Noteclerical

Missing number

Lesson 55 of 113

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

Yahi order (40 second):
1) Grid — pehle row, fail to column, phir diagonal
2) Try: sum, product, a×b ± k, a² ± b, a² + b²
3) Triangle — teen kona + beech. Beech aksar konon ka sum / product / (a+b)×c
4) Circle — opposite jodi same sum, ya A×C − B×D
5) Jo rule saari complete lines pe chale, wahi ? pe lagaao
6) Do rules dono fit hon to simpler wala + options
Galati: ek row pe rule soch ke turant tick. Doosri complete row pe verify. Fail = rule galat.

3. Grid (3×3 box)

Har row (ya column) ek mini-sawaal. Do complete rows se lock, teesri pe ?.

Basic · row sum

Q1. ? kya hai?

257
437
69?

Solution shuru

  1. Step 1 — row 1

    2 + 5 = 7. Teesra = pehle do ka sum.

  2. Step 2 — row 2

    4 + 3 = 7. Wahi rule.

  3. Step 3 — row 3

    6 + 9 = 15.

Final answer — yahan khatam15
Basic · product

Q2. ? kya hai?

236
4520
34?

Solution shuru

  1. Step 1

    2 × 3 = 6. 4 × 5 = 20. Product.

  2. Step 2

    3 × 4 = 12. Sum hota to 2+3=5 hota, 6 nahi — isliye + nahi.

Final answer — yahan khatam12
Medium · × phir −

Q3. ? kya hai?

3411
529
63?

Solution shuru

  1. Step 1 — sum/product fail

    3+4=7 ≠ 11. 3×4=12, 12−1=11.

  2. Step 2

    5×2 − 1 = 9. Lock: a×b − 1.

  3. Step 3

    6×3 − 1 = 17.

Final answer — yahan khatam17

4. Triangle

Teen kona (top, left, right) + beech ka number. Beech nikaalo, ya kabhi ek kona.

Basic · kona sum

Q4. Pehle triangle mein centre = teen konon ka sum. Doosre ka centre?

4+5+6=15

8+1+4=?

Solution shuru

  1. Step 1

    Pehla: 4+5+6=15. Centre = sum.

  2. Step 2

    8+1+4=13.

Final answer — yahan khatam13
Basic · product

Q5. Centre = teen konon ka product. Doosra centre?

2×3×4=24

2×2×5=?

Solution shuru

  1. Step 1

    2×3×4=24. Sum 9 hota — centre 24 hai, isliye product.

  2. Step 2

    2×2×5=20.

Final answer — yahan khatam20
Medium · (a+b)×c

Q6. Centre = (top + left) × right. Teesra centre?

(3+5)×2=16

(4+2)×3=18

(5+1)×4=?

Solution shuru

  1. Step 1

    Sum of three: 3+5+2=10 ≠ 16. Product 30 ≠ 16. Mix chahiye.

  2. Step 2

    (3+5)×2=16. Doosre pe (4+2)×3=18. Lock.

  3. Step 3

    (5+1)×4=24. (Sirf top×left+right = 5+4=9 — complete figures pe nahi chalta.)

Final answer — yahan khatam24

5. Circle / opposite

Chaar tukde: upar–neeche ek jodi, left–right doosri. Aksar dono jodi ka sum same.

Basic · opposite sum

Q7. Opposite numbers ka sum same. Left wala ??

Solution shuru

  1. Step 1

    Upar 8 + neeche 7 = 15.

  2. Step 2

    Right 5 + left ? = 15 → ? = 10.

Final answer — yahan khatam10

6. Square mix — a² ± b

Jab sum/product chhote pad jaayein: pehla number square, doosra add/subtract.

Medium · a² + b²

Q8. Teesra number = pehle do ke squares ka sum.

5661
4325
72?

Solution shuru

  1. Step 1

    5+6=11 ≠ 61. 5×6=30 ≠ 61. Squares: 25+36=61.

