8+1
29 = 9×3+2 = 27+2
? = 29×4 + 3 = 116+3 = 119
599 = 119×5 + 4 = 595+4
3599 = 599×6+5 = 3594+ 5

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Q.9
Direction: What will come in place of the question mark (?) in the following number series?
177 170 159 146 ? 110
A. 132
B. 106
C. 129
D. 127
E. None of these
Explaination / Solution:

The numbers given here have difference of prime numbers in accending order starting from 7.

177 – 170 = 7
170 – 159 = 11
159 – 146 = 13
Hence next number become
146 – 17 = 129
129 – 110 = 19

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Q.10
Direction: In the following number series only one number is wrong. Find out the wrong number.
5, 6, 12, 40, 161, 806
A. 161
B. 6
C. 12
D. 5
E. None of these