IPMPrepWhat comes next in the series: 8, 14, 26, 50, 98, ?
Solution
Each term = previous × 2 − 2.
98 × 2 − 2 = 194.
Answer: (D) 194
Logical Reasoning and Data Interpretation · Series and patterns
Number Series: IPMAT practice questions
24 questions. Each is marked with the exam level it suits. Answer, then open the step-by-step solution.
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What comes next in the series: 10, 53, 14, 51, 18, 49, 22, ?
Solution
Two series alternate: 10, 14, 18, 22 (+4) and 53, 51, 49 (−2).
The next term continues the second: 49 − 2 = 47.
Answer: (D) 47
What comes next in the series: 18, 44, 24, 39, 30, 34, 36, ?
Solution
Two series alternate: 18, 24, 30, 36 (+6) and 44, 39, 34 (−5).
The next term continues the second: 34 − 5 = 29.
Answer: (B) 29
What comes next in the series: 67, 71, 73, 79, 83, 89, ?
Solution
Consecutive prime numbers.
The next one is 97.
Answer: (B) 97
What comes next in the series: 6, 18, 23, 69, 74, 222, ?
Solution
The operations alternate: × 3, + 5, × 3, + 5, …
Next: 222 × 3 = 227.
Answer: (C) 227
What comes next in the series: 4, 12, 14, 42, 44, 132, ?
Solution
The operations alternate: × 3, + 2, × 3, + 2, …
Next: 132 × 3 = 134.
Answer: (C) 134
What comes next in the series: 16, 25, 36, 49, 64, ?
Solution
The terms are squares: 4², 5², 6², 7², 8².
Next: 9² = 81.
Answer: (A) 81
Find the missing term: 6, ?, 24, 48, 96, 192
Solution
Each term is 2 times the previous one.
? = 6 × 2 = 12.
Answer: (A) 12
What comes next in the series: 3, 10, 13, 23, 36, 59, ?
Solution
Each term is the sum of the two before it.
36 + 59 = 95.
Answer: (A) 95
What comes next in the series: 15120, 15120, 7560, 2520, 630, ?
Solution
Divide by 1, 2, 3, 4, … in turn.
630 ÷ 5 = 126.
Answer: (C) 126
What comes next in the series: 2, 10, 12, 22, 34, 56, ?
Solution
Each term is the sum of the two before it.
34 + 56 = 90.
Answer: (C) 90
What comes next in the series: 4, 7, 20, 79, 394, ?
Solution
The multiplier grows: × 2, × 3, × 4, … (then − 1 each time).
Next = 394 × 6 − 1 = 2363.
Answer: (D) 2363
What comes next in the series: 720, 990, 1320, 1716, 2184, ?
Solution
The rule is n(n + 1)(n + 2) for n = 8, 9, 10, …: 8 → 720, 9 → 990, 10 → 1320.
For n = 13: 2730.
Answer: (D) 2730
Find the wrong number in the series: 6, 12, 24, 42, 66, 98, 132
Solution
The differences should be 6, 12, 18, 24, 30, 36 (increasing by 6).
So the term should be 96, not 98.
Answer: (A) 98
What comes next in the series: 9, 22, 48, 100, 204, ?
Solution
Each term = previous × 2 + 4.
204 × 2 + 4 = 412.
Answer: (A) 412
What comes next in the series: 60, 120, 210, 336, 504, ?
Solution
The rule is n³ − n for n = 4, 5, 6, …: 4 → 60, 5 → 120, 6 → 210.
For n = 9: 720.
Answer: (B) 720
What comes next in the series: 10, 14, 23, 39, 64, 100, ?
Solution
Differences are squares: 4, 9, 16, 25, 36.
Next = 100 + 49 = 149.
Answer: (D) 149
What comes next in the series: 6, 8, 12, 18, 26, 36, ?
Solution
Differences: 2, 4, 6, 8, 10, increasing by 2.
Next = 36 + 12 = 48.
Answer: (B) 48
What comes next in the series: 5, 10, 17, 26, 37, ?
Solution
The terms are squares +1: 2²+1, 3²+1, 4²+1, 5²+1, 6²+1.
Next: 7²+1 = 50.
Answer: (B) 50
What comes next in the series: 9, 15, 26, 42, 63, 89, ?
Solution
Differences: 6, 11, 16, 21, 26, increasing by 5.
Next = 89 + 31 = 120.
Answer: (B) 120
What comes next in the series: 2160, 2160, 1080, 360, 90, ?
Solution
Divide by 1, 2, 3, 4, … in turn.
90 ÷ 5 = 18.
Answer: (B) 18
What comes next in the series: 17, 33, 58, 94, 143, 207, ?
Solution
Differences are squares: 16, 25, 36, 49, 64.
Next = 207 + 81 = 288.
Answer: (C) 288
Find the missing term: 6, 12, 24, ?, 96, 192
Solution
Each term is 2 times the previous one.
? = 24 × 2 = 48.
Answer: (A) 48
Find the wrong number in the series: 17, 26, 44, 71, 105, 152, 206
Solution
The differences should be 9, 18, 27, 36, 45, 54 (increasing by 9).
So the term should be 107, not 105.
Answer: (B) 105
These are original practice questions written by Target Campus in the pattern, syllabus and difficulty of IPMAT Indore, IPMAT Rohtak, JIPMAT, NPAT and SET. They are not previous-year papers.