5 ka pahaada lamba lagta hai? 46 × 5 jaise sawaal mann mein sirf do step mein: number ke peeche 0 lagao (yaani × 10), phir aadha karo. Is post mein pehle “aadha karna” bilkul shuru se seekhenge (bade aur taaq numbers ka bhi), phir trick, phir chitra se samjhenge ki yeh kyun chalti hai. Chaliye, Chapter 5 shuru!
⏱ Before Timer: Pehle Purane Tareeke Se
Pehle school wala tareeka (column method) yaad kar lein. Guna (×) matlab baar-baar jodna: 46 × 5 matlab 46 ko 5 baar jodo. Column mein number ke neeche 5 likhte hain aur right se (ikai se) shuru karte hain. Poora GUNA box neeche “Pehle Yeh Aata Hai” mein hai.
- Ikai: 5 × 6 matlab 6 ko 5 baar jodo: 6, 12, 18, 24, 30. To 5 × 6 = 30. 30 = 3 dahai + 0 ikai. Neeche ikai mein 0 likho, aur 3 ko carry (aage le jaana) karke dahai wale digit 4 ke upar chhota likho.
- Dahai: 5 × 4 = 20 (4 ko 5 baar: 4, 8, 12, 16, 20). Isme upar likha carry 3 jodo: 20 + 3 = 23. Neeche 23 likho (3 dahai mein, 2 saikde mein).
- Jawab: 230.
Ab phone ya ghadi mein stopwatch (samay naapne wali ghadi) chalu kijiye. Neeche wala sawaal isi school wale tareeke (column method) se kijiye, copy-pencil ke saath. Column method na aata ho to ungliyon pe gin kar bhi kar sakte hain. Jaise hi jawab mil jaaye, stopwatch rok dijiye aur apna time likh lijiye.
Mera time: ______ second
Jawab dekho
46 × 5 = 230
Abhi trick nahi dekhni! Post ke end mein After Timer mein yahi sawaal trick se karenge aur dono time ki tulna karenge. 😊
— 📌 charumam.com
✅ Pehle Yeh Aata Hai
Aaj ki trick do chhote kaamon pe tiki hai: 10 se guna (peeche 0 lagana) aur aadha karna. Dono neeche ke boxes mein shuru se, examples ke saath samjhaaye hain. Guna ka matlab GUNA box mein hai. Pehle naye shabd:
📖 Shabd jo is post mein aayenge
- Guna (×): ek number ko baar-baar jodna. 46 × 5 matlab 46 ko 5 baar jodo. Jagah badlo to jawab wahi: 46 × 5 aur 5 × 46 same (GUNA box ke dots).
- × 10 (10 se guna): poore number ke peeche (right mein) ek 0 lagana: 46 × 10 = 460. Har digit ek jagah left khisak jaata hai.
- Aadha (half): kisi cheez ke do barabar hisse karke ek hissa lena. 10 ka aadha 5, kyunki 5 + 5 = 10.
- ÷ (bhaag ka nishaan): barabar hisson mein baantna. ÷ 2 matlab “2 barabar hisse”, yaani aadha. 10 ÷ 2 = 5.
- Juft (even) number: jo 2 barabar hisson mein bina kuch bache bant jaaye. Aakhri digit 0, 2, 4, 6 ya 8 (jaise 46, 120).
- Taaq (odd) number: jo 2 barabar hisson mein poora na bante, 1 bach jaaye. Aakhri digit 1, 3, 5, 7 ya 9 (jaise 47).
- Saadhe / .5: “aadha aur”. 23.5 padho “saadhe teis” = 23 aur ek aadha. Taaq number ka aadha aisa aata hai; aaj ki trick isse bachati hai.
- Check (ulta jod): aadha sahi hai ya nahi: aadha + aadha = poora number. Jaise 230 + 230 = 460.
📏 Bade numbers padhna aur round number mein jodna
Har digit ki ek jagah (place) hoti hai. Right se gino: pehli jagah Ikai (ones, 1 wale), uske left mein Dahai (tens, 10 wale), phir Saikda (hundreds, 100 wale), phir Hazaar (thousands, 1000 wale).
10 ka bundle: 10 ikai = 1 dahai (10). 10 dahai = 1 saikda (100). 10 saikde = 1 hazaar (1000). Har jagah apne right wali jagah se 10 guna badi hai.
| Number | Kaise padhein | Kis cheez se bana |
|---|---|---|
| 98 | attaanve | 9 dahai (90) + 8 ikai |
| 165 | ek sau painsath | 1 saikda (100) + 6 dahai (60) + 5 ikai |
| 999 | nau sau ninyaanve | 9 saikde (900) + 9 dahai (90) + 9 ikai |
| 1011 | ek hazaar gyaarah | 1 hazaar (1000) + 0 saikda + 1 dahai (10) + 1 ikai |
Round number mein chhota number jodna (place box niyam): chhote number ko right se likho, yaani ikai ke neeche ikai, dahai ke neeche dahai. Phir har dabbe mein jo hai, woh jawab mein utaar do. Ek digit wala number sirf ikai ka zero badalta hai, do digit wala ikai aur dahai dono.
