Post 5.1 mein × 5 seekha: peeche 0, phir aadha. Aaj × 25: peeche 00 lagao, phir aadha, phir uska bhi aadha. Pehle samjhenge 100 se guna aur “÷ 4” (chautha hissa) ka matlab, phir trick, phir chitra se kyun. Shuru!
⏱ Before Timer: Pehle Purane Tareeke Se
Pehle school wala tareeka. 36 × 25 matlab 36 ko 25 baar jodna. School mein ise do hisson mein karte hain, kyunki 25 = 20 + 5:
- 36 ko 20 baar: 36 ko 10 baar = 360 (peeche 0). 20 baar matlab 10 baar, aur phir 10 baar: 360 + 360 = 720.
- 36 ko 5 baar: Post 5.1 se: 360 ka aadha = 180. (Ya column: 5 × 6 = 30 → 0 likho, 3 carry; 5 × 3 = 15, usme 3 jodo = 18 → 180.)
- Dono jodo: 720 + 180 = 900.
Teen alag hisaab, aur har ek mein galti ka mauka. Trick ise kaafi chhota kar degi.
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
36 × 25 = 900
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 teen cheezein chahiye: 100 se guna (peeche 00), aadha karna (Post 5.1, neeche dobara), aur ÷ 4 yaani aadhe ka aadha. Sab neeche ke boxes mein hai. Pehle naye shabd:
📖 Shabd jo is post mein aayenge
- × 100 (100 se guna): poore number ke peeche do 0 lagana: 36 × 100 = 3600. Kyunki 100 = 10 × 10, to do baar 10 se guna.
- Aadha (÷ 2): do barabar hisse karke ek hissa. 3600 ka aadha 1800, kyunki 1800 + 1800 = 3600.
- ÷ 4 (chautha hissa, chauthai): 4 barabar hisse karke ek hissa. Aasaan tareeka: aadha, phir uska aadha. 3600 ÷ 4 = 900.
- Aadhe ka aadha: pehle aadha karo, jo aaye uska phir aadha karo. 100 → 50 → 25.
- 25 aur 100 ka rishta: 25 + 25 + 25 + 25 = 100, yaani 4 baar 25 = 100. Isliye 25 = 100 ka chautha hissa.
- Check (4 baar jodo): chautha hissa 4 baar jodo to poora number wapas aana chahiye: 900 + 900 + 900 + 900 = 3600.
📏 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 |
💯 100 se guna = peeche do 0 lagao
100 = 10 × 10 (10 ko 10 baar jodo: 10, 20, 30, … 100). Isliye 100 se guna karna matlab do baar 10 se guna. Har baar 10 se guna pe peeche ek 0 lagta hai (upar wala box), to 100 se guna pe do 0:
36 → (× 10) 360 → (× 10) 3600
Place value se: 36 × 100 matlab 36 saikde (36 sau). 36 sau = 3600 (padho: teen hazaar chhe sau).
| Number | × 100 |
|---|---|
| 7 | 700 |
| 36 | 3600 |
| 37 | 3700 |
| 124 | 12400 (padho: barah hazaar chaar sau) |
Bade number padhna: 12400 mein right se paanchvi jagah Das hazaar (10000 wale) hai. 12400 = 1 das hazaar + 2 hazaar + 4 saikde, yaani 10000 + 2000 + 400.
✂️ 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.
🍕 ÷ 4 (chautha hissa) = aadhe ka aadha
÷ 4 matlab 4 barabar hisse karna aur ek hissa lena. Ek hisse ko “chautha hissa” ya “chauthai” (quarter) kehte hain. 12 laddoo, 4 bachche: har ek ko 3, kyunki 3 + 3 + 3 + 3 = 12. To 12 ÷ 4 = 3.
4 hisse aasaani se kaise banayein? Pehle 2 barabar hisse karo (aadha), phir har hisse ke 2 barabar hisse (aadhe ka aadha). Ek roti ko beech se kaato: 2 tukde. Har tukde ko phir beech se kaato: 4 barabar tukde. Isliye:
÷ 4 = aadha, phir uska aadha
- 12 → aadha 6 → aadha 3. To 12 ÷ 4 = 3.
