Number Series Tricks

πŸ”’ Number Series – 60-Second Revision
TypeSignatureQuick CheckExampleMissing Term
ArithmeticConstant diffΞ” = same3, 7, 11, 15…19
GeometricConstant ratioΓ· = same5, 10, 20, 40…80
PrimeOnly Γ·1 & itself2-3-5-7-11…4, 9, 25, 49…121 (11Β²)
SquarenΒ²Last digit 0,1,4,5,6,91, 4, 9, 16…25
CubenΒ³Last digit same as base1, 8, 27, 64…125
FibonacciTβ‚™=Tₙ₋₁+Tβ‚™β‚‹β‚‚1,1,2,3,5…2, 3, 5, 8…13
AlternatingTwo AP/GP mixedOdd-even split2, 5, 4, 7, 6…9
Digit-opSum/product of digits18β†’1Γ—8=8, 27β†’2Γ—7=1412, 24, 36…48
🧠 Mnemonics
  • AP: β€œAdd-P” (Add Plus) β†’ same difference
  • GP: β€œGo-Product” β†’ same multiply
  • Prime: β€œ2-3-5-7-11” β†’ count on fingers
  • Squares 1-20: β€œ1-4-9-16-25-36-49-64-81-100-121-144-169-196-225-256-289-324-361-400” (rhyme in 5-sec)
  • Cubes 1-10: β€œ1-8-27-64-125-216-343-512-729-1000” β†’ say β€œ1-8-27” like a phone number
⚑ Rapid-Fire MCQs
Question 1: 4, 9, 16, 25, ?Answer: 36
Question 2: 5, 10, 20, 40, ?Answer: 80
Question 3: 3, 5, 9, 17, 33, ?Answer: 65
Question 4: 2, 5, 10, 17, 26, ?Answer: 37
Question 5: 1, 1, 2, 3, 5, 8, ?Answer: 13
Question 6: 121, 112, 103, 94, ?Answer: 85
Question 7: 8, 27, 64, 125, ?Answer: 216
Question 8: 7, 14, 17, 34, 37, ?Answer: 74
Question 9: 18, 27, 36, 45, ?Answer: 54
Question 10: 2, 3, 5, 7, 11, ?Answer: 13
🎯 Exam Hack
  • Spot last digit first β†’ eliminates 3 options in 3s.
  • If diff/ratio fails in 2 steps β†’ switch to alternate or digit pattern.
  • 90% railway series use AP, GP, Square, Prime β†’ attempt these first.