- 100 + 65: 65 mein do digit, to 6 dahai mein aur 5 ikai mein: 1|6|5 = 165.
- 100 + 2: 2 sirf ikai mein, dahai ka 0 waise hi rehta hai: 1|0|2 = 102 (12 nahi, 120 nahi!).
- 200 + 6: 6 sirf ikai mein: 2|0|6 = 206.
- 1000 + 11: 11 mein do digit, to 1 dahai mein aur 1 ikai mein: 1|0|1|1 = 1011.
✖️ Guna kya hai? (Multiplication)
Guna (nishaan ×) matlab ek hi number ko baar-baar jodna. “6 × 4” ko bolte hain “6 guna 4”, matlab 4 ko 6 baar jodo:
6 × 4 = 4 + 4 + 4 + 4 + 4 + 4 = 24
Isi tarah 6 × 7 matlab 7 ko 6 baar jodo. Running total (har baar ka naya jod) dekho: 7, 14, 21, 28, 35, 42. To 6 × 7 = 42.
10 dahai = 1 saikda: 10 dande (har danda 10) milkar 100 bante hain, yaani 1 saikda. Isliye 24 dahai = 20 dahai + 4 dahai = 2 saikde + 4 dahai = 240. (Aur 10 saikde milkar 1 hazaar, yaani 1000, bante hain.)
Tukdon mein guna kyun kar sakte hain? 47 = 4 dande (40) + 7 cube (7). 47 ko 6 baar lena matlab neeche jaisi 6 line. Dande alag gin lo, cube alag gin lo, kul utna hi rahega:
6 × 47: 6 baar 40 = 240, 6 baar 7 = 42, kul 240 + 42 = 282
Guna mein carry 1 se bada ho sakta hai: jod mein carry aksar 1 hota hai, par guna mein bada bhi aa sakta hai. Column mein 6 × 7 = 42 aaya, yaani 4 dahai aur 2 ikai. To ikai mein 2 likho aur 4 dahai carry karo (aage le jao). Phir dahai mein 6 × 4 = 24, usme carry ke 4 jodo: 24 + 4 = 28. Jawab 282.
Guna mein jagah badlo, jawab wahi: 16 × 4 aur 4 × 16 ek hi cheez hain. Neeche dots dekho: 4 line, har line mein 16 dots. Line se gino to 4 baar 16; khade column se gino to 16 baar 4. Dots wahi hain, to jawab bhi wahi: 64. Isliye jo aasaan lage, us tarah jodo.
Copy pe column mein (28 + 15 jaisa):
- Ikai: 6 × 7 = 42. Neeche ikai mein 2 likho. 42 ke 4 dahai carry hain: chhota 4 dahai wale digit (4) ke upar likho.
- Dahai: 6 × 4 = 24, usme upar likha carry 4 jodo: 24 + 4 = 28. Neeche 28 likho (8 dahai mein, 2 saikde mein).
- Jawab: 282.
10 se guna: 3 × 10 matlab 10 ko 3 baar jodna: 10 + 10 + 10 = 30. Kisi number ko 10 se guna karo to woh har digit ek jagah left khisak jaata hai aur ikai mein 0 aa jaata hai: 3 → 30, 30 → 300.
🔟 10 se guna = peeche ek 0 lagao
GUNA box mein dekha: 3 × 10 matlab 10 ko 3 baar jodo: 10 + 10 + 10 = 30. Isi tarah 46 × 10 matlab 46 ko 10 baar jodna. 46 mein 4 dahai aur 6 ikai hain. 10 baar lene pe 6 ikai ban jaati hain 6 dahai (60), aur 4 dahai ban jaati hain 4 saikde (400). Kul 400 + 60 = 460.
Aasaan niyam: kisi poore number ko 10 se guna karna ho to uske peeche (right mein) ek 0 likh do. Har digit ek jagah left khisak jaata hai, aur ikai ki khaali jagah mein 0 aa jaata hai.
| Number | × 10 | Kya hua |
|---|---|---|
| 7 | 70 | 7 ikai → 7 dahai |
| 46 | 460 | 4 dahai → 4 saikde, 6 ikai → 6 dahai |
| 128 | 1280 | har digit ek jagah left, peeche 0 |
| 365 | 3650 | har digit ek jagah left, peeche 0 |
✂️ Aadha karna kya hai? Bade number ka aadha kaise karein?
Aadha (half) matlab kisi cheez ke do barabar hisse karna aur ek hissa lena. 8 laddoo hain aur 2 bachche. Dono ko barabar do, to har ek ko 4 milenge. Isliye “8 ka aadha 4”. Ise aise bhi likhte hain: 8 ÷ 2 = 4. Yahan ÷ ka matlab hai “barabar hisson mein baantna”, aur ÷ 2 matlab “2 barabar hisse”.
