Chapter 5 ka aakhri post! Aaj 5.1–5.3 ka mix: jodi dhoondo (25 aur 4 guna karke 100), ulte sawaal (□ dhoondo), dhokhe wale sawaal jahan trick seedhi nahi lagti, aur kuch soch wale Challenge. Har sawaal mein pehle socho, phir trick, phir check.
⏱ Before Timer: Pehle Purane Tareeke Se
Pehle seedha tareeka (left se right, jaise likha hai). 25 × 37 × 4 matlab pehle 25 × 37, phir jo aaye usko × 4.
- 25 × 37 = 37 × 25 (jagah badlo, jawab wahi). Post 5.2: 3700 → 1850 → 925.
- 925 × 4 matlab 925 ko 4 baar jodo (running total): 925, 1850, 2775, 3700.
- Jawab 3700.
Do lambe kaam. Aaj ki soch ise ek second ka bana 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
25 × 37 × 4 = 3700
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 ke tools: × 5, × 25, × 50 ki tricks (Post 5.1–5.3), aadha / double, aur GUNA box ka niyam “jagah badlo, jawab wahi”. Neeche sab boxes ek baar aur. Naye shabd:
📖 Shabd jo is post mein aayenge
- Jagah badlo (order): guna mein numbers ka kram badalne se jawab nahi badalta: 25 × 37 × 4 aur 25 × 4 × 37 same. (GUNA box ke dots.)
- Jodi dhoondo: aise do number jo guna karke 10 ya 100 banein: 25 aur 4 (25 × 4 = 100), 50 aur 2 (50 × 2 = 100), 5 aur 2 (5 × 2 = 10).
- Ulta sawaal (□): jawab diya hai, number dhoondhna hai. Trick ko ulta chalao: aadha kiya tha to double karo, 0 lagaya tha to 0 hatao.
- Double (dugna): number ko 2 baar jodna: 875 + 875 = 1750.
- Dhokha: sawaal jo 5, 25, 50 jaisa dikhe par ho nahi (jaise × 15, × 55, × 24).
- Ek ko aadha, doosre ko double: guna mein ek number aadha aur doosra double karo, jawab wahi: 48 × 25 = 24 × 50 = 12 × 100 = 1200.
📏 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
- 25 × 4 = ?
- 100 × 37 = ?
- 875 ka double = ?
Answers dekho
- 100
- 3700
- 1750 (875 + 875)
Yahi tools aaj ke har tricky sawaal ki chaabi hain!
— 📌 charumam.com
🎬 Kahani: Board Pe Teen Ajeeb Sawaal
CharuMam ne board pe likha: (1) 25 × 37 × 4, (2) □ × 25 = 875, (3) 46 × 15.
Meera ne pehla sawaal left se right karna shuru kiya: 25 × 37… 925… phir × 4… ruk gayi. 😓
CharuMam: “Pehle dekho, phir karo. 25 aur 4 dikh rahe hain? Dono guna karke 100! To jawab 3700. Doosre mein trick ulti chalao. Aur teesra? 15 hamari parivaar (5, 25, 50) ka nahi, par uske tukde ho sakte hain!” 🧩
— 📌 charumam.com
🪄 Trick Step by Step: Pehle Pehchano, Phir Jodi Dhoondo, Phir Check
💡 Is post ki ek badi baat: Tricky sawaal mein pehle poocho: “kya yeh sach mein × 5, × 25 ya × 50 hai?” Phir jodi dhoondo (25 aur 4, 50 aur 2, 5 aur 2), phir trick lagao, aur aakhir mein check karo (double / 4 baar jod).
Step 1: Dhokha check
Kis number se guna hai? 5, 25, 50 hai to trick. 15, 55, 24 jaisa ho to ruko: seedhi trick nahi, tukde karo (neeche example).
Step 2: Jodi dhoondo
25 aur 4 (guna karke 100), 50 aur 2 (guna karke 100), 5 aur 2 (guna karke 10). Mil gayi to unhe pehle guna karo, baaki ko peeche 0 / 00 lagao.
Step 3: Trick lagao
× 5: ek 0, ek aadha. × 50: do 0, ek aadha. × 25: do 0, do aadhe. Ulta sawaal (□) ho to ulta chalao: double karo, 0 hatao.
Step 4: Check karo
Aadha kiya tha to double karke wapas jao. Chautha hissa tha to 4 baar jodo.
