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Competition Gurukul Logical Reasoning
1 Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
A.
C.
(1/3)
(2/8)
B.
D.
(1/8)
(1/16)
Answer & Explanation
Answer: Option B
Explanation:
This is a simple division series; each number is one-half of the previous number.
In other terms to say, the number is divided by 2 successively to get the next result.
4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.
2. Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
A.
C.
7
12
B.
D.
10
13
Answer & Explanation
Answer: Option B
Explanation:
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in
the second, 2 is subtracted.
3. Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
A.
C.
20
23
B.
D.
22
26
Answer & Explanation
Answer: Option B
Explanation:
This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on
Competition Gurukul Logical Reasoning
4. Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
A.
C.
22
25
B.
D.
24
26
Answer & Explanation
Answer: Option C
Explanation:
In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and
so on.
5. Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
A.
C.
12
27
B.
D.
14
53
Answer & Explanation
Answer: Option B
Explanation:
In this series, each number is repeated, then 13 is subtracted to arrive at the next number.
6. Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
A.
C.
14
21
B.
D.
15
23
Answer & Explanation
Answer: Option B
Explanation:
In this alternating repetition series, the random number 21 is interpolated every other number
into an otherwise simple addition series that increases by 2, beginning with the number 9.
Competition Gurukul Logical Reasoning
7. Look at this series: 58, 52, 46, 40, 34, ... What number should come next?
A.
C.
26
30
B.
D.
28
32
Answer & Explanation
Answer: Option B
Explanation:
This is a simple subtraction series. Each number is 6 less than the previous number.
8. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
A.
C.
7
14
B.
D.
10
15
Answer & Explanation
Answer: Option D
Explanation:
This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to
give 7; then 1 is added, and so on.
9. Look at this series: 8, 22, 8, 28, 8, ... What number should come next?
A.
C.
9
32
B.
D.
29
34
Answer & Explanation
Answer: Option D
Explanation:
This is a simple addition series with a random number, 8, interpolated as every other number.
In the series, 6 is added to each number except 8, to arrive at the next number.
10. Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
Competition Gurukul Logical Reasoning
A.
C.
15
13
B.
D.
14
12
Answer & Explanation
Answer: Option A
Explanation:
This is a simple alternating subtraction series, which subtracts 2, then 5.
11. Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
A.
C.
4.2
4.7
B.
D.
4.4
5.1
Answer & Explanation
Answer: Option C
Explanation:
In this simple addition series, each number increases by 0.8.
12. Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
A.
C.
52
96
B.
D.
56
128
Answer & Explanation
Answer: Option B
Explanation:
This is an alternating multiplication and subtracting series: First, multiply by 2 and then
subtract 8.
13. Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
A.
C.
11
13
B.
D.
12
14
Competition Gurukul Logical Reasoning
Answer & Explanation
Answer: Option B
Explanation:
This is a simple addition series. Each number increases by 2.
14. Look at this series: 201, 202, 204, 207, ... What number should come next?
A.
C.
205
210
B.
D.
208
211
Answer & Explanation
Answer: Option D
Explanation:
In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is
added to the third number; 4 is added to the fourth number; and go on.
15. Look at this series: 544, 509, 474, 439, ... What number should come next?
A.
C.
404
420
B.
D.
414
445
Answer & Explanation
Answer: Option A
Explanation:
This is a simple subtraction series. Each number is 35 less than the previous number.
16. Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
A.
C.
20
30
B.
D.
25
50
Answer & Explanation
Answer: Option A
Competition Gurukul Logical Reasoning
Explanation:
This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from
each number to arrive at the next. In the second, 5 is added to each number to arrive at the
next.
17. Look at this series: 2, 6, 18, 54, ... What number should come next?
A.
C.
108
162
B.
D.
148
216
Answer & Explanation
Answer: Option C
Explanation:
This is a simple multiplication series. Each number is 3 times more than the previous number.
18. Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
A.
C.
3
3.5
B.
D.
3.3
3.6
Answer & Explanation
Answer: Option D
Explanation:
In this simple subtraction series, each number decreases by 0.4.
19. Look at this series: 1000, 200, 40, ... What number should come next?
A.
C.
8
15
B.
D.
10
20
Answer & Explanation
Answer: Option A
Explanation:
Competition Gurukul Logical Reasoning
This is a simple division series. Each number is divided by 5.
Directions to Solve
Look carefully for the pattern, and then choose which pair of numbers comes next.
SECTION-2
1. 28 25 5 21 18 5 14
A.
C.
E.
11 5
11 8
10 5
B.
D.
10 7
5 10
Answer & Explanation
Answer: Option A
Explanation:
This is an alternating subtraction series with the interpolation of a random number, 5, as
every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.
2. 8 11 21 15 18 21 22
A.
C.
E.
25 18
25 29
22 26
B.
D.
25 21
24 21
Answer & Explanation
Answer: Option B
Explanation:
This is an alternating addition series, with a random number, 21, interpolated as every
third number. The addition series alternates between adding 3 and adding 4. The
number 21 appears after each number arrived at by adding 3.
3. 9 16 23 30 37 44 51
A. 59 66 B. 56 62
Competition Gurukul Logical Reasoning
C.
E.
58 66
54 61
D. 58 65
Answer & Explanation
Answer: Option D
Explanation:
Here is a simple addition series, which begins with 9 and adds 7.
