Ab tak humne do numbers jode. Par dukaan ka bill, cricket ke overs ka score ya hafte ka kharch, inme bahut saare numbers ek saath jodne padte hain. Aaj seekhenge lambi column ko tez aur bina galti jodna.
⏱ Before Timer: Pehle Purane Tareeke Se
Pehle school wala tareeka (column method) yaad kar lein. Isme numbers ek ke neeche ek likhte hain: ikai (sabse right wala digit) ke neeche ikai, dahai (uske left wala digit) ke neeche dahai. Phir right se jodna shuru karte hain. Ek chhota example, 28 + 15:
- Ikai: 8 + 5 = 13. Neeche sirf 3 likho. 13 mein jo “10” hai, woh “1” ban kar left wali dahai mein chala jaata hai. Ise “haath ka 1” ya carry kehte hain.
- Dahai: 2 + 1 + 1 (haath ka) = 4. Neeche 4 likho.
- Jawab: 43.
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
45 + 28 + 55 + 72 + 19 = 219
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
Post 1.1 mein “10 ke dost” aur “100 ke dost” seekhe the, aur Post 2.2 mein running total. Aaj dono saath aayenge. Shabd:
📖 Shabd jo is post mein aayenge
- Column ya list: bahut saare numbers jo ek ke neeche ek likhe hon, jaise bill mein.
- Bill: dukaan ki parchi jisme har cheez ka daam likha hota hai, aur neeche sabka jod (total).
- Dost jodi: do numbers jinka jod round ho, jaise 10, 100, 200. Jaise 48 aur 52 (jod 100), ya 23 aur 17 (jod 40).
- Tick (✓) lagaana: jo number jod liya, uske aage chhota sa ✓ nishaan. Isse koi number chhootta nahi aur do baar nahi judta.
- Running total: jodte-jodte “abhi tak ka jod” (Post 2.2).
- Kram (order): numbers kis line mein jode gaye: pehle kaun, baad mein kaun.
- Group karna: kuch numbers ko saath rakh kar pehle unka jod nikaalna.
📏 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.
🔁 Chhota sa warm-up
- 45 + 55 = ?
- 28 + 72 = ?
- 3 + 7 = ?
Answers dekho
- 100
- 100
- 10
Teeno sahi? Aapne abhi-abhi teen dost jodiyaan pakdi! Koi galat hua to Post 1.1 ke “dost” wala hissa dekh lo.
— 📌 charumam.com
🎬 Kahani: Dadi Ji Aur Sabzi Mandi
Tanvi Dadi ji ke saath sabzi mandi gayi. Tamatar ₹23, aloo ₹48, pyaaz ₹17, gobhi ₹36, matar ₹52.
Sabziwale bhaiya parchi pe ek-ek karke jod rahe the: “23 aur 48, 71… 71 aur 17…” Tab tak Dadi ji ne paise nikaal kar de diye: “₹176, beta.” 😄
Tanvi hairaan: “Dadi, aapne itni jaldi kaise?”
Dadi ji: “Main list mein jodiyaan dhoondhti hoon. 48 aur 52, poore 100. 23 aur 17, poore 40. 100 aur 40, 140. Phir bachi gobhi 36, to 176. Kram se jodna zaroori nahi, beta. Jo aasaan ho, pehle jodo!”
— 📌 charumam.com
🪄 Trick Step by Step: Dost Dhoondho, Tick Lagao, Running Total Rakho
💡 Is post ki ek badi baat: Lambi list mein pehle dost jodiyaan dhoondho (jinka jod 10, 100 jaisa round ho), unhe jodo aur tick lagao. Baaki numbers ko running total mein milao. Kram badalne se total nahi badalta, isliye jo jodi aasaan ho, pehle jodo.
Step 1: Poori list ek baar dekho aur dost dhoondho
List: 23, 48, 17, 36, 52. Aisi jodi dhoondho jinke ikai digit milkar 10 banein: 3 aur 7 (23 aur 17), 8 aur 2 (48 aur 52). Inka jod round aayega.
