Chapter 13 of 15

Updated 6 August 2026

NCERT Solutions

Animal Jumps — NCERT Solutions

CBSE · Class 5 · Mathematics

NCERT Solutions for Animal Jumps, CBSE Class 5 Mathematics: 54 textbook questions solved step by step. Part of the CBSE Class 5 Mathematics syllabus.

42 questions48 flashcards4 formulas & key relations5 concepts

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54 Questions Solved · 3 Sections

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Let Us Do — Arrays and Factors

Fill in the blanksFill in the blanks to show why 12 is a multiple of 1, 2, 3, 4, 6, and 12:

2 \times \_ = 12

3 \times \_ = 12

12 \times \_ = 12

1 \times \_ = 12

Show solution

Given: 12 is the product.

Working:
$2 \times 6 = 12$
$3 \times 4 = 12$
$12 \times 1 = 12$
$1 \times 12 = 12$

Conclusion: Since each of 1, 2, 3, 4, 6, 12 multiplies with another whole number to give 12, all of them are factors of 12, and 12 is a multiple of each of them.

(a)Make different arrays for 10. Identify the factors.Show solution

Arrays for 10:

$1 \times 10$ (1 row of 10)
$2 \times 5$ (2 rows of 5)
$5 \times 2$ (5 rows of 2)
$10 \times 1$ (10 rows of 1)

Factors of 10: 1, 2, 5, 10

(b)Make different arrays for 14. Identify the factors.Show solution

Arrays for 14:

$1 \times 14$
$2 \times 7$
$7 \times 2$
$14 \times 1$

Factors of 14: 1, 2, 7, 14

(c)Make different arrays for 13. Identify the factors.Show solution

Arrays for 13:

$1 \times 13$
$13 \times 1$

Factors of 13: 1 and 13 only.

Note: 13 can only be arranged in one row or one column — it has exactly two factors (1 and itself). That is why 13 is called a prime number.

(d)Make different arrays for 20. Identify the factors.Show solution

Arrays for 20:

$1 \times 20$
$2 \times 10$
$4 \times 5$
$5 \times 4$
$10 \times 2$
$20 \times 1$

Factors of 20: 1, 2, 4, 5, 10, 20

(e)Make different arrays for 25. Identify the factors.Show solution

Arrays for 25:

$1 \times 25$
$5 \times 5$
$25 \times 1$

Factors of 25: 1, 5, 25

(f)Make different arrays for 32. Identify the factors.Show solution

Arrays for 32:

$1 \times 32$
$2 \times 16$
$4 \times 8$
$8 \times 4$
$16 \times 2$
$32 \times 1$

Factors of 32: 1, 2, 4, 8, 16, 32

(g)Make different arrays for 37. Identify the factors.Show solution

Arrays for 37:

$1 \times 37$
$37 \times 1$

Factors of 37: 1 and 37 only.

37 is a prime number because it has exactly two factors — 1 and itself.

(h)Make different arrays for 46. Identify the factors.Show solution

Arrays for 46:

$1 \times 46$
$2 \times 23$
$23 \times 2$
$46 \times 1$

Factors of 46: 1, 2, 23, 46

(i)Make different arrays for 54. Identify the factors.Show solution

Arrays for 54:

$1 \times 54$
$2 \times 27$
$3 \times 18$
$6 \times 9$
$9 \times 6$
$18 \times 3$
$27 \times 2$
$54 \times 1$

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Prime Numbers DiscussionNumbers like 13 and 37 are called prime numbers. Why?Show solution

13 and 37 are called prime numbers because each of them has exactly two factors — 1 and the number itself. They cannot be arranged into any rectangular array other than a single row or a single column. In other words, no number other than 1 divides them completely.

Common Multiples

Rabbit and FrogA rabbit takes a jump of 4 each time. A frog takes a jump of 3 each time. Both start from 0. What are the common multiples of 3 and 4? What do you notice?Show solution

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, …

Common multiples of 3 and 4: 12, 24, 36, 48, …

Observation: Every common multiple of 3 and 4 is a multiple of $3 \times 4 = 12$ . The common multiples are 12, 24, 36, 48, … i.e., multiples of 12.

Spider and GrasshopperA spider takes a jump of 3 every time. A grasshopper takes a jump of 6 each time. Find the common multiples of 3 and 6. What do you notice?Show solution

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, …

Multiples of 6: 6, 12, 18, 24, 30, …

Common multiples of 3 and 6: 6, 12, 18, 24, 30, …

Observation: All multiples of 6 are also multiples of 3. The common multiples are simply the multiples of 6 (the larger number). This is because 6 is itself a multiple of 3.