4. 2 8 14 20 26 32 38
A.
C.
E.
2 46
42 48
32 26
B.
D.
44 50
40 42
Answer & Explanation
Answer: Option B
Explanation:
This is a simple addition series, which begins with 2 and adds 6.
5. 9 11 33 13 15 33 17
A.
C.
E.
19 33
33 19
19 21
B.
D.
33 35
15 33
Answer & Explanation
Answer: Option A
Explanation:
In this alternating repetition series, a random number, 33, is interpolated every third
number into a simple addition series, in which each number increases by 2.
6. 2345648
Competition Gurukul Logical Reasoning
A.
C.
E.
9 10
10 4
89
B.
D.
48
94
Answer & Explanation
Answer: Option D
Explanation:
This is an alternating addition series with a random number, 4, interpolated as every third
number. In the main series, 1 is added, then 2 is added, then 1, then 2, and so on.
7. 17 17 34 20 20 31 23
A.
C.
E.
26 23
23 33
23 28
B.
D.
34 20
27 28
Answer & Explanation
Answer: Option E
Explanation:
This is an alternating subtraction series with repetition. There are two different patterns here.
In the first, a number repeats itself; then 3 is added to that number to arrive at the next
number, which also repeats. This gives the series 17, 17, 20, 20, 23, and so on. Every third
number follows a second pattern, in which 3 is subtracted from each number to arrive at the
next: 34, 31, 28.
8. 6 20 8 14 10 8 12
A.
C.
E.
14 10
4 12
14 14
B.
D.
2 18
2 14
Answer & Explanation
Answer: Option D
Competition Gurukul Logical Reasoning
Explanation:
This is an alternating addition and subtraction series. In the first pattern, 2 is added to each
number to arrive at the next; in the alternate pattern, 6 is subtracted from each number to
arrive at the next.
9. 21 25 18 29 33 18
A.
C.
E.
43 18
37 18
38 41
B.
D.
41 44
37 41
Answer & Explanation
Answer: Option D
Explanation:
This is a simple addition series with a random number, 18, interpolated as every third number.
In the series, 4 is added to each number except 18, to arrive at the next number.
10. 75 65 85 55 45 85 35
A.
C.
E.
25 15
35 25
25 75
B.
D.
25 85
85 35
Answer & Explanation
Answer: Option B
Explanation:
This is a simple subtraction series in which a random number, 85, is interpolated as every
third number. In the subtraction series, 10 is subtracted from each number to arrive at the
next.
11. 11 16 21 26 31 36 41
A.
C.
47 52
45 49
B.
D.
46 52
46 51
Competition Gurukul Logical Reasoning
Answer & Explanation
Answer: Option D
Explanation:
In this simple addition series, each number is 5 more than the previous number.
12. 3 8 13 18 23 28 33
A.
C.
E.
39 44
38 43
33 38
B.
D.
38 44
37 42
Answer & Explanation
Answer: Option C
Explanation:
In this simple addition series, each number is 5 greater than the previous number.
13. 84 78 72 66 60 54 48
A.
C.
E.
44 34
42 32
38 32
B.
D.
42 36
40 34
Answer & Explanation
Answer: Option B
Explanation:
In this simple subtraction series, each number is 6 less than the previous number.
14. 20 20 17 17 14 14 11
A. 88 B. 11 11
Competition Gurukul Logical Reasoning
C.
E.
11 14
11 8
D. 89
Answer & Explanation
Answer: Option E
Explanation:
This is a simple subtraction with repetition series. It begins with 20, which is repeated, then 3
is subtracted, resulting in 17, which is repeated, and so on.
15. 61 57 50 61 43 36 61
A.
C.
E.
29 61
31 61
29 22
B.
D.
27 20
22 15
Answer & Explanation
Answer: Option E
Explanation:
This is an alternating repetition series, in which a random number, 61, is interpolated as every
third number into an otherwise simple subtraction series. Starting with the second number,
57, each number (except 61) is 7 less than the previous number.
16. 9 12 11 14 13 16 15
A.
C.
E.
14 13
14 17
18 17
B.
D.
18 21
12 13
Answer & Explanation
Answer: Option E
Explanation:
This is a simple alternating addition and subtraction series. First, 3 is added, then 1 is
subtracted, then 3 is added, 1 subtracted, and so on.
Competition Gurukul Logical Reasoning
17. 4 8 22 12 16 22 20 24
A.
C.
E.
28 32
22 28
22 26
B.
D.
28 22
32 36
Answer & Explanation
Answer: Option C
Explanation:
This is an alternating repetition series, with a random number, 22, interpolated as every third
number into an otherwise simple addition series. In the addition series, 4 is added to each
number to arrive at the next number.
18. 40 40 31 31 22 22 13
A.
C.
E.
13 4
4 13
44
B.
D.
13 5
94
Answer & Explanation
Answer: Option A
Explanation:
This is a subtraction series with repetition. Each number repeats itself and then decreases by
9.
19. 1 10 7 20 13 30 19
A.
C.
E.
26 40
40 25
40 50
B.
D.
29 36
25 31
Answer & Explanation
Competition Gurukul Logical Reasoning
Answer: Option C
Explanation:
Here, every other number follows a different pattern. In the first series, 6 is added to each
number to arrive at the next. In the second series, 10 is added to each number to arrive at the
next.
