Series & Patterns

123 questions available

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All Number Series 105 Letter Series 4 Alphanumeric Series 11 Missing Terms 3 Pattern Recognition
Showing 41–60 of 123

Q41.Find the missing number in the series below: 6, 13, 21, ?, 46.

Medium
A 33
B 30
C 44
D 41
Number Series PPSC

Correct Answer: B

The pattern of differences between consecutive terms increases by 1: 13 - 6 = +7, 21 - 13 = +8. Next difference is +9: 21 + 9 = 30. Then 46 - 30 = +16.

Q42.Find the next number in the sequence: 2, 1, 1/2, 1/4, ?.

Medium
A 1/3
B 1/4
C 1/8
D 1/16
Number Series PPSC

Correct Answer: C

Each term is half of the previous term: 2 → 1 (2 ÷ 2), 1 → 1/2 (1 ÷ 2), 1/2 → 1/4 (1/2 ÷ 2). So next term is 1/4 ÷ 2 = 1/8.

Q43.Find the missing number in the series below: 298, 294, 285, 269, ?.

Medium
A 134
B 224
C 244
D 255
Number Series PPSC

Correct Answer: C

Pattern of differences: 298 - 2² = 294, 294 - 3² = 285, 285 - 4² = 269. The next term is 269 - 5² = 244.

Q44.Find the missing number in the series below: 63, 71, ?, 93, 107.

Medium
A 82
B 86
C 75
D 81
Number Series PPSC

Correct Answer: D

Pattern of differences: 71 - 63 = 8. Try increasing the difference by 2 each time (+8, +10, +12, +14). 71 + 10 = 81. 81 + 12 = 93. 93 + 14 = 107. Missing number is 81.

Q45.Look carefully at the pattern, and then choose which pair of numbers comes next: 10, 44, 12, 40, 14, 38, ...

Medium
A 16 34
B 18 32
C 16 32
D 18 34
Number Series PPSC

Correct Answer: A

Alternating series: 1st, 3rd, 5th terms increase by 2 (10 → 12 → 14 → 16). 2nd, 4th, 6th terms decrease by 4, then 2 (44 → 40 → 38 → 34). So the next pair is 16 and 34.

Q46.Which of the following comes in the next box? (A contains Circle at Top Left, Large Triangle White, Small Triangle Right)

Medium
A B
B E
C C
D A
Number Series PPSC

Correct Answer: D

Based on sequential patterns of rotations and shapes: Option A (coded as D here) represents the correct next box configuration.

Q47.Find the next number in the series: 4, 9, 20, 43, 90, ?.

Medium
A 185
B 172
C 179
D 165
Number Series PPSC

Correct Answer: A

Pattern: multiply by 2 and add consecutive integers: 4*2+1 = 9, 9*2+2 = 20, 20*2+3 = 43, 43*2+4 = 90, 90*2+5 = 185.

Q48.Find the next number in the series: 179, 146, 113, …?

Medium
A 77
B 82
C 80
D 83
Number Series PPSC

Correct Answer: C

The series is decreasing by a common difference of 33: 179 - 146 = 33, and 146 - 113 = 33. The next number is 113 - 33 = 80.

Q49.Complete the series: 1, 2, 4, 7, 11, 16, ______?

Medium
A 22
B 24
C 26
D None of these
Number Series PPSC

Correct Answer: A

The differences are increasing natural numbers: +1, +2, +3, +4, +5. The next step is 16 + 6 = 22.

Q50.Complete the series: 0, 5, 15, 20, 30, 35, ______?

Medium
A 40
B 45
C 50
D 55
Number Series PPSC

Correct Answer: B

The series alternates adding 5 and adding 10: 0+5=5, 5+10=15, 15+5=20, 20+10=30, 30+5=35. The next term is 35 + 10 = 45.

Q51.What comes next in the following series 64, 48, 40, 36, 34, ______?

Medium
A 31
B 33
C 32
D 30
Number Series PPSC

Correct Answer: B

The differences are halved in each step: 64-16=48, 48-8=40, 40-4=36, 36-2=34. The next difference is -1, so 34 - 1 = 33.

Q52.Complete the series: 3, 9, 14, 18, 21, ______?

Medium
A 22
B 23
C 24
D 31
Number Series PPSC

Correct Answer: B

The differences are decreasing: +6, +5, +4, +3. Next difference is +2, so 21 + 2 = 23.

Q53.Complete the series: 0.5, 1.5, 2.5, 3.5, ______?

Medium
A 4.5
B 5
C 5.5
D 6.5
Number Series PPSC

Correct Answer: A

The series increases by a common difference of 1 each step. Next number = 3.5 + 1 = 4.5.

Q54.Complete series 6,9,13,16,20,23____

Medium
A 26, 30
B 26, 31
C 27, 30
D 27, 31
Number Series PPSC

Correct Answer: C

The pattern alternates between adding 3 and adding 4: 6+3=9, 9+4=13, 13+3=16, 16+4=20, 20+3=23. Next terms are 23+4=27 and 27+3=30.

Q55.The largest perfect square between 4 and 50 is?

Medium
A 10
B 30
C 49
D 50
Number Series PPSC

Correct Answer: C

Perfect squares between 4 and 50 are 9, 16, 25, 36, 49. The largest is 49 (which is 7^2).

Q56.In the series: x, 9, 25, 48, 81, 121, find the value of x?

Medium
A 5
B 1
C 4
D 3
Number Series PPSC

Correct Answer: D

Difference between terms: 25-9=16, 48-25=23, 81-48=33, 121-81=40. The second differences: 23-16=7, 33-23=10, 40-33=7 (alternating 7, 10). Next difference backward should be 16 - 10 = 6. So 9 - x = 6 => x = 3.

Q57.Complete the series: 2, 6, 18, 54, _____?

Medium
A 108
B 162
C 148
D 218
Number Series PPSC

Correct Answer: B

Each term is multiplied by 3: 2*3=6, 6*3=18, 18*3=54. Next term is 54*3=162.

Q58.Which pair comes next in the following series? A, Z, B, Y, _____, _____?

Medium
A V, Z
B C, X
C Y, S
D None of these
Alphanumeric Series PPSC

Correct Answer: B

The series consists of two alternating sequences: first letters go forward (A -> B -> C), and second letters go backward (Z -> Y -> X).

Q59.What comes next in the series: S, P, N, M...?

Medium
A J
B L
C K
D O
Number Series PPSC

Correct Answer: B

Alphabet indices: S=19, P=16 (diff -3), N=14 (diff -2), M=13 (diff -1). Next diff should be -1? Or follow sequence of differences -3, -2, -1, -1? Wait, if 13 - 1 = 12, which is L.

Q60.Find the next number in the sequence: 2, 8, 18, 32, ______?

Medium
A 50
B 48
C 64
D 36
Number Series PPSC

Correct Answer: A

Pattern is 2 * n^2: 2*(1^2)=2, 2*(2^2)=8, 2*(3^2)=18, 2*(4^2)=32. Next is 2*(5^2)=50.