Yaad-patra (tricky sawaal ke type)
| Type | Example | Kya karo |
|---|---|---|
| Jodi wala | 25 × 37 × 4 | 25 × 4 = 100 pehle, phir 37 ke peeche 00 = 3700 |
| Ulta (□) | □ × 25 = 875 | 875 ko double, phir double: 1750, 3500 → 0 0 hatao → 35 |
| Dhokha × 15 | 46 × 15 | 15 = 10 + 5: 460 aur 230, jodo = 690 |
| × 250 | 12 × 250 | 250 = 1000 ka chautha hissa: 12000 → 6000 → 3000 |
| Aadha-double | 48 × 25 | 24 × 50 = 12 × 100 = 1200 |
Dhokha: 46 × 15
15 hamari parivaar ka nahi (15, 10 ya 100 ka aadha ya chautha hissa nahi). Par 15 = 10 + 5. To 46 ko 15 baar = 46 ko 10 baar aur 46 ko 5 baar. 46 ko 10 baar = 460. 46 ko 5 baar = 460 ka aadha = 230. Jodo: 460 + 230 = 690. (Socho: 230 to 460 ka aadha hai, to jawab = 460 aur uska aadha.)
🆘 Atak gaye? Aise socho
- Lamba sawaal (teen number)? Pehle jodi dhoondo: 25 aur 4, 50 aur 2, 5 aur 2.
- □ wala sawaal? Trick ulti: × 25 tha to jawab ko 2 baar double karo, phir peeche ke 00 hatao.
- × 15, × 55 dikhe? Tukde karo: 15 = 10 + 5, 55 = 50 + 5.
- Check: hamesha. Ulta chalao ya seedhe tareeke se ek baar dekh lo.
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
Jagah badalna kyun theek hai? GUNA box mein dots dekhe the: 4 line × 16 dots = 16 column × 4 dots. Guna mein kram badlo, ginti wahi. Teen numbers mein bhi: 25 × 37 × 4 = 25 × 4 × 37. To 25 aur 4 ko saath la sakte hain.
25 × 4 = 100 kyun? 25 + 25 + 25 + 25 = 100 (Post 5.2 ka chitra: 100 dabbe, 4 hisse).
Ek ko aadha, doosre ko double kyun? 48 × 25 mein 48 ko 2 barabar hisson mein todo (24 + 24). 24 × 25 do baar = 24 × 50. Isliye 48 × 25 = 24 × 50 = 1200.
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: 25 × 37 × 4 = ?
Jodi: 25 × 4 = 100. Phir 100 × 37 = 3700.
✔️ Normal tareeke se check: Seedha: 25 × 37 = 925 (3700 → 1850 → 925). 925 ko 4 baar: 925, 1850, 2775, 3700 ✅
Example 2: □ × 25 = 875. □ kya hai?
× 25 mein do baar aadha hua tha, to ulta: do baar double. 875 + 875 = 1750. 1750 + 1750 = 3500. Yeh □ ke peeche 00 se bana, to □ = 35.
✔️ Normal tareeke se check: 35 × 25: 3500 → 1750 → 875 ✅
Example 3: 46 × 15 = ? (dhokha!)
15 = 10 + 5. 46 ko 10 baar = 460, 46 ko 5 baar = 230. Jodo: 460 + 230 = 690.
✔️ Normal tareeke se check: Doosra tareeka: 15 baar = 5 baar, aisa 3 baar. 46 ko 5 baar = 230. To 230 + 230 + 230 = 690 ✅
Example 4: Ek school bag ₹250 ka. 12 bag ka daam?
250 + 250 + 250 + 250 = 1000, to 250 = 1000 ka chautha hissa. Isliye × 250 = peeche 000, aadha, aadha. 12 → 12000 → 6000 → ₹3000.
✔️ Normal tareeke se check: 4 bag = ₹1000. 12 bag ke 4-4 ke group: 12 = 4 + 4 + 4, to 3 group. 3 group × ₹1000 = ₹3000 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Vedic Maths ki kitabon mein aisi soch milti hai ki numbers ko aasaan jodiyon mein dekho (jaise 25 aur 4, jo guna karke 100 banate hain). Yeh koi jaadu nahi, sirf GUNA ka niyam hai: kram badlo, jawab wahi.
