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NCERT Solutions for Class 5 Maths Chapter 13 Animal Jumps (PDF) – 2027

aBy aglasem · Updated

NCERT Solutions for Class 5 Maths Chapter 13 Animal Jumps – step-by-step answers to every exercise and in-text question of the chapter, as per the latest NCERT syllabus for 2027. Read them online or download the free question-answer PDF.

Chapter 13 of Math Mela turns skip counting into a game of jumps. A rabbit jumps 4 at a time, a frog jumps 3, a spider jumps 3, a grasshopper jumps 6 — and Mowgli hops along a forest trail to meet his friends. From these jumps the chapter builds four big ideas: factors, multiples, common factors and common multiples.

NCERT Solutions for Class 5 Maths Chapter 13 Animal Jumps PDF

All the answers are on this page below. The PDF also explains every answer – why it is right and how to check it – so download it for revision.

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Solutions PDF (English medium)Animal JumpsView PDF
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NCERT Solutions for Class 5 Maths Chapter 13 Animal Jumps – Questions and Answers

All 72 questions of the chapter (textbook pages 164 – 170) are answered below, in the order of the book – in-text questions, activities and the end-of-chapter exercises. Each answer is written the way you would write it in the exam.

Find the Hidden Numbers — Page 164The multiplying box; factors, multiples and arrays

Find the hidden numbers
Q1

Numbers put in this box get multiplied by a number and come out. The numbers coming out are 28, 36, 48 and 72.

28364872
Page 164 — the numbers coming out of the box: 28, 36, 48 and 72.
(a) Can you guess the multiplier if you see the 4 numbers coming out of the box?
Answer

The multiplier can be 1, 2 or 4.

Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
In all four lists: 1, 2, 4
Q2(b) Is there more than one possible multiplier?
Answer

Yes. There are three possible multipliers: 1, 2 and 4.

MultiplierDoes it divide 28, 36, 48 and 72 exactly?
1Yes — 1 divides every number
2Yes — all four numbers are even
4Yes — 28 = 4 × 7, 36 = 4 × 9, 48 = 4 × 12, 72 = 4 × 18
3No — 28 ÷ 3 leaves 1 over
6No — 28 ÷ 6 leaves 4 over
Q3(c) What numbers might have been put inside the box?
Answer

If the multiplier is 4, the numbers put in were 7, 9, 12 and 18. The other possible multipliers give other sets:

If the multiplier is…Then the numbers put in were…Working
47, 9, 12, 1828 ÷ 4 = 7, 36 ÷ 4 = 9, 48 ÷ 4 = 12, 72 ÷ 4 = 18
214, 18, 24, 3628 ÷ 2 = 14, 36 ÷ 2 = 18, 48 ÷ 2 = 24, 72 ÷ 2 = 36
128, 36, 48, 72Nothing changes when you multiply by 1
Q4Share your thoughts in the class. You can also play this game with your friends.
Answer

The box must be multiplying by 4. All four numbers that came out — 28, 36, 48 and 72 — can be split into equal groups of 4 with nothing left over. So the numbers that went in were 7, 9, 12 and 18. A multiplier of 2 also works, and even 1 works, but 1 would mean the box changed nothing.

Q5A number, when arranged in an array, shows the factors of that number. Are there other numbers that are factors of 15? Try to make other arrays for the number 15.
Answer

Yes. Besides 3 and 5, the numbers 1 and 15 are also factors of 15. So 15 has four factors in all: 1, 3, 5 and 15.

3 × 5 = 155 × 3 = 15
Two rectangles for 15. Both use 15 counters — one is the other turned round.
1 × 15 = 15
A third rectangle: one single row of 15. This one gives the factors 1 and 15.
Q6Let us make arrays for the number 12. (The book shows 3 × 4 = 12, 2 × 6 = 12 and 1 × 12 = 12.) Which numbers are the factors of 12?
Answer

The factors of 12 are 1, 2, 3, 4, 6 and 12 — six factors in all.