Step 2: Dost jodiyaan jodo aur tick lagao
48 + 52 = 100 ✓. 23 + 17 = 40 ✓. (Dahai bhi dekho: 23 + 17 mein 20 + 10 = 30 aur ikai ka 10, kul 40.)
Step 3: Bache numbers running total mein milao
Running total: 100 + 40 = 140. Bacha 36 (abhi tick nahi hai): 140 + 36 = 176 ✓. Ab saare numbers pe tick hai, to kaam poora.
Step 4: Doosre tareeke se check karo
Saari dahai pehle (left se): 20 + 40 + 10 + 30 + 50 = 150 (15 dahai = 1 saikda + 5 dahai). Saari ikai: 3 + 8 + 7 + 6 + 2 = 26. Milao: 150 + 26 = 176 ✅ Dono tareekon se same jawab!
Jab koi dost na dikhe: column-wise left se
List: 34, 27, 41, 18. Ikai 4, 7, 1, 8 mein koi jodi 10 nahi banati. Koi baat nahi! Post 2.1 wali soch lagao:
- Saari dahai pehle: 30 + 20 + 40 + 10 = 100 (10 dahai = 1 saikda)
- Saari ikai: 4 + 7 + 1 + 8 = 20
- Milao: 100 + 20 = 120
3-digit bill bhi aise hi
₹125 + ₹249 + ₹375 + ₹151. Dost jodiyaan, running total ke saath (Post 2.2 jaisa):
- 125 + 375: saikde 100 + 300 = 400, dahai 20 + 70 = 90, to 400 + 90 = 490; ikai 5 + 5 = 10, to 490 + 10 = 500 (49 dahai + 1 dahai = 50 dahai = 5 saikde).
- 249 + 151: saikde 200 + 100 = 300, dahai 40 + 50 = 90, to 390; ikai 9 + 1 = 10, to 390 + 10 = 400 (39 dahai + 1 dahai = 40 dahai = 4 saikde).
Kul 500 + 400 = ₹900.
3-digit jodi round sau pe kab aati hai? Jab ikai milkar 10 banein aur dahai milkar 90. Ikai ka 10 ek dahai ban kar 90 mein judta hai, aur 90 + 10 = 100, yaani ek poora saikda. (Ek aur tareeka: dono ikai 0 hon aur dahai milkar 100 banein, jaise 150 + 250.)
🆘 Atak gaye? Aise socho
- Dost nahi dikh raha? Column-wise jodo: pehle saari dahai, phir saari ikai, phir milao.
- Bhool jaate ho kaunsa jod liya? Har number pe tick lagao. Mann mein ho to ungli rakhte jaao.
- List bahut lambi hai (10+ numbers)? 4-5 numbers ke tukde karo, har tukde ka jod copy pe likho, phir un jodon ko jodo.
- Dost ki pehchaan: ikai digit 1 aur 9, 2 aur 8, 3 aur 7, 4 aur 6, ya 5 aur 5 hon to jod ki ikai 0 hogi.
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
Kram badalne se total kyun nahi badalta? Socho jeb mein ₹23, ₹48, ₹17, ₹36 aur ₹52 ke alag-alag lifaafe hain. Lifaafe kisi bhi kram mein kholo, kul paise wahi rahenge. Yeh jod ka niyam hai: kram (order) badlo ya group badlo, total wahi rehta hai. Isliye hum aasaan jodiyaan pehle chun sakte hain.
Dost jodiyaan madad kyun karti hain? Jab do numbers ki ikai milkar 10 banati hai, to jod ki ikai 0 ho jaati hai. 23 + 17 = 40, 48 + 52 = 100. Round numbers ko aage jodna sabse aasaan hai (Post 1.1), aur beech mein carry ki ulajhan kam ho jaati hai.
Tick kyun? Dimaag ek saath bas thode-se numbers hi yaad rakh paata hai. Lambi list mein sabse aam galti jodne ki nahi, number chhootne ya do baar judne ki hoti hai. Tick yeh kaam dimaag se le kar kaagaz ko de deta hai.