20. 10 20 25 35 40 50 55
A.
C.
E.
70 65
60 75
65 70
B.
D.
60 70
60 65
Answer & Explanation
Answer: Option E
Explanation:
This is an alternating addition series, in which 10 is added, then 5, then 10, and so on.
Look carefully for the pattern, and then choose which pair of numbers comes next.
SECTION-3
1. 42 40 38 35 33 31 28
A.
C.
E.
25 22
26 24
26 22
B.
D.
26 23
25 23
Answer & Explanation
Answer: Option C
Explanation:
This is an alternating subtraction series in which 2 is subtracted twice, then 3 is
subtracted once, then 2 is subtracted twice, and so on.
Competition Gurukul Logical Reasoning
2. 6 10 14 18 22 26 30
A.
C.
E.
36 40
38 42
34 38
B.
D.
33 37
34 36
Answer & Explanation
Answer: Option E
Explanation:
This simple addition series adds 4 to each number to arrive at the next.
3. 8 12 9 13 10 14 11
A.
C.
E.
14 11
8 15
85
B.
D.
15 12
15 19
Answer & Explanation
Answer: Option B
Explanation:
This is an alternating addition and subtraction series, in which the addition of 4 is
alternated with the subtraction of 3.
4. 36 31 29 24 22 17 15
A.
C.
E.
13 11
13 8
10 8
B.
D.
10 5
12 7
Answer & Explanation
Answer: Option E
Explanation:
Competition Gurukul Logical Reasoning
This is an alternating subtraction series, which subtracts 5, then 2, then 5, and so on.
5. 3 5 35 10 12 35 17
A.
C.
E.
22 35
19 35
22 24
B.
D.
35 19
19 24
Answer & Explanation
Answer: Option C
Explanation:
This is an alternating addition series, with a random number, 35, interpolated as every
third number. The pattern of addition is to add 2, add 5, add 2, and so on. The number
35 comes after each "add 2" step/
6. 13 29 15 26 17 23 19
A.
C.
E.
21 23
20 17
22 20
B.
D.
20 21
25 27
Answer & Explanation
Answer: Option B
Explanation:
Here, there are two alternating patterns, with every other number following a different
pattern. The first pattern begins with 13 and adds 2 to each number to arrive at the next; the
alternating pattern begins with 29 and subtracts 3 each time.
7. 14 14 26 26 38 38 50
A.
C.
E.
60 72
50 72
62 80
B.
D.
50 62
62 62
Answer & Explanation
Competition Gurukul Logical Reasoning
Answer: Option B
Explanation:
In this simple addition with repetition series, each number in the series repeats itself, and then
increases by 12 to arrive at the next number.
8. 44 41 38 35 32 29 26
A.
C.
E.
24 21
23 19
23 20
B.
D.
22 19
29 32
Answer & Explanation
Answer: Option E
Explanation:
This is a simple subtraction series, in which 3 is subtracted from each number to arrive at the
next.
9. 34 30 26 22 18 14 10
A.
C.
E.
86
14 18
40
B.
D.
64
62
Answer & Explanation
Answer: Option D
Explanation:
This is a simple subtraction series, in which 4 is subtracted from each number to arrive at the
next.
10. 32 31 32 29 32 27 32
Competition Gurukul Logical Reasoning
A.
C.
E.
25 32
29 32
29 30
B.
D.
31 32
25 30
Answer & Explanation
Answer: Option A
Explanation:
This is an alternating repetition series. The number 32 alternates with a series in which each
number decreases by 2.
11. 7 9 66 12 14 66 17
A.
C.
E.
19 66
19 22
66 20
B.
D.
66 19
20 66
Answer & Explanation
Answer: Option A
Explanation:
This is an alternating addition series with repetition, in which a random number, 66, is
interpolated as every third number. The regular series adds 2, then 3, then 2, and so on, with
66 repeated after each "add 2" step.
12. 3 8 10 15 17 22 24
A.
C.
E.
26 28
29 31
26 32
B.
D.
29 34
26 31
Answer & Explanation
Answer: Option C
Explanation:
This is an alternating addition series that adds 5, then 2, then 5, and so on.
Competition Gurukul Logical Reasoning
13. 4 7 26 10 13 20 16
A.
C.
E.
14 4
18 14
19 14
B.
D.
14 17
19 13
Answer & Explanation
Answer: Option E
Explanation:
Two patterns alternate here, with every third number following the alternate pattern. In the
main series, beginning with 4, 3 is added to each number to arrive at the next. In the
alternating series, beginning with 26, 6 is subtracted from each number to arrive at the next.
14. 32 29 26 23 20 17 14
A.
C.
E.
11 8
11 7
10 9
B.
D.
12 8
32 29
Answer & Explanation
Answer: Option A
Explanation:
In this simple subtraction series, the numbers decrease by 3.
15. 16 26 56 36 46 68 56
A.
C.
E.
80 66
66 80
66 82
B.
D.
64 82
78 68
Answer & Explanation
Competition Gurukul Logical Reasoning
Answer: Option C
Explanation:
Here, every third number follows a different pattern from the main series. In the main series,
beginning with 16, 10 is added to each number to arrive at the next. In the alternating series,
beginning with 56, 12 is added to each number to arrive at the next.
