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Palindromes aur Kaprekar ka jaadui number

Class 6 Maths · Chapter 3: Number Play · NCERT Ganita Prakash section 3.5–3.6

Seekho

Kuch numbers aage se padho ya peeche se, same rehte hain, jaise 44, 707, 383 aur 2112. Aise numbers ko palindromes kehte hain.

Ulta karke jodo: 2-digit number lo, use uske ulte se jodo, aur palindrome milne tak karte raho. 57 + 75 = 132, phir 132 + 231 = 363.

Kaprekar ke steps: koi 4-digit number lo. Uske digits se sabse bada number A aur sabse chhota number B banao, phir A − B nikaalo. Answer ke saath dohraao. (Bharat ke maths teacher D. R. Kaprekar ne dhoondha ki kya hota hai.)

5432 − 2345 = 3087

Koi bhi 4-digit number try karo (saare digits same na hon). Hamesha 6174 aata hai, Kaprekar constant!

Yaad rakho

  • Palindrome dono taraf ek jaisa padha jaata hai: 575, 1221.
  • Kaprekar: digits se sabse bada − sabse chhota, dohraao: 4-digit numbers hamesha 6174 tak pahunchte hain.

Quick check

Inme se kaunsa number palindrome hai?

  1. 1231
  2. 4554
  3. 4545
  4. 1223
Answer

4554. 4554 ulta bhi 4554 hai.

Socho

Paheli: main 4-digit palindrome hoon. Mera pehla digit 2 hai aur saare digits ka jod 10 hai. Main kaun hoon?

Ek answer

4-digit palindrome 2 _ _ 2 jaisa hota hai, beech ke dono digits same. 2 + 2 = 4, to beech ke digits ka jod 6: 3 aur 3. Main 2332 hoon.

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.