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CLASS 5 · MATHS MELA · CHAPTER 6

The Dairy Farm

Build flexible multiplication strategies, calculate large products and solve dairy, composting, money and array problems.

193 worked answersAll 8 exercise sets

What you will learn

  • Use place value and the distributive property to multiply.
  • Choose doubling, halving, compensation or written multiplication.
  • Check products with patterns and estimates.
Read the NCERT questions ↗← All chapters

193 worked answers · short steps first, explanations when you need them

Let Us Think

Textbook pages 70–71

Question 1

Find values from the six shape multiplication statements, using numbers 1–24.

Steps only

One consistent choice is rectangle=3 and circle=4, so triangle=12 and outlined shape=9.

Choose parallelogram=6 and diamond=2, so 6×2=12; diamond×pentagon=diamond gives pentagon=1; crescent=6×4=24.

Answer

One valid assignment is rectangle 3, circle 4, triangle 12, outlined shape 9, parallelogram 6, diamond 2, pentagon 1 and crescent 24.

Question 2

Place 2, 5 and 3 as a two-digit number times a one-digit number to get closest to 100.

Steps only

Check the promising arrangements: 53×2=106 and 23×5=115.

106 is only 6 away from 100.

Answer

53×2=106, the closest possible.

Question 3

List rectangular arrangements containing 60 pouches.

Steps only

Factor pairs of 60 are 1×60, 2×30, 3×20, 4×15, 5×12 and 6×10.

Answer

Possible arrangements: 1×60, 2×30, 3×20, 4×15, 5×12 and 6×10, in either order.

Question 4

Use the printed number clues to identify candidates.

Steps only

Multiples of 9 below 50 are 9,18,27,36,45; the odd ones not divisible by 4 or 11 are 9,27,45.

The additional statements “odd number” and “ones digit even” cannot both describe one whole number.

Answer

The consistent first group gives 9, 27 or 45; if all eight lines are intended for one number, there is no solution because an odd number cannot have an even ones digit.

Question 5 · 0–20

Use two grid numbers and one operation to make 0–20. Which need more than two distinct entries?

Steps only

Examples: 1=5−4, 2=10÷5, 3=36÷12, 4=100÷25, 5=25÷5, 6=2×3, 7=5+2, 8=10−2, 9=12−3, 10=5×2.

11=36−25, 12=10+2, 13=25−12, 14=10+4, 15=25−10, 16=12+4, 17=12+5, 18=36÷2 and 20=100÷5.

Answer

With two distinct grid entries, 1–18 except 19 and also 20 are possible; 0 and 19 need a repeated entry or three numbers.

Question 5 · three numbers

Show ways to make the missing 0 and 19 using three numbers.

Steps only

0=5−3−2.

19=25−4−2.

Answer

0=5−3−2 and 19=25−4−2.

Order and Place Value in Multiplication

Textbook pages 72–74

Question Order 1

Find 3×2.

Steps only

3×2=6.

Answer

6.

Question Order 2

Find 2×3.

Steps only

2×3=6.

Answer

6.

Question Order 3

Find 8×5.

Steps only

8×5=40.

Answer

40.

Question Order 4

Find 5×8.

Steps only

5×8=40.

Answer

40.

Question Order 5

Find 10×5.

Steps only

10×5=50.

Answer

50.

Question Order 6

Find 5×10.

Steps only

5×10=50.

Answer

50.

Question Order 7

Find 8×20.

Steps only

8×20=160.

Answer

160.

Question Order 8

Find 20×8.

Steps only

20×8=160.

Answer

160.

Question Order 9

Find 12×9.

Steps only

12×9=108.

Answer

108.

Question Order 10

Find 9×12.

Steps only

9×12=108.

Answer

108.

Question Order 11

Find 6×13.

Steps only

6×13=78.

Answer

78.

Question Order 12

Find 13×6.

Steps only

13×6=78.

Answer

78.

Question Order 13

Find 9×0.

Steps only

9×0=0.

Answer

0.

Question Order 14

Find 0×9.

Steps only

0×9=0.

Answer

0.

Question 1(a)

Find 4×10.

Steps only

4×10=40.

Answer

40.

Question 1(b)

Find 20×10.

Steps only

20×10=200.

Answer

200.

Question 1(c)

Find 10×40.

Steps only

10×40=400.