- 100 → aadha 50 → aadha 25. To 100 ÷ 4 = 25. Check: 25 + 25 + 25 + 25 = 100 ✅
- 3600 → aadha 1800 → aadha 900. To 3600 ÷ 4 = 900. Check: 900 + 900 + 900 + 900 = 3600 ✅
Check ka niyam: chautha hissa 4 baar jodo to poora number wapas aana chahiye.
🔁 Chhota sa warm-up
- 36 × 100 = ?
- 3600 ka aadha = ?
- 1800 ka aadha = ?
Answers dekho
- 3600 (peeche 00)
- 1800 (1800 + 1800 = 3600)
- 900 (900 + 900 = 1800)
Teeno aa gaye? Yahi teen step milkar 36 × 25 = 900 ban jaata hai!
— 📌 charumam.com
🎬 Kahani: School Match Ke ₹25 Wale Ticket
School mein cricket match tha. Ek ticket ₹25 ka. Class ke 36 bachche ja rahe the. Monitor Kabir ko total paise nikaalne the.
Kabir ne copy pe likhna shuru kiya: 25, 50, 75, 100, 125… “Uff, 36 baar?” 😩
CharuMam: “Kabir, 4 ticket ka daam kitna?” Kabir: “25 + 25 + 25 + 25 = ₹100!” CharuMam: “Shabaash. To 4-4 bachchon ke group banao. 36 bachchon ke kitne group?” Kabir socha: 36 ka aadha 18, 18 ka aadha 9. “9 group, Mam!” “Har group ₹100, to 9 group ke?” “₹900!” 🎟️
CharuMam: “Aaj yahi trick seekhenge: × 25 = × 100, phir aadhe ka aadha.”
— 📌 charumam.com
🪄 Trick Step by Step: Peeche 00 Lagao, Phir Aadha, Phir Aadha
💡 Is post ki ek badi baat: Kisi number × 25 = us number × 100, phir aadha, phir uska aadha (yaani ÷ 4). Kyunki 4 baar 25 = 100, matlab 25 = 100 ka chautha hissa.
Step 1: Number ke peeche 00 lagao (× 100)
Sawaal: 36 × 25. 36 ke peeche 00: 3600. Yeh 36 × 100 hai.
Step 2: Pehla aadha
3600 = 3000 + 600. 3000 ka aadha 1500 (3000 = 2000 + 1000 → 1000 + 500). 600 ka aadha 300. Jodo: 1500 + 300 = 1800.
Step 3: Doosra aadha (aadhe ka aadha)
1800 = 1000 + 800. 1000 ka aadha 500, 800 ka aadha 400. Jodo: 500 + 400 = 900.
Step 4: Check karo
900 ko 4 baar jodo: 900 + 900 = 1800, 1800 + 1800 = 3600 ✅ (yaani 36 × 100). To 36 × 25 = 900.
Taaq number: 37 × 25
Peeche 00: 3700. Pehla aadha: 3700 = 3000 + 700 → 1500 + 350 = 1850. Doosra aadha: 1850 = 1000 + 800 + 50 → 500 + 400 + 25 = 925. Check: 925 + 925 = 1850, 1850 + 1850 = 3700 ✅
Saadhe (.5) kabhi nahi aayega! Peeche 00 wala number hamesha 100 ke poore tukdon se bana hota hai, aur har 100 ka chautha hissa poora 25 hai. Isliye 00 lagane ke baad aadha aur aadhe ka aadha, dono poore number aate hain. Isi liye niyam: pehle 00, phir aadha, phir aadha.
| Sawaal | Peeche 00 | Pehla aadha | Doosra aadha = Jawab |
|---|---|---|---|
| 16 × 25 | 1600 | 800 | 400 |
| 36 × 25 | 3600 | 1800 | 900 |
| 37 × 25 | 3700 | 1850 | 925 |
| 44 × 25 | 4400 | 2200 | 1100 |
| 82 × 25 | 8200 | 4100 | 2050 |
| 99 × 25 | 9900 | 4950 | 2475 |
| 124 × 25 | 12400 | 6200 | 3100 |
Doosra aadha kaise (2 mushkil wale): 4950 = 4000 + 900 + 50 → 2000 + 450 + 25 = 2475. 4100 = 4000 + 100 → 2000 + 50 = 2050.