3 × 4 = 122 × 6 = 12
Two of the rectangles the book draws for 12.
1 × 12 = 12
The third rectangle: one long row of 12.
1 × 12 = 12 → 1 and 12
2 × 6 = 12 → 2 and 6
3 × 4 = 12 → 3 and 4

Factors of 12 = 1, 2, 3, 4, 6, 12

Why 12 is a Multiple — Page 1651, 2, 3, 4, 6 and 12 are all factors of 12

Q11, 2, 3, 4, 6, and 12 are all factors of 12. Each of the numbers can divide 12 completely. 12 is a multiple of these numbers. Do you see why 12 is a multiple of 1, 2, 3, 4, 6, and 12?
Answer

Yes. 12 is a multiple of each of them because each one divides 12 exactly, with nothing left over.

Jump sizeJumps needed to reach 12MultiplicationDivision
112 jumps1 × 12 = 1212 ÷ 1 = 12
26 jumps2 × 6 = 1212 ÷ 2 = 6
34 jumps3 × 4 = 1212 ÷ 3 = 4
43 jumps4 × 3 = 1212 ÷ 4 = 3
62 jumps6 × 2 = 1212 ÷ 6 = 2
121 jump12 × 1 = 1212 ÷ 12 = 1
Q2Fill in the blanks: 2 × ____ = 12, 3 × ____ = 12, 12 × ____ = 12, 1 × ____ = 12
Answer

Here are the four answers.

2 × 6 = 12
3 × 4 = 12
12 × 1 = 12
1 × 12 = 12

Let Us Do — Page 165Make different arrays for the following numbers. Identify the factors in each case.

Let Us Do
Q1(a) 10
Answer

Factors of 10: 1, 2, 5, 10. That is 4 factors in all.

2 × 5 = 101 × 10 = 10
Arrays for 10. Each rectangle gives a pair of factors.
1 × 10 = 10 → factors 1 and 10
2 × 5 = 10 → factors 2 and 5

All the factors of 10 = 1, 2, 5, 10
Q2(b) 14
Answer

Factors of 14: 1, 2, 7, 14. That is 4 factors in all.

2 × 7 = 141 × 14 = 14
Arrays for 14. Each rectangle gives a pair of factors.
1 × 14 = 14 → factors 1 and 14
2 × 7 = 14 → factors 2 and 7

All the factors of 14 = 1, 2, 7, 14
Q3(c) 13
Answer

Factors of 13: 1, 13. That is 2 factors in all.

1 × 13 = 13
Only one rectangle is possible for 13 — a single row.
1 × 13 = 13 → factors 1 and 13

All the factors of 13 = 1, 13
Q4(d) 20
Answer

Factors of 20: 1, 2, 4, 5, 10, 20. That is 6 factors in all.

4 × 5 = 202 × 10 = 20
Arrays for 20. Each rectangle gives a pair of factors.
1 × 20 = 20 → factors 1 and 20
2 × 10 = 20 → factors 2 and 10
4 × 5 = 20 → factors 4 and 5

All the factors of 20 = 1, 2, 4, 5, 10, 20
Q5(e) 25
Answer

Factors of 25: 1, 5, 25. That is 3 factors in all.

5 × 5 = 25
25 counters make a perfect square: 5 rows of 5.
1 × 25 = 25 → factors 1 and 25
5 × 5 = 25 → factors 5 and 5

All the factors of 25 = 1, 5, 25
Q6(f) 32
Answer

Factors of 32: 1, 2, 4, 8, 16, 32. That is 6 factors in all.

4 × 8 = 322 × 16 = 32
Arrays for 32. Each rectangle gives a pair of factors.
1 × 32 = 32 → factors 1 and 32
2 × 16 = 32 → factors 2 and 16
4 × 8 = 32 → factors 4 and 8

All the factors of 32 = 1, 2, 4, 8, 16, 32
Q7(g) 37
Answer

Factors of 37: 1, 37. That is 2 factors in all.

