Number Series Tricks

πŸ”’ Number Series – 60-Second Revision

Type Signature Quick Check Example Missing Term
Arithmetic Constant diff Ξ” = same 3, 7, 11, 15… 19
Geometric Constant ratio Γ· = same 5, 10, 20, 40… 80
Prime Only Γ·1 & itself 2-3-5-7-11… 4, 9, 25, 49… 121 (11Β²)
Square nΒ² Last digit 0,1,4,5,6,9 1, 4, 9, 16… 25
Cube nΒ³ Last digit same as base 1, 8, 27, 64… 125
Fibonacci Tβ‚™=Tₙ₋₁+Tβ‚™β‚‹β‚‚ 1,1,2,3,5… 2, 3, 5, 8… 13
Alternating Two AP/GP mixed Odd-even split 2, 5, 4, 7, 6… 9
Digit-op Sum/product of digits 18β†’1Γ—8=8, 27β†’2Γ—7=14 12, 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.