Answer

400.

Question 1(d)

Find 10×10.

Steps only

10×10=100.

Answer

100.

Question 1(e)

Find 20×50.

Steps only

20×50=1000.

Answer

1000.

Question 1(f)

Find 80×10.

Steps only

80×10=800.

Answer

800.

Question 1(g)

Find 3×100.

Steps only

3×100=300.

Answer

300.

Question 1(h)

Find 8×100.

Steps only

8×100=800.

Answer

800.

Question 1(i)

Find 10×100.

Steps only

10×100=1000.

Answer

1000.

Question 2(a)

Find 100×90.

Steps only

100×90=9,000.

Answer

9,000.

Question 2(b)

Find 400×10.

Steps only

400×10=4,000.

Answer

4,000.

Question 2(c)

Find 60×50.

Steps only

60×50=3,000.

Answer

3,000.

Question 2(d)

Find 30×20.

Steps only

30×20=600.

Answer

600.

Question 2(e)

Find 700×4.

Steps only

700×4=2,800.

Answer

2,800.

Question 2(f)

Find 10×45.

Steps only

10×45=450.

Answer

450.

Question Table 1

Find 700×8.

Steps only

700×8=5,600.

Answer

5,600.

Question Table 2

Find 80×90.

Steps only

80×90=7,200.

Answer

7,200.

Question Table 3

Find 220×20.

Steps only

220×20=4,400.

Answer

4,400.

Question Table 4

Find 10×63.

Steps only

10×63=630.

Answer

630.

Question Table 5

Find 11×300.

Steps only

11×300=3,300.

Answer

3,300.

Question Table 6

Find 40×12.

Steps only

40×12=480.

Answer

480.

Question Thousands 1

Find 20×100.

Steps only

20×100=2,000.

Answer

2,000.

Question Thousands 2

Find 40×500.

Steps only

40×500=20,000.

Answer

20,000.

Question Thousands 3

Find 60×300.

Steps only

60×300=18,000.

Answer

18,000.

Question Thousands 4

Find 600×30.

Steps only

600×30=18,000.

Answer

18,000.

Question Thousands 5

Find 80×900.

Steps only

80×900=72,000.

Answer

72,000.

Question Thousands 6

Find 70×600.

Steps only

70×600=42,000.

Answer

42,000.

Question Thousands 7

Find 3×5,000.

Steps only

3×5,000=15,000.

Answer

15,000.

Question Thousands 8

Find 8×3,000.

Steps only

8×3,000=24,000.

Answer

24,000.

Question Thousands 9

Find 5×7,000.

Steps only

5×7,000=35,000.

Answer

35,000.

Question 18×5

Explain several correct ways to find 18×5.

Steps only

Split: 10×5+8×5=50+40=90.

Compensate: 20×5−2×5=100−10=90.

Double and halve: 9×10=90.

Answer

18×5=90.

Doubling, Halving and Nearest Multiples

Textbook pages 75–76

Question 3(a)

Find 3×18.

Steps only

3×18=54.

Answer

54.

Question 3(b)

Find 22×5.

Steps only

22×5=110.

Answer

110.

Question 3(c1)

Find 14×3.

Steps only

14×3=42.

Answer

42.

Question 3(c2)

Find 38×5.

Steps only

38×5=190.

Answer

190.

Question 3(c3)

Find 16×4.

Steps only

16×4=64.

Answer

64.

Question 3(c4)

Find 35×14.

Steps only

35×14=490.

Answer

490.

Question d1

Find 5×18.

Steps only

5×18=90.

Answer

90.

Question d2

Find 50×28.

Steps only

50×28=1,400.

Answer

1,400.

Question d3

Find 15×22.

Steps only

15×22=330.

Answer

330.

Question d4

Find 25×12.

Steps only

25×12=300.

Answer

300.

Question d5

Find 12×45.

Steps only

12×45=540.

Answer

540.

Question d6

Find 16×45.

Steps only

16×45=720.

Answer

720.

Question e

Give five products suited to doubling and halving.

Steps only

6×15=3×30=90; 14×25=7×50=350; 16×35=8×70=560; 24×5=12×10=120; 18×50=9×100=900.

Answer

Examples: 6×15=90, 14×25=350, 16×35=560, 24×5=120, 18×50=900.

Question Nearest 1

Use a nearby multiple to find 4×19.