1 × 37 = 37
37 counters make only one rectangle — a single long row.
1 × 37 = 37 → factors 1 and 37

All the factors of 37 = 1, 37
Q8(h) 46
Answer

Factors of 46: 1, 2, 23, 46. That is 4 factors in all.

2 × 23 = 46
46 counters as 2 rows of 23. The other rectangle is one row of 46.
1 × 46 = 46 → factors 1 and 46
2 × 23 = 46 → factors 2 and 23

All the factors of 46 = 1, 2, 23, 46
Q9(i) 54
Answer

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54. That is 8 factors in all.

6 × 9 = 543 × 18 = 54
Arrays for 54. Each rectangle gives a pair of factors.
1 × 54 = 54 → factors 1 and 54
2 × 27 = 54 → factors 2 and 27
3 × 18 = 54 → factors 3 and 18
6 × 9 = 54 → factors 6 and 9

All the factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54
Q10Numbers like 13 and 37 are called prime numbers. Why?
Answer

Because 13 and 37 have exactly two factors each — 1 and the number itself. Nothing else divides them.

NumberRectangles you can makeFactorsPrime?
101 × 10, 2 × 51, 2, 5, 10No — four factors
131 × 13 only1, 13Yes
141 × 14, 2 × 71, 2, 7, 14No
371 × 37 only1, 37Yes

Animal Jumps — Page 165A rabbit jumps 4, a frog jumps 3 — where do they meet?

Animal JumpsDiscuss in class
Q1A rabbit takes a jump of 4 each time. A frog takes a jump of 3 each time. Use the number line to figure out the numbers they will both touch. If the rabbit and the frog start from 0, the numbers both of them will touch are called the common multiples of 3 and 4.
Frog: jumps of 3Rabbit: jumps of 403468912
Page 165 — the number line. Both animals start at 0. The frog’s first jump is shown in blue and the rabbit’s first jump in red.
Answer

Between 0 and 12 they both touch only one number — 12.

0123456789101112Frog: jumps of 3Rabbit: jumps of 4
The frog lands on 3, 6, 9, 12. The rabbit lands on 4, 8, 12. The circled 12 is the only spot they share.
Frog (3s): 3, 6, 9, 12
Rabbit (4s): 4, 8, 12

First common landing spot = 12
Q212 is the first common multiple of 3 and 4. What are some other common multiples of 3 and 4? You can continue the number line or take help from the times tables of 3 and 4.
Frog: jumps of 3Rabbit: jumps of 403468912
Page 165 — the number line. Both animals start at 0. The frog’s first jump is shown in blue and the rabbit’s first jump in red.
Answer

The next common multiples are 24, 36, 48, 60 and 72 — and they go on for ever.

Multiples of 33, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48 …
Multiples of 44, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48 …
Common multiples12, 24, 36, 48, 60, 72 …
Q3What do you notice about the common multiples of 3 and 4? Discuss in class.
Answer

Every common multiple of 3 and 4 is a multiple of 12. The list is simply the 12 times table — 12, 24, 36, 48, 60 … The smallest one is 12, and every other one is made by adding 12 again and again. There is no biggest one; the list never ends.

Spider and Grasshopper — Page 166A spider jumps 3, a grasshopper jumps 6; then the multiples of 4 and 6

Discuss in class
Q1A spider takes a jump of 3 every time. A grasshopper takes a jump of 6 each time. Use the number line to find the common multiples of 3 and 6.
Spider: jumps of 3Grasshopper: jumps of 6036912
Page 166 — the number line. Both start at 0. The spider’s first jump is shown in green and the grasshopper’s first jump in purple.
Answer

They land together on 6, 12, 18, 24 … — that is, on every multiple of 6.