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: Dadi ji ki sabzi: 23 + 48 + 17 + 36 + 52 = ?
Dost: 48 + 52 = 100 ✓, 23 + 17 = 40 ✓. Running total: 140. Phir 140 + 36 = 176 ✓.
✔️ Normal tareeke se check: Column (right se): ikai 3 + 8 + 7 + 6 + 2 = 26, yaani 2 dahai aur 6 ikai. 6 likho aur 2 carry (lambe column mein carry 1 se bada bhi ho sakta hai). Dahai 2 + 4 + 1 + 3 + 5 + 2 (carry) = 17. Jawab 176 ✅
Example 2: 64 + 19 + 36 + 81 + 7 = ?
Dost: 64 + 36 = 100 ✓, 19 + 81 = 100 ✓. Running total 200. Bacha 7: 200 + 7 = 207 ✓.
✔️ Normal tareeke se check: Column: ikai 4 + 9 + 6 + 1 + 7 = 27, 7 likho, 2 carry. Dahai 6 + 1 + 3 + 8 + 2 (carry) = 20. Jawab 207 ✅
Example 3: 34 + 27 + 41 + 18 = ? (koi dost nahi)
Saari dahai: 30 + 20 + 40 + 10 = 100. Saari ikai: 4 + 7 + 1 + 8 = 20. Milao: 120.
✔️ Normal tareeke se check: Column: ikai 4 + 7 + 1 + 8 = 20, 0 likho, 2 carry. Dahai 3 + 2 + 4 + 1 + 2 (carry) = 12. Jawab 120 ✅
Example 4: Stationery bill: ₹125 + ₹249 + ₹375 + ₹151 = ?
Dost 125 + 375: saikde 100 + 300 = 400, dahai 20 + 70 = 90, to 400 + 90 = 490; ikai 5 + 5 = 10, to 490 + 10 = 500 (49 dahai + 1 dahai = 50 dahai = 5 saikde) ✓.
Dost 249 + 151: saikde 200 + 100 = 300, dahai 40 + 50 = 90, to 390; ikai 9 + 1 = 10, to 390 + 10 = 400 (39 dahai + 1 dahai = 40 dahai = 4 saikde) ✓.
Kul 500 + 400 = ₹900.
✔️ Normal tareeke se check: Column: ikai 5 + 9 + 5 + 1 = 20, 0 likho, 2 carry. Dahai 2 + 4 + 7 + 5 + 2 = 20, 0 likho, 2 carry. Saikda 1 + 2 + 3 + 1 + 2 = 9. Jawab 900 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Is trick ke liye Vedic Maths ka koi alag sutra nahi hai. Dost jodiyaan dhoondhna aur running total rakhna ek general mental-maths method hai jo jod ke “kram badlo, total wahi” niyam pe chalta hai.
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| Bill ya list jisme 4 se 8 numbers hon | ✅ Haan | Dost jodiyaan aksar mil jaati hain, aur running total aasaan rehta hai. |
| List mein saaf dost dikh rahe hon (45 aur 55) | ✅ Pehle unhe jodo | Turant round numbers milte hain. |
| Koi dost na dikhe | ✅ Column-wise left se | Saari dahai, phir saari ikai. |
| Bahut lambi list (15-20 numbers) | ⚠️ Tukdon mein | 4-5 ke group, har group ka jod likho. |
| Rupaye aur paise saath (₹12.50, matlab 12 rupaye 50 paise) | ⚠️ Rupaye aur paise alag | Pehle rupaye jodo, phir paise, phir milao. Jaise ₹12.50 + ₹7.50: rupaye 12 + 7 = 19, paise 50 + 50 = 100 paise = 1 rupaya, to kul ₹20. (Point wale numbers, yaani decimal, ki detail aage ke chapters mein.) |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: Number chhoot gaya
List: 23, 48, 17, 36, 52
❌ Galat: “48 + 52 = 100, 23 + 17 = 40, kul 140.” (36 bhool gaye!)
✅ Sahi: tick lagaate to dikhta ki 36 pe tick nahi hai. 140 + 36 = 176.