Steps only

4×20−4=80−4.

Answer

76.

Question Nearest 2

Use a nearby multiple to find 14×21.

Steps only

14×20+14=280+14.

Answer

294.

Question Nearest examples

Give five products that are easy using a nearby round factor.

Steps only

6×19=120−6=114; 8×31=240+8=248; 12×49=600−12=588; 25×39=1,000−25=975; 14×101=1,400+14=1,414.

Answer

The five products are 114, 248, 588, 975 and 1,414.

Question d(1)

Find 7×52.

Steps only

7×52=364.

Answer

364.

Question d(2)

Find 12×28.

Steps only

12×28=336.

Answer

336.

Question d(3)

Find 75×31.

Steps only

75×31=2,325.

Answer

2,325.

Question d(4)

Find 99×15.

Steps only

99×15=1,485.

Answer

1,485.

Question d(5)

Find 8×25.

Steps only

8×25=200.

Answer

200.

Question d(6)

Find 22×42.

Steps only

22×42=924.

Answer

924.

Problems, Waste and Composting

Textbook pages 77–78

Question 1

An auditorium has 35 rows of 42 seats.

Steps only

35×42=35×40+35×2=1,400+70.

Answer

1,470 people.

Question 2

Priya jogs 4 km daily for 31 days.

Steps only

4×31=124.

Answer

124 km.

Question 3

There are 36 boxes with 48 books each.

Steps only

36×48=36×(50−2)=1,800−72.

Answer

1,728 books.

Question 4

Four kurtas use 16 m of cloth. Find cloth for eight.

Steps only

Eight is twice four, so 16×2=32.

Answer

32 m.

Question 5

Twenty-nine cows give 5 L each.

Steps only

29×5=145.

Answer

145 L per day.

Question 6

Each of 297 cows needs 18 kg fodder.

Steps only

297×18=297×(20−2)=5,940−594.

Answer

5,346 kg per day.

Question Waste 1

A family produces 35 kg kitchen waste monthly. Find one year.

Steps only

35×12=35×10+35×2=350+70.

Answer

420 kg.

Question Waste methods

Why do Nida, Kanti and John all get 35×12=420?

Steps only

Each method includes 30×10, 30×2, 5×10 and 5×2, either separately or grouped.

Answer

They reorganise the same four partial products, so all total 420.

Question Waste 2

The family makes 150 kg compost worth ₹24 per kg. Find savings.

Steps only

150×24=150×20+150×4=3,000+600.

Answer

₹3,600.

Let Us Multiply

Textbook pages 79–80

Question Example (a)

Find 32×8.

Steps only

32×8=256.

Answer

256.

Question Example (b)

Find 69×45.

Steps only

69×45=3,105.

Answer

3,105.

Question 1(a)

Find 78×4.

Steps only

78×4=312.

Answer

312.

Question 1(b)

Find 83×9.

Steps only

83×9=747.

Answer

747.

Question 1(c)

Find 67×28.

Steps only

67×28=1,876.

Answer

1,876.

Question 1(d)

Find 53×37.

Steps only

53×37=1,961.

Answer

1,961.

Question 2(a)

Find 94×5.

Steps only

94×5=470.

Answer

470.

Question 2(b)

Find 49×6.

Steps only

49×6=294.

Answer

294.

Question 2(c)

Find 37×53.

Steps only

37×53=1,961.

Answer

1,961.

Question 3(a)

Find 86×3.

Steps only

86×3=258.

Answer

258.

Question 3(b)

Find 72×7.

Steps only

72×7=504.

Answer

504.

Question 3(c)

Find 94×36.

Steps only

94×36=3,384.

Answer

3,384.

Question 3(d)

Find 28×79.

Steps only

28×79=2,212.

Answer

2,212.

Question 3(e)

Find 66×22.

Steps only

66×22=1,452.

Answer

1,452.

Question 4(a)

A theatre has 8 rows of 12 seats. Half fill, then 3 more rows fill.

Steps only

Total seats=8×12=96; half=48.

Three rows add 3×12=36; 48+36=84.

Answer

84 people.

Question 4(b)

India hits twenty-four 4s and eighteen 6s, runs 234, and gets 23 extras. Find the total.

Steps only

Boundary fours=24×4=96; sixes=18×6=108.

96+108+234+23=461.