0123456789101112131415161718Spider: jumps of 3Grasshopper: jumps of 6
The spider touches 3, 6, 9, 12, 15, 18. The grasshopper touches 6, 12, 18. Every grasshopper spot is also a spider spot.
Spider (3s): 3, 6, 9, 12, 15, 18
Grasshopper (6s): 6, 12, 18

Common multiples of 3 and 6 = 6, 12, 18, 24, 30 …
Q26 and 12 are two common multiples of 3 and 6. You can continue the pattern to find more common multiples. What do you notice about the common multiples of 3 and 6? Discuss.
Spider: jumps of 3Grasshopper: jumps of 6036912
Page 166 — the number line. Both start at 0. The spider’s first jump is shown in green and the grasshopper’s first jump in purple.
Answer

The common multiples of 3 and 6 are 6, 12, 18, 24, 30, 36 … They are exactly the multiples of 6 — the grasshopper’s own list. Nothing new has to be worked out, because 6 is already a multiple of 3.

Q3Let us write the multiples of two numbers — 4 and 6. Multiples of 4: 4, 8, 12, 16, … Multiples of 6: 6, 12, 18, … 12 and 24 are two of the common multiples of 4 and 6. List a few more.
Answer

A few more common multiples of 4 and 6 are 36, 48, 60, 72 and 84.

Multiples of 44, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60 …
Multiples of 66, 12, 18, 24, 30, 36, 42, 48, 54, 60 …
Common multiples12, 24, 36, 48, 60, 72, 84 …

Let Us Do (Question 1) — Page 166Find 5 common multiples of the following pairs of numbers.

Let Us DoDiscuss in class
Q1(a) 2 and 3
Answer

Five common multiples of 2 and 3 are 6, 12, 18, 24, 30.

Multiples of 22, 4, 6, 8, 10, 12 …
Multiples of 33, 6, 9, 12 …
Common multiples6, 12, 18, 24, 30 …
Q2(b) 5 and 8
Answer

Five common multiples of 5 and 8 are 40, 80, 120, 160, 200.

Multiples of 55, 10, 15, 20, 25, 30, 35, 40, 45 …
Multiples of 88, 16, 24, 32, 40, 48, 56, 64, 72 …
Common multiples40, 80, 120, 160, 200 …
Q3(c) 2 and 4
Answer

Five common multiples of 2 and 4 are 4, 8, 12, 16, 20.

Multiples of 22, 4, 6, 8 …
Multiples of 44, 8 …
Common multiples4, 8, 12, 16, 20 …
Q4(d) 3 and 9
Answer

Five common multiples of 3 and 9 are 9, 18, 27, 36, 45.

Multiples of 33, 6, 9, 12, 15, 18 …
Multiples of 99, 18 …
Common multiples9, 18, 27, 36, 45 …
Q5(e) 5 and 10
Answer

Five common multiples of 5 and 10 are 10, 20, 30, 40, 50.

Multiples of 55, 10, 15, 20 …
Multiples of 1010, 20 …
Common multiples10, 20, 30, 40, 50 …
Q6(f) 9 and 12
Answer

Five common multiples of 9 and 12 are 36, 72, 108, 144, 180.

Multiples of 99, 18, 27, 36, 45, 54, 63, 72 …
Multiples of 1212, 24, 36, 48, 60, 72 …
Common multiples36, 72, 108, 144, 180 …
Q7(f) 8 and 12
Answer

Five common multiples of 8 and 12 are 24, 48, 72, 96, 120.

Multiples of 88, 16, 24, 32, 40, 48 …
Multiples of 1212, 24, 36, 48 …
Common multiples24, 48, 72, 96, 120 …
Q8(g) 6 and 8
Answer

Five common multiples of 6 and 8 are 24, 48, 72, 96, 120.

Multiples of 66, 12, 18, 24, 30, 36, 42, 48 …
Multiples of 88, 16, 24, 32, 40, 48 …
Common multiples24, 48, 72, 96, 120 …
Q9(h) 6 and 9
Answer

Five common multiples of 6 and 9 are 18, 36, 54, 72, 90.

Multiples of 66, 12, 18, 24, 30, 36 …
Multiples of 99, 18, 27, 36 …
Common multiples18, 36, 54, 72, 90 …
Q10What do you notice about the common multiples of different pairs of numbers? Discuss in class.
Answer

Every pair of numbers has endless common multiples. The smallest one matters most — once you have it, all the others come from adding it again and again. And the smallest one follows a pattern, depending on how the two numbers are related.