Aadha sahi hai ya nahi, kaise check karein? Aadha + aadha = poora number. 4 + 4 = 8 ✅. Yeh check hum har jagah karenge.
Chhote numbers ke aadhe (yeh yaad rakhne layak hain):
| Number | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
|---|---|---|---|---|---|---|---|---|---|---|
| Aadha | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Round numbers (peeche 0 wale) ka aadha: 40 matlab 4 dahai. 4 dahai ka aadha 2 dahai = 20. Isi tarah 60 ka aadha 30, 400 ka aadha 200, 800 ka aadha 400, 6000 ka aadha 3000. Niyam: pehle digit ka aadha karo, peeche ke 0 waise hi rakho.
Agar digit taaq ho (1, 3, 5, 7, 9) to? Jaise 70 ka aadha. 7 ke do barabar hisse poore nahi bante. To 70 ko tod lo: 70 = 60 + 10. 60 ka aadha 30, 10 ka aadha 5. Dono jodo: 30 + 5 = 35. Check: 35 + 35 = 70 ✅. Isi tarah:
| Number | 10 | 30 | 50 | 70 | 90 | 100 | 300 | 500 | 700 | 900 | 1000 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Aadha | 5 | 15 | 25 | 35 | 45 | 50 | 150 | 250 | 350 | 450 | 500 |
(Kaise? 30 = 20 + 10, to 10 + 5 = 15. 500 = 400 + 100, to 200 + 50 = 250. Har baar: ek juft hissa + ek 10 ya 100.)
Bade number ka aadha tukdon mein (place value se): number ko uski jagahon mein tod do, har tukde ka alag aadha karo, phir aadhe jod do. Yeh isliye chalta hai: socho do dabbe hain, ek mein 400 laddoo, ek mein 60. Dono dabbon ke laddoo alag-alag aadhe-aadhe baant do. Har bachche ko 200 + 30 = 230 mile, bilkul utna jitna sab ek saath baantne pe milta.
- 460 = 400 + 60 → 200 + 30 = 230. Check: 230 + 230 = 460 ✅
- 470 = 400 + 70 → 200 + 35 = 235. Check: 235 + 235 = 470 ✅
- 3650 = 3000 + 600 + 50 → 1500 + 300 + 25 = 1825. Check: 1825 + 1825 = 3650 ✅
Juft aur taaq: jo number 2 barabar hisson mein bina kuch bache bant jaaye, woh juft (even) hai: uska aakhri digit 0, 2, 4, 6 ya 8 hota hai (jaise 46, 120). Jo poora na bante, ek bach jaaye, woh taaq (odd) hai: aakhri digit 1, 3, 5, 7 ya 9 (jaise 47). Taaq number ka aadha poora number nahi aata: 47 ka aadha 23 aur upar se aadha, jise 23.5 likhte hain (padho “saadhe teis”; “.5” matlab “aadha”). Check: 23 + 23 = 46, aur do aadhe milkar 1, to 47. Aise “saadhe” wale jawab se bachne ka raasta: pehle peeche 0 lagao. Peeche 0 wala number hamesha juft hota hai (aakhri digit 0), isliye uska aadha hamesha poora aata hai: 470 ka aadha 235.
🔁 Chhota sa warm-up
- 46 × 10 = ?
- 60 ka aadha = ?
- 70 ka aadha = ?
Answers dekho
- 460 (46 ke peeche 0)
- 30 (kyunki 30 + 30 = 60)
- 35 (70 = 60 + 10, to 30 + 5; check 35 + 35 = 70)
Teeno aa gaye? Bas yahi chhote kaam milkar aaj ki trick bante hain!
— 📌 charumam.com
🎬 Kahani: Riya Ki Gullak Aur ₹5 Ke Sikke
Riya ne apni gullak (paise jodne ka dabba) todi. Usme sirf ₹5 ke sikke the. Ginti ki: 46 sikke.
Bhaiya ne ginna shuru kiya: “5, 10, 15, 20, 25…” aur beech mein bhool gaye ki kahan tak pahunche the! 😅
CharuMam ne kaha: “Ek-ek mat gino. Do-do sikkon ki jodi banao. Do sikke ₹5 + ₹5 = ₹10. 46 sikkon ki kitni jodi? 46 ka aadha, yaani 23 jodi. Har jodi ₹10, to 23 jodi ke ₹230.”
Riya chaunk gayi: “Bas? ₹230!” CharuMam muskurayi: “Aaj yahi seekhenge: 5 se guna = 10 se guna ka aadha.” 🪙
— 📌 charumam.com
🪄 Trick Step by Step: Peeche 0 Lagao, Phir Aadha Karo
💡 Is post ki ek badi baat: Kisi number × 5 = us number × 10, phir aadha. Yaani pehle number ke peeche 0 lagao, phir us naye number ka aadha karo (tukdon mein). Kyunki 5 = 10 ka aadha (5 + 5 = 10).