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| Teen number ka guna, jisme 25 aur 4 (ya 50 aur 2) | ✅ Haan | Jodi pehle, phir peeche 00. |
| □ × 25 = jawab | ✅ Ulta chalao | Do baar double, phir 00 hatao. |
| × 15, × 55 | ⚠️ Tukde karo | 15 = 10 + 5, 55 = 50 + 5. |
| × 24 ya × 26 | ❌ Yeh parivaar nahi | Doosri tricks baad ke chapters mein. |
| × 250, × 500 | ✅ Soch wahi | 250 = 1000 ka chautha hissa, 500 = 1000 ka aadha. |
| Teacher ne column steps maange | ❌ Answer sheet pe nahi | Sheet pe steps, rough mein trick. |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: Jodi nahi dekhi, lamba raasta
Sawaal: 25 × 37 × 4
❌ Galat soch: left se right: 925, phir 925 ko 4 baar. (Jawab sahi aa sakta hai, par galti ka mauka zyada.)
✅ Sahi: 25 × 4 = 100 pehle → 3700.
Galti 2: Dhokha pe seedhi trick
Sawaal: 46 × 15
❌ Galat: “15 mein 5 hai, to peeche 0, aadha: 230.” (Yeh 46 × 5 hai!)
✅ Sahi: 460 + 230 = 690.
Galti 3: Ulte sawaal mein aadha kar diya
Sawaal: □ × 25 = 875
❌ Galat: 875 ka aadha… (ulta chalana tha, double karna tha).
✅ Sahi: 875 → 1750 → 3500 → □ = 35.
Galti 4: 0 ginti galat (× 250 pe)
Sawaal: 12 × 250
❌ Galat: 1200 → 600 → 300.
✅ Sahi: 250 = 1000 ka chautha hissa, to peeche 000: 12000 → 6000 → 3000.
🧠 Rule of thumb: Pehle dekho (dhokha? jodi?), phir trick, phir check. 25 × 4 = 100, 50 × 2 = 100, 5 × 2 = 10.
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
15 mix sawaal. Kuch mein jodi chhupi hai, kuch dhokha (× 15). Pehle dekho, phir karo. Target: 6 minute.
- 25 × 17 × 4 = ?
- 50 × 23 × 2 = ?
- 5 × 48 × 2 = ?
- 64 × 25 = ?
- 75 × 5 = ?
- 75 × 50 = ?
- 88 × 25 = ?
- 49 × 50 = ?
- 8 × 25 × 7 = ?
- 250 × 4 = ?
- 46 × 15 = ?
- 36 × 25 × 2 = ?
- 19 × 50 = ?
- 333 × 25 = ?
- 45 × 25 = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 1700
- 2300
- 480
- 1600
- 375
- 3750
- 2200
- 2450
- 1400
- 1000
- 690
- 1800
- 950
- 8325
- 1125
Kaise kiya (kuch): 8 × 25 × 7: 8 = 4 + 4, to 8 × 25 = 200 (do baar 100), phir 200 × 7 = 1400. 36 × 25 × 2: 25 × 2 = 50, phir 36 × 50 = 1800. 333 × 25: 33300 → 16650 → 8325. 45 × 25: 4500 → 2250 → 1125.
— 📌 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.
- 25 × 8 = ?
- 50 × 14 = ?
- 5 × 66 = ?
- 25 × 12 × 4 = ?
- 50 × 7 × 2 = ?
- 24 × 25 = ?
- 62 × 50 = ?
- 85 × 5 = ?
- 40 × 25 = ?
- 2 × 33 × 50 = ?
| 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
- 200
- 700
- 330
- 1200
- 700
- 600
- 3100
- 425
- 1000
- 3300
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. 25 × 37 × 4 = ?
Jawab aur kaaran dekho
Sahi jawab: (d) 3700
- (a) galat ❌: 925 sirf 25 × 37 hai; × 4 bhool gaye.
- (b) galat ❌: 370 mein ek hi 0 lagaya; 100 se guna mein do 0.
- (c) galat ❌: 37000 mein ek 0 zyada lag gaya.
- (d) sahi ✅: 25 × 4 = 100, phir 37 ke peeche 00 = 3700.
Q2. □ × 25 = 875. □ = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 35
- (a) galat ❌: 3500 = 35 × 100; peeche ke 00 hatana bhool gaye.
- (b) galat ❌: 175 sirf ek baar double karke 0 hatane se aata (875 + 875 = 1750, ek 0 hatao → 175); × 25 mein do aadhe the, to do double chahiye.
- (c) sahi ✅: 875 → 1750 → 3500, 00 hatao: 35. Check: 3500 → 1750 → 875.
- (d) galat ❌: 350 mein sirf ek 0 hataya; 3500 ke peeche ke dono 0 hataane the.