Let Us Do (Questions 2–3) — Page 167The cobbled road to the food, and Mowgli’s forest trail

Let Us Do
Q12. Food is available at the end of a cobbled road. Robby, the rabbit, takes a jump of 4 each time. Deeku, the deer, takes a jump of 6 each time. They both start at 0. Will both Robby and Deeku reach the food? Who will reach first? How do you know? Explain your answer.
012345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364food
The cobbled road from the book: stones 0 to 64, with the food at the end.
Answer

No. Only Robby reaches the food, so Robby gets there first. The food is at the end of the road, on stone 64.

Robby: 64 ÷ 4 = 16, nothing left over → he lands on 64 ✓
Deeku: 64 ÷ 6 = 10, remainder 4 → he lands on 60, then jumps to 66 ✗
So Robby reaches the food first; Deeku never lands on it.
Q23. Mowgli’s friends live along the trail on the marked places below. Which of his friends will he be able to visit, if he jumps by 2 steps starting from 0?
0123ant45678spider91011frog1213bird14151617181920snake21222324tiger2526272829bear3031323334wolf35363738deer3940414243444546474849rabbit50515253545556monkey57585960
The trail from the book, from 0 to 60. The yellow rings mark the places where Mowgli’s friends live.
Answer

He can visit the ant at 4, the frog at 12, the bird at 14, Baloo the bear at 30 and the rabbit at 50 — the friends who live on even numbers.

FriendStands onEven or odd?Does Mowgli meet him?
Ant4EvenYes
Spider9OddNo
Frog12EvenYes
Bird14EvenYes
Kaa the snake21OddNo
Sher Khan the tiger (not a friend)25OddNo
Baloo the bear30EvenYes
Akela the wolf35OddNo
Deer39OddNo
Rabbit50EvenYes
Monkey57OddNo

Mowgli’s Jumps and Common Factors — Page 168Jumps of 2, 3, 5 and 10 along the trail

A common factor of two or more numbers exactly divides each of the numbers
Q1Did Mowgli meet the ant, frog, bird and the rabbit? Notice their positions— 4, 12, 14, and 50. 2 is a common factor of these numbers.
Answer

Yes, he met all four of them. Their houses stand on 4, 12, 14 and 50, and every one of those numbers is even.

4 ÷ 2 = 2, nothing left over
12 ÷ 2 = 6, nothing left over
14 ÷ 2 = 7, nothing left over
50 ÷ 2 = 25, nothing left over

So 2 is a common factor of 4, 12, 14 and 50
Q2Which of his friends will he be able to meet if he jumps by 3 steps? (3 is a common factor of the numbers 9, 21, 39, and 57.)
Answer

With jumps of 3 he meets the spider at 9, the frog at 12, Kaa at 21, Baloo at 30, the deer at 39 and the monkey at 57.

9 = 3 × 3 ✓
12 = 3 × 4 ✓
21 = 3 × 7 ✓
30 = 3 × 10 ✓
39 = 3 × 13 ✓
57 = 3 × 19 ✓
Q3Which numbers will he touch if he jumps by 5 steps? 5 is a common factor of the numbers ____________.
Answer

He touches 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60. Among his friends he meets Baloo at 30, Akela at 35 and the rabbit at 50.

5 is a common factor of the numbers 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60.
Q4Which numbers will he touch if he jumps by 10 steps? 10 is a common factor of the numbers ____________.
Answer

He touches 10, 20, 30, 40, 50 and 60. Among his friends he meets only Baloo at 30 and the rabbit at 50.

10 is a common factor of the numbers 10, 20, 30, 40, 50 and 60.

Let Us Do (Questions 4–5) — Page 168Common factors of 24 and 36; common factors of 12 and 13

Let Us Do
Q14. (a) Can we jump by 2 steps at a time to reach both 24 and 36? Yes/No. 2 is/is not a common factor of 24 and 36.
Answer

Yes. 2 is a common factor of 24 and 36.

