Class 5 Maths Chapter 13 Solutions: Animal Jumps

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Read the prompt, attempt it, then check each step

Every exercise subpart and table row is a separate item. Shared figures and table headings are repeated whenever they are needed to understand the question.

Detailed worked answers

Textbook page 164

Textbook page 164 · solved item 1

NCERT Class 5 Maths Chapter 13, solved question 1 — Question from the current NCERT textbook

Guess the multiplier when 28, 36, 48, and 72 come out of the box.

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Step 1: A possible multiplier must divide every output exactly.
Step 2: 1, 2, and 4 divide each of 28, 36, 48, and 72.
Step 3: No larger number divides all four outputs because the common factors of 28 and 36 are only 1, 2, and 4.
Answer: The multiplier can be 1, 2, or 4.

Textbook page 164 · solved item 2

NCERT Class 5 Maths Chapter 13, solved question 2 — Question from the current NCERT textbook

Is there more than one possible multiplier for the box?

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Step 1: Check multiplier 1: every output can be made by multiplying a whole number by 1.
Step 2: Check multipliers 2 and 4: all four outputs divide exactly by both.
Step 3: That gives three different multipliers that work.
Answer: Yes. The possible multipliers are 1, 2, and 4.

Textbook page 164 · solved item 3

NCERT Class 5 Maths Chapter 13, solved question 3 — Question from the current NCERT textbook

What numbers might have been put inside the multiplier box?

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Step 1: If the multiplier is 1, the inputs are 28, 36, 48, and 72.
Step 2: If the multiplier is 2, divide each output by 2: the inputs are 14, 18, 24, and 36.
Step 3: If the multiplier is 4, divide each output by 4: the inputs are 7, 9, 12, and 18.
Answer: Any one of these three input sets works with its matching multiplier.

Textbook page 164 · solved item 4

NCERT Class 5 Maths Chapter 13, solved question 4 — Question from the current NCERT textbook

Find the other factors of 15 and make other arrays for 15.

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Step 1: The shown array has 3 rows of 5, so 3\times5=15.
Step 2: Turn it around to get 5 rows of 3, so 5\times3=15.
Step 3: We can also make 1 row of 15, or 15 rows of 1.
Answer: The factors of 15 are 1, 3, 5, and 15.

Detailed worked answers

Textbook page 165

Textbook page 165 · solved item 5

NCERT Class 5 Maths Chapter 13, solved question 5 — Question from the current NCERT textbook

Fill the blank in 2\times\square=12.

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Step 1: Count how many groups of 2 make 12.
Step 2: 2+2+2+2+2+2=12, so there are 6 groups.
Step 3: Check by multiplying the two completed factors.
Answer: 2\times6=12, so the missing number is 6.

Textbook page 165 · solved item 6

NCERT Class 5 Maths Chapter 13, solved question 6 — Question from the current NCERT textbook

Fill the blank in 3\times\square=12.

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Step 1: Count in threes: 3,6,9,12.
Step 2: It takes 4 jumps of 3 to reach 12.
Step 3: Check by multiplying the two completed factors.
Answer: 3\times4=12, so the missing number is 4.

Textbook page 165 · solved item 7

NCERT Class 5 Maths Chapter 13, solved question 7 — Question from the current NCERT textbook

Fill the blank in 12\times\square=12.

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Step 1: One group of 12 already contains 12.
Step 2: So 12 needs to be taken only once.
Step 3: Check by multiplying the two completed factors.
Answer: 12\times1=12, so the missing number is 1.

Textbook page 165 · solved item 8

NCERT Class 5 Maths Chapter 13, solved question 8 — Question from the current NCERT textbook

Fill the blank in 1\times\square=12.

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Step 1: Multiplying by 1 keeps a number unchanged.
Step 2: The number that stays 12 is 12 itself.
Step 3: Check by multiplying the two completed factors.
Answer: 1\times12=12, so the missing number is 12.

