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Chhupe Hue Ank

Class 7 Maths · Chapter 6: Number Play · NCERT Ganita Prakash section 6.5

Seekho

Cryptarithm mein akshar ankon ki jagah hote hain (har akshar ek ank). T + T + T = UT: teen T ek 2-ank number banaate hain jiska ant T. Aazmaao: 3 × 2 = 6, 3 × 4 = 12 … sirf 3 × 5 = 15 ka ant 5. To T = 5 aur U = 1.

5 + 5 + 5 = 15

K2 + K2 = HMM. Ikaai: 2 + 2 = 4, to M = 4. Ab dahaai bhi 4 de aur saikde mein haasil: K + K = 14, to K = 7: 72 + 72 = 144, aur H = 1. Ikaai stambh se shuru karo aur jo seekho use use karo.

72 + 72 = 144

Parity bhi madad karti hai. Bulb ON hai aur switch 77 baar dabaaya: har do baar wapas wahi, aur 77 odd, to ant mein OFF. Kitaab ke 50 khule panne (har ek par ek odd aur ek even page) ka page-jod even, kyunki 50 odd jod milkar even.

Pehla ank: YY + Z = ZOO. 2-ank + 1-ank zyaada se zyaada 99 + 9 = 108, to 3-ank jawaab 1 se shuru: Z = 1. Phir YY + 1 = 1OO matlab YY = 99 aur O = 0. Ishaan ki salah: naye sthaan mein haasil hamesha 1 hota hai.

99 + 1 = 100

Explore: code todo.

  1. T + T + T = UT. Ank T set karo.
  2. K2 + K2 = HMM. Ank K set karo.
  3. A + A = 1B aur B = 6. A set karo.

Yaad rakho

  • Cryptarithm mein ikaai stambh se shuru karo aur haasil ka dhyaan rakho.
  • Naye sthaan mein haasil hamesha 1; parity jawaab jaldi hata deti hai.

Quick check

P7 + 2Q = 81 mein P + Q kya hai? (P aur Q ank hain.)

  1. 9
  2. 8
  3. 10
  4. 11
Answer

9. Ikaai: 7 + Q ka ant 1, to Q = 4 aur haasil. Dahaai: P + 2 + 1 = 8, to P = 5. P + Q = 9.

Socho

UT + TA = TAT hal karo.

Ek answer

Do 2-ank numbers ka jod zyaada se zyaada 198, to T = 1. Phir U1 + 1A = 1A1: ikaai 1 + A ka ant 1, to A = 0. Phir U1 + 10 = 101 se U = 9: 91 + 10 = 101.

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.