Step 1: Number ke peeche 0 lagao (× 10)
Sawaal: 46 × 5. 46 ke peeche 0: 460. Yeh 46 × 10 hai.
Step 2: Naye number ko jagah ke hisaab se tukdon mein todo
460 = 4 saikde + 6 dahai = 400 + 60.
Step 3: Har tukde ka aadha karo
400 ka aadha 200 (4 ka aadha 2, peeche ke 00 waise hi). 60 ka aadha 30 (6 ka aadha 3, peeche ka 0 waise hi).
Step 4: Aadhe jodo aur check karo
200 + 30 = 230. Check: 230 + 230 = 460 ✅. To 46 × 5 = 230.
Taaq number: 47 × 5
47 ke peeche 0: 470. Tukde: 470 = 400 + 70. 400 ka aadha 200. 70 ka aadha? 7 taaq hai, to 70 = 60 + 10 → 30 + 5 = 35. Jodo: 200 + 35 = 235. Check: 235 + 235 = 470 ✅
Pehle 0 kyun? Agar seedha 47 ka aadha karte, to “23 aur aadha” (23.5, saadhe teis) aata, aur phir uske saath guna karna mushkil. Peeche 0 lagane ke baad number ka aakhri digit 0 hota hai, yaani number juft ban jaata hai, aur uska aadha hamesha poora number aata hai. Isliye niyam: pehle 0, phir aadha.
Juft number pe ek aur raasta: pehle aadha, phir 0
46 juft hai. 46 ka aadha 23 (40 ka aadha 20, 6 ka aadha 3). Phir peeche 0: 230. Wahi jawab! Kahani mein Riya ne yahi kiya tha: pehle jodi (aadha) = 23, phir har jodi ₹10 (peeche 0). Dono kram mein jawab same aata hai, par taaq number pe hamesha pehle 0, taaki saadhe na aaye.
| Sawaal | Peeche 0 | Aadha (tukdon mein) | Jawab |
|---|---|---|---|
| 46 × 5 | 460 | 400 → 200, 60 → 30 | 230 |
| 47 × 5 | 470 | 400 → 200, 70 → 35 | 235 |
| 18 × 5 | 180 | 100 → 50, 80 → 40 | 90 |
| 63 × 5 | 630 | 600 → 300, 30 → 15 | 315 |
| 128 × 5 | 1280 | 1000 → 500, 200 → 100, 80 → 40 | 640 |
| 365 × 5 | 3650 | 3000 → 1500, 600 → 300, 50 → 25 | 1825 |
(Table mein “400 → 200” ka matlab “400 ka aadha 200”.)
🆘 Atak gaye? Aise socho
- Aadha yaad nahi aa raha? Number ko tukdon mein todo: 470 = 400 + 70. Har tukde ka aadha alag, phir jodo. Taaq tukda (jaise 70) ho to use juft + 10 mein todo: 60 + 10 → 30 + 5.
- Taaq number (aakhri digit 1, 3, 5, 7, 9)? Hamesha pehle peeche 0, phir aadha. Saadhe (.5) aayega hi nahi.
- Andaaza lagao: × 5 ka jawab, number × 10 ka aadha hai. To jawab number se bada aur number × 10 se chhota hona chahiye. 46 × 5 = 230: 46 se bada, 460 se chhota ✅.
- Check: jawab + jawab = number ke peeche 0 wala number. 230 + 230 = 460 ✅.
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
5 = 10 ka aadha, kyunki 5 + 5 = 10. Ab kahani wale sikke socho. Do sikke ₹5 ke milkar ₹10 bante hain. To jitne sikke hain, unki aadhi jodiyaan banti hain, aur har jodi ₹10 ki hoti hai.
Ek aur tareeke se: agar 46 sikke ₹10 ke hote, to paise 46 × 10 = 460 hote. Par har sikka ₹10 ka nahi, uska aadha (₹5) hai. To kul paise bhi aadhe honge: 460 ka aadha 230.
Neeche chitra mein chhota example: 8 sikke ₹5 ke. 4 jodi, har jodi ₹10, kul ₹40. Aur 8 × 10 = 80, jiska aadha 40. Dono same!
Ek line mein yaad rakho: number × 5 = (number × 10) ka aadha. Bracket ( ) ka matlab: bracket ke andar wala kaam pehle karo, yaani pehle × 10, phir aadha.
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: 38 × 5 = ?
Peeche 0: 380. Tukde: 300 + 80. 300 ka aadha 150 (300 = 200 + 100 → 100 + 50), 80 ka aadha 40. Jodo: 150 + 40 = 190.