  2. Step 2

    16+9=25. Lock.

  3. Step 3

    49+4=53.

Final answer — yahan khatam53
Medium · a² − b

Q9. ? kya hai?

5322
6432
72?

Solution shuru

  1. Step 1

    5×3+7=22? Forced. Seedha: 5² − 3 = 22.

  2. Step 2

    6² − 4 = 32. Lock: a² − b.

  3. Step 3

    7² − 2 = 47.

Final answer — yahan khatam47
Pro · A×C − B×D

Q10. Clockwise A, B, C, D. Centre = A×C − B×D. Doosra centre?

5×4 − 2×3 = 14

7×4 − 3×2 =?

Solution shuru

  1. Step 1

    Opposite product: 5×4=20, 2×3=6. 20−6=14. Centre match.

  2. Step 2

    7×4=28, 3×2=6. 28−6=22.

  3. 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.

Final answer — yahan khatam22

7. Pro checklist

  1. Do complete units pe rule, teesri pe apply.
  2. Row fail → column. Triangle: sum, product, phir (a+b)×c.
  3. Circle: opposite sum, phir opposite product minus.
  4. Bada teesra number (61, 53) → squares socho.
  5. Ek cell unused reh jaaye to rule kamzor.
  6. 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.

Basic

Practice 1. ? kya hai?

145
268
35?

Solution shuru

  1. Step 1

    1+4=5, 2+6=8, 3+5=8.

Final answer — yahan khatam8
Basic

Practice 2. Rows pe sum nahi chalta. Column try karo.

294
538
712?

Solution shuru

  1. Step 1 — row fail

    2+9=11 ≠ 4. Product 18 ≠ 4.

  2. Step 2 — column

    2+5=7, 9+3=12. Teesra column: 4+8=12.

Final answer — yahan khatam12
Medium

Practice 3. Har row ka sum same.

276
951
43?

Solution shuru

  1. Step 1

    2+7+6=15. 9+5+1=15.

  2. Step 2

    4+3+?=15 → ?=8.

Final answer — yahan khatam8
Basic

Practice 4. Centre = konon ka sum. Doosra centre?

Solution shuru

  1. Step 1

    9+6+3=18. 5+7+2=14.

Final answer — yahan khatam14
Basic

Practice 5. Centre = product. Doosra centre?

Solution shuru

  1. Step 1

    2×4×3=24. 5×2×2=20.

Final answer — yahan khatam20
Basic

Practice 6. Opposite sum same. Left ??

Solution shuru

  1. Step 1

    12+4=16. 9+?=16 → 7.

Final answer — yahan khatam7
Medium

Practice 7. Har row: andar = left² + right.

5227
6137
43?

Solution shuru

  1. Step 1

    5² + 2 = 27. 6² + 1 = 37.

  2. Step 2

    4² + 3 = 19.

Final answer — yahan khatam19
Medium

Practice 8. Teesra = a×b + b.

328
4315
52?

Solution shuru

  1. Step 1

    3×2 + 2 = 8. (3²=9, chalta nahi — extra cell use ho raha hai.)

  2. Step 2

    4×3 + 3 = 15. Lock.

  3. Step 3

    5×2 + 2 = 12.

Final answer — yahan khatam12
Medium

Practice 9. Chaar numbers: teen ka sum = chautha. Teesri figure ka ??

23611
45110
723?

Solution shuru

  1. Step 1

    2+3+6=11. 4+5+1=10.

  2. Step 2

    7+2+3=12.

Final answer — yahan khatam12
Pro

Practice 10. Centre = (top − left) × right.

(8−3)×2=10

(7−2)×4=?

Solution shuru

  1. Step 1

    Sum 8+3+2=13 ≠ 10. Product 48 ≠ 10. (8−3)×2=10.

  2. Step 2

    (7−2)×4=20.

Final answer — yahan khatam20

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.

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