Textbook page 165 · solved item 9

NCERT Class 5 Maths Chapter 13, solved question 9 — Question from the current NCERT textbook

Make different arrays for 10 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times10=10.
Step 2: The different rectangular arrays are 1\times10, 2\times5.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 10 are 1,2,5,10.

Textbook page 165 · solved item 10

NCERT Class 5 Maths Chapter 13, solved question 10 — Question from the current NCERT textbook

Make different arrays for 14 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times14=14.
Step 2: The different rectangular arrays are 1\times14, 2\times7.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 14 are 1,2,7,14.

Textbook page 165 · solved item 11

NCERT Class 5 Maths Chapter 13, solved question 11 — Question from the current NCERT textbook

Make different arrays for 13 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times13=13.
Step 2: The different rectangular arrays are 1\times13.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 13 are 1,13.

Textbook page 165 · solved item 12

NCERT Class 5 Maths Chapter 13, solved question 12 — Question from the current NCERT textbook

Make different arrays for 20 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times20=20.
Step 2: The different rectangular arrays are 1\times20, 2\times10, 4\times5.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 20 are 1,2,4,5,10,20.

Textbook page 165 · solved item 13

NCERT Class 5 Maths Chapter 13, solved question 13 — Question from the current NCERT textbook

Make different arrays for 25 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times25=25.
Step 2: The different rectangular arrays are 1\times25, 5\times5.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 25 are 1,5,25.

Textbook page 165 · solved item 14

NCERT Class 5 Maths Chapter 13, solved question 14 — Question from the current NCERT textbook

Make different arrays for 32 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times32=32.
Step 2: The different rectangular arrays are 1\times32, 2\times16, 4\times8.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 32 are 1,2,4,8,16,32.

Textbook page 165 · solved item 15

NCERT Class 5 Maths Chapter 13, solved question 15 — Question from the current NCERT textbook

Make different arrays for 37 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times37=37.
Step 2: The different rectangular arrays are 1\times37.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 37 are 1,37.

Textbook page 165 · solved item 16

NCERT Class 5 Maths Chapter 13, solved question 16 — Question from the current NCERT textbook

Make different arrays for 46 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times46=46.
Step 2: The different rectangular arrays are 1\times46, 2\times23.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 46 are 1,2,23,46.

Textbook page 165 · solved item 17

NCERT Class 5 Maths Chapter 13, solved question 17 — Question from the current NCERT textbook

Make different arrays for 54 and identify its factors.

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Step 1: Begin with one row of all the objects: 1\times54=54.
Step 2: The different rectangular arrays are 1\times54, 2\times27, 3\times18, 6\times9.
Step 3: Read both the row number and the column number from every array.
Answer: The factors of 54 are 1,2,3,6,9,18,27,54.

Textbook page 165 · solved item 18

NCERT Class 5 Maths Chapter 13, solved question 18 — Question from the current NCERT textbook

Why are numbers such as 13 and 37 called prime numbers?

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Step 1: Try to make equal-row rectangular arrays for 13. Only 1\times13 works.
Step 2: Do the same for 37. Only 1\times37 works.
Step 3: Each number has exactly two factors: 1 and the number itself.
Answer: They are prime numbers because they have exactly two factors.

Textbook page 165 · solved item 19

NCERT Class 5 Maths Chapter 13, solved question 19 — Question from the current NCERT textbook

Which number on the shown number line is touched by both the rabbit jumping 4 and the frog jumping 3?

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Step 1: The frog touches 3,6,9,12.
Step 2: The rabbit touches 4,8,12.
Step 3: Compare the two lists. The first positive number in both is 12.
Answer: Both touch 12.

Textbook page 165 · solved item 20

NCERT Class 5 Maths Chapter 13, solved question 20 — Question from the current NCERT textbook

Find some other common multiples of 3 and 4 after 12.

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Step 1: Continue the multiples of 3: 15,18,21,24,27,30,33,36,\ldots.
Step 2: Continue the multiples of 4: 16,20,24,28,32,36,\ldots.
Step 3: Pick the numbers that appear in both lists.
Answer: Some other common multiples are 24,36,48, and 60.

