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Number socho waale trick, algebra se samjhiye

Short mein jawab

Number socho wala trick isliye chalta hai kyonki har step ko x jaise letter-number se likhne par shuru ka number kat jaata hai aur ek tay jawaab bachta hai. Date trick mein steps mahina M aur din D ko 100M + 165 + D bana dete hain, isliye 165 ghataane par date mil jaati hai.

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Hamesha 2 par rukne wala trick

Kisi dost se kahiye ki ek number sochein, use double karein, chaar jodein, nateeje ka aadha karein aur phir jo number pehle socha tha use ghataayein. Unhone kuch bhi socha ho, bataaya ja sakta hai ki unke paas 2 bacha hai. 7 se aazmaaiye: 14, 18, 9, aur 9 − 7 = 2. 50 se aazmaaiye: 100, 104, 52, aur 52 − 50 = 2. Zyada numbers aazmaane se bharosa badhta hai, par kitne bhi numbers aazmaa lein, har number tak nahi pahuncha ja sakta. Algebra wahaan tak pahunchta hai.

Steps ko letter-number se likhna

Maan lijiye number x hai. Double karne par 2x, chaar jodne par 2x + 4, aadha karne par x + 2, aur shuru ka number ghataane par x + 2 − x = 2 bachta hai. Akshar x gaayab ho gaya. Number pehle double hua, phir aadha hokar waapas wahi bana, aur aakhir mein hata diya gaya; bacha sirf 4, jo aadha hokar 2 ban gaya. Isliye har shuruaati number, bhinn bhi, 2 par hi khatm hota hai.

Jawaab hamesha 2 kyon: 7 aur x ke saath trick ke steps
Jawaab hamesha 2 kyon aata hai

Jawaab badalna

Aakhri jawaab 3 chahiye to 4 ki jagah 6 jodiye: 2x + 6 ka aadha x + 3 hai, aur x hataane par 3 bachta hai. 5 chahiye to 10 jodiye. Aam taur par 2k jodne par trick k par khatm hota hai. Lambe trick bhi aise hi chalte hain, bas aakhir mein shuru ka number kat jaana chahiye. Jaise: x sochiye, 3 jodkar x + 3 banaaiye, 4 se guna karke 4x + 12, 8 ghataakar 4x + 4, 4 se bhaag dekar x + 1, aur x hata dijiye. Jawaab hamesha 1 aata hai.

Date pakadna

Isi tarah ka trick date bhi bata sakta hai. Kisi se kahiye ki ek date sochein, mahine ko 5 se guna karein, 6 jodein, 4 se guna karein, 9 jodein, 5 se guna karein, din jodein aur nateeja batayein. Mahine ko M aur din ko D kahiye:

  • 5M, phir 5M + 6
  • 4 × (5M + 6) = 20M + 24, phir 20M + 33
  • 5 × (20M + 33) = 100M + 165, phir 100M + 165 + D

Yaani jawaab hamesha 100M + 165 + D hota hai. 165 ghataaiye to 100M + D bachta hai. Din kabhi 31 se zyada nahi hota, isliye use sirf do ank chahiye: aakhri do ank din hain aur unke aage ke ank mahina. Jawaab 980 ho to 980 − 165 = 815, yaani mahina 8 aur din 15: Swatantrata Diwas, 15 August.

Date pakadne ka trick: har step M aur D se, aur 15 August ki misaal
Date pakadne ka trick

165 kahaan se aata hai?

165 un numbers se banta hai jo raaste mein jode gaye. 6 pehle 4 se aur phir 5 se guna hota hai, jisse 120 banta hai, aur 9 ko 5 se guna karne par 45; dono milkar 165. Ye jodne waale number badaliye to chhupa number bhi badal jaata hai. 6 ki jagah 3 aur 9 ki jagah 7 jodne par wo 3 × 4 × 5 + 7 × 5 = 60 + 35 = 95 ho jaata hai, aur tab 165 ki jagah 95 ghataaya jaata hai. 5, 4 aur 5 se guna wale steps rehne chahiye, kyonki ye milkar mahine ko 100 se guna karte hain aur use din ke liye rakhi do jagahon se aage le jaate hain.

Apna trick banaaiye

  1. Ek letter-number, x, se shuru kijiye.
  2. x ko badalne waale steps, jaise guna ya bhaag, aur tay number jodne ya ghataane waale steps milaaiye.
  3. Aakhir mein x ke saath jo hua use ulta kijiye, waapas bhaag dekar ya x ghataakar, taaki sirf ek tay number bache.
  4. Algebra jaanch lijiye, phir doston par kuch alag numbers ke saath trick aazmaaiye.

Aise trick dikhate hain ki algebra kyon zaroori hai: letter-number wali ek line wo saabit kar deti hai jo kitni bhi aazmaaish nahi kar sakti.

Aur padhein: number pyramid aur grid, divisibility ke trick aur sabse bada guna, chapter ke notes aur NCERT solutions.

Practice karo

  1. x sochiye, 3 se guna kijiye, 9 jodiye, 3 se bhaag dijiye aur x ghataaiye. Jawaab hai:

    1. (a) 3
    2. (b) 9
    3. (c) x + 3
    4. (d) 0
    Jawab dekho

    Jawab: (a) 3

  2. Date trick ka jawaab 1167 aata hai. Date hai:

    1. (a) 2 October
    2. (b) 11 June
    3. (c) 16 July
    4. (d) 7 November
    Jawab dekho

    Jawab: (a) 2 October

  3. ‘Double, jodo, aadha, ghataao’ mein kya jodein ki jawaab hamesha 7 aaye?

    1. (a) 7
    2. (b) 11
    3. (c) 14
    4. (d) 28
    Jawab dekho

    Jawab: (c) 14

  4. Date trick mein din aur mahina kabhi aapas mein kyon nahi milte?

    Jawab dekho

    Jawab: Steps 100M + 165 + D dete hain. 165 ghataane ke baad din D zyada se zyada 31 hota hai, isliye wo sirf aakhri do ank leta hai, aur mahina unke aage ki jagahon par baithta hai.

  5. Aisa trick banaaiye jo hamesha 1 par khatm ho.

    Jawab dekho

    Jawab: Jaise: x sochiye, 3 jodiye (x + 3), 4 se guna kijiye (4x + 12), 8 ghataaiye (4x + 4), 4 se bhaag dijiye (x + 1) aur x ghataaiye. Har shuruaati number ke liye jawaab 1 aata hai.

Students ke sawal

Number socho wala trick kaise chalta hai?

Uske steps aise chune jaate hain ki x se likhne par shuru ka number kat jaaye. x kuch bhi ho, expression ek hi number ban jaata hai, jo trick karne wale ko pehle se pata hota hai.

Trick ka jawaab kaise badlein?

Jo number jodte hain use badaliye. ‘Double, jodo, aadha, ghataao’ mein 2k jodne par jawaab k aata hai: 3 ke liye 6 jodiye, aur 5 ke liye 10.

Date trick mein 165 kyon ghataate hain?

Kyonki steps 100 × mahina + din ke upar 165 jod dete hain: 6 ko 4 aur 5 se guna karne par 120 aur 9 ko 5 se guna karne par 45 milta hai. 165 hataane par 100M + D bachta hai, jo mahina aur din dikhata hai.

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