16. 2 44 4 41 6 38 8
A.
C.
E.
10 12
34 9
10 52
B.
D.
35 32
35 10
Answer & Explanation
Answer: Option D
Explanation:
Here, there are two alternating patterns, one addition and one subtraction. The first starts
with 2 and increases by 2; the second starts with 44 and decreases by 3.
17. 17 32 19 29 21 26 23
A.
C.
E.
25 25
23 25
27 32
B.
D.
20 22
25 22
Answer & Explanation
Answer: Option C
Explanation:
Here, there are two alternating patterns. The first begins with 17 and adds 2; the second
begins with 32 and subtracts 3.
18. 17 14 14 11 11 8 8
A. 85 B. 52
Competition Gurukul Logical Reasoning
C.
E.
82
58
D. 55
Answer & Explanation
Answer: Option D
Explanation:
In this simple subtraction with repetition series, each number is repeated, then 3 is subtracted
to give the next number, which is then repeated, and so on.
19. 10 34 12 31 14 28 16
A.
C.
E.
25 18
19 26
25 22
B.
D.
30 13
18 20
Answer & Explanation
Answer: Option A
Explanation:
Two patterns alternate here. The first pattern begins with 10 and adds 2 to each number to
arrive at the next; the alternating pattern begins with 34 and subtracts 3 each time.
20. 11 14 14 17 17 20 20
A.
C.
E.
23 23
21 24
24 27
B.
D.
23 26
24 24
Answer & Explanation
Answer: Option A
Explanation:
This is a simple addition series with repetition. It adds 3 to each number to arrive at the next,
which is repeated before 3 is added again.
Competition Gurukul Logical Reasoning
Find the number that fits somewhere into the middle of the series. Some of the items involve
both numbers and letters
Section-4
1. Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank?
A.
C.
A16
E4
B.
D.
G4
E3
Answer & Explanation
Answer: Option C
Explanation:
The letters decrease by 1; the numbers are multiplied by 2.
2. Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
A.
C.
85
109
B.
D.
97
178
Answer & Explanation
Answer: Option D
Explanation:
This is an alternating division and addition series: First, divide by 2, and then add 8.
3. Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank?
A.
C.
IX
XV
B.
D.
XXIII
XVII
Answer & Explanation
Answer: Option D
Explanation:
This is a simple addition series; each number is 3 more than the previous number.
Competition Gurukul Logical Reasoning
4. Look at this series: 70, 71, 76, __, 81, 86, 70, 91, ... What number should fill the blank?
A.
C.
70
80
B.
D.
71
96
Answer & Explanation
Answer: Option A
Explanation:
In this series, 5 is added to the previous number; the number 70 is inserted as every
third number.
5. Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?
A.
C.
8
43
B.
D.
14
44
Answer & Explanation
Answer: Option B
Explanation:
This is a simple alternating addition and subtraction series. The first series begins with 8
and adds 3; the second begins with 43 and subtracts 2.
6. Look at this series: VI, 10, V, 11, __, 12, III, ... What number should fill the blank?
A.
C.
II
IX
B.
D.
IV
14
Answer & Explanation
Answer: Option B
Explanation:
This is an alternating addition and subtraction series. Roman numbers alternate with Arabic
numbers. In the Roman numeral pattern, each number decreases by 1. In the Arabic numeral
pattern, each number increases by 1.
Competition Gurukul Logical Reasoning
7. Look at this series: (1/9), (1/3), 1, ____ , 9, ... What number should fill the blank?
A.
C.
(2/3)
6
B.
D.
3
27
Answer & Explanation
Answer: Option B
Explanation:
This is a multiplication series; each number is 3 times the previous number.
8. Look at this series: 83, 73, 93, 63, __, 93, 43, ... What number should fill the blank?
A.
C.
33
73
B.
D.
53
93
Answer & Explanation
Answer: Option B
Explanation:
This is a simple subtraction series in which a random number, 93, is interpolated as every
third number. In the subtraction series, 10 is subtracted from each number to arrive at the
next.
9. Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank?
A.
C.
51
23
B.
D.
39
15
Answer & Explanation
Answer: Option D
Explanation:
In this simple addition with repetition series, each number in the series repeats itself, and then
increases by 12 to arrive at the next number.
10. Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Competition Gurukul Logical Reasoning
A.
C.
70
75
B.
D.
71
78
Answer & Explanation
Answer: Option D
Explanation:
This series alternates the addition of 4 with the subtraction of 3.
11. Look at this series: J14, L16, __, P20, R22, ... What number should fill the blank?
A.
C.
S24
M18
B.
D.
N18
T24
Answer & Explanation
Answer: Option B
Explanation:
In this series, the letters progress by 2, and the numbers increase by 2.
12. Look at this series: 4, 7, 25, 10, __, 20, 16, 19, ... What number should fill the blank?
A.
C.
13
20
B.
D.
15
28
Answer & Explanation
Answer: Option A
Explanation:
Two series alternate here, with every third number following a different pattern. In the main
series, 3 is added to each number to arrive at the next. In the alternating series, 5 is
subtracted from each number to arrive at the next.