Multiples of 4 and 6List a few more common multiples of 4 and 6 beyond 12 and 24.Show solution

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, …

Common multiples of 4 and 6: 12, 24, 36, 48, 60, 72, …

So beyond 12 and 24, the next common multiples are 36, 48, 60, 72, …

Let Us Do — Common Multiples (Exercise)

1(a)Find 5 common multiples of 2 and 3.Show solution

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, …

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, …

5 Common multiples of 2 and 3: 6, 12, 18, 24, 30

1(b)Find 5 common multiples of 5 and 8.Show solution

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, …

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, …

5 Common multiples of 5 and 8: 40, 80, 120, 160, 200

1(c)Find 5 common multiples of 2 and 4.Show solution

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, …

5 Common multiples of 2 and 4: 4, 8, 12, 16, 20

(All multiples of 4 are common multiples of 2 and 4.)

1(d)Find 5 common multiples of 3 and 9.Show solution

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, …

Multiples of 9: 9, 18, 27, 36, 45, 54, …

5 Common multiples of 3 and 9: 9, 18, 27, 36, 45

1(e)Find 5 common multiples of 5 and 10.Show solution

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, …

Multiples of 10: 10, 20, 30, 40, 50, 60, …

5 Common multiples of 5 and 10: 10, 20, 30, 40, 50

1(f)Find 5 common multiples of 9 and 12.Show solution

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, …

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, …

5 Common multiples of 9 and 12: 36, 72, 108, 144, 180

1(g)Find 5 common multiples of 6 and 8.Show solution

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, …

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, …

5 Common multiples of 6 and 8: 24, 48, 72, 96, 120

1(h)Find 5 common multiples of 6 and 9.Show solution

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, …

5 Common multiples of 6 and 9: 18, 36, 54, 72, 90

2Food 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?Show solution

Given: Robby jumps 4 steps at a time; Deeku jumps 6 steps at a time. Both start at 0.

Concept: Both animals can only land on multiples of their jump size.

Multiples of 4 (Robby's positions): 4, 8, 12, 16, 20, 24, 28, 32, 36, …

Multiples of 6 (Deeku's positions): 6, 12, 18, 24, 30, 36, …

Common multiples of 4 and 6: 12, 24, 36, 48, …

If the food is at a common multiple (e.g., 12, 24, 36, …), both will reach the food.

Who reaches first?

Robby reaches 12 in $12 \div 4 = 3$ jumps.
Deeku reaches 12 in $12 \div 6 = 2$ jumps.

Deeku reaches first because he needs only 2 jumps to reach 12, while Robby needs 3 jumps.

3Mowgli's friends live along the trail on the marked places. Which of his friends will he be able to visit, if he jumps by 2 steps starting from 0? (Note: The image shows friends at positions 4, 9, 12, 14, 21, 39, 50, 57 based on context clues in the chapter.)Show solution

Given: Mowgli jumps 2 steps at a time starting from 0.

Concept: He will land on all multiples of 2, i.e., even numbers: 2, 4, 6, 8, 10, 12, 14, 16, …, 50, …

Friends at even positions (multiples of 2): 4, 12, 14, 50 — these are the ant, frog, bird, and rabbit.

Friends at odd positions (9, 21, 39, 57) cannot be reached by jumps of 2.

Answer: Mowgli will meet the friends at positions 4, 12, 14, and 50. (2 is a common factor of 4, 12, 14, and 50.)

3 — jumps of 3Which of his friends will Mowgli be able to meet if he jumps by 3 steps?Show solution

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, …

From the trail, the friends at positions that are multiples of 3 are: 9, 21, 39, 57.

Answer: Mowgli will meet the friends at 9, 21, 39, and 57. 3 is a common factor of 9, 21, 39, and 57.

3 — jumps of 5Which numbers will Mowgli touch if he jumps by 5 steps? 5 is a common factor of the numbers _______.Show solution

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, …

From the trail, the position that is a multiple of 5 is: 50.

Answer: 5 is a common factor of the numbers that are multiples of 5 on the trail. Based on the trail described in the chapter, 5 is a common factor of 50 (and any other multiples of 5 shown on the trail).

3 — jumps of 10Which numbers will Mowgli touch if he jumps by 10 steps? 10 is a common factor of the numbers _______.Show solution

Multiples of 10: 10, 20, 30, 40, 50, 60, …

From the trail, the position that is a multiple of 10 is: 50.

Answer: 10 is a common factor of the numbers on the trail that are multiples of 10. Based on the trail, 10 is a common factor of 50 (and any other multiples of 10 shown on the trail).

4(a)Can we jump by 2 steps at a time to reach both 24 and 36? Is 2 a common factor of 24 and 36?

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4(b)Can we jump by 3 steps at a time to reach both 24 and 36? Is 3 a common factor of 24 and 36?

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4(c)Can we jump by 4 steps at a time to reach both 24 and 36? Is 4 a common factor of 24 and 36?

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4(d)What other jumps can we take to reach both 24 and 36?

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4(e)How many common factors can you find for 24 and 36? List them.

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4(f)What about jumping by 1 step each time to reach both 24 and 36?

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5What are the common factors of 12 and 13?