Galti 2: Ek number do baar jod diya
List: 64, 19, 36, 81, 7
❌ Galat: “64 + 36 = 100, 19 + 81 = 100, phir 36 aur 7… kul 243.” (36 pehle hi jod chuke the.)
✅ Sahi: jodi wale numbers pe turant tick. Bacha sirf 7: 200 + 7 = 207.
Galti 3: Ikai ke dost ko poora 100 maan liya
Jodi: 23 + 17
❌ Galat: “3 aur 7 dost hain, to jod 100.”
✅ Sahi: sirf ikai ka jod 10 hai. Dahai bhi jodo: 20 + 10 = 30, phir 30 + 10 = 40. Dost ka matlab hai “round jod”, hamesha 100 nahi.
🧠 Rule of thumb: Dost dhoondho, tick lagao, koi number na chhoote!
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
Timer lagao. Har list mein pehle dost dhoondho, phir running total. Target: 5 minute.
- 12 + 18 + 25 = ?
- 34 + 16 + 40 = ?
- 27 + 33 + 19 = ?
- 45 + 25 + 30 = ?
- 11 + 29 + 37 + 23 = ?
- 46 + 54 + 18 = ?
- 38 + 17 + 62 + 23 = ?
- 15 + 25 + 35 + 45 = ?
- 64 + 19 + 36 + 81 = ?
- 72 + 28 + 49 + 51 = ?
- 125 + 175 + 230 = ?
- 99 + 47 + 1 + 53 = ?
- 33 + 44 + 56 + 67 = ?
- 18 + 27 + 36 + 45 + 54 = ?
- 150 + 250 + 325 + 175 = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 55
- 90
- 79
- 100
- 100
- 118
- 140
- 120
- 200
- 200
- 530
- 200
- 200
- 180
- 900
Do sawaal step by step:
- Q11. 125 + 175 + 230: dost 125 + 175: saikde 100 + 100 = 200, dahai 20 + 70 = 90, to 290; ikai 5 + 5 = 10, to 290 + 10 = 300 (29 dahai + 1 dahai = 30 dahai = 3 saikde). Phir 300 + 230 = 530.
- Q15. 150 + 250 + 325 + 175: dost 150 + 250: ikai dono 0, saikde 100 + 200 = 300, dahai 50 + 50 = 100 (10 dahai = 1 saikda), to 300 + 100 = 400. Dost 325 + 175: saikde 300 + 100 = 400, dahai 20 + 70 = 90, to 490; ikai 5 + 5 = 10, to 490 + 10 = 500. Kul 400 + 500 = 900.
— 📌 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.
- 7 + 3 + 6 = ?
- 8 + 5 + 2 = ?
- 4 + 9 + 6 + 1 = ?
- 20 + 35 + 80 = ?
- 15 + 15 + 15 = ?
- 25 + 50 + 75 = ?
- 60 + 40 + 33 = ?
- 18 + 2 + 30 = ?
- 45 + 55 + 10 = ?
- 11 + 22 + 33 = ?
| 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
- 16
- 15
- 20
- 135
- 45
- 150
- 133
- 50
- 110
- 66
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. Lambi list mein “dost jodi” kya hoti hai?
Jawab aur kaaran dekho
Sahi jawab: (c) Do numbers jinka jod round ho (jaise 10, 100)
- (a) galat ❌: Pehla-aakhri number dost hon, zaroori nahi.
- (b) galat ❌: Same numbers (jaise 23 aur 23) ka jod 46, round nahi.
- (c) sahi ✅: Jaise 48 aur 52 (100). Round jod aage jodna aasaan banata hai.
- (d) galat ❌: Bade numbers ka jod round ho, zaroori nahi.
Q2. List 23, 48, 17, 36, 52 mein 48 ka dost kaun hai?
Jawab aur kaaran dekho
Sahi jawab: (b) 52
- (a) galat ❌: 48 + 23 = 71, round nahi.
- (b) sahi ✅: 48 + 52 = 100. Ikai 8 aur 2 milkar 10.