Textbook page 165 · solved item 21

NCERT Class 5 Maths Chapter 13, solved question 21 — Question from the current NCERT textbook

What do you notice about the common multiples of 3 and 4?

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Step 1: The common multiples begin 12,24,36,48,60,\ldots.
Step 2: The difference between neighbouring numbers is always 12.
Step 3: Each number in the list is also in the 12 times table.
Answer: Every common multiple of 3 and 4 is a multiple of 12.

Detailed worked answers

Textbook page 166

Textbook page 166 · solved item 22

NCERT Class 5 Maths Chapter 13, solved question 22 — Question from the current NCERT textbook

Use the number line to find the common multiples touched by jumps of 3 and 6.

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Step 1: Jumps of 3 touch 3,6,9,12,\ldots.
Step 2: Jumps of 6 touch 6,12,18,24,\ldots.
Step 3: On the shown line, 6 and 12 appear in both lists.
Answer: The shown common multiples are 6 and 12.

Textbook page 166 · solved item 23

NCERT Class 5 Maths Chapter 13, solved question 23 — Question from the current NCERT textbook

What do you notice about the common multiples of 3 and 6?

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Step 1: Write a few: 6,12,18,24,30,\ldots.
Step 2: Every one of these numbers is reached by a jump of 6.
Step 3: Since every multiple of 6 is also a multiple of 3, both jumpers touch it.
Answer: The common multiples are exactly the multiples of 6.

Textbook page 166 · solved item 24

NCERT Class 5 Maths Chapter 13, solved question 24 — Question from the current NCERT textbook

List a few more common multiples of 4 and 6 after 12 and 24.

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Step 1: Continue the 4 times table and the 6 times table.
Step 2: The next number in both lists after 24 is 36.
Step 3: Keep adding 12 to find more numbers in both lists.
Answer: A few more are 36,48,60, and 72.

Textbook page 166 · solved item 25

NCERT Class 5 Maths Chapter 13, solved question 25 — Question from the current NCERT textbook

Find five common multiples of 2 and 3.

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Step 1: Write the times table of 2.
Step 2: Write the times table of 3 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 6,12,18,24,30.

Textbook page 166 · solved item 26

NCERT Class 5 Maths Chapter 13, solved question 26 — Question from the current NCERT textbook

Find five common multiples of 5 and 8.

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Step 1: Write the times table of 5.
Step 2: Write the times table of 8 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 40,80,120,160,200.

Textbook page 166 · solved item 27

NCERT Class 5 Maths Chapter 13, solved question 27 — Question from the current NCERT textbook

Find five common multiples of 2 and 4.

Show detailed solution

Step 1: Write the times table of 2.
Step 2: Write the times table of 4 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 4,8,12,16,20.

Textbook page 166 · solved item 28

NCERT Class 5 Maths Chapter 13, solved question 28 — Question from the current NCERT textbook

Find five common multiples of 3 and 9.

Show detailed solution

Step 1: Write the times table of 3.
Step 2: Write the times table of 9 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 9,18,27,36,45.

Textbook page 166 · solved item 29

NCERT Class 5 Maths Chapter 13, solved question 29 — Question from the current NCERT textbook

Find five common multiples of 5 and 10.

Show detailed solution

Step 1: Write the times table of 5.
Step 2: Write the times table of 10 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 10,20,30,40,50.

Textbook page 166 · solved item 30

NCERT Class 5 Maths Chapter 13, solved question 30 — Question from the current NCERT textbook

Find five common multiples of 9 and 12.

Show detailed solution

Step 1: Write the times table of 9.
Step 2: Write the times table of 12 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 36,72,108,144,180.

Textbook page 166 · solved item 31

NCERT Class 5 Maths Chapter 13, solved question 31 — Question from the current NCERT textbook

Find five common multiples of 8 and 12.

Show detailed solution

Step 1: Write the times table of 8.
Step 2: Write the times table of 12 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 24,48,72,96,120.

Textbook page 166 · solved item 32

NCERT Class 5 Maths Chapter 13, solved question 32 — Question from the current NCERT textbook

Find five common multiples of 6 and 8.