24 ÷ 2 = 12, nothing left over ✓
36 ÷ 2 = 18, nothing left over ✓

So 2 is a common factor of 24 and 36
Q24. (b) Can we jump by 3 steps at a time to reach both 24 and 36? Yes/No. 3 is/is not a common factor of 24 and 36.
Answer

Yes. 3 is a common factor of 24 and 36.

24 ÷ 3 = 8, nothing left over ✓
36 ÷ 3 = 12, nothing left over ✓
Q34. (c) Can we jump by 4 steps at a time to reach both 24 and 36? Yes/No. 4 is/is not a common factor of 24 and 36.
Answer

Yes. 4 is a common factor of 24 and 36.

24 ÷ 4 = 6, nothing left over ✓
36 ÷ 4 = 9, nothing left over ✓
Q44. (d) What other jumps can we take to reach both 24 and 36?
Answer

Jumps of 1, 6 and 12 also reach both numbers.

Jump of 1: 24 ÷ 1 = 24 ✓ and 36 ÷ 1 = 36 ✓
Jump of 6: 24 ÷ 6 = 4 ✓ and 36 ÷ 6 = 6 ✓
Jump of 12: 24 ÷ 12 = 2 ✓ and 36 ÷ 12 = 3 ✓
Q54. (e) How many common factors can you find for 24 and 36? List them.
Answer

There are six common factors: 1, 2, 3, 4, 6 and 12.

Factors of 241, 2, 3, 4, 6, 8, 12, 24
Factors of 361, 2, 3, 4, 6, 9, 12, 18, 36
Common factors1, 2, 3, 4, 6, 12
Q64. (f) What about jumping by 1 step each time to reach both 24 and 36?
Answer

Yes, a jump of 1 works — and it works for every number.

Jumping 1 at a time: 1, 2, 3, 4, 5 … 24 … 36
24 ÷ 1 = 24 ✓ and 36 ÷ 1 = 36 ✓
Q75. What are the common factors of 12 and 13?
Answer

The only common factor of 12 and 13 is 1.

Factors of 12 → 1, 2, 3, 4, 6, 12
Factors of 13 → 1, 13

Common factor = 1

Let Us Do (Questions 6–7) — Page 169Which numbers do jumps of 4 reach? Common factors of number pairs

Let Us DoDiscuss in class
Q16. Find which of the following numbers can be reached by jumps of 4 steps?
01016273648
Page 169, Question 6 — the number line with 0, 10, 16, 27, 36 and 48 marked on it.

4 is the common factor of the numbers ____________.

Answer

Jumps of 4 reach 16, 36 and 48. They do not reach 10 or 27.

4 is the common factor of the numbers 16, 36 and 48.
Jumps of 4 from 001016273648
The red dots are the landing spots for jumps of 4. They fall on 16, 36 and 48, but skip past 10 and 27.
NumberDivide by 4Reached?
1010 ÷ 4 = 2 with 2 left overNo
1616 ÷ 4 = 4 exactlyYes
2727 ÷ 4 = 6 with 3 left overNo
3636 ÷ 4 = 9 exactlyYes
4848 ÷ 4 = 12 exactlyYes
Q27. (a) 12 and 16
Answer

The common factors of 12 and 16 are 1, 2, 4.

Factors of 121, 2, 3, 4, 6, 12
Factors of 161, 2, 4, 8, 16
Common factors1, 2, 4
Q37. (b) 8 and 12
Answer

The common factors of 8 and 12 are 1, 2, 4.

Factors of 81, 2, 4, 8
Factors of 121, 2, 3, 4, 6, 12
Common factors1, 2, 4
Q47. (c) 4 and 16
Answer

The common factors of 4 and 16 are 1, 2, 4.

Factors of 41, 2, 4
Factors of 161, 2, 4, 8, 16
Common factors1, 2, 4
Q57. (d) 2 and 9
Answer

The only common factor of 2 and 9 is 1.

Factors of 21, 2
Factors of 91, 3, 9
Common factors1
Q67. (e) 3 and 5
Answer

The only common factor of 3 and 5 is 1.