✔️ Normal tareeke se check: Column: ikai 5 × 8 = 40 → 0 likho, 4 carry. Dahai 5 × 3 = 15, usme carry 4 jodo: 15 + 4 = 19. Jawab 190 ✅
Example 2: 47 × 5 = ? (taaq number)
Peeche 0: 470. Tukde: 400 + 70 → 200 + 35 = 235.
✔️ Normal tareeke se check: Tukdon mein guna (GUNA box): 47 = 40 + 7. 5 baar 40 = 20 dahai = 200. 5 baar 7 = 35. Kul 200 + 35 = 235 ✅
Example 3: 124 × 5 = ?
Peeche 0: 1240. Tukde: 1000 + 200 + 40 → 500 + 100 + 20 = 620.
✔️ Normal tareeke se check: Column: ikai 5 × 4 = 20 → 0 likho, 2 carry. Dahai 5 × 2 = 10, usme 2 jodo: 12 → 2 likho, 1 carry. Saikda 5 × 1 = 5, usme 1 jodo: 6. Jawab 620 ✅
Example 4: Ek pencil ₹5 ki. 73 pencil ka daam?
Daam = 73 × 5. Peeche 0: 730. Tukde: 700 + 30 → 350 + 15 = ₹365. (700 ka aadha: 700 = 600 + 100 → 300 + 50 = 350. 30 ka aadha 15.)
✔️ Normal tareeke se check: Tukdon mein: 73 = 70 + 3. 5 baar 70 = 35 dahai = 350. 5 baar 3 = 15. Kul 350 + 15 = 365 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Vedic Maths ki kitabon mein aisi soch milti hai ki 5, 25, 50 jaise numbers ko 10 ya 100 ka hissa maan kar guna karo, kyunki 10 aur 100 se guna sabse aasaan hai (bas zero lagao). Hum naam ratne ki jagah wajah samajhte hain: 5 = 10 ka aadha, isliye × 5 = × 10 ka aadha. Yahi soch agle post mein 25 (100 ka chautha hissa) aur 50 (100 ka aadha) pe lagegi.
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| Koi bhi number × 5 | ✅ Haan | Peeche 0, phir aadha: do chhote step. |
| ₹5 ke sikke ya ₹5 wali cheezein ginna | ✅ Bahut tez | Daam = ginti × 5. |
| Bahut chhota number (jaise 3 × 5) | ⚠️ Pahaada hi kaafi | 3 × 5 = 15 seedha yaad hai, trick ki zaroorat nahi. |
| × 15 ya × 55 jaisa sawaal | ❌ Yeh trick nahi | 15 aur 55, 10 ke aadhe nahi hain. Yeh trick sirf × 5 ke liye. |
| × 25 ya × 50 | ⚠️ Agle posts 5.2 aur 5.3 | Wahan peeche 00 lagakar aadha (50) ya aadhe ka aadha (25). |
| Teacher ne column steps maange | ❌ Answer sheet pe nahi | Sheet pe column method, rough mein trick se check. |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: Sirf 0 lagaya, aadha bhool gaye
Sawaal: 46 × 5
❌ Galat: 460. (Yeh to 46 × 10 hai!)
✅ Sahi: 460 ka aadha = 230. Check: 230 + 230 = 460.
Galti 2: Taaq number ka pehle aadha, aur “aadha” chhoot gaya
Sawaal: 47 × 5
❌ Galat: “47 ka aadha 23, peeche 0, to 230.” Yahan 47 ka aadha 23 nahi, 23 aur aadha (saadhe teis) hai; woh aadha chhoot gaya.
✅ Sahi: pehle 0: 470 ka aadha = 235.
Galti 3: Tukde ka aadha galat
Sawaal: 470 ka aadha
❌ Galat: “400 → 200, 70 → 30, to 230.”
✅ Sahi: 70 ka aadha 35 (35 + 35 = 70), to 200 + 35 = 235.
Galti 4: Pehle aadha kiya, phir 0 lagana bhool gaye
Sawaal: 46 × 5
❌ Galat: 23.
✅ Sahi: 23 ke peeche 0 = 230. Andaaza check: 46 × 5 to 46 se bada hona chahiye, 23 nahi ho sakta!
🧠 Rule of thumb: × 5 = peeche 0, phir aadha. Taaq number pe pehle 0 zaroor. Check: jawab + jawab = number ke peeche 0 wala number.
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
Timer lagao. 15 sawaal, sab × 5. Har ek mein: peeche 0, phir aadha. Target: 4 minute.
- 24 × 5 = ?
- 36 × 5 = ?
- 48 × 5 = ?
- 15 × 5 = ?
- 27 × 5 = ?
- 33 × 5 = ?
- 52 × 5 = ?
- 69 × 5 = ?
- 71 × 5 = ?
- 86 × 5 = ?
- 99 × 5 = ?
- 120 × 5 = ?
- 145 × 5 = ?
- 208 × 5 = ?