Chhota raasta (jab number ka aadha-aadha aasaan ho)
Kahani mein Kabir ne pehle 36 ka aadha-aadha kiya (36 → 18 → 9, yaani 9 group), phir peeche 00 lagaya: 900. Kram badla, jawab wahi. Yeh tab achha hai jab number ka aadha, aur phir uska aadha, dono poore aayein (jaise 36, 44, 48). Shaq ho to pehle 00 wala raasta lo, woh hamesha chalega.
🆘 Atak gaye? Aise socho
- Ek aadha kiya ya do? × 25 mein do baar aadha karna hai. Ek baar aadha karne pe jo aata hai, woh × 50 ka jawab hai (Post 5.3), × 25 ka nahi.
- Kitne 0? × 25 mein peeche do 0 (kyunki 100). × 5 mein ek 0 tha.
- Bada number ka aadha? Tukdon mein: 3700 = 3000 + 700 → 1500 + 350.
- Andaaza: × 25 ka jawab number × 100 ka chautha hissa hai. 36 × 25 = 900: 3600 se kaafi chhota, 36 se kaafi bada ✅.
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
Ticket wali soch: 4 ticket = ₹100. To jitne bachche, unke 4-4 ke group banao: har group ₹100. 36 bachchon ke 9 group, to ₹900. 4-4 ke group banana hi “÷ 4” hai (36 ÷ 4 = 9), aur har group ₹100 hona hi “× 100” hai.
Chitra wali soch: neeche 100 chhote dabbe hain. Unhe 4 barabar rangon mein baanto: har rang mein 25 dabbe. Matlab 25 = 100 ka chautha hissa. Ab agar 36 baar 100 lete (36 × 100 = 3600), par hum 100 nahi, uska chautha hissa (25) le rahe hain, to jawab bhi 3600 ka chautha hissa: 3600 ÷ 4 = 900.
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: 24 × 25 = ?
Peeche 00: 2400. Aadha: 1200. Phir aadha: 600.
✔️ Normal tareeke se check: School wala tareeka (25 = 20 + 5): 24 ko 20 baar = 240 + 240 = 480. 24 ko 5 baar = 240 ka aadha = 120. Kul 480 + 120 = 600 ✅
Example 2: 37 × 25 = ? (taaq number)
3700 → 1850 → 925 (tukde upar dekho).
✔️ Normal tareeke se check: 37 ko 20 baar = 370 + 370 = 740. 37 ko 5 baar = 370 ka aadha = 185. Kul 740 + 185 = 925 ✅
Example 3: Ek ticket ₹25 ka. 52 ticket ka daam?
52 × 25: peeche 00: 5200. Aadha: 2600. Phir aadha: ₹1300.
✔️ Normal tareeke se check: Ticket ke group se: 4 ticket = ₹100. 52 ticket ke 4-4 ke group: 52 → 26 → 13 group. 13 group × ₹100 = ₹1300 ✅
Example 4: 126 × 25 = ?
Peeche 00: 12600. Aadha: 12600 = 12000 + 600 → 6000 + 300 = 6300. Phir aadha: 6300 = 6000 + 300 → 3000 + 150 = 3150.
✔️ Normal tareeke se check: 126 ko 20 baar = 1260 + 1260 = 2520. 126 ko 5 baar = 1260 ka aadha = 630. Kul 2520 + 630 = 3150 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Vedic Maths ki kitabon mein aisi soch milti hai ki mushkil number ko kisi aasaan round number ke hisse ki tarah dekho. 25 ko 100 ka chautha hissa maan lena wahi soch hai. Naam se zyada zaroori wajah hai: 4 baar 25 = 100, isliye × 25 = × 100 ÷ 4 (pehle × 100, phir ÷ 4).