Answer

96 runs in fours, 108 in sixes, and 461 runs in total.

Question 4(c)

Find the cost of 15 bulbs at ₹25 and 12 tube lights at ₹34.

Steps only

15×25=375; 12×34=408.

375+408=783.

Answer

₹783.

Question 4(d)

Find earnings from 28 rice bags at ₹350 each.

Steps only

28×350=9,800.

Answer

₹9,800.

Question 4(e)

A library has 86 shelves with 162 books each.

Steps only

162×86=162×80+162×6=12,960+972.

Answer

13,932 books.

Dairy Cooperative and Large Products

Textbook pages 81–84

Question 1

At least 4 cows each for 268 villagers. Find the minimum.

Steps only

268×4=1,072.

Answer

1,072 cows.

Question 2

Each of 453 Gir cows gives 13 L. Find daily milk.

Steps only

453×13=453×10+453×3=4,530+1,359.

Answer

5,889 L per day.

Question 3

Sell 125 kg ghee at ₹574 per kg.

Steps only

574×125=574×100+574×20+574×5.

57,400+11,480+2,870=71,750.

Answer

₹71,750.

Question 1(a)

Find 548×6.

Steps only

548×6=3,288.

Answer

3,288.

Question 1(b)

Find 682×3.

Steps only

682×3=2,046.

Answer

2,046.

Question 1(c)

Find 324×18.

Steps only

324×18=5,832.

Answer

5,832.

Question 1(d)

Find 507×23.

Steps only

507×23=11,661.

Answer

11,661.

Question 1(e)

Find 190×65.

Steps only

190×65=12,350.

Answer

12,350.

Question 2(a)

Find 123×84.

Steps only

123×84=10,332.

Answer

10,332.

Question 2(b)

Find 368×32.

Steps only

368×32=11,776.

Answer

11,776.

Question 2(c)

Find 159×324.

Steps only

159×324=51,516.

Answer

51,516.

Question 2(d)

Find 239×401.

Steps only

239×401=95,839.

Answer

95,839.

Question 2(e)

Find 592×5.

Steps only

592×5=2,960.

Answer

2,960.

Question 2(f)

Find 101×22.

Steps only

101×22=2,222.

Answer

2,222.

Question 3(a)

Find 807×5.

Steps only

807×5=4,035.

Answer

4,035.

Question 3(b)

Find 143×28.

Steps only

143×28=4,004.

Answer

4,004.

Question 3(c)

Find 309×9.

Steps only

309×9=2,781.

Answer

2,781.

Question 3(d)

Find 450×38.

Steps only

450×38=17,100.

Answer

17,100.

Question 3(e)

Find 584×23.

Steps only

584×23=13,432.

Answer

13,432.

Question 3(f)

Find 302×13.

Steps only

302×13=3,926.

Answer

3,926.

Question 3(g)

Find 604×54.

Steps only

604×54=32,616.

Answer

32,616.

Question 3(h)

Find 112×23.

Steps only

112×23=2,576.

Answer

2,576.

Question 3(i)

Find 237×19.

Steps only

237×19=4,503.

Answer

4,503.

Check and Find Equivalent Products

Textbook pages 85–87

Question Check (a)

Check Asma’s 46×59 solution.

Steps only

46×59=46×(60−1)=2,760−46=2,714.

Answer

Correct: 2,714.

Question Check (b)

Check Pankaj’s 203×54=135.

Steps only

203×54=203×50+203×4=10,150+812.

Answer

Incorrect; the product is 10,962.

Question Check (c)

Check Lado’s 38×150=5,700.

Steps only

38×150=38×(100+50)=3,800+1,900.

Answer

Correct: 5,700.

Question Check (d)

Check Kira’s 193×272=40,337.

Steps only

193×272=193×200+193×70+193×2.

38,600+13,510+386=52,496.

Answer

Incorrect; the product is 52,496.

Question Check (e)

How should a column multiplication solution be checked?

Steps only

Recalculate by expansion, then estimate the size.

For example, hundreds times hundreds should produce a five-digit scale when appropriate.

Answer

Every partial row must represent ones, tens or hundreds correctly; add them and compare with an estimate.

Question Same · 12×17

Which listed expressions equal 12×17?

Steps only

Use distribution or compensation without full multiplication.

Answer

6×34.

