NCERT Solutions for Class 5 Maths Mela Chapter 13: Animal Jumps

NCERT Solutions Class 5 Maths Mela Chapter 13 Animal Jumps (2025-26)

1. Find the hidden numbers

Numbers put in this box get multiplied by a number and come out.

1. Can you guess the multiplier if you see the 4 numbers coming out of the box?
   Answer: The multiplier is the number which divides all four coming-out numbers exactly. For example, if the numbers are 28, 36, 48, and 72, common multipliers could be 1, 2, or 4.
2. Is there more than one possible multiplier?
   Answer: Yes, there can be more than one possible multiplier. For example, 1, 2, and 4 all are possible multipliers for 28, 36, 48, and 72.
3. What numbers might have been put inside the box?
   Answer: The numbers put inside could be the result after dividing each outgoing number by the multiplier. Example: If multiplier is 4, the numbers are 7 (28÷4), 9 (36÷4=9), 12, and 18.

The multipliers 1, 2, and 4 that you found above are the factors of the numbers that have come out of the box, that is, 28, 36, 48, and 72.
In fact, these are the common factors of all the numbers. The numbers 28, 36, 48, and 72 are multiples of 1, 2, and 4.

The product of two or more factors gives a multiple.
A 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.

• 1 × 15 = 15
• 3 × 5 = 15
• 5 × 3 = 15
• 15 × 1 = 15

Let us make arrays for the number 12.

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

Make different arrays for the following numbers. Identify the factors in each case.

1. 10: 1 × 10, 2 × 5
   Factors: 1, 2, 5, 10
2. 14: 1 × 14, 2 × 7
   Factors: 1, 2, 7, 14
3. 13: 1 × 13
   Factors: 1, 13 (Prime number)
4. 20: 1 × 20, 2 × 10, 4 × 5
   Factors: 1, 2, 4, 5, 10, 20
5. 25: 1 × 25, 5 × 5
   Factors: 1, 5, 25
6. 32: 1 × 32, 2 × 16, 4 × 8, 8 × 4, 16 × 2, 32 × 1
   Factors: 1, 2, 4, 8, 16, 32
7. 37: 1 × 37
   Factors: 1, 37 (Prime number)
8. 46: 1 × 46, 2 × 23
   Factors: 1, 2, 23, 46
9. 54: 1 × 54, 2 × 27, 3 × 18, 6 × 9, 9 × 6, 18 × 3, 27 × 2, 54 × 1
   Factors: 1, 2, 3, 6, 9, 18, 27, 54

Animal Jumps and Common Multiples

A 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.

Number line: 0 3 4 6 8 9 12

Answer: The numbers that both will touch are 0 and 12. 12 is the first common multiple of 3 and 4.
Some other common multiples are 24, 36, 48, and so on (multiples of 12).

1, 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: Because multiplying these factors by suitable numbers will give 12 as a product.

Fill in the blanks:

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

Animal Jumps (Contd.)

A 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.

Number line: 0 3 6 9 12

Answer: The common multiples are 0, 6, 12, 18, 24, etc. The first common multiple is 6.

Find 5 common multiples of the following pairs of numbers.

1. 2 and 3: 6, 12, 18, 24, 30
2. 5 and 8: 40, 80, 120, 160, 200
3. 2 and 4: 4, 8, 12, 16, 20
4. 3 and 9: 9, 18, 27, 36, 45
5. 5 and 10: 10, 20, 30, 40, 50
6. 9 and 12: 36, 72, 108, 144, 180
7. 8 and 12: 24, 48, 72, 96, 120
8. 6 and 8: 24, 48, 72, 96, 120
9. 6 and 9: 18, 36, 54, 72, 90

What do you notice about the common multiples of different pairs of numbers?

Answer: They are all multiples of the least common multiple (LCM) of both numbers and repeat at those intervals.

Let us write the multiples of two numbers— 4 and 6.

• Multiples of 4 — 4, 8, 12, 16, 20, 24, ...
• Multiples of 6 — 6, 12, 18, 24, 30, ...

12 and 24 are two of the common multiples of 4 and 6.
Other common multiples: 36, 48, 60, ...

2. 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.
   Answer: Both will reach the food only if the food is at a Common Multiple of 4 and 6, like 12, 24, etc. Deeku will reach the food first if the food is at a multiple of 6 before 12, but both will arrive together at common multiples (like 12, 24).
3. 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?
   

   0 1 2 3 4 5 6 7 8 9 10 11
   12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 
   32 33 34 35 36 37 38 39 40 41 42 43 44 45
   46 47 48 49 50 51 52 53 54 55 56 57 58 59
       

   Answer: He will visit the friends at even-numbered positions: 0, 2, 4, 6, 8, ..., 58.