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| Koi bhi number × 25 | ✅ Haan | Peeche 00, aadha, aadha. |
| ₹25 ke ticket / 25 wali cheezein | ✅ Bahut tez | 4 cheezein = ₹100 wali soch. |
| Number jiska aadha-aadha aasaan (36, 48) | ✅ Chhota raasta | Pehle aadha-aadha, phir peeche 00. |
| × 24 ya × 26 | ❌ Yeh trick nahi | 24 aur 26, 100 ke chauthe hisse nahi hain. |
| × 50 | ⚠️ Post 5.3 | Peeche 00, phir sirf ek aadha. |
| Teacher ne column steps maange | ❌ Answer sheet pe nahi | Sheet pe column, rough mein trick se check. |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: Sirf ek aadha kiya
Sawaal: 36 × 25
❌ Galat: 3600 ka aadha = 1800. (Yeh to 36 × 50 hai!)
✅ Sahi: phir aadha: 900.
Galti 2: Sirf ek 0 lagaya
Sawaal: 36 × 25
❌ Galat: 360 → 180 → 90.
✅ Sahi: × 25 mein 100 ka hissa hai, to peeche 00: 3600 → 1800 → 900. Andaaza: 36 × 25 to 36 × 10 (360) se bada hona chahiye, 90 nahi ho sakta.
Galti 3: Taaq number ka pehle aadha
Sawaal: 37 × 25
❌ Galat: “37 ka aadha 18…” aur aadha chhoot gaya.
✅ Sahi: pehle 00: 3700 → 1850 → 925.
Galti 4: Tukde ka aadha galat
Sawaal: 1850 ka aadha
❌ Galat: “1000 → 500, 800 → 400, 50 → 20, to 920.”
✅ Sahi: 50 ka aadha 25 (25 + 25 = 50), to 925.
🧠 Rule of thumb: × 25 = peeche 00, phir aadha, phir aadha. Check: jawab 4 baar jodo = number ke peeche 00 wala number.
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
Timer lagao. 15 sawaal, sab × 25. Target: 5 minute.
- 12 × 25 = ?
- 16 × 25 = ?
- 20 × 25 = ?
- 28 × 25 = ?
- 32 × 25 = ?
- 40 × 25 = ?
- 13 × 25 = ?
- 17 × 25 = ?
- 23 × 25 = ?
- 45 × 25 = ?
- 64 × 25 = ?
- 81 × 25 = ?
- 99 × 25 = ?
- 120 × 25 = ?
- 204 × 25 = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 300
- 400
- 500
- 700
- 800
- 1000
- 325
- 425
- 575
- 1125
- 1600
- 2025
- 2475
- 3000
- 5100
Kaise kiya (kuch): 13 × 25: 1300 → 650 → 325. 81 × 25: 8100 → 4050 → 2025. 204 × 25: 20400 → 10200 → 5100.
— 📌 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.
- 4 × 25 = ?
- 8 × 25 = ?
- 24 × 25 = ?
- 36 × 25 = ?
- 44 × 25 = ?
- 15 × 25 = ?
- 21 × 25 = ?
- 60 × 25 = ?
- 88 × 25 = ?
- 100 × 25 = ?
| 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
- 100
- 200
- 600
- 900
- 1100
- 375
- 525
- 1500
- 2200
- 2500
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. 36 × 25 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 900
- (a) galat ❌: 90 tab aata hai jab sirf ek 0 lagaya (360 → 180 → 90).
- (b) sahi ✅: 3600 → 1800 → 900. Do baar aadha.
- (c) galat ❌: 1800 sirf ek aadha hai (yeh 36 × 50 hai).
- (d) galat ❌: 3600 sirf 36 × 100 hai; aadha karna bhool gaye.
Q2. × 25 trick ke step kya hain?
Jawab aur kaaran dekho
Sahi jawab: (a) Peeche 00, phir aadha, phir aadha
- (a) sahi ✅: × 25 = × 100 ka chautha hissa: 00, aadha, aadha.
- (b) galat ❌: Peeche 0, phir aadha to × 5 ki trick hai.
- (c) galat ❌: Peeche 00 aur ek aadha × 50 ki trick hai.
- (d) galat ❌: 25 jodna guna nahi hai.
Q3. 3600 ka “aadhe ka aadha” kya hai?
Jawab aur kaaran dekho
Sahi jawab: (d) 900
- (a) galat ❌: 1800 sirf ek baar ka aadha hai.
- (b) galat ❌: 1200 3600 ke 3 barabar hisson mein se ek hai, aadhe ka aadha nahi.