Show detailed solution

Step 1: Write the times table of 6.
Step 2: Write the times table of 8 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 24,48,72,96,120.

Textbook page 166 · solved item 33

NCERT Class 5 Maths Chapter 13, solved question 33 — Question from the current NCERT textbook

Find five common multiples of 6 and 9.

Show detailed solution

Step 1: Write the times table of 6.
Step 2: Write the times table of 9 beside it.
Step 3: Circle the first five positive numbers that occur in both lists.
Answer: 18,36,54,72,90.

Textbook page 166 · solved item 34

NCERT Class 5 Maths Chapter 13, solved question 34 — Question from the current NCERT textbook

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

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Step 1: Every pair has common multiples, and the list keeps going.
Step 2: The first common multiple depends on the pair. For 2 and 3 it is 6, but for 5 and 8 it is 40.
Step 3: Later common multiples are made by repeatedly adding the first common multiple.
Answer: Common multiples repeat in a regular pattern for each pair.

Detailed worked answers

Textbook page 167

Textbook page 167 · solved item 35

NCERT Class 5 Maths Chapter 13, solved question 35 — Question from the current NCERT textbook

Will both Robby and Deeku reach the food, and who reaches it first?

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Step 1: The food is at 64. Robby's jumps of 4 include 60,64, so he reaches it.
Step 2: Deeku's jumps of 6 include 60,66, so he jumps past 64 and does not land on the food.
Step 3: Because only Robby lands exactly on 64, the two animals do not both reach the food.
Answer: Robby reaches the food; Deeku does not, so Robby is the one who reaches it.

Textbook page 167 · solved item 36

NCERT Class 5 Maths Chapter 13, solved question 36 — Question from the current NCERT textbook

Which of Mowgli's friends can he visit by jumping 2 steps from 0?

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Step 1: Jumps of 2 land on the even numbers 2,4,6,8,\ldots.
Step 2: The marked friend positions 4,12,14, and 50 are all even.
Step 3: Mowgli therefore lands exactly on each of those four positions.
Answer: He visits the ant at 4, frog at 12, bird at 14, and rabbit at 50.

Detailed worked answers

Textbook page 168

Textbook page 168 · solved item 37

NCERT Class 5 Maths Chapter 13, solved question 37 — Question from the current NCERT textbook

Did Mowgli meet the ant, frog, bird, and rabbit when jumping 2 steps?

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Step 1: Their positions are 4,12,14, and 50.
Step 2: Each position is even, so each can be reached by repeated jumps of 2.
Step 3: This means 2 is a factor of all four position numbers.
Answer: Yes, Mowgli met all four.

Textbook page 168 · solved item 38

NCERT Class 5 Maths Chapter 13, solved question 38 — Question from the current NCERT textbook

Which friends can Mowgli meet if he jumps 3 steps at a time?

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Step 1: Jumps of 3 land on 3,6,9,12,15,18,21,\ldots.
Step 2: Compare this pattern with the marked positions on the trail.
Step 3: The marked positions reached exactly are 9,21,39, and 57.
Answer: He meets the friends at 9,21,39, and 57.

Textbook page 168 · solved item 39

NCERT Class 5 Maths Chapter 13, solved question 39 — Question from the current NCERT textbook

Which numbers will Mowgli touch if he jumps 5 steps at a time?

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Step 1: Begin at 0 and add 5 for every jump.
Step 2: The trail continues to 59, so stop before the next jump to 60.
Step 3: The positive landing numbers are 5,10,15,20,25,30,35,40,45,50,55.
Answer: 5 is a common factor of 5,10,15,20,25,30,35,40,45,50, and 55.

Textbook page 168 · solved item 40

NCERT Class 5 Maths Chapter 13, solved question 40 — Question from the current NCERT textbook

Which numbers will Mowgli touch if he jumps 10 steps at a time?