13. Look at this series: XXIV, XX, __, XII, VIII, ... What number should fill the blank?
A. XXII B. XIII
Competition Gurukul Logical Reasoning
C. XVI D. IV
Answer & Explanation
Answer: Option C
Explanation:
This is a simple subtraction series; each number is 4 less than the previous number.
14. Look at this series: 0.15, 0.3, ____, 1.2, 2.4, ... What number should fill the blank?
A.
C.
4.8
0.6
B.
D.
0.006
0.9
Answer & Explanation
Answer: Option C
Explanation:
This is a simple multiplication series. Each number is 2 times greater than the previous
number.
15. Look at this series: U32, V29, __, X23, Y20, ... What number should fill the blank?
A.
C.
W26
Z17
B.
D.
W17
Z26
Answer & Explanation
Answer: Option A
Explanation:
In this series, the letters progress by 1; the numbers decrease by 3.

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Number Series Questions - Competition Gurukul

  • 1. Competition Gurukul Logical Reasoning 1 Look at this series: 2, 1, (1/2), (1/4), ... What number should come next? A. C. (1/3) (2/8) B. D. (1/8) (1/16) Answer & Explanation Answer: Option B Explanation: This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result. 4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8 and so on. 2. Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next? A. C. 7 12 B. D. 10 13 Answer & Explanation Answer: Option B Explanation: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted. 3. Look at this series: 36, 34, 30, 28, 24, ... What number should come next? A. C. 20 23 B. D. 22 26 Answer & Explanation Answer: Option B Explanation: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on
  • 2. Competition Gurukul Logical Reasoning 4. Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next? A. C. 22 25 B. D. 24 26 Answer & Explanation Answer: Option C Explanation: In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on. 5. Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next? A. C. 12 27 B. D. 14 53 Answer & Explanation Answer: Option B Explanation: In this series, each number is repeated, then 13 is subtracted to arrive at the next number. 6. Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next? A. C. 14 21 B. D. 15 23 Answer & Explanation Answer: Option B Explanation: In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.
  • 3. Competition Gurukul Logical Reasoning 7. Look at this series: 58, 52, 46, 40, 34, ... What number should come next? A. C. 26 30 B. D. 28 32 Answer & Explanation Answer: Option B Explanation: This is a simple subtraction series. Each number is 6 less than the previous number. 8. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next? A. C. 7 14 B. D. 10 15 Answer & Explanation Answer: Option D Explanation: This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on. 9. Look at this series: 8, 22, 8, 28, 8, ... What number should come next? A. C. 9 32 B. D. 29 34 Answer & Explanation Answer: Option D Explanation: This is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number. 10. Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
  • 4. Competition Gurukul Logical Reasoning A. C. 15 13 B. D. 14 12 Answer & Explanation Answer: Option A Explanation: This is a simple alternating subtraction series, which subtracts 2, then 5. 11. Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next? A. C. 4.2 4.7 B. D. 4.4 5.1 Answer & Explanation Answer: Option C Explanation: In this simple addition series, each number increases by 0.8. 12. Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next? A. C. 52 96 B. D. 56 128 Answer & Explanation Answer: Option B Explanation: This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8. 13. Look at this series: 2, 4, 6, 8, 10, ... What number should come next? A. C. 11 13 B. D. 12 14
  • 5. Competition Gurukul Logical Reasoning Answer & Explanation Answer: Option B Explanation: This is a simple addition series. Each number increases by 2. 14. Look at this series: 201, 202, 204, 207, ... What number should come next? A. C. 205 210 B. D. 208 211 Answer & Explanation Answer: Option D Explanation: In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on. 15. Look at this series: 544, 509, 474, 439, ... What number should come next? A. C. 404 420 B. D. 414 445 Answer & Explanation Answer: Option A Explanation: This is a simple subtraction series. Each number is 35 less than the previous number. 16. Look at this series: 80, 10, 70, 15, 60, ... What number should come next? A. C. 20 30 B. D. 25 50 Answer & Explanation Answer: Option A
  • 6. Competition Gurukul Logical Reasoning Explanation: This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next. 17. Look at this series: 2, 6, 18, 54, ... What number should come next? A. C. 108 162 B. D. 148 216 Answer & Explanation Answer: Option C Explanation: This is a simple multiplication series. Each number is 3 times more than the previous number. 18. Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next? A. C. 3 3.5 B. D. 3.3 3.6 Answer & Explanation Answer: Option D Explanation: In this simple subtraction series, each number decreases by 0.4. 19. Look at this series: 1000, 200, 40, ... What number should come next? A. C. 8 15 B. D. 10 20 Answer & Explanation Answer: Option A Explanation:
