PE 2 - Number Series | LR - Series
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0, 4, 6, 3, 7, 9, 6, ?, 12, 9, 13, 15
- (a)
8
- (b)
10
- (c)
11
- (d)
12
- (e)
None of these
Answer: Option B
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Explanation :
It is a combination of 3 series.
1st series: 0, 3, 6, ...
2nd series: 4, 7, 10, ...
3rd series: 6, 9, 12, ...
In the 2nd series, each term is increased by 3 to obtain the next term.
So, the missing term is 7 + 3 = 10
Hence, option (b).
Workspace:
2, 6, 3, 15, 5, 20, 4, 28, ?
- (a)
5
- (b)
7
- (c)
8
- (d)
11
- (e)
None of these
Answer: Option B
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Explanation :
Terms on even places are product of their adjacent terms.
2 × 3 = 6
3 × 5 = 15
5 × 4 = 20
∴ 4 × ? = 28
⇒ ? = 7
Hence, option (b).
Workspace:
7, 4, 5, 9, ?, 52.5, 160.5
- (a)
18
- (b)
19.5
- (c)
20
- (d)
20.5
Answer: Option C
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Explanation :
2nd term: 4 = 7 × 1/2 + 1/2
3rd term: 5 = 4 × 1 + 1
4th term: 9 = 5 × 3/2 + 3/2
∴ 5th term: ? = 9 × 2 + 2 = 20
Hence, option (c).
Workspace:
5, 348, 564, 689, ?, 780, 788
- (a)
348
- (b)
689
- (c)
753
- (d)
780
- (e)
788
Answer: Option D
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Explanation :
Let us calculate the difference between consecutive terms
348 – 5 = 343 = 73
564 – 348 = 216 = 63
689 – 564 = 125 = 53
753 – 689 = 64 = 43
Hence, the difference between consecutive terms is perfect cube and the next difference will be 33 = 27
∴ Next term = 753 + 27 = 780.
Hence, option (d).
Workspace:
4.5, 16, ?, 33, 38.5, 42, 43.5
- (a)
16
- (b)
25.5
- (c)
33
- (d)
38.5
- (e)
42
Answer: Option B
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Explanation :
Let us calculate the difference between consecutive terms.
16 – 4.5 = 11.5
? – 16 = ??
33 - ?? = ???
38.5 – 33 = 5.5
42 – 38.5 = 3.5
43.5 – 2 = 1.5
The difference between consecutive terms is itself decreasing by 2.
∴ ? – 16 = 9.5
⇒ ? = 25.5
Hence, option (b).
Workspace:
14, 18, 82, 118, 630, ?
- (a)
730
- (b)
692
- (c)
711
- (d)
682
- (e)
None of these
Answer: Option A
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Explanation :
Let us calculate the difference between consecutive terms.
18 – 14 = = 22
82 – 18 = 64 = 43
118 – 82 = 36 = 62
630 – 118 = 512 = 83
Hence, the difference is alternately square and cube of consecutive even numbers.
∴ Next number should be 630 + 102 = 730
Hence, option (a).
Workspace:
11, 10, ?, 100, 1001, 1000, 10001
- (a)
101
- (b)
102
- (c)
103
- (d)
104
- (e)
None of these
Answer: Option A
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Explanation :
The pattern is:
-1, × 10 + 1, -1, × 10 + 1, -1, × 10 + 1
So, the missing term = 10 × 10 + 1 = 101
Hence, option (a).
Workspace:
19, 97, 162, 214, 253, ?
- (a)
277
- (b)
279
- (c)
224
- (d)
280
- (e)
None of these
Answer: Option B
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Explanation :
Let us calculate the difference between consecutive terms.
97 – 19 = 78 = 6 × 13
162 – 97 = 65 = 5 × 13
214 – 162 = 52 = 4 × 13
253 – 214 = 39 = 3 × 13
∴ ? – 253 = 2 × 13 = 26
⇒ ? = 253 + 26 = 279
Hence, option (b).
Workspace:
9, 15, 26, 42, 63, ?
- (a)
79
- (b)
87
- (c)
89
- (d)
77
- (e)
None of these
Answer: Option C
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Explanation :
Let us calculate the difference between consecutive terms.
15 – 9 = 6
26 – 15 = 11
42 – 26 = 16
63 – 42 = 21
∴ ? – 63 = 26
⇒ ? = 63 + 26 = 89
Hence, option (c).
Workspace:
6, 10, 37, 53, 178, ?
- (a)
210
- (b)
212
- (c)
214
- (d)
216
- (e)
None of these
Answer: Option C
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Explanation :
Let us calculate the difference between consecutive terms.
10 – 6 = 4 = 22
37 – 10 = 27 = 33
53 – 37 = 16 = 42
178 – 53 = 125 = 53
∴ ? – 178 = 62 = 36
⇒ ? = 178 + 36 = 214
Hence, option (c).
Workspace:
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