- 333 × 5 = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 120
- 180
- 240
- 75
- 135
- 165
- 260
- 345
- 355
- 430
- 495
- 600
- 725
- 1040
- 1665
Kaise kiya (kuch): 27 × 5: 270 = 200 + 70 → 100 + 35 = 135. 99 × 5: 990 = 900 + 90 → 450 + 45 = 495. 333 × 5: 3330 = 3000 + 300 + 30 → 1500 + 150 + 15 = 1665.
— 📌 charumam.com
⏰ One-Minute Challenge
Sirf 1 minute (60 second). Timer lagao, aur jitne ho sakein utne sawaal mann mein (bina copy ke) karo. Sirf jawab likhna hai.
- 14 × 5 = ?
- 22 × 5 = ?
- 28 × 5 = ?
- 35 × 5 = ?
- 41 × 5 = ?
- 56 × 5 = ?
- 63 × 5 = ?
- 78 × 5 = ?
- 90 × 5 = ?
- 102 × 5 = ?
| Rating | Kitne sahi, kitne time mein |
|---|---|
| 🌱 Beginner | 60 second mein 5 se 7 sahi. Badhiya shuruaat! |
| 🚀 Pro | 60 second mein 8 ya 9 sahi |
| 🏆 Champion | 10 mein 10 sahi, 60 second ke andar |
Answers dekho
- 70
- 110
- 140
- 175
- 205
- 280
- 315
- 390
- 450
- 510
5 se kam sahi? Koi baat nahi! Trick wala section ek baar aur padho aur kal phir try karo. Har din thoda better, bas yahi chahiye. 💪
— 📌 charumam.com
📝 10 MCQs (Har Option Ka Kaaran)
MCQ matlab ek sawaal ke chaar jawab (options) diye hote hain, unme se ek sahi chunna hai.
Q1. 46 × 5 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 230
- (a) sahi ✅: Peeche 0: 460, aadha: 230. Check: 230 + 230 = 460.
- (b) galat ❌: 460 sirf 46 × 10 hai; aadha karna bhool gaye.
- (c) galat ❌: 23 sirf 46 ka aadha hai; peeche 0 lagana bhool gaye.
- (d) galat ❌: 200 aur 30 ko jodna tha (230); 203 mein 3 galat jagah (ikai mein) chala gaya.
Q2. × 5 trick ka pehla step kya hai?
Jawab aur kaaran dekho
Sahi jawab: (d) Number ke peeche 0 lagao
- (a) galat ❌: 5 jodna guna nahi hai: 46 mein 5 jodo to 51 aata hai, 230 nahi.
- (b) galat ❌: Number ko 5 baar likhne se (464646…) guna nahi hota; 5 baar jodna hota hai.
- (c) galat ❌: Ghatana alag kaam hai; guna mein ghatana nahi.
- (d) sahi ✅: Pehle × 10 (peeche 0), phir aadha.
Q3. 470 ka aadha kya hai?
Jawab aur kaaran dekho
Sahi jawab: (c) 235
- (a) galat ❌: 35 sirf 70 ka aadha hai; 400 ka aadha (200) bhool gaye.
- (b) galat ❌: 2350 bahut bada hai; aadha hamesha number se chhota hota hai.
- (c) sahi ✅: 470 = 400 + 70 → 200 + 35 = 235. Check: 235 + 235 = 470.
- (d) galat ❌: 230 tab aata hai jab 70 ka aadha galti se 30 le liya; 70 ka aadha 35 hai.
Q4. 63 × 5 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 315
- (a) galat ❌: 300 aur 15 ko jodna tha; 3015 mein dono ko chipka diya.
- (b) sahi ✅: 630 = 600 + 30 → 300 + 15 = 315.
- (c) galat ❌: 630 sirf 63 × 10 hai; aadha bhool gaye.
- (d) galat ❌: 30 ka aadha 15 hai, 5 nahi; isliye 305 galat.
Q5. Inme se taaq (odd) number kaunsa hai?
Jawab aur kaaran dekho
Sahi jawab: (a) 47
- (a) sahi ✅: 47 ka aakhri digit 7 hai, to taaq. 2 barabar hisse poore nahi bante.
- (b) galat ❌: 46 ka aakhri digit 6, to juft (23 + 23 = 46).
- (c) galat ❌: 120 ka aakhri digit 0, to juft (60 + 60 = 120).
- (d) galat ❌: 58 ka aakhri digit 8, to juft (29 + 29 = 58).
Q6. Riya ke paas ₹5 ke 38 sikke hain. Kul kitne rupaye?
Jawab aur kaaran dekho
Sahi jawab: (d) ₹190
- (a) galat ❌: 380 sirf 38 × 10 hai; har sikka ₹5 ka hai, ₹10 ka nahi, to aadha karna tha.
- (b) galat ❌: ₹43 tab aata hai jab 38 mein 5 jod diya; yahan guna chahiye.
- (c) galat ❌: 380 = 300 + 80 → 150 + 40 = 190; 180 mein 300 ka aadha galti se 140 le liya.
