1. Ye topic hai kya?
Paper ek figure deta hai — 3×3 box, triangle, circle ke tukde — ek jagah ?. Wahi number nikaalo jo baaki cells ke rule se fit ho.
Number series se farq
Series: 4, 9, 19, ?, 79 — ek line, agla/beech. Yeh page figure ka ? hai. Line wala Number Series pe hai.
Figure series se farq
Shapes/mirror mein picture agla/odd. Yahan picture ke andar numbers hain, shape nahi badalti.
2. Paper pe dimag kaise chale
1) Grid — pehle row, fail to column, phir diagonal
2) Try: sum, product,
a×b ± k, a² ± b, a² + b²3) Triangle — teen kona + beech. Beech aksar konon ka sum / product /
(a+b)×c4) Circle — opposite jodi same sum, ya A×C − B×D
5) Jo rule saari complete lines pe chale, wahi
? pe lagaao6) Do rules dono fit hon to simpler wala + options
3. Grid (3×3 box)
Har row (ya column) ek mini-sawaal. Do complete rows se lock, teesri pe ?.
Q1. ? kya hai?
| 2 | 5 | 7 |
| 4 | 3 | 7 |
| 6 | 9 | ? |
Solution shuru
- Step 1 — row 1
2 + 5 = 7. Teesra = pehle do ka sum.
- Step 2 — row 2
4 + 3 = 7. Wahi rule.
- Step 3 — row 3
6 + 9 = 15.
Q2. ? kya hai?
| 2 | 3 | 6 |
| 4 | 5 | 20 |
| 3 | 4 | ? |
Solution shuru
- Step 1
2 × 3 = 6. 4 × 5 = 20. Product.
- Step 2
3 × 4 = 12. Sum hota to 2+3=5 hota, 6 nahi — isliye + nahi.
Q3. ? kya hai?
| 3 | 4 | 11 |
| 5 | 2 | 9 |
| 6 | 3 | ? |
Solution shuru
- Step 1 — sum/product fail
3+4=7 ≠ 11. 3×4=12, 12−1=11.
- Step 2
5×2 − 1 = 9. Lock:
a×b − 1. - Step 3
6×3 − 1 = 17.
4. Triangle
Teen kona (top, left, right) + beech ka number. Beech nikaalo, ya kabhi ek kona.
Q4. Pehle triangle mein centre = teen konon ka sum. Doosre ka centre?
4+5+6=15
8+1+4=?
Solution shuru
- Step 1
Pehla: 4+5+6=15. Centre = sum.
- Step 2
8+1+4=13.
Q5. Centre = teen konon ka product. Doosra centre?
2×3×4=24
2×2×5=?
Solution shuru
- Step 1
2×3×4=24. Sum 9 hota — centre 24 hai, isliye product.
- Step 2
2×2×5=20.
Q6. Centre = (top + left) × right. Teesra centre?
(3+5)×2=16
(4+2)×3=18
(5+1)×4=?
Solution shuru
- Step 1
Sum of three: 3+5+2=10 ≠ 16. Product 30 ≠ 16. Mix chahiye.
- Step 2
(3+5)×2=16. Doosre pe (4+2)×3=18. Lock.
- Step 3
(5+1)×4=24. (Sirf top×left+right = 5+4=9 — complete figures pe nahi chalta.)
5. Circle / opposite
Chaar tukde: upar–neeche ek jodi, left–right doosri. Aksar dono jodi ka sum same.
Q7. Opposite numbers ka sum same. Left wala ??
Solution shuru
- Step 1
Upar 8 + neeche 7 = 15.
- Step 2
Right 5 + left ? = 15 → ? = 10.
6. Square mix — a² ± b
Jab sum/product chhote pad jaayein: pehla number square, doosra add/subtract.
Q8. Teesra number = pehle do ke squares ka sum.
| 5 | 6 | 61 |
| 4 | 3 | 25 |
| 7 | 2 | ? |
Solution shuru
- Step 1
5+6=11 ≠ 61. 5×6=30 ≠ 61. Squares: 25+36=61.
- Step 2
16+9=25. Lock.
- Step 3
49+4=53.
