Number Reversal Trick : āϏāĻ‚āĻ–ā§āϝāĻž āωāĻ˛ā§āĻŸā§‹ā§ąāĻž āĻŸā§ā§°āĻŋāĻ•






The Rule / āύāĻŋāϝāĻŧāĻŽ: Reverse a 2-digit number and subtract. (āĻāϟāĻž ⧍ āĻ…āĻ‚āϕ⧰ āϏāĻ‚āĻ–ā§āϝāĻž āωāĻ˛ā§āϟāĻžāχ āĻŦāĻŋāϝāĻŧā§‹āĻ— āϕ⧰āĻ•āĨ¤)


Magic Result / āϜāĻžāĻĻ⧁āϕ⧰⧀ āĻĢāϞāĻžāĻĢāϞ


The answer is always a multiple of 9. (āωāĻ¤ā§āϤ⧰ āϏāĻĻāĻžāϝāĻŧ ⧝ ā§° āϗ⧁āĻŖāĻŋāϤāĻ• āĻšāϝāĻŧāĨ¤)


How It Works / āϕ⧇āύ⧇āĻ•ā§ˆ āĻ•āĻžāĻŽ āϕ⧰⧇

  1. Take any 2-digit number. (āϝāĻŋāϕ⧋āύ⧋ ⧍ āĻ…āĻ‚āϕ⧰ āϏāĻ‚āĻ–ā§āϝāĻž āϞāĻ“āĻ•āĨ¤)

  2. Reverse the digits. (āĻ…āĻ‚āĻ•āĻŦā§‹ā§° āωāĻ˛ā§āϟāĻžāχ āĻĻāĻŋāϝāĻŧāĻ•āĨ¤)

  3. Subtract the smaller from the larger. (āĻĄāĻžāϙ⧰ āϏāĻ‚āĻ–ā§āϝāĻžā§° āĻĒā§°āĻž āϏ⧰⧁ āϏāĻ‚āĻ–ā§āϝāĻžāĻŸā§‹ āĻŦāĻŋāϝāĻŧā§‹āĻ— āϕ⧰āĻ•āĨ¤)


Examples / āωāĻĻāĻžāĻšā§°āĻŖ

  • 52 → 25, 52 − 25 = 27, 27 is a multiple of 9. (27 āĻšā§ˆāϛ⧇ ⧝ ā§° āϗ⧁āĻŖāĻŋāϤāĻ•āĨ¤)

  • 81 → 18, 81 − 18 = 63, 63 is a multiple of 9. (63 āĻšā§ˆāϛ⧇ ⧝ ā§° āϗ⧁āĻŖāĻŋāϤāĻ•āĨ¤)

  • 73 → 37, 73 − 37 = 36, 36 is a multiple of 9. (36 āĻšā§ˆāϛ⧇ ⧝ ā§° āϗ⧁āĻŖāĻŋāϤāĻ•āĨ¤)

  • 94 → 49, 94 − 49 = 45, 45 is a multiple of 9. (45 āĻšā§ˆāϛ⧇ ⧝ ā§° āϗ⧁āĻŖāĻŋāϤāĻ•āĨ¤)


Key Idea / āĻŽā§‚āϞ āϧāĻžā§°āĻŖāĻž: Reversing digits creates a hidden 9-pattern. (āĻ…āĻ‚āĻ• āωāĻ˛ā§āϟāĻžāϞ⧇ āĻāϟāĻž āϞ⧁āĻ•āĻžāχ āĻĨāĻ•āĻž ⧝-ā§° pattern āϏ⧃āĻˇā§āϟāĻŋ āĻšāϝāĻŧāĨ¤)