- (c) galat ❌: 600 3600 ke 6 barabar hisson mein se ek hai.
- (d) sahi ✅: 3600 ka aadha 1800, 1800 ka aadha 900.
Q4. 25 ko “100 ka chautha hissa” kyun kehte hain?
Jawab aur kaaran dekho
Sahi jawab: (c) Kyunki 25 + 25 + 25 + 25 = 100
- (a) galat ❌: Digits 2 aur 5 se hissa tay nahi hota.
- (b) galat ❌: 100 − 25 = 75 sahi hai, par isse “chautha hissa” saabit nahi hota.
- (c) sahi ✅: 4 baar 25 jodne pe 100 banta hai, to 25 = 100 ke 4 barabar hisson mein se ek.
- (d) galat ❌: 25 + 100 jod hai; isse chautha hissa nahi pata chalta.
Q5. 37 × 25 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 925
- (a) galat ❌: 952 mein digits ulat-palat ho gaye; sahi 925.
- (b) sahi ✅: 3700 → 1850 → 925.
- (c) galat ❌: 1850 sirf ek aadha hai (37 × 50).
- (d) galat ❌: 3700 sirf 37 × 100.
Q6. ÷ 4 ka sabse aasaan tareeka kya hai?
Jawab aur kaaran dekho
Sahi jawab: (a) Aadha karo, phir uska aadha
- (a) sahi ✅: 4 barabar hisse = pehle 2 hisse, phir har hisse ke 2.
- (b) galat ❌: 4 ghatana baantna nahi hai.
- (c) galat ❌: 4 jodne se number bada hota hai, hisse nahi bante.
- (d) galat ❌: Ek baar aadha matlab sirf 2 hisse; humein 4 chahiye.
Q7. Ek ticket ₹25 ka. 52 ticket ka daam?
Jawab aur kaaran dekho
Sahi jawab: (d) ₹1300
- (a) galat ❌: ₹2600 sirf ek aadha hai.
- (b) galat ❌: ₹5200 sirf 52 × 100.
- (c) galat ❌: ₹77 tab aata hai jab 52 mein 25 jod diya.
- (d) sahi ✅: 5200 → 2600 → 1300. Ya 13 group × ₹100.
Q8. Ravi ne 36 × 25 ka jawab 1800 likha. Uski galti kya hai?
Jawab aur kaaran dekho
Sahi jawab: (c) Doosra aadha bhool gaya
- (a) galat ❌: 36 mein 25 jodne pe 61 aata, 1800 nahi.
- (b) galat ❌: Galti hai: sahi jawab 900 hai.
- (c) sahi ✅: 3600 ka aadha 1800, phir uska aadha 900; Ravi ek aadha bhool gaya.
- (d) galat ❌: Ek 0 lagata to 360 se shuru karke 90 aata, 1800 nahi.
Q9. 900 ko 36 × 25 ka jawab check karne ka sahi tareeka?
Jawab aur kaaran dekho
Sahi jawab: (b) 900 + 900 + 900 + 900 = 3600
- (a) galat ❌: 36 + 25 jod hai, guna ka check nahi.
- (b) sahi ✅: Chautha hissa 4 baar jodo to poora (36 × 100 = 3600) wapas aata hai.
- (c) galat ❌: 25 jodne se kuch check nahi hota.
- (d) galat ❌: Ghatana check ka tareeka nahi yahan.
Q10. 16 × 25 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 400
- (a) sahi ✅: 1600 → 800 → 400.
- (b) galat ❌: 800 sirf ek aadha.
- (c) galat ❌: 160 sirf 16 × 10.
- (d) galat ❌: 1600 sirf 16 × 100.
— 📌 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. □ × 25 = 1100. □ kya hai?
Solution dekho
× 25 ka ulta socho: jawab ko 4 baar lo (double, phir double). 1100 + 1100 = 2200, 2200 + 2200 = 4400. Yeh □ ke peeche 00 se bana, to □ = 44.
Check: 4400 → 2200 → 1100 ✅
Q2. 25 × 25 = ? (Ch 6 ka ek jhalak!)