  • 7. Competition Gurukul Logical Reasoning This is a simple division series. Each number is divided by 5. Directions to Solve Look carefully for the pattern, and then choose which pair of numbers comes next. SECTION-2 1. 28 25 5 21 18 5 14 A. C. E. 11 5 11 8 10 5 B. D. 10 7 5 10 Answer & Explanation Answer: Option A Explanation: This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on. 2. 8 11 21 15 18 21 22 A. C. E. 25 18 25 29 22 26 B. D. 25 21 24 21 Answer & Explanation Answer: Option B Explanation: This is an alternating addition series, with a random number, 21, interpolated as every third number. The addition series alternates between adding 3 and adding 4. The number 21 appears after each number arrived at by adding 3. 3. 9 16 23 30 37 44 51 A. 59 66 B. 56 62
  • 8. Competition Gurukul Logical Reasoning C. E. 58 66 54 61 D. 58 65 Answer & Explanation Answer: Option D Explanation: Here is a simple addition series, which begins with 9 and adds 7. 4. 2 8 14 20 26 32 38 A. C. E. 2 46 42 48 32 26 B. D. 44 50 40 42 Answer & Explanation Answer: Option B Explanation: This is a simple addition series, which begins with 2 and adds 6. 5. 9 11 33 13 15 33 17 A. C. E. 19 33 33 19 19 21 B. D. 33 35 15 33 Answer & Explanation Answer: Option A Explanation: In this alternating repetition series, a random number, 33, is interpolated every third number into a simple addition series, in which each number increases by 2. 6. 2345648
  • 9. Competition Gurukul Logical Reasoning A. C. E. 9 10 10 4 89 B. D. 48 94 Answer & Explanation Answer: Option D Explanation: This is an alternating addition series with a random number, 4, interpolated as every third number. In the main series, 1 is added, then 2 is added, then 1, then 2, and so on. 7. 17 17 34 20 20 31 23 A. C. E. 26 23 23 33 23 28 B. D. 34 20 27 28 Answer & Explanation Answer: Option E Explanation: This is an alternating subtraction series with repetition. There are two different patterns here. In the first, a number repeats itself; then 3 is added to that number to arrive at the next number, which also repeats. This gives the series 17, 17, 20, 20, 23, and so on. Every third number follows a second pattern, in which 3 is subtracted from each number to arrive at the next: 34, 31, 28. 8. 6 20 8 14 10 8 12 A. C. E. 14 10 4 12 14 14 B. D. 2 18 2 14 Answer & Explanation Answer: Option D
  • 10. Competition Gurukul Logical Reasoning Explanation: This is an alternating addition and subtraction series. In the first pattern, 2 is added to each number to arrive at the next; in the alternate pattern, 6 is subtracted from each number to arrive at the next. 9. 21 25 18 29 33 18 A. C. E. 43 18 37 18 38 41 B. D. 41 44 37 41 Answer & Explanation Answer: Option D Explanation: This is a simple addition series with a random number, 18, interpolated as every third number. In the series, 4 is added to each number except 18, to arrive at the next number. 10. 75 65 85 55 45 85 35 A. C. E. 25 15 35 25 25 75 B. D. 25 85 85 35 Answer & Explanation Answer: Option B Explanation: This is a simple subtraction series in which a random number, 85, is interpolated as every third number. In the subtraction series, 10 is subtracted from each number to arrive at the next. 11. 11 16 21 26 31 36 41 A. C. 47 52 45 49 B. D. 46 52 46 51
  • 11. Competition Gurukul Logical Reasoning Answer & Explanation Answer: Option D Explanation: In this simple addition series, each number is 5 more than the previous number. 12. 3 8 13 18 23 28 33 A. C. E. 39 44 38 43 33 38 B. D. 38 44 37 42 Answer & Explanation Answer: Option C Explanation: In this simple addition series, each number is 5 greater than the previous number. 13. 84 78 72 66 60 54 48 A. C. E. 44 34 42 32 38 32 B. D. 42 36 40 34 Answer & Explanation Answer: Option B Explanation: In this simple subtraction series, each number is 6 less than the previous number. 14. 20 20 17 17 14 14 11 A. 88 B. 11 11
  • 12. Competition Gurukul Logical Reasoning C. E. 11 14 11 8 D. 89 Answer & Explanation Answer: Option E Explanation: This is a simple subtraction with repetition series. It begins with 20, which is repeated, then 3 is subtracted, resulting in 17, which is repeated, and so on. 15. 61 57 50 61 43 36 61 A. C. E. 29 61 31 61 29 22 B. D. 27 20 22 15 Answer & Explanation Answer: Option E Explanation: This is an alternating repetition series, in which a random number, 61, is interpolated as every third number into an otherwise simple subtraction series. Starting with the second number, 57, each number (except 61) is 7 less than the previous number. 16. 9 12 11 14 13 16 15 A. C. E. 14 13 14 17 18 17 B. D. 18 21 12 13 Answer & Explanation Answer: Option E Explanation: This is a simple alternating addition and subtraction series. First, 3 is added, then 1 is subtracted, then 3 is added, 1 subtracted, and so on.