Factors of 31, 3
Factors of 51, 5
Common factors1
Q77. (f) 12 and 15
Answer

The common factors of 12 and 15 are 1, 3.

Factors of 121, 2, 3, 4, 6, 12
Factors of 151, 3, 5, 15
Common factors1, 3
Q87. (f) 20 and 5
Answer

The common factors of 20 and 5 are 1, 5.

Factors of 201, 2, 4, 5, 10, 20
Factors of 51, 5
Common factors1, 5
Q97. (g) 9 and 21
Answer

The common factors of 9 and 21 are 1, 3.

Factors of 91, 3, 9
Factors of 211, 3, 7, 21
Common factors1, 3
Q107. (h) 6 and 27
Answer

The common factors of 6 and 27 are 1, 3.

Factors of 61, 2, 3, 6
Factors of 271, 3, 9, 27
Common factors1, 3
Q11What do you notice about the common factors of different pairs of numbers. Discuss in class.
Answer

Every pair of numbers has at least one common factor — the number 1. Some pairs have nothing else. The list of common factors is always short, and it always stops; it can never go past the smaller of the two numbers.

Let Us Do (Question 8: True or False) — Page 169State whether the following statements are true (T) or false (F).

Let Us Do
Q18. (a) Factors of even numbers must be even.
Answer

False (F).

An even number can easily have odd factors.

Factors of 6 → 1, 2, 3, 6  — 1 and 3 are odd
Factors of 10 → 1, 2, 5, 10 — 1 and 5 are odd
Factors of 12 → 1, 2, 3, 4, 6, 12
Q28. (b) Multiples of odd numbers cannot be even.
Answer

False (F).

Jump 3 steps at a time and you land on 3, 6, 9, 12, 15, 18 … Every second landing spot is even.

3 × 2 = 6 (even)
3 × 4 = 12 (even)
5 × 2 = 10 (even)
7 × 6 = 42 (even)
Q38. (c) Factors of odd numbers cannot be even.
Answer

True (T).

Factors of 9 → 1, 3, 9 — all odd
Factors of 15 → 1, 3, 5, 15 — all odd
Factors of 21 → 1, 3, 7, 21 — all odd
Q48. (d) One of the common multiples of two consecutive numbers is their product.
Answer

True (T).

4 and 5 → 4 × 5 = 20, and 20 ÷ 4 = 5 ✓, 20 ÷ 5 = 4 ✓
9 and 10 → 9 × 10 = 90, and 90 ÷ 9 = 10 ✓, 90 ÷ 10 = 9 ✓
Q58. (e) The only common factor of any two consecutive numbers is 1.
Answer

True (T).

PairFactors of the firstFactors of the secondCommon
8 and 91, 2, 4, 81, 3, 91
12 and 131, 2, 3, 4, 6, 121, 131
14 and 151, 2, 7, 141, 3, 5, 151
Q68. (f) 0 cannot be a factor of any number.
Answer

True (T).

0 × 1 = 0
0 × 5 = 0
0 × 100 = 0

Whatever you multiply 0 by, the answer is always 0

Let Us Do (Questions 9–10) — Page 169Hunting days; choosing a jump size to meet or avoid a friend

Let Us Do
Q19. Sher Khan, the tiger, goes hunting every 3rd day. Bagheera, the panther, goes hunting every 5th day. If both of them start on the same day, on which days will they be hunting together?
Answer

They hunt together on day 15, day 30, day 45, day 60 … that is, every 15th day.

Common multiples of 3 and 5 = 3 × 5 = 15, then 30, 45, 60, 75 …
Q210. (a) In the trail shown earlier, Sher Khan’s house is on number 25 and that of Baloo the bear is on number 30. Mowgli wants to meet his friend Baloo the bear but wants to avoid Sher Khan’s house. How long (in steps) could each jump be?
Answer

His jump could be 2, 3, 6, 10, 15 or 30 steps.