Q3. 46 × 15 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 690
- (a) galat ❌: 61 tab aata jab 46 mein 15 jod diya.
- (b) sahi ✅: 15 = 10 + 5: 460 + 230 = 690.
- (c) galat ❌: 230 to 46 × 5 hai; 15 ko 5 samajh liya.
- (d) galat ❌: 460 to 46 × 10 hai; 5 wala hissa bhool gaye.
Q4. Inme se kis sawaal mein 25 × 4 = 100 wali jodi kaam aayegi?
Jawab aur kaaran dekho
Sahi jawab: (a) 4 × 63 × 25
- (a) sahi ✅: 25 aur 4 dono guna mein hain: 100 × 63 = 6300.
- (b) galat ❌: 24 aur 4 guna karke 100 nahi banate.
- (c) galat ❌: 5 aur 4 guna karke 20 banate hain, 100 nahi.
- (d) galat ❌: Yahan 25 jud raha hai, guna nahi ho raha; jodi ka niyam sirf guna mein.
Q5. 48 × 25 kis ke barabar hai?
Jawab aur kaaran dekho
Sahi jawab: (d) 24 × 50
- (a) galat ❌: 96 × 50 mein dono double kar diye: jawab 4 guna ho gaya.
- (b) galat ❌: 24 × 25 mein sirf aadha kiya, double nahi: jawab aadha ho gaya (600).
- (c) galat ❌: 48 × 50 mein sirf double kiya: jawab double (2400).
- (d) sahi ✅: 48 ka aadha 24, 25 ka double 50: jawab wahi (1200).
Q6. 12 × 250 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 3000
- (a) galat ❌: 30000 mein ek 0 zyada.
- (b) galat ❌: 600 to 1200 ka aadha hai; 0 aur aadhe dono galat gine.
- (c) sahi ✅: 250 = 1000 ka chautha: 12000 → 6000 → 3000.
- (d) galat ❌: 300 = 12 × 25; 250 mein ek 0 aur hai.
Q7. 50 × 23 × 2 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 2300
- (a) galat ❌: 230 mein ek hi 0 lagaya.
- (b) sahi ✅: 50 × 2 = 100, phir 23 ke peeche 00 = 2300.
- (c) galat ❌: 1150 sirf 50 × 23 hai; × 2 bhool gaye.
- (d) galat ❌: 46 sirf 23 × 2 hai; 50 bhool gaye.
Q8. Kaunsa sawaal is chapter ki seedhi trick se NAHI hoga?
Jawab aur kaaran dekho
Sahi jawab: (a) 37 × 24
- (a) sahi ✅: 24 na 10 ka aadha hai, na 100 ka aadha ya chautha hissa: alag tareeka chahiye.
- (b) galat ❌: × 25: do 0, do aadhe.
- (c) galat ❌: × 50: do 0, ek aadha.
- (d) galat ❌: × 5: ek 0, ek aadha.
Q9. 4□ × 25 = 1175. □ = ?
Jawab aur kaaran dekho
Sahi jawab: (d) 7
- (a) galat ❌: 45 × 25 = 1125, 1175 nahi.
- (b) galat ❌: 43 × 25 = 1075, 1175 nahi.
- (c) galat ❌: 49 × 25 = 1225, 1175 nahi.
- (d) sahi ✅: Ulta: 1175 → 2350 → 4700, 00 hatao: 47. To □ = 7. Check: 4700 → 2350 → 1175.
Q10. Sabse tez kaunsa hai: 5 × 77 × 2 ka jawab nikaalne ka?
Jawab aur kaaran dekho
Sahi jawab: (c) 5 × 2 = 10 pehle, phir 77 ke peeche 0
- (a) galat ❌: Aadha karna galat hai: 385 ka aadha 770 nahi deta, double chahiye tha.
- (b) galat ❌: Jod guna nahi hai: 84 aata, 770 nahi.
- (c) sahi ✅: 5 × 2 = 10, to 770. Ek second!
- (d) galat ❌: Yeh bhi 770 deta hai, par lamba raasta.
— 📌 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 × 25 × 4 × 4 = ?
Solution dekho
Do jodi: 25 × 4 = 100, aur phir 25 × 4 = 100. To 100 × 100 matlab 100 ke peeche 00: 10000 (das hazaar).
Check: 25 × 25 = 625 (Post 5.2 Challenge), aur 4 × 4 = 16. 625 × 16 matlab 625 ko 16 baar: 625 ko 4 baar = 2500, aur 4 baar woh = 10000 ✅
Q2. Ek number × 5 aur wahi number × 50 ka jod 1650 hai. Number kya hai?