  • 13. Competition Gurukul Logical Reasoning 17. 4 8 22 12 16 22 20 24 A. C. E. 28 32 22 28 22 26 B. D. 28 22 32 36 Answer & Explanation Answer: Option C Explanation: This is an alternating repetition series, with a random number, 22, interpolated as every third number into an otherwise simple addition series. In the addition series, 4 is added to each number to arrive at the next number. 18. 40 40 31 31 22 22 13 A. C. E. 13 4 4 13 44 B. D. 13 5 94 Answer & Explanation Answer: Option A Explanation: This is a subtraction series with repetition. Each number repeats itself and then decreases by 9. 19. 1 10 7 20 13 30 19 A. C. E. 26 40 40 25 40 50 B. D. 29 36 25 31 Answer & Explanation
  • 14. Competition Gurukul Logical Reasoning Answer: Option C Explanation: Here, every other number follows a different pattern. In the first series, 6 is added to each number to arrive at the next. In the second series, 10 is added to each number to arrive at the next. 20. 10 20 25 35 40 50 55 A. C. E. 70 65 60 75 65 70 B. D. 60 70 60 65 Answer & Explanation Answer: Option E Explanation: This is an alternating addition series, in which 10 is added, then 5, then 10, and so on. Look carefully for the pattern, and then choose which pair of numbers comes next. SECTION-3 1. 42 40 38 35 33 31 28 A. C. E. 25 22 26 24 26 22 B. D. 26 23 25 23 Answer & Explanation Answer: Option C Explanation: This is an alternating subtraction series in which 2 is subtracted twice, then 3 is subtracted once, then 2 is subtracted twice, and so on.
  • 15. Competition Gurukul Logical Reasoning 2. 6 10 14 18 22 26 30 A. C. E. 36 40 38 42 34 38 B. D. 33 37 34 36 Answer & Explanation Answer: Option E Explanation: This simple addition series adds 4 to each number to arrive at the next. 3. 8 12 9 13 10 14 11 A. C. E. 14 11 8 15 85 B. D. 15 12 15 19 Answer & Explanation Answer: Option B Explanation: This is an alternating addition and subtraction series, in which the addition of 4 is alternated with the subtraction of 3. 4. 36 31 29 24 22 17 15 A. C. E. 13 11 13 8 10 8 B. D. 10 5 12 7 Answer & Explanation Answer: Option E Explanation:
  • 16. Competition Gurukul Logical Reasoning This is an alternating subtraction series, which subtracts 5, then 2, then 5, and so on. 5. 3 5 35 10 12 35 17 A. C. E. 22 35 19 35 22 24 B. D. 35 19 19 24 Answer & Explanation Answer: Option C Explanation: This is an alternating addition series, with a random number, 35, interpolated as every third number. The pattern of addition is to add 2, add 5, add 2, and so on. The number 35 comes after each "add 2" step/ 6. 13 29 15 26 17 23 19 A. C. E. 21 23 20 17 22 20 B. D. 20 21 25 27 Answer & Explanation Answer: Option B Explanation: Here, there are two alternating patterns, with every other number following a different pattern. The first pattern begins with 13 and adds 2 to each number to arrive at the next; the alternating pattern begins with 29 and subtracts 3 each time. 7. 14 14 26 26 38 38 50 A. C. E. 60 72 50 72 62 80 B. D. 50 62 62 62 Answer & Explanation
  • 17. Competition Gurukul Logical Reasoning Answer: Option B Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number. 8. 44 41 38 35 32 29 26 A. C. E. 24 21 23 19 23 20 B. D. 22 19 29 32 Answer & Explanation Answer: Option E Explanation: This is a simple subtraction series, in which 3 is subtracted from each number to arrive at the next. 9. 34 30 26 22 18 14 10 A. C. E. 86 14 18 40 B. D. 64 62 Answer & Explanation Answer: Option D Explanation: This is a simple subtraction series, in which 4 is subtracted from each number to arrive at the next. 10. 32 31 32 29 32 27 32
  • 18. Competition Gurukul Logical Reasoning A. C. E. 25 32 29 32 29 30 B. D. 31 32 25 30 Answer & Explanation Answer: Option A Explanation: This is an alternating repetition series. The number 32 alternates with a series in which each number decreases by 2. 11. 7 9 66 12 14 66 17 A. C. E. 19 66 19 22 66 20 B. D. 66 19 20 66 Answer & Explanation Answer: Option A Explanation: This is an alternating addition series with repetition, in which a random number, 66, is interpolated as every third number. The regular series adds 2, then 3, then 2, and so on, with 66 repeated after each "add 2" step. 12. 3 8 10 15 17 22 24 A. C. E. 26 28 29 31 26 32 B. D. 29 34 26 31 Answer & Explanation Answer: Option C Explanation: This is an alternating addition series that adds 5, then 2, then 5, and so on.