- (c) galat ❌: 48 + 17 = 65, round nahi.
- (d) galat ❌: 48 + 36 = 84, round nahi.
Q3. 45 + 28 + 55 + 72 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 200
- (a) sahi ✅: 45 + 55 = 100, 28 + 72 = 100, kul 200.
- (b) galat ❌: 190 mein 10 kam ho gaye.
- (c) galat ❌: 210 mein 10 zyada ho gaye.
- (d) galat ❌: 100 sirf ek jodi ka jod hai, doosri bhool gaye.
Q4. List jodte waqt tick (✓) kyun lagaate hain?
Jawab aur kaaran dekho
Sahi jawab: (d) Taaki koi number chhoote nahi ya do baar na jude
- (a) galat ❌: Sundarta maqsad nahi, sahi jawab maqsad hai.
- (b) galat ❌: Tick aapki apni madad ke liye hai.
- (c) galat ❌: Tick se jawab nahi badalta, bas galti bachti hai.
- (d) sahi ✅: Lambi list ki sabse aam galti chhootna ya do baar jodna hai. Tick usse bachata hai.
Q5. Numbers ka kram badal kar jodne se total pe kya asar padta hai?
Jawab aur kaaran dekho
Sahi jawab: (c) Total wahi rehta hai
- (a) galat ❌: Chhote-bade sab numbers pe yahi niyam hai.
- (b) galat ❌: Kitne bhi numbers hon, kram se total nahi badalta.
- (c) sahi ✅: Jaise lifaafe kisi bhi kram mein kholo, kul paise wahi rehte hain.
- (d) galat ❌: Jod mein kram se total kabhi nahi badalta.
Q6. 34 + 27 + 41 + 18 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 120
- (a) galat ❌: 130 mein 10 zyada ho gaye.
- (b) sahi ✅: Dahai 100, ikai 20, kul 120.
- (c) galat ❌: 110 mein ikai ka 20 ki jagah 10 joda.
- (d) galat ❌: 102 mein ikai ka 20 ki jagah 2 likha.
Q7. 125 + 249 + 375 + 151 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 900
- (a) sahi ✅: 125 + 375 = 500, 249 + 151 = 400, kul 900.
- (b) galat ❌: 800 mein 100 kam ho gaye.
- (c) galat ❌: 890 mein 10 kam ho gaye.
- (d) galat ❌: 1000 mein 100 zyada ho gaye.
Q8. 23 + 17 mein ikai 3 + 7 = 10 hai. Poora jod kitna hai?
Jawab aur kaaran dekho
Sahi jawab: (d) 40
- (a) galat ❌: Sirf ikai ka jod 10 hai. Poora jod 100 nahi.
- (b) galat ❌: 30 mein ikai ka 10 bhool gaye.
- (c) galat ❌: 10 to sirf ikai ka jod hai.
- (d) sahi ✅: Dahai 20 + 10 = 30, aur ikai ka 10 milkar 40.
Q9. Lambi list ka jawab check karne ka achha tareeka kya hai?
Jawab aur kaaran dekho
Sahi jawab: (c) Doosre kram ya doosre tareeke se dobara jodo
- (a) galat ❌: Andaaza bhi achha check hai, use chhodna nahi chahiye.
- (b) galat ❌: Lambi list mein galti ka chance zyada hai, check zaroori hai.
- (c) sahi ✅: Doosre tareeke se same jawab aaye to bharosa pakka. Galti dobara repeat nahi hoti.
- (d) galat ❌: Same tareeke se dobara karne pe wahi galti dobara ho sakti hai.
Q10. Bahut lambi list (20 numbers) ho to kya karein?
Jawab aur kaaran dekho
Sahi jawab: (b) 4-5 ke group banao, har group ka jod likho, phir unhe jodo
- (a) galat ❌: Bill mein exact jawab chahiye, sirf andaaza nahi.
- (b) sahi ✅: Chhote tukde aasaan hain aur har tukde ka jod check bhi ho sakta hai.
- (c) galat ❌: 20 numbers ek saath mann mein rakhna bahut mushkil, galti pakki.
