This lesson shows how to find the rule, then gives each pattern with the reason it works. It solves five examples step by step and lists the traps that cost marks.
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Q1. Find the next number in the series: 6, 12, 24, 48, 96, ?
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Answer: C
Each term in this series equals the previous term times 2. Check this rule against the given terms: 6×2=12, 12×2=24, 24×2=48, 48×2=96. The rule holds throughout the series. Apply it once more: 96×2=192. So the next term is 192.
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Q2. Find the next number in the series: 2, 8, 32, 128, 512, ?
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Answer: B
Each term in this series equals the previous term times 4. Check this rule against the given terms: 2×4=8, 8×4=32, 32×4=128, 128×4=512. The rule holds throughout the series. Apply it once more: 512×4=2048. So the next term is 2048.
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Q3. Find the next number in the series: 5, 11, 17, 23, 29, 35, ?
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Answer: C
Each term in this series equals the previous term plus 6. Check this rule against the given terms: 5+6=11, 11+6=17, 17+6=23, 23+6=29, 29+6=35. The rule holds throughout the series. Apply it once more: 35+6=41. So the next term is 41.
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Q4. Find the next number in the series: 3, 10, 17, 24, 31, 38, ?
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Answer: A
Each term in this series equals the previous term plus 7. Check this rule against the given terms: 3+7=10, 10+7=17, 17+7=24, 24+7=31, 31+7=38. The rule holds throughout the series. Apply it once more: 38+7=45. So the next term is 45.
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Q5. Find the next number in the series: 37, 44, 51, 58, 65, 72, ?
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Answer: D
Each term in this series equals the previous term plus 7. Check this rule against the given terms: 37+7=44, 44+7=51, 51+7=58, 58+7=65, 65+7=72. The rule holds throughout the series. Apply it once more: 72+7=79. So the next term is 79.
Related topics: Odd Man Out and Series: Formulas, Shortcuts and Solved Examples
Q6. Find the next number in the series: 34, 44, 54, 64, 74, 84, ?
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Answer: B
Each term in this series equals the previous term plus 10. Check this rule against the given terms: 34+10=44, 44+10=54, 54+10=64, 64+10=74, 74+10=84. The rule holds throughout the series. Apply it once more: 84+10=94. So the next term is 94.
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Q7. Find the next number in the series: 27, 39, 51, 63, 75, 87, ?
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Answer: B
Each term in this series equals the previous term plus 12. Check this rule against the given terms: 27+12=39, 39+12=51, 51+12=63, 63+12=75, 75+12=87. The rule holds throughout the series. Apply it once more: 87+12=99. So the next term is 99.
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Q8. Find the next number in the series: 38, 46, 54, 62, 70, 78, ?
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Answer: A
Each term in this series equals the previous term plus 8. Check this rule against the given terms: 38+8=46, 46+8=54, 54+8=62, 62+8=70, 70+8=78. The rule holds throughout the series. Apply it once more: 78+8=86. So the next term is 86.
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Q9. Find the next number in the series: 23, 28, 33, 38, 43, 48, ?
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Answer: D
Each term in this series equals the previous term plus 5. Check this rule against the given terms: 23+5=28, 28+5=33, 33+5=38, 38+5=43, 43+5=48. The rule holds throughout the series. Apply it once more: 48+5=53. So the next term is 53.
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Q10. Find the next number in the series: 7, 16, 25, 34, 43, 52, ?
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Answer: C
Each term in this series equals the previous term plus 9. Check this rule against the given terms: 7+9=16, 16+9=25, 25+9=34, 34+9=43, 43+9=52. The rule holds throughout the series. Apply it once more: 52+9=61. So the next term is 61.
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Q11. Find the next number in the series: 7, 19, 31, 43, 55, 67, ?
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Answer: D
Each term in this series equals the previous term plus 12. Check this rule against the given terms: 7+12=19, 19+12=31, 31+12=43, 43+12=55, 55+12=67. The rule holds throughout the series. Apply it once more: 67+12=79. So the next term is 79.
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Q12. Find the next number in the series: 14, 20, 26, 32, 38, 44, ?
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Answer: A
Each term in this series equals the previous term plus 6. Check this rule against the given terms: 14+6=20, 20+6=26, 26+6=32, 32+6=38, 38+6=44. The rule holds throughout the series. Apply it once more: 44+6=50. So the next term is 50.