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Step 1: Begin at 0 and add 10 for every jump.
Step 2: The landings on the trail are 10,20,30,40, and 50.
Step 3: Each landing divides exactly by 10.
Answer: 10 is a common factor of 10,20,30,40, and 50.

Textbook page 168 · solved item 41

NCERT Class 5 Maths Chapter 13, solved question 41 — Question from the current NCERT textbook

Can jumps of 2 reach both 24 and 36?

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Step 1: 24\div2=12 and 36\div2=18.
Step 2: Both divisions have no remainder.
Step 3: A jump size is a common factor only when it reaches both numbers exactly.
Answer: Yes. 2 is a common factor of 24 and 36.

Textbook page 168 · solved item 42

NCERT Class 5 Maths Chapter 13, solved question 42 — Question from the current NCERT textbook

Can jumps of 3 reach both 24 and 36?

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Step 1: 24\div3=8 and 36\div3=12.
Step 2: Both divisions have no remainder.
Step 3: A jump size is a common factor only when it reaches both numbers exactly.
Answer: Yes. 3 is a common factor of 24 and 36.

Textbook page 168 · solved item 43

NCERT Class 5 Maths Chapter 13, solved question 43 — Question from the current NCERT textbook

Can jumps of 4 reach both 24 and 36?

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Step 1: 24\div4=6 and 36\div4=9.
Step 2: Both divisions have no remainder.
Step 3: A jump size is a common factor only when it reaches both numbers exactly.
Answer: Yes. 4 is a common factor of 24 and 36.

Textbook page 168 · solved item 44

NCERT Class 5 Maths Chapter 13, solved question 44 — Question from the current NCERT textbook

What other jump sizes can reach both 24 and 36?

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Step 1: List the factors of 24: 1,2,3,4,6,8,12,24.
Step 2: List the factors of 36: 1,2,3,4,6,9,12,18,36.
Step 3: A jump size is a common factor only when it reaches both numbers exactly.
Answer: Besides 2,3, and 4, jumps of 1,6, and 12 also reach both.

Textbook page 168 · solved item 45

NCERT Class 5 Maths Chapter 13, solved question 45 — Question from the current NCERT textbook

How many common factors do 24 and 36 have? List them.

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Step 1: Compare the factor lists of 24 and 36.
Step 2: The shared numbers are 1,2,3,4,6, and 12.
Step 3: A jump size is a common factor only when it reaches both numbers exactly.
Answer: There are 6 common factors: 1,2,3,4,6,12.

Textbook page 168 · solved item 46

NCERT Class 5 Maths Chapter 13, solved question 46 — Question from the current NCERT textbook

Can jumps of 1 reach both 24 and 36?

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Step 1: Jumps of 1 touch every whole number.
Step 2: They therefore touch both 24 and 36.
Step 3: A jump size is a common factor only when it reaches both numbers exactly.
Answer: Yes. 1 is a common factor of 24 and 36.

Textbook page 168 · solved item 47

NCERT Class 5 Maths Chapter 13, solved question 47 — Question from the current NCERT textbook

What are the common factors of 12 and 13?

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Step 1: The factors of 12 are 1,2,3,4,6,12.
Step 2: The factors of 13 are only 1 and 13.
Step 3: Compare the lists and keep the number found in both.
Answer: The only common factor of 12 and 13 is 1.

Detailed worked answers

Textbook page 169

Textbook page 169 · solved item 48

NCERT Class 5 Maths Chapter 13, solved question 48 — Question from the current NCERT textbook

Which shown numbers can be reached by jumps of 4 steps?

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Step 1: Check the shown numbers 10,16,27,36,48 against the 4 times table.
Step 2: 16=4\times4, 36=4\times9, and 48=4\times12.
Step 3: 10 and 27 are not multiples of 4.
Answer: Jumps of 4 reach 16,36, and 48, so 4 is their common factor.

Textbook page 169 · solved item 49

NCERT Class 5 Maths Chapter 13, solved question 49 — Question from the current NCERT textbook

Find the common factors of 12 and 16.

Show detailed solution

Step 1: List every factor of 12.
Step 2: List every factor of 16.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1,2,4.