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6Find which of the following numbers can be reached by jumps of 4 steps. 4 is the common factor of the numbers _______.

Concept: A number can be reached by jumps of 4 if it is a multiple of 4 (i.e., divisible by 4).

Rule for divisibility by 4: A number is divisible by 4 if its last two digits form a number divisible by 4.

Note: The exact numbers are in an image (img_5) that cannot be seen. However, the method is:

Check each number: if $\text{number} \div 4$ gives no remainder, it is reachable.
List all such numbers — 4 is a common factor of those numbers.

(Apply the above check to each number shown in the image.)

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7(a)Find the common factors of 12 and 16.

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7(b)Find the common factors of 8 and 12.

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7(c)Find the common factors of 4 and 16.

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7(d)Find the common factors of 2 and 9.

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7(e)Find the common factors of 3 and 5.

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7(f) — firstFind the common factors of 20 and 5.

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7(f) — secondFind the common factors of 12 and 15.

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7(g)Find the common factors of 9 and 21.

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7(h)Find the common factors of 6 and 27.

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8(a)State whether true (T) or false (F): Factors of even numbers must be even.

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8(b)State whether true (T) or false (F): Multiples of odd numbers cannot be even.

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8(c)State whether true (T) or false (F): Factors of odd numbers cannot be even.

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8(d)State whether true (T) or false (F): One of the common multiples of two consecutive numbers is their product.

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8(e)State whether true (T) or false (F): The only common factor of any two consecutive numbers is 1.

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8(f)State whether true (T) or false (F): 0 cannot be a factor of any number.

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9Sher 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?

Given: Sher Khan hunts every 3rd day; Bagheera hunts every 5th day. Both start on Day 0 (same day).

Concept: They hunt together on common multiples of 3 and 5.

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, …

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, …

Common multiples of 3 and 5: 15, 30, 45, 60, …

Answer: They will hunt together on Day 15, Day 30, Day 45, Day 60, and so on — i.e., every 15th day.

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10(a)Sher Khan's house is on number 25 and Baloo the bear is on number 30. Mowgli wants to meet Baloo but avoid Sher Khan's house. How long (in steps) could each jump be?

Given: Sher Khan is at 25; Baloo is at 30. Mowgli must reach 30 but NOT land on 25.

Concept: Mowgli lands on multiples of his jump size. He needs a jump size that:

Is a factor of 30 (to reach Baloo), AND
Is NOT a factor of 25 (to avoid Sher Khan).

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 25: 1, 5, 25

Factors of 30 that are NOT factors of 25: 2, 3, 6, 10, 15, 30

Answer: Mowgli could jump 2, 3, 6, 10, 15, or 30 steps at a time. These jumps will take him to 30 (Baloo's house) without landing on 25 (Sher Khan's house).

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10(b)What number of jumps (in steps) could Mowgli choose so that he can meet both Kaa, the snake, at 21 and Akela, the wolf, at 35?

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11Sort the following numbers into those that are: (a) divisible by 2 only, (b) divisible by 5 only, (c) divisible by 10 only, (d) divisible by 2, 5, and 10. (Numbers are shown in images img_6 and img_7 which cannot be fully read.)

Concept/Rules:

Divisible by 2: Last digit is 0, 2, 4, 6, or 8.
Divisible by 5: Last digit is 0 or 5.
Divisible by 10: Last digit is 0.
Divisible by 2, 5, and 10: Last digit is 0 (divisible by 10 implies divisible by both 2 and 5).

Sorting method:

If a number ends in 0 → divisible by 2, 5, and 10 → Category (d).
If a number ends in 5 → divisible by 5 only (not by 2 or 10) → Category (b).
If a number ends in 2, 4, 6, or 8 → divisible by 2 only (not by 5 or 10) → Category (a).
No number can be divisible by 10 only (since divisibility by 10 always implies divisibility by both 2 and 5).

Note: The exact numbers are in images that cannot be read. Apply the above rules to each number shown in the images to sort them into the correct categories.

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Frequently Asked Questions

What are the important topics in Animal Jumps for CBSE Class 5 Mathematics?

Key topics in Animal Jumps include Factors, multiples, and arrays, Common multiples from jumping games, Common factors from jump patterns, True or false points to remember. Study these first, then practise questions on each for Class 5 exams.

Are these NCERT Solutions for Animal Jumps free?

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How should I revise Animal Jumps for Class 5 exams?

Learn the core ideas first, then work through the 42 practice questions on Animal Jumps. Revise definitions regularly and use flashcards for quick recall before the exam.

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Animal Jumps — NCERT Solutions

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Let Us Do — Arrays and Factors

Common Multiples

Let Us Do — Common Multiples (Exercise)

Frequently Asked Questions

Sources & Official References

More resources for Animal Jumps

Practice Quiz

Important Questions

Revision Notes

Formula Sheet

Chapter Summary

Concept Maps

Study Plan

Flashcards

Syllabus

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