52 − 25 = 27, 81 − 18 = 63, 73 − 37 = 36, 94 − 49 = 45




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MCQ


1. What happens in the number reversal trick ? / Number reversal trick āϤ āĻ•āĻŋ āϕ⧰āĻž āĻšāϝāĻŧ ?
A. Numbers are added / āϏāĻ‚āĻ–ā§āϝāĻž āϝ⧋āĻ— āϕ⧰āĻž āĻšāϝāĻŧ
B. Numbers are multiplied / āϏāĻ‚āĻ–ā§āϝāĻž āϗ⧁āĻŖ āϕ⧰āĻž āĻšāϝāĻŧ
C. Digits are reversed and subtracted / āĻ…āĻ‚āĻ• āωāĻ˛ā§āϟāĻžāχ āĻŦāĻŋāϝāĻŧā§‹āĻ— āϕ⧰āĻž āĻšāϝāĻŧ
D. Numbers are divided / āϏāĻ‚āĻ–ā§āϝāĻž āĻ­āĻžāĻ— āϕ⧰āĻž āĻšāϝāĻŧ


Ans / āωāĻ¤ā§āϤ⧰: C. Digits are reversed and subtracted / āĻ…āĻ‚āĻ• āωāĻ˛ā§āϟāĻžāχ āĻŦāĻŋāϝāĻŧā§‹āĻ— āϕ⧰āĻž āĻšāϝāĻŧ


2. What is the result always a multiple of ? / āĻĢāϞāĻžāĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āĻ•āĻŋāĻšā§° āϗ⧁āĻŖāĻŋāϤāĻ• āĻšāϝāĻŧ ?
A. 5   B. 7   C. 8   D. 9


Ans / āωāĻ¤ā§āϤ⧰: D. 9


3. Reverse of 52 is — / 52 ā§° āωāĻ˛ā§āϟāĻž āϏāĻ‚āĻ–ā§āϝāĻž āĻšā§ˆāϛ⧇ —
A. 15  B. 25  C. 72  D. 35


Ans / āωāĻ¤ā§āϤ⧰: B. 25


4. 81 − 18 = ?
A. 54  B. 63   C. 72   D. 45


Ans / āωāĻ¤ā§āϤ⧰: B. 63


5. Reverse of 73 is - / 73 ā§° āωāĻ˛ā§āϟāĻž āϏāĻ‚āĻ–ā§āϝāĻž āĻšā§ˆāϛ⧇ -
A. 37   B. 27   C. 47   D. 17












Ans / āωāĻ¤ā§āϤ⧰: A. 37

 

6. 94 − 49 = ?
A. 36   B. 45   C. 27   D. 18


Ans / āωāĻ¤ā§āϤ⧰: B. 45


7. Which number is a multiple of 9 ? / āϕ⧋āύāĻŸā§‹ āϏāĻ‚āĻ–ā§āϝāĻž ⧝ ā§° āϗ⧁āĻŖāĻŋāϤāĻ• ?
A. 25   B. 34   C. 45   D. 52

Ans / āωāĻ¤ā§āϤ⧰: C. 45


8. What is formed after reversing digits ? / āĻ…āĻ‚āĻ• āωāĻ˛ā§āĻŸā§‹ā§ąāĻžā§° āĻĒāĻŋāĻ›āϤ āĻ•āĻŋ āϏ⧃āĻˇā§āϟāĻŋ āĻšāϝāĻŧ ?
A. 5-pattern   B. 7-pattern   C. 8-pattern   D. 9-pattern

Ans / āωāĻ¤ā§āϤ⧰: D. 9-pattern


9. 73 − 37 = ?
A. 27  B. 45   C. 36   D. 54

Ans / āωāĻ¤ā§āϤ⧰: C. 36


10. Which operation is used in this trick ? / āĻāχ āĻŸā§ā§°āĻŋāĻ•āϤ āϕ⧋āύāĻŸā§‹ āĻ•ā§āϰāĻŋāϝāĻŧāĻž āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āϕ⧰āĻž āĻšāϝāĻŧ ?
A. Addition / āϝ⧋āĻ—  B. Multiplication / āϗ⧁āĻŖ   C. Division / āĻ­āĻžāĻ—  D. Subtraction / āĻŦāĻŋāϝāĻŧā§‹āĻ—

Ans / āωāĻ¤ā§āϤ⧰: D. Subtraction / āĻŦāĻŋāϝāĻŧā§‹āĻ—