- (d) galat ❌: Chhote numbers chhodne se jawab galat ho jaayega.
— 📌 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 + 15 + 25 + 35 + 45 + 55 + 65 + 75 + 85 + 95 = ?
Solution dekho
Dost jodiyaan: 5 + 95, 15 + 85, 25 + 75, 35 + 65, 45 + 55. Har jodi 100! Paanch jodiyaan, to 100 + 100 + 100 + 100 + 100 = 500.
Check: dahai 0, 10, 20, 30, 40, 50, 60, 70, 80, 90. Inke bhi dost: 10 + 90, 20 + 80, 30 + 70, 40 + 60, har jodi 100, to 400. Bacha 50 (aur 0): 400 + 50 = 450. Ikai: har number mein 5, aur 10 numbers, to 10 × 5 = 50 (5 ko 10 baar jodna). Kul 450 + 50 = 500 ✅
Q2. Bill ka total ₹250 hai. Items: ₹48, ₹67, ₹52, aur ek item ka daam mit gaya. Mita hua daam kya tha?
Solution dekho
Jo dikh rahe hain: 48 + 52 = 100, phir 100 + 67 = 167. Mita hua daam = 250 − 167. Aage gin kar karo: 167 + 3 = 170, 170 + 30 = 200, 200 + 50 = 250. Kul chale 3 + 30 + 50 = ₹83.
Check: 48 + 67 + 52 + 83: 48 + 52 = 100, 67 + 83 = 150, kul 250 ✅
Q3. Olympiad style (magic square): neeche wale 3 × 3 grid (3 line, har line mein 3 dabbe) mein har leti line (row), har khada column aur dono tirchhi line (diagonal, kone se kone tak) ka jod same hai. Jaise pehla khada column: 2 + 9 + 4, aur ek tirchhi line: 2 + 5 + 8.
| 2 | 7 | 6 |
| 9 | 5 | 1 |
| 4 | 3 | 8 |
Solution dekho
Pehli row: 2 + 7 + 6 = 15. Doosri: 9 + 5 + 1 = 15. Teesri: 4 + 3 + 8 = 15. Khade column: 2 + 9 + 4 = 15, 7 + 5 + 3 = 15, 6 + 1 + 8 = 15. Tirchhi line: 2 + 5 + 8 = 15, aur doosri 6 + 5 + 4 = 15. Har line ka jod 15. Teen rows milkar saare 9 numbers: 15 + 15 + 15 = 45.
Check dost jodiyon se: numbers 1 se 9 hain. Jodiyaan 1 aur 9, 2 aur 8, 3 aur 7, 4 aur 6: har jodi 10, to 10 + 10 + 10 + 10 = 40. Bacha 5: 40 + 5 = 45 ✅
Q4. Hafte ka jeb-kharch: Somvaar ₹38, Mangal ₹45, Budh ₹62, Guru ₹55, Shukra ₹17, Shani ₹83, Ravi ₹0. Kul kitna?
Solution dekho
Dost: 38 + 62 = 100 ✓, 45 + 55 = 100 ✓, 17 + 83 = 100 ✓. Ravivaar 0. Kul ₹300.
Check: dahai 30 + 40 + 60 + 50 + 10 + 80 = 270 (27 dahai = 2 saikde + 7 dahai = 270), ikai 8 + 5 + 2 + 5 + 7 + 3 = 30, kul 270 + 30 = 300 ✅
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School exam (Class 6–8) | Bill, data handling (jaankari ko table aur graph mein dikhana, jaise tally aur bar graph ke total), aur average (ausat) ke sawaalon mein lambi list jodni padti hai. |
| Maths Olympiad | Magic square, “1 se 9 ka jod” aur pattern wale jod (Challenge Q1 aur Q3) bahut aam hain. |
| NTSE | Number grid aur missing number puzzles mein dost jodiyaan time bachaati hain. |
| SSC / Bank (aage chal ke) | Table aur chart ke data ka total nikaalna roz ka sawaal hai. Dost dhoondhna yahan bahut kaam aata hai. |
Shabdon ka matlab: Olympiad = school ke bachchon ki maths pratiyogita (competition). NTSE = Class 10 ke bachchon ka ek national scholarship (vazifa) exam. SSC / Bank exam = badon ke sarkari naukri ke exam. Tally = ginti karne ke liye khadi lakeerein (|||); har 5 pe ek group banta hai, phir groups gin kar total. Average (ausat) = “barabar baantne pe har ek ke hisse kitna”. Jaise 4 aur 6 ka average 5: dono ko jodo (10) aur barabar 2 hisse karo. Data handling = jaankari (numbers) ko table ya graph mein rakhna aur samajhna. Class 6–8 = school ki chhathi se aathvi kaksha.