  • 19. Competition Gurukul Logical Reasoning 13. 4 7 26 10 13 20 16 A. C. E. 14 4 18 14 19 14 B. D. 14 17 19 13 Answer & Explanation Answer: Option E Explanation: Two patterns alternate here, with every third number following the alternate pattern. In the main series, beginning with 4, 3 is added to each number to arrive at the next. In the alternating series, beginning with 26, 6 is subtracted from each number to arrive at the next. 14. 32 29 26 23 20 17 14 A. C. E. 11 8 11 7 10 9 B. D. 12 8 32 29 Answer & Explanation Answer: Option A Explanation: In this simple subtraction series, the numbers decrease by 3. 15. 16 26 56 36 46 68 56 A. C. E. 80 66 66 80 66 82 B. D. 64 82 78 68 Answer & Explanation
  • 20. Competition Gurukul Logical Reasoning Answer: Option C Explanation: Here, every third number follows a different pattern from the main series. In the main series, beginning with 16, 10 is added to each number to arrive at the next. In the alternating series, beginning with 56, 12 is added to each number to arrive at the next. 16. 2 44 4 41 6 38 8 A. C. E. 10 12 34 9 10 52 B. D. 35 32 35 10 Answer & Explanation Answer: Option D Explanation: Here, there are two alternating patterns, one addition and one subtraction. The first starts with 2 and increases by 2; the second starts with 44 and decreases by 3. 17. 17 32 19 29 21 26 23 A. C. E. 25 25 23 25 27 32 B. D. 20 22 25 22 Answer & Explanation Answer: Option C Explanation: Here, there are two alternating patterns. The first begins with 17 and adds 2; the second begins with 32 and subtracts 3. 18. 17 14 14 11 11 8 8 A. 85 B. 52
  • 21. Competition Gurukul Logical Reasoning C. E. 82 58 D. 55 Answer & Explanation Answer: Option D Explanation: In this simple subtraction with repetition series, each number is repeated, then 3 is subtracted to give the next number, which is then repeated, and so on. 19. 10 34 12 31 14 28 16 A. C. E. 25 18 19 26 25 22 B. D. 30 13 18 20 Answer & Explanation Answer: Option A Explanation: Two patterns alternate here. The first pattern begins with 10 and adds 2 to each number to arrive at the next; the alternating pattern begins with 34 and subtracts 3 each time. 20. 11 14 14 17 17 20 20 A. C. E. 23 23 21 24 24 27 B. D. 23 26 24 24 Answer & Explanation Answer: Option A Explanation: This is a simple addition series with repetition. It adds 3 to each number to arrive at the next, which is repeated before 3 is added again.
  • 22. Competition Gurukul Logical Reasoning Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters Section-4 1. Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank? A. C. A16 E4 B. D. G4 E3 Answer & Explanation Answer: Option C Explanation: The letters decrease by 1; the numbers are multiplied by 2. 2. Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank? A. C. 85 109 B. D. 97 178 Answer & Explanation Answer: Option D Explanation: This is an alternating division and addition series: First, divide by 2, and then add 8. 3. Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank? A. C. IX XV B. D. XXIII XVII Answer & Explanation Answer: Option D Explanation: This is a simple addition series; each number is 3 more than the previous number.
  • 23. Competition Gurukul Logical Reasoning 4. Look at this series: 70, 71, 76, __, 81, 86, 70, 91, ... What number should fill the blank? A. C. 70 80 B. D. 71 96 Answer & Explanation Answer: Option A Explanation: In this series, 5 is added to the previous number; the number 70 is inserted as every third number. 5. Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank? A. C. 8 43 B. D. 14 44 Answer & Explanation Answer: Option B Explanation: This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2. 6. Look at this series: VI, 10, V, 11, __, 12, III, ... What number should fill the blank? A. C. II IX B. D. IV 14 Answer & Explanation Answer: Option B Explanation: This is an alternating addition and subtraction series. Roman numbers alternate with Arabic numbers. In the Roman numeral pattern, each number decreases by 1. In the Arabic numeral pattern, each number increases by 1.
  • 24. Competition Gurukul Logical Reasoning 7. Look at this series: (1/9), (1/3), 1, ____ , 9, ... What number should fill the blank? A. C. (2/3) 6 B. D. 3 27 Answer & Explanation Answer: Option B Explanation: This is a multiplication series; each number is 3 times the previous number. 8. Look at this series: 83, 73, 93, 63, __, 93, 43, ... What number should fill the blank? A. C. 33 73 B. D. 53 93 Answer & Explanation Answer: Option B Explanation: This is a simple subtraction series in which a random number, 93, is interpolated as every third number. In the subtraction series, 10 is subtracted from each number to arrive at the next. 9. Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank? A. C. 51 23 B. D. 39 15 Answer & Explanation Answer: Option D Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number. 10. Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
  • 25. Competition Gurukul Logical Reasoning A. C. 70 75 B. D. 71 78 Answer & Explanation Answer: Option D Explanation: This series alternates the addition of 4 with the subtraction of 3. 11. Look at this series: J14, L16, __, P20, R22, ... What number should fill the blank? A. C. S24 M18 B. D. N18 T24 Answer & Explanation Answer: Option B Explanation: In this series, the letters progress by 2, and the numbers increase by 2. 12. Look at this series: 4, 7, 25, 10, __, 20, 16, 19, ... What number should fill the blank? A. C. 13 20 B. D. 15 28 Answer & Explanation Answer: Option A Explanation: Two series alternate here, with every third number following a different pattern. In the main series, 3 is added to each number to arrive at the next. In the alternating series, 5 is subtracted from each number to arrive at the next. 13. Look at this series: XXIV, XX, __, XII, VIII, ... What number should fill the blank? A. XXII B. XIII
  • 26. Competition Gurukul Logical Reasoning C. XVI D. IV Answer & Explanation Answer: Option C Explanation: This is a simple subtraction series; each number is 4 less than the previous number. 14. Look at this series: 0.15, 0.3, ____, 1.2, 2.4, ... What number should fill the blank? A. C. 4.8 0.6 B. D. 0.006 0.9 Answer & Explanation Answer: Option C Explanation: This is a simple multiplication series. Each number is 2 times greater than the previous number. 15. Look at this series: U32, V29, __, X23, Y20, ... What number should fill the blank? A. C. W26 Z17 B. D. W17 Z26 Answer & Explanation Answer: Option A Explanation: In this series, the letters progress by 1; the numbers decrease by 3.