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Q13. Find the odd man out: 137, 139, 149, 151, 154, 157
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Answer: C
The shared pattern here is prime numbers. Check each number: 137 is prime, 139 is prime, 149 is prime, 151 is prime, 154=2×77 (not prime), 157 is prime. Every number except 154 is prime. So 154 is the odd one out.
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Q14. Find the odd man out: 149, 151, 157, 150, 167, 173
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Answer: B
The shared pattern here is prime numbers. Check each number: 149 is prime, 151 is prime, 157 is prime, 150=2×75 (not prime), 167 is prime, 173 is prime. Every number except 150 is prime. So 150 is the odd one out.
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Q15. Find the odd man out: 131, 134, 137, 139, 149, 151
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Answer: B
The shared pattern here is prime numbers. Check each number: 131 is prime, 134=2×67 (not prime), 137 is prime, 139 is prime, 149 is prime, 151 is prime. Every number except 134 is prime. So 134 is the odd one out.
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Q16. Find the odd man out: 151, 157, 161, 163, 167, 173
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Answer: C
The shared pattern here is prime numbers. Check each number: 151 is prime, 157 is prime, 161=7×23 (not prime), 163 is prime, 167 is prime, 173 is prime. Every number except 161 is prime. So 161 is the odd one out.
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Q17. Find the odd man out: 167, 173, 189, 181, 191, 193
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Answer: D
The shared pattern here is prime numbers. Check each number: 167 is prime, 173 is prime, 189=3×63 (not prime), 181 is prime, 191 is prime, 193 is prime. Every number except 189 is prime. So 189 is the odd one out.
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Q18. Find the odd man out: 137, 139, 149, 151, 157, 160
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Answer: A
The shared pattern here is prime numbers. Check each number: 137 is prime, 139 is prime, 149 is prime, 151 is prime, 157 is prime, 160=2×80 (not prime). Every number except 160 is prime. So 160 is the odd one out.
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Q19. Find the odd man out: 157, 163, 170, 173, 179, 181
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Answer: D
The shared pattern here is prime numbers. Check each number: 157 is prime, 163 is prime, 170=2×85 (not prime), 173 is prime, 179 is prime, 181 is prime. Every number except 170 is prime. So 170 is the odd one out.
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Q20. Find the odd man out: 139, 142, 149, 157, 163, 167
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Answer: A
The shared pattern here is prime numbers. Check each number: 139 is prime, 142=2×71 (not prime), 149 is prime, 157 is prime, 163 is prime, 167 is prime. Every number except 142 is prime. So 142 is the odd one out.
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Q21. Find the odd man out: 53, 59, 57, 67, 71, 73
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Answer: C
The shared pattern here is prime numbers. Check each number: 53 is prime, 59 is prime, 57=3×19 (not prime), 67 is prime, 71 is prime, 73 is prime. Every number except 57 is prime. So 57 is the odd one out.
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Q22. Find the odd man out: 151, 157, 163, 167, 172, 173
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Answer: B
The shared pattern here is prime numbers. Check each number: 151 is prime, 157 is prime, 163 is prime, 167 is prime, 172=2×86 (not prime), 173 is prime. Every number except 172 is prime. So 172 is the odd one out.
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Q23. Find the odd man out: 8, 27, 64, 125, 216, 346
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Answer: D
The shared pattern here is perfect cubes. Check each number: 8=2^3 (perfect cube), 27=3^3 (perfect cube), 64=4^3 (perfect cube), 125=5^3 (perfect cube), 216=6^3 (perfect cube), 346 is not a perfect cube (7^3=343, 8^3=512). Every number except 346 is a perfect cube. So 346 is the odd one out.
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Q24. Find the odd man out: 8, 29, 64, 125, 216, 343
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Answer: A
The shared pattern here is perfect cubes. Check each number: 8=2^3 (perfect cube), 29 is not a perfect cube (3^3=27, 4^3=64), 64=4^3 (perfect cube), 125=5^3 (perfect cube), 216=6^3 (perfect cube), 343=7^3 (perfect cube). Every number except 29 is a perfect cube. So 29 is the odd one out.
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Q25. Find the odd man out: 125, 216, 343, 512, 728, 1000
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Answer: C
The shared pattern here is perfect cubes. Check each number: 125=5^3 (perfect cube), 216=6^3 (perfect cube), 343=7^3 (perfect cube), 512=8^3 (perfect cube), 728 is not a perfect cube (8^3=512, 9^3=729), 1000=10^3 (perfect cube). Every number except 728 is a perfect cube. So 728 is the odd one out.
Related topics: Odd Man Out and Series: Formulas, Shortcuts and Solved Examples