— 📌 charumam.com
👩🏫 Charu Mam Ka Tip
Bachcho, agli baar jab mummy-papa ke saath kirana ya sabzi lene jaao, to bill aane se pehle mann mein total lagao: dost dhoondho, phir running total. Phir bill se milaao. Agar dukaan wale bhaiya se pehle jawab bol diya, to samajh lo aap Dadi ji jaise champion ban gaye! 🛒😄
— 📌 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)
Dost dhoondho: 45 + 55 = 100 ✓, 28 + 72 = 100 ✓. Bacha 19. Running total: 100 + 100 = 200, phir 200 + 19 = 219 ✅
| 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 hamesha dost jodiyaan milti hain?
Nahi. Jab na milein to column-wise jodo: pehle saari dahai, phir saari ikai. Dono tareeke sahi hain.
2. Dost sirf 10 aur 100 ke hote hain?
Nahi! Koi bhi jodi jinka jod round ho: 23 + 17 = 40, 125 + 375 = 500. Round jod jitna aasaan, utna achha.
3. Exam mein tick laga sakte hain?
Rough work mein bilkul. Aur jab sawaal mein list chhapi ho, to halka-sa pencil tick laga sakte ho.
4. Agar list mein 3-digit aur 2-digit dono numbers hon?
Koi baat nahi. Dost wahi dhoondho jo aasaan dikhein, ya column-wise jodo: pehle saikde, phir dahai, phir ikai.
5. Andaaza kaise lagaayein lambi list ka?
Har number ko sabse paas ke 10 tak round off karke jodo. 23, 48, 17, 36, 52 → 20 + 50 + 20 + 40 + 50 = 180. Kitna door chalega? Round off mein har number zyada se zyada 5 badalta hai, to N numbers ki list mein andaaza asli se zyada se zyada 5 × N door ho sakta hai. 5 numbers: 5 × 5 = 25. Asli jawab 176, andaaze se sirf 4 door (25 se kam), to theek lagta hai ✅. 25 se zyada door ho to pakka galti, dobara jodo. (Andaaza sirf ilaaka batata hai; exact ke liye running total dobara gino.)
6. Kya cricket score bhi aise jod sakte hain?
Haan! Har over ke run ek lambi list hain. Over ke run jodo aur commentator se pehle total bolo. 🏏
— 📌 charumam.com
🟢 Recap: Aaj Kya Seekha
- Lambi list: dost dhoondho → jodo aur tick → baaki running total mein.
- Dost = do numbers jinka jod round ho (ikai milkar 10): 48 + 52, 23 + 17.
- Kram ya group badlo, total wahi rehta hai. Isliye aasaan jodi pehle.
- Koi dost nahi? Pehle saari dahai, phir saari ikai.
- Lambi list ki sabse badi galti: number chhootna ya do baar judna. Tick lagao!
- Check: doosre tareeke ya doosre kram se dobara jodo.
— charumam.com 🎯
👉 Aage Kya?
Ab tak ke saare tareeke ek saath! Agle post mein Addition Ke Tricky Sawaal: 1 se 100 tak ka jod 10 second mein, missing digit puzzles, aur 9 + 99 + 999 ki paheli.
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
- 💬 WhatsApp Channel: Charu Mam WhatsApp Channel
— 📌 charumam.com