Q9. ? kya hai?
| 5 | 3 | 22 |
| 6 | 4 | 32 |
| 7 | 2 | ? |
Solution shuru
- Step 1
5×3+7=22? Forced. Seedha: 5² − 3 = 22.
- Step 2
6² − 4 = 32. Lock:
a² − b. - Step 3
7² − 2 = 47.
Q10. Clockwise A, B, C, D. Centre = A×C − B×D. Doosra centre?
5×4 − 2×3 = 14
7×4 − 3×2 =?
Solution shuru
- Step 1
Opposite product: 5×4=20, 2×3=6. 20−6=14. Centre match.
- Step 2
7×4=28, 3×2=6. 28−6=22.
- Step 3 — sum to nahi
5+2+4+3=14 coincidentally pehle figure pe. Doosre 7+3+4+2=16 ≠ koi obvious centre — isliye sum nahi, product-difference hai.
7. Pro checklist
- Do complete units pe rule, teesri pe apply.
- Row fail → column. Triangle: sum, product, phir (a+b)×c.
- Circle: opposite sum, phir opposite product minus.
- Bada teesra number (61, 53) → squares socho.
- Ek cell unused reh jaaye to rule kamzor.
- Line series (
2, 6, 12, ?) is page ka kaam nahi — Number Series pe jaao.
8. Practice
Pehle khud socho, phir neeche solution kholo. Q1–Q10 yahan nahi dohraaye.
Practice 1. ? kya hai?
| 1 | 4 | 5 |
| 2 | 6 | 8 |
| 3 | 5 | ? |
Solution shuru
- Step 1
1+4=5, 2+6=8, 3+5=8.
Practice 2. Rows pe sum nahi chalta. Column try karo.
| 2 | 9 | 4 |
| 5 | 3 | 8 |
| 7 | 12 | ? |
Solution shuru
- Step 1 — row fail
2+9=11 ≠ 4. Product 18 ≠ 4.
- Step 2 — column
2+5=7, 9+3=12. Teesra column: 4+8=12.
Practice 3. Har row ka sum same.
| 2 | 7 | 6 |
| 9 | 5 | 1 |
| 4 | 3 | ? |
Solution shuru
- Step 1
2+7+6=15. 9+5+1=15.
- Step 2
4+3+?=15 → ?=8.
Practice 4. Centre = konon ka sum. Doosra centre?
Solution shuru
- Step 1
9+6+3=18. 5+7+2=14.
Practice 5. Centre = product. Doosra centre?
Solution shuru
- Step 1
2×4×3=24. 5×2×2=20.
Practice 6. Opposite sum same. Left ??
Solution shuru
- Step 1
12+4=16. 9+?=16 → 7.
Practice 7. Har row: andar = left² + right.
| 5 | 2 | 27 |
| 6 | 1 | 37 |
| 4 | 3 | ? |
Solution shuru
- Step 1
5² + 2 = 27. 6² + 1 = 37.
- Step 2
4² + 3 = 19.
Practice 8. Teesra = a×b + b.
| 3 | 2 | 8 |
| 4 | 3 | 15 |
| 5 | 2 | ? |
Solution shuru
- Step 1
3×2 + 2 = 8. (3²=9, chalta nahi — extra cell use ho raha hai.)
- Step 2
4×3 + 3 = 15. Lock.
- Step 3
5×2 + 2 = 12.
Practice 9. Chaar numbers: teen ka sum = chautha. Teesri figure ka ??
| 2 | 3 | 6 | 11 |
| 4 | 5 | 1 | 10 |
| 7 | 2 | 3 | ? |
Solution shuru
- Step 1
2+3+6=11. 4+5+1=10.
- Step 2
7+2+3=12.
Practice 10. Centre = (top − left) × right.
(8−3)×2=10
(7−2)×4=?
Solution shuru
- Step 1
Sum 8+3+2=13 ≠ 10. Product 48 ≠ 10. (8−3)×2=10.
- Step 2
(7−2)×4=20.
9. Itna kaafi hai kya?
Agar grid pe row/column lock, triangle pe sum-product-mix, circle pe opposite, aur bade numbers pe squares chala sako, to JA/CA-II ke figure-missing sawaal basic se pro tak attempt ho sakte hain.
Agle topic: Blood relations.