- (d) sahi ✅: 38 × 5: peeche 0 = 380, aadha = 190.
Q7. × 5 ko “× 10 ka aadha” kyun keh sakte hain?
Jawab aur kaaran dekho
Sahi jawab: (c) Kyunki 5 + 5 = 10, yaani 5 = 10 ka aadha
- (a) galat ❌: 5 mein 0 hai hi nahi; yeh wajah galat hai.
- (b) galat ❌: 5 sabse chhota number nahi (1, 2, 3, 4 usse chhote hain); aur yeh wajah bhi nahi.
- (c) sahi ✅: 5 do baar jodo to 10 banta hai, to 5 = 10 ka aadha. Isliye × 5 ka jawab × 10 ke jawab ka aadha hai.
- (d) galat ❌: Taaq hona wajah nahi; 7 bhi taaq hai par 7, 10 ka aadha nahi.
Q8. 124 × 5 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 620
- (a) galat ❌: 625 tab aata hai jab aakhri tukda 40 ka aadha galti se 25 le liya: 500 + 100 + 25 = 625; sahi aadha 20 hai, to 620.
- (b) sahi ✅: 1240 = 1000 + 200 + 40 → 500 + 100 + 20 = 620.
- (c) galat ❌: 1240 sirf 124 × 10 hai; aadha bhool gaye.
- (d) galat ❌: 40 ka aadha 20 hai, 10 nahi; isliye 610 galat.
Q9. 46 × 5 = 230 sahi hai, yeh kaise check karein?
Jawab aur kaaran dekho
Sahi jawab: (a) 230 + 230 = 460 (46 ke peeche 0)
- (a) sahi ✅: Aadha + aadha = poora: 230 + 230 = 460 = 46 × 10. Isliye 230 sahi.
- (b) galat ❌: 230 mein 5 jodne se kuch check nahi hota.
- (c) galat ❌: 230 − 46 ghatana check ka tareeka nahi hai yahan.
- (d) galat ❌: 46 + 5 jod hai; guna ka check nahi.
Q10. Taaq number × 5 ke liye sabse aasaan kram kya hai?
Jawab aur kaaran dekho
Sahi jawab: (d) Pehle peeche 0, phir aadha
- (a) galat ❌: Taaq ka pehle aadha karo to saadhe (jaise 23.5) aata hai, mushkil ho jaata hai.
- (b) galat ❌: Sirf aadha karna × 5 nahi hai; 47 ka aadha 23.5 hai, 235 nahi.
- (c) galat ❌: Sirf 0 lagana × 10 hai, × 5 nahi.
- (d) sahi ✅: Peeche 0 lagane se number juft ban jaata hai, to aadha poora aata hai (470 → 235).
— 📌 charumam.com
🧠 Challenge: HOTS Aur Olympiad Style
HOTS matlab Higher Order Thinking Skills, yaani aise sawaal jinme sirf trick nahi, thoda dimaag bhi lagana padta hai. Olympiad ek maths competition (pratiyogita) hota hai.
Q1. □ × 5 = 185. □ mein kaunsa number hai?
Solution dekho
× 5 matlab “peeche 0, phir aadha”. To 185 kisi number (peeche 0 wale) ka aadha hai. Woh poora number: 185 ka double (dugna, yaani 2 baar jodo): 185 + 185 = 370. Yeh □ ke peeche 0 lagane se bana, to □ = 37 (370 ka 0 hata do — peeche 0 lagana ulta karo, to 0 hata do).
Check: 37 × 5: peeche 0 = 370, aadha = 185 ✅
Q2. 48 × 5 aur 52 × 5 nikaal kar jodo. Kya koi chhota raasta hai?
Solution dekho
Post 4.4 wali soch: 48 ko 5 baar aur 52 ko 5 baar = (48 + 52) ko 5 baar. 48 + 52 = 100. Phir 100 × 5: peeche 0 = 1000, aadha = 500.
Check: 48 × 5 = 240 (480 ka aadha), 52 × 5 = 260 (520 ka aadha), 240 + 260 = 500 ✅
Q3. Woh sabse bada number kaunsa hai jiska × 5 abhi bhi 2-digit (100 se chhota) ho?
Solution dekho
100 se chhota matlab 2-digit. 100 ka aadha-ulta socho: 100 = 200 ka aadha, aur 200 = 20 ke peeche 0, to 20 × 5 = 100 (3-digit). Isliye 20 se shuru: 20 × 5: peeche 0 = 200, aadha = 100. 100 to 3-digit hai. Usse ek kam, 19 × 5: 190 ka aadha = 95 (2-digit). To jawab 19.
Check: 19 × 5 = 95 ✅ aur 20 × 5 = 100 (3-digit).
Q4. Riya roz ₹5 bachaati hai. Ek saal (365 din) mein kitne?