4. Let us find some common factors of the numbers 24 and 36. Note that all jumps in the following questions start from 0.
   1. Can we jump by 2 steps at a time to reach both 24 and 36? Yes.
      2 is a common factor of 24 and 36.
   2. Can we jump by 3 steps at a time to reach both 24 and 36? Yes.
      3 is a common factor of 24 and 36.
   3. Can we jump by 4 steps at a time to reach both 24 and 36? Yes.
      4 is a common factor of 24 and 36.
   4. What other jumps can we take to reach both 24 and 36?
      Answer: We can jump by 1, 6, or 12 steps, and also by 24 (as factors). All common factors: 1, 2, 3, 4, 6, 12.
   5. How many common factors can you find for 24 and 36? List them.
      Answer: 1, 2, 3, 4, 6, 12
   6. What about jumping by 1 step each time to reach both 24 and 36?
      Answer: Yes, because 1 is a factor of all numbers.
5. What are the common factors of 12 and 13?
   Answer: Only 1 is common between 12 and 13, because 13 is a prime number.
   The number itself and 1 are always factors of any number.

Did 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.
Which of his friends will he be able to meet if he jumps by 3 steps?
Answer: 3 is a common factor of the positions 9, 21, 39, and 57.
Which numbers will he touch if he jumps by 5 steps?
Answer: He will touch 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55.
5 is a common factor of these numbers.
Which numbers will he touch if he jumps by 10 steps?
Answer: 0, 10, 20, 30, 40, 50.

A common factor of two or more numbers exactly divides each of the numbers.

6. Find which of the following numbers can be reached by jumps of 4 steps?
   Answer: All numbers divisible by 4 (multiples of 4): 0, 4, 8, 12, 16, 20, ..., 56.
   4 is the common factor of the numbers: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56.
7. Find the common factors of the following pairs of numbers.
   1. 12 and 16: 1, 2, 4
   2. 8 and 12: 1, 2, 4
   3. 4 and 16: 1, 2, 4
   4. 2 and 9: 1
   5. 3 and 5: 1
   6. 12 and 15: 1, 3
   7. 20 and 5: 1, 5
   8. 9 and 21: 1, 3
   9. 6 and 27: 1, 3
8. State whether the following statements are true (T) or false (F).
   1. Factors of even numbers must be even.
      Answer: False (Even numbers have odd factors like 1 and others).
   2. Multiples of odd numbers cannot be even.
      Answer: False (e.g., 3 × 2 = 6, which is even).
   3. Factors of odd numbers cannot be even.
      Answer: True (Odd numbers do not have even factors except 1, which is odd).
   4. One of the common multiples of two consecutive numbers is their product.
      Answer: True (e.g., 2 and 3: 2 × 3 = 6, a common multiple).
   5. The only common factor of any two consecutive numbers is 1.
      Answer: True.
   6. 0 cannot be a factor of any number.
      Answer: True (No number divided by 0 gives defined answer).
9. 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: On the days that are multiples of both 3 and 5, i.e., every 15th day (15, 30, 45, etc.).
10. 1. 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: He can choose jumps that are factors of 30, but not of 25 (like 6 or 10 steps), so that he lands on 30 but not 25.
    2. What number of jumps (in steps) could he choose so that he can meet both Kaa, the snake, at 21 and Akela, the wolf, at 35?
       Answer: He can choose jumps which are common factors of 21 and 35, i.e., 1 and 7.

11. Sort the following numbers into those that are—
    1. divisible by 2 only
    2. divisible by 5 only
    3. divisible by 10 only
    4. divisible by 2, 5, and 10.

    90, 45, 84, 22, 66, 56, 38, 78, 25, 30, 62, 95, 75, 40, 55

    Numbers divisible only by 2	Numbers divisible only by 5	Numbers divisible by 2, 5, and 10	Numbers divisible only by 10
    84, 22, 66, 56, 38, 78, 62	25, 45, 55, 75, 95	30, 40, 90	None

Mastering Multiples and Factors in Class 5 Maths Mela Chapter 13

Dive into NCERT Solutions Class 5 Maths Mela Chapter 13 Animal Jumps (2025-26) to strengthen your grasp of factors and multiples. The chapter’s engaging animal jump scenarios make it fun to learn mathematical relationships for exam success.

By exploring common multiples, factors, and arrays, students develop a strong conceptual base. Regular practice with these concepts aids in solving all types of questions quickly and boosts problem-solving confidence in maths exams.

Revise key examples and practice the chapter-wise NCERT solutions to ace your Maths Mela syllabus. Focus on understanding prime numbers and divisibility rules to secure more marks in your school exams.