Solution dekho
Peeche 00: 2500. Aadha: 1250 (2000 → 1000, 500 → 250). Phir aadha: 1250 = 1000 + 200 + 50 → 500 + 100 + 25 = 625.
Check: 625 + 625 = 1250, 1250 + 1250 = 2500 ✅
Q3. Ek boree 25 kg ki. Truck mein 48 boriyaan. Kul kitne kg? Kya 1000 kg se zyada?
Solution dekho
(kg = kilogram, wazan naapne ka naap.) 48 × 25: 4800 → 2400 → 1200 kg. Haan, 1200 kg, 1000 kg se 200 zyada hai.
Check: 4 boriyaan = 100 kg. 48 boriyon ke 12 group (48 → 24 → 12). 12 group × 100 kg = 1200 kg ✅
Q4. Kaunsa bada hai: 39 × 25 ya 1000?
Solution dekho
39 × 25: 3900 → 1950 → 975. To 1000 bada hai (25 zyada). Chhoti soch: 40 × 25 = 1000 (4000 → 2000 → 1000), aur 39 usse ek kam, to 39 × 25 ka jawab 1000 se 25 kam, yaani 975.
Check: 975 + 25 = 1000 ✅
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School exam (Class 6–8) | Ticket, boree, ₹25 wali cheezein: “kitne ka?” wale kahani wale sawaal (word problems). |
| Maths Olympiad | 25 aur 4 guna karke 100 banate hain: aise jode dhoondh kar guna aasaan karna. |
| NTSE / MAT | Mental calculation mein × 25 bahut aata hai. |
| SSC / Bank (aage) | Simplification aur 25 wale hisaab. |
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
Yaad rakho: 4 baar 25 = 100. Yeh ek line poore post ki jaan hai. Jab bhi 25 dikhe, socho “kitne 4 ke group?” Roz 10 sawaal, aur har baar 4 baar jod kar check! 🎟️
— 📌 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)
36 ke peeche 00: 3600. Aadha: 3600 = 3000 + 600 → 1500 + 300 = 1800. Phir aadha: 1800 = 1000 + 800 → 500 + 400 = 900 ✅
| 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. Aadhe ka aadha kyun, seedha 4 se bhaag kyun nahi?
4 se bhaag bhi wahi hai, par mann mein aadha karna sabse aasaan hai. Do baar aadha = 4 barabar hisse.
2. Taaq number pe saadhe (.5) aayega?
Nahi, agar pehle 00 lagao. 3700 → 1850 → 925, sab poore number.
3. 25 × 36 aur 36 × 25 same hain?
Haan, guna mein jagah badlo to jawab wahi (GUNA box ke dots). Dono 900.
4. Agle post mein kya hai?
Post 5.3: × 50 (peeche 00, sirf ek aadha), aur 5, 25, 50 ka mix: kaunsi trick kab.
— 📌 charumam.com
🟢 Recap: Aaj Kya Seekha
- × 25 = peeche 00 (× 100), phir aadha, phir aadha.
- Kyunki 4 baar 25 = 100, yaani 25 = 100 ka chautha hissa.
- 36 × 25: 3600 → 1800 → 900.
- Taaq number pe bhi pehle 00, phir saadhe nahi aata (37 × 25 = 925).
- ÷ 4 = aadha, phir aadha.
- Check: jawab 4 baar jodo = number ke peeche 00 wala number.
— charumam.com 🎯
👉 Aage Kya?
Ab × 50 aur teeno ka mix: Post 5.3 mein 46 × 50 = 2300, aur kaunsi trick kab lagani hai!
Koi doubt? CharuMam AI Tutor se poochho, ya comment mein likho! 💬
💛 Post Achha Laga? Like, Share, Subscribe, Follow!
Agar aaj kuch naya samajh aaya, to post ko like kijiye, apne doston aur class ke group mein share kijiye, aur roz nayi trick ke liye humein subscribe aur follow kijiye! 🙏
- 🌐 Website: charumam.com
- 🤖 AI Tutor (doubt poochho, 24×7): tutor.charumam.com
- ▶️ YouTube (subscribe): @charumamofficial
- 📸 Instagram (follow): @charumamofficial
- ✈️ Telegram: t.me/charumam
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— 📌 charumam.com