Jumps that reach 30 = factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Jumps that land on 25 = factors of 25: 1, 5, 25
Remove 1 and 5 → 2, 3, 6, 10, 15, 30
JumpReaches 30?Lands on 25?Safe for Mowgli?
1YesYesNo — he walks right past Sher Khan
2Yes (2 × 15)No (25 is odd)Yes
3Yes (3 × 10)NoYes
5Yes (5 × 6)Yes (5 × 5)No
6Yes (6 × 5)NoYes
10Yes (10 × 3)NoYes
15Yes (15 × 2)NoYes
30Yes (30 × 1)NoYes
Q310. (b) What number of jumps (in steps) he could choose so that he can meet both Kaa, the snake, at 21 and Akela, the wolf, at 35?
Answer

He should jump 7 steps at a time. (A jump of 1 step also works, but it is the slow way.)

Factors of 21 → 1, 3, 7, 21
Factors of 35 → 1, 5, 7, 35

Common factors = 1 and 7

Let Us Do (Question 11: Sorting) — Page 170Sort 90, 45, 84, 22, 66, 56, 38, 78, 25, 30, 62, 95, 75, 40 and 55

Let Us Do
Q111. Sort the following numbers into those that are — (a) divisible by 2 only
Answer

22, 38, 66, 78, 62, 84 and 56 are divisible by 2 only.

NumberLast digitDivisible by 2?Divisible by 5?
222YesNo
388YesNo
666YesNo
788YesNo
622YesNo
844YesNo
566YesNo
Q211. (b) divisible by 5 only
Answer

75, 45, 25, 95 and 55 are divisible by 5 only.

75 ÷ 5 = 15 ✓ but 75 is odd, so 2 does not divide it
45 ÷ 5 = 9 ✓
25 ÷ 5 = 5 ✓
95 ÷ 5 = 19 ✓
55 ÷ 5 = 11 ✓
Q311. (c) divisible by 10 only
Answer

There are none. This box stays empty.

Q411. (d) divisible by 2, 5, and 10
Answer

90, 30 and 40 are divisible by 2, by 5 and by 10.

Number÷ 2÷ 5÷ 10
9045189
301563
402084
Q5Complete the diagram on page 170 by writing each number in the right place.
902238307545667862408456259555Numbers divisibleonly by 2Numbers divisibleonly by 5Numbers divisible by2, 5 and 10Numbers divisibleonly by 10
Page 170 — the fifteen number cards and the blank sorting diagram to be filled in.
Answer

Here is the finished diagram, with all fifteen numbers placed.

22, 38, 6678, 62, 845675, 45, 2595, 55903040Nonedivisible by 2 onlydivisible by 5 onlydivisible by 10 onlyby 2, 5 and 10
All fifteen numbers sorted. The bottom part, for numbers divisible by 10 only, stays empty.
Part of the diagramNumbersHow many
Divisible only by 222, 38, 66, 78, 62, 84, 567
Divisible only by 575, 45, 25, 95, 555
Divisible by 2, 5 and 1090, 30, 403
Divisible only by 10None0
Check the count: 7 + 5 + 3 + 0 = 15
There were 15 numbers to sort ✓

Chapter 13 of 15 – Maths

Also for This Chapter

NCERT Solutions Class 5 Maths Chapter 13 Animal Jumps – Overview

ClassClass 5
SubjectMaths
Chapter13 – Animal Jumps
Textbook pages164 – 170
Questions solved72
Session2027
FormatFull answers on this page + PDF

NCERT Solutions Class 5 Maths Chapter 13 – FAQs

Where can I download NCERT Solutions Class 5 Maths Chapter 13 Animal Jumps PDF?

Read every answer on this page, or download the free PDF from the table at the top.

Is this for the 2027 session?

Yes, it follows the latest NCERT Class 5 Maths book for 2027.

How many questions are solved in NCERT Class 5 Maths Chapter 13?

All 72 questions of the chapter (textbook pages 164 – 170) – the in-text questions, activities and the end-of-chapter exercises.

How should I use these solutions?

Read the chapter in the NCERT book first, attempt the questions yourself, then check your answers here.

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