Solution dekho
365 × 5. Peeche 0: 3650. Tukde: 3000 + 600 + 50 → 1500 + 300 + 25 = ₹1825.
Check: 1825 + 1825 = 3650 ✅
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School exam (Class 6–8) | Kahani wale sawaal (word problems): “ek cheez ₹5 ki, 64 cheezon ka daam?” Rough mein trick, sheet pe steps. |
| Maths Olympiad | Guna ko aasaan banana, jaise 48 × 5 aur 52 × 5 ka jod = 100 × 5. |
| NTSE / MAT | Mental calculation aur number ki line / series (number series) (5, 10, 15, …) mein tez × 5. |
| SSC / Bank (aage) | Simplification mein × 5 bahut aata hai. |
Shabdon ka matlab: Olympiad = school ke bachchon ki maths pratiyogita (competition). NTSE = Class 10 ke bachchon ka ek national scholarship (vazifa) exam. MAT = Mental Ability Test, yaani sochne-samajhne ki pariksha (NTSE ka ek hissa). SSC / Bank exam = badon ke sarkari naukri ke exam. Simplification = lambe hisaab ko chhota karke jawab nikaalna. Mental calculation = bina copy-pencil ke, mann mein hisaab karna. Class 6–8 = school ki chhathi se aathvi kaksha.
— 📌 charumam.com
👩🏫 CharuMam Ka Tip
Dukaan pe ₹5 wali toffee ya pencil dekho to mann mein poocho: “12 lein to kitna?” 120 ka aadha 60! Roz 10 sawaal × 5 ke, aur har baar aadha + aadha se check. Ek hafte mein yeh automatic ho jaayega! 🪙
— 📌 charumam.com
⏱ After Timer: Ab Trick Se!
Wahi sawaal jo shuru mein kiya tha. Stopwatch phir chalu kijiye, aur is baar aaj ki trick se kijiye:
Trick se kaise karein (dekho)
46 ke peeche 0 lagao: 460. Ab 460 ka aadha: 460 = 400 + 60. 400 ka aadha 200, 60 ka aadha 30. Jodo: 200 + 30 = 230 ✅. Check: 230 + 230 = 460.
| Before time | After time | Kitna tez? |
|---|---|---|
| ____ second | ____ second | Before − After = ____ second bache! |
Pehli baar mein time zyada bhi lag sakta hai, ghabraiye nahi! Nayi trick ko 3 se 4 din ki practice chahiye. Phir yeh purane tareeke se kaafi tez ho jaati hai. 🚀
— 📌 charumam.com
🤖 Aur Practice: AI Tutor Se Poochho
Neeche wali line copy kijiye aur CharuMam AI Tutor (tutor.charumam.com) mein paste kar dijiye. Tutor aapko naye sawaal dega aur galti hone pe samjhayega:
— 📌 charumam.com
❓ FAQs (Bachchon Ke Asli Sawaal)
1. Kya 5 ka pahaada ratna zaroori hai?
Chhote numbers (1 se 10) ke liye pahaada achha hai. Bade numbers (46, 124) ke liye yeh trick tez hai, aur samajh bhi aati hai ki jawab kyun sahi hai.
2. Taaq number ka aadha karna hi pade to?
Taaq number ka aadha “saadhe” wala aata hai: 47 ka aadha 23.5 (saadhe teis). Isliye × 5 mein hum pehle 0 lagate hain, taaki yeh na aaye.
3. Kya yeh bahut bade numbers pe bhi chalti hai?
Haan. 2468 × 5: peeche 0 = 24680. Tukde: 20000 + 4000 + 600 + 80 → 10000 + 2000 + 300 + 40 = 12340.
4. Agle post mein kya hai?
Post 5.2: × 25. Peeche 00 lagao, phir aadhe ka aadha. 36 × 25 = 900.
— 📌 charumam.com
🟢 Recap: Aaj Kya Seekha
- × 5 = peeche 0 (× 10), phir aadha. Kyunki 5 = 10 ka aadha.
- 46 × 5: 460 ka aadha = 230.
- Bade number ka aadha tukdon mein: 470 = 400 + 70 → 200 + 35 = 235.
- Taaq number pe pehle 0 lagao, taaki saadhe (.5) na aaye.
- Juft number pe pehle aadha, phir 0 bhi chalta hai (46 → 23 → 230).
- Check: jawab + jawab = number ke peeche 0 wala number.
— charumam.com 🎯
👉 Aage Kya?
× 5 aa gaya? Ab × 25: Post 5.2 mein peeche 00 lagakar aadhe ka aadha. 36 × 25 = 900, aur yeh bhi ki ÷ 4 kya hota hai!
Koi doubt? CharuMam AI Tutor se poochho, ya comment mein likho! 💬
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- 🌐 Website: charumam.com
- 🤖 AI Tutor (doubt poochho, 24×7): tutor.charumam.com
- ▶️ YouTube (subscribe): @charumamofficial
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— 📌 charumam.com