Question Same · 26×11

Which listed expressions equal 26×11?

Steps only

Use distribution or compensation without full multiplication.

Answer

26×10+26×1 and 20×11+6×11.

Question Same · 18×4

Which listed expressions equal 18×4?

Steps only

Use distribution or compensation without full multiplication.

Answer

9×8 and 20×4−8.

Question Same · 55×9

Which listed expressions equal 55×9?

Steps only

Use distribution or compensation without full multiplication.

Answer

50×9+5×9 and 55×10−55.

Question Same · 101×42

Which listed expressions equal 101×42?

Steps only

Use distribution or compensation without full multiplication.

Answer

100×42+42.

Question Same · 247×8

Which listed expressions equal 247×8?

Steps only

Use distribution or compensation without full multiplication.

Answer

250×8−24.

Question Same · 1,001×5

Which listed expressions equal 1,001×5?

Steps only

Use distribution or compensation without full multiplication.

Answer

1,000×5+5.

Question Same · 1,999×2

Which listed expressions equal 1,999×2?

Steps only

Use distribution or compensation without full multiplication.

Answer

2,000×2−2.

Question 2(a)

Find 16×25.

Steps only

16×25=400.

Answer

400.

Question 2(b)

Find 12×125.

Steps only

12×125=1,500.

Answer

1,500.

Question 2(c)

Find 24×250.

Steps only

24×250=6,000.

Answer

6,000.

Question 2(d)

Find 36×25.

Steps only

36×25=900.

Answer

900.

Question 2(e)

Find 28×75.

Steps only

28×75=2,100.

Answer

2,100.

Question 2(f)

Find 300×15.

Steps only

300×15=4,500.

Answer

4,500.

Question 2(g)

Find 50×78.

Steps only

50×78=3,900.

Answer

3,900.

Question 2(h)

Find 199×63.

Steps only

199×63=12,537.

Answer

12,537.

Question 2(i)

Find 128×35.

Steps only

128×35=4,480.

Answer

4,480.

Question 3

Give five products with an easy strategy.

Steps only

32×25=8×100=800; 48×50=24×100=2,400; 99×37=3,700−37=3,663; 125×16=1,000×2=2,000; 75×12=75×(3×4)=900.

Answer

Examples: 800, 2,400, 3,663, 2,000 and 900.

Question 4(a)

Find 17×23.

Steps only

17×23=391.

Answer

391.

Question 4(b)

Find 17×24.

Steps only

17×24=408.

Answer

408.

Question 4(c)

Find 17×22.

Steps only

17×22=374.

Answer

374.

Question 4(d)

Find 16×23.

Steps only

16×23=368.

Answer

368.

Question 4(e)

Find 8×9.

Steps only

8×9=72.

Answer

72.

Question 4(f)

Find 18×9.

Steps only

18×9=162.

Answer

162.

Question 4(g)

Find 28×9.

Steps only

28×9=252.

Answer

252.

Question 4(h)

Find 108×9.

Steps only

108×9=972.

Answer

972.

Question 4(i)

Find 18×23.

Steps only

18×23=414.

Answer

414.

Question Neighbour explanation

What is added to move from 17×23 to 17×24 or 18×23?

Steps only

Increasing 24 from 23 adds one group of 17.

Increasing 17 to 18 adds one group of 23.

Answer

Add 17 for 17×24; add 23 for 18×23.

Patterns, Estimation and Let Us Solve

Textbook pages 87–91

Question Box puzzles

How are the coloured-box multiplication puzzles solved?

Steps only

Start at the ones column and test digits 0–9.

Carry to the next column, and keep equal colours equal within that problem.

Retain every assignment that matches all shown result digits.

Answer

Some diagrams have more than one answer; the valid values are exactly those that satisfy every column and repeated-colour condition.

Question Estimate 1

Match 25×31 to the closest listed estimate.

Steps only

Round one or both factors to nearby friendly numbers.

Answer

750.

Question Estimate 2

Match 132×19 to the closest listed estimate.

Steps only

Round one or both factors to nearby friendly numbers.

Answer

2,600.

Question Estimate 3

Match 101×11 to the closest listed estimate.

Steps only

Round one or both factors to nearby friendly numbers.

Answer

1,000.

Question Estimate 4

Match 248×49 to the closest listed estimate.

Steps only

Round one or both factors to nearby friendly numbers.