Solution dekho
× 50 ka jawab, × 5 ke jawab ka 10 guna hota hai (Post 5.3). Rozmarra: × 5 ka jawab = 1 dabba, × 50 ka jawab = 10 wahi dabbe, kul 11 dabbe = 1650. Ab 1650 mein 11 kitni baar? Ulta Ch 4: 1650 ka aakhri 0 hatao → 165. 165 = 1 | 6 | 5, aur beech ka 6 = 1 + 5, to 15 × 11 = 165 (Ch 4). Peeche 0 wapas: 150 × 11 = 1650. To ek dabba = 150 (= × 5 ka jawab). 150 = □ × 5 → ulta: 150 ka double 300, 0 hatao → □ = 30.
Check: 30 × 5 = 150, 30 × 50 = 1500, 150 + 1500 = 1650 ✅
Q3. Kaunsa bada: 25 × 64 ya 50 × 31?
Solution dekho
25 × 64: 6400 → 3200 → 1600. 50 × 31: 3100 → 1550. To 25 × 64 bada (50 zyada). Chhoti soch: 25 × 64 = 50 × 32 (aadha-double), aur 32, 31 se bada.
Check: 1600 − 1550 = 50 ✅
Q4. 5, 25, 50 teeno se 36 ka guna karke jodo.
Solution dekho
36 × 5 = 180 (360 ka aadha). 36 × 50 = 1800 (3600 ka aadha). 36 × 25 = 900 (3600 → 1800 → 900). Jod: 180 + 1800 = 1980, 1980 + 900 = 2880. Chhoti soch: 5 + 25 + 50 = 80. 80 = 8 ka 10 guna, to jawab bhi 10 guna: pehle 36 × 8, phir peeche 0. 36 × 8 = 288, to jawab 2880.
Check: 36 × 8: 36, 72, 108, 144, 180, 216, 252, 288 ✅ → 2880
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School exam (Class 6–8) | Teen number ka guna, ₹250 / ₹50 wale kahani wale sawaal (word problems). |
| Maths Olympiad | Jodi dhoondna (25 × 4), missing digit, “ek ko aadha, doosre ko double”. |
| NTSE / MAT | Mental calculation aur jaldi pehchaan: kaunsi trick lagegi. |
| SSC / Bank (aage) | Simplification mein 25 × 4 = 100 jaisi jodiyaan bahut kaam aati hain. |
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
Tricky sawaal mein sabse badi trick hai 2 second rukna: “Jodi hai? Dhokha hai?” Phir hisaab. Yeh 2 second aapke 20 second bachaayenge! 🧩
— 📌 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)
Jagah badlo: 25 aur 4 ko saath lao. 25 × 4 = 100 (25 + 25 + 25 + 25). Ab 100 × 37 matlab 37 ke peeche 00: 3700 ✅
| 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. Chapter 5 khatam ho gaya?
Haan! Chapter 5 ke page pe saare 4 posts ek jagah milenge. Revise karne ke liye wahin se kholo.
2. Ulta sawaal mein galti hoti hai, kya karoon?
Yaad rakho: trick mein jo kiya tha uska ulta karo. Aadha → double. 0 lagaya → 0 hatao. Phir hamesha seedha chala kar check karo.
3. × 125 bhi aisa ho sakta hai?
Haan, 125 = 1000 ka aathvaan hissa (8 barabar hisse), yaani teen baar aadha. Isse hum aage ke chapters mein dekhenge.
4. Chapter 6 mein kya hai?
Ch 6: 35 × 35 jaise number (5 pe khatam) — 35 × 35 = 1225 do second mein!
— 📌 charumam.com
🟢 Recap: Aaj Kya Seekha
- Tricky sawaal: pehle dekho (dhokha? jodi?), phir trick, phir check.
- Jodiyaan: 25 × 4 = 100, 50 × 2 = 100, 5 × 2 = 10.
- Ulta sawaal (□): double karo, 0 hatao.
- Dhokha × 15: 15 = 10 + 5, to 460 + 230 = 690.
- × 250 = peeche 000, aadha, aadha.
- Ek ko aadha, doosre ko double: jawab wahi.
— charumam.com 🎯
👉 Aage Kya?
Chapter 5 complete! 🎉 Ab Ch 6: 35 × 35 jaise number (5 pe khatam): 35 × 35 = 1225, sirf 3 × 4 aur 25 se!
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
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