Answer

12,500.

Question Estimate 5

Match 12×25 to the closest listed estimate.

Steps only

Round one or both factors to nearby friendly numbers.

Answer

300.

Question King 1

Start with 5 coins and double daily for 7 days.

Steps only

5×2⁷=5×128.

Answer

640 coins.

Question King 2

Start with 3 coins and triple daily for 7 days.

Steps only

3×3⁷=3×2,187.

Answer

6,561 coins.

Question King 3

Start with 1 coin and multiply by 5 daily for 7 days.

Steps only

1×5⁷=78,125.

Answer

78,125 coins; Choice 3 is greatest.

Question Pattern a1

Find 16×22.

Steps only

16×22=352.

Answer

352.

Question Pattern a2

Find 32×44.

Steps only

32×44=1,408.

Answer

1,408.

Question Pattern b1

Find 6×16.

Steps only

6×16=96.

Answer

96.

Question Pattern b2

Find 24×16.

Steps only

24×16=384.

Answer

384.

Question Pattern b3

Find 24×64.

Steps only

24×64=1,536.

Answer

1,536.

Question Pattern b4

Find 12×16.

Steps only

12×16=192.

Answer

192.

Question Square 1

Find 1,111×1,111.

Steps only

1,111×1,111=1,234,321.

Answer

1,234,321.

Question Square 2

Find 45×45.

Steps only

45×45=2,025.

Answer

2,025.

Question Square 3

Find 55×55.

Steps only

55×55=3,025.

Answer

3,025.

Question Eleven 1

Find 11×54.

Steps only

11×54=594.

Answer

594.

Question Eleven 2

Find 11×82.

Steps only

11×82=902.

Answer

902.

Question Nines

Find 1,234×9+4.

Steps only

1,234×9+4=11,110.

Answer

11,110.

Question Adjacent pairs

Find the smallest and largest adjacent products in the displayed number grid.

Steps only

The smallest adjacent pair is 13 and 11: 13×11=143.

The largest adjacent pair is 75 and 62: 75×62=4,650.

Answer

Smallest 143; largest 4,650.

Question Final 1

Mala buys 18 books at 3 for ₹150 and has ₹20 left. Find starting money.

Steps only

18÷3=6 packs; 6×150=900.

900+20=920.

Answer

₹920.

Question Final 2(a)

Find club income from 57 tickets at ₹115 and 3 team fees of ₹1,599.

Steps only

57×115=6,555; 3×1,599=4,797.

6,555+4,797=11,352.

Answer

₹11,352.

Question Final 2(b)

Find ground and food expenses ₹1,750 and ₹1,129.

Steps only

1,750+1,129=2,879.

Answer

₹2,879.

Question Final 3(a)

Ananya has 12 rows ahead and 17 behind. Count all rows including hers.

Steps only

12+1+17=30.

Answer

30 rows.

Question Final 3(b)

There are 18 students right and 22 left of Ananya. Count her row.

Steps only

18+1+22=41.

Answer

41 students.

Question Final 3(c)

Find total students from 30 rows of 41.

Steps only

30×41=1,230.

Answer

1,230 students.

Question Final 4(a)

Find 67×78.

Steps only

67×78=5,226.

Answer

5,226.

Question Final 4(b)

Find 34×56.

Steps only

34×56=1,904.

Answer

1,904.

Question Final 4(c)

Find 45×263.

Steps only

45×263=11,835.

Answer

11,835.

Question Final 4(d)

Find 86×542.

Steps only

86×542=46,612.

Answer

46,612.

Question Final 4(e)

Find 432×107.

Steps only

432×107=46,224.

Answer

46,224.

Question Final 4(f)

Find 310×120.

Steps only

310×120=37,200.

Answer

37,200.

Question Final 5

Given 67×67=4,489, find 67×68.

Steps only

Add one more group of 67: 4,489+67=4,556.

Answer

4,556.

Question Final 6

Given 99×100=9,900, find 99×99.

Steps only

Subtract one group of 99: 9,900−99=9,801.

Answer

9,801.

Questions follow NCERT’s Maths Mela, Chapter 6 ↗, checked on 2026-10-05. Use our original question summaries and worked answers alongside the questions in your textbook.

Diagrams are drawn from mathematical rules. Learnivelle is not affiliated with NCERT.

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