Textbook page 169 · solved item 50

NCERT Class 5 Maths Chapter 13, solved question 50 — Question from the current NCERT textbook

Find the common factors of 8 and 12.

Show detailed solution

Step 1: List every factor of 8.
Step 2: List every factor of 12.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1,2,4.

Textbook page 169 · solved item 51

NCERT Class 5 Maths Chapter 13, solved question 51 — Question from the current NCERT textbook

Find the common factors of 4 and 16.

Show detailed solution

Step 1: List every factor of 4.
Step 2: List every factor of 16.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1,2,4.

Textbook page 169 · solved item 52

NCERT Class 5 Maths Chapter 13, solved question 52 — Question from the current NCERT textbook

Find the common factors of 2 and 9.

Show detailed solution

Step 1: List every factor of 2.
Step 2: List every factor of 9.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1.

Textbook page 169 · solved item 53

NCERT Class 5 Maths Chapter 13, solved question 53 — Question from the current NCERT textbook

Find the common factors of 3 and 5.

Show detailed solution

Step 1: List every factor of 3.
Step 2: List every factor of 5.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1.

Textbook page 169 · solved item 54

NCERT Class 5 Maths Chapter 13, solved question 54 — Question from the current NCERT textbook

Find the common factors of 12 and 15.

Show detailed solution

Step 1: List every factor of 12.
Step 2: List every factor of 15.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1,3.

Textbook page 169 · solved item 55

NCERT Class 5 Maths Chapter 13, solved question 55 — Question from the current NCERT textbook

Find the common factors of 20 and 5.

Show detailed solution

Step 1: List every factor of 20.
Step 2: List every factor of 5.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1,5.

Textbook page 169 · solved item 56

NCERT Class 5 Maths Chapter 13, solved question 56 — Question from the current NCERT textbook

Find the common factors of 9 and 21.

Show detailed solution

Step 1: List every factor of 9.
Step 2: List every factor of 21.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1,3.

Textbook page 169 · solved item 57

NCERT Class 5 Maths Chapter 13, solved question 57 — Question from the current NCERT textbook

Find the common factors of 6 and 27.

Show detailed solution

Step 1: List every factor of 6.
Step 2: List every factor of 27.
Step 3: Keep only the numbers that appear in both factor lists.
Answer: The common factors are 1,3.

Textbook page 169 · solved item 58

NCERT Class 5 Maths Chapter 13, solved question 58 — Question from the current NCERT textbook

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

Show detailed solution

Step 1: Every pair in the exercise has 1 as a common factor.
Step 2: Some pairs, such as 2 and 9, have only 1 in common.
Step 3: Other pairs have more common factors, such as 12 and 16, which share 1,2,4.
Answer: Every pair shares 1, but the number of other common factors can differ.

Textbook page 169 · solved item 59

NCERT Class 5 Maths Chapter 13, solved question 59 — Question from the current NCERT textbook

State true or false: (a) Factors of even numbers must be even.

Show detailed solution

Step 1: Read the statement carefully and test it with a small number.
Step 2: 1 is an odd factor of every even number; for example, 1 is a factor of 8.
Step 3: Use that example or fact to decide whether the statement always works.
Answer: False.

Textbook page 169 · solved item 60

NCERT Class 5 Maths Chapter 13, solved question 60 — Question from the current NCERT textbook

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

Show detailed solution

Step 1: Read the statement carefully and test it with a small number.
Step 2: An odd number times an even count can be even; for example, 3\times2=6.
Step 3: Use that example or fact to decide whether the statement always works.
Answer: False.

Textbook page 169 · solved item 61

NCERT Class 5 Maths Chapter 13, solved question 61 — Question from the current NCERT textbook

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

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Step 1: Read the statement carefully and test it with a small number.
Step 2: An even factor would make an even product, so it cannot divide an odd number exactly.
Step 3: Use that example or fact to decide whether the statement always works.
Answer: True.

Textbook page 169 · solved item 62

NCERT Class 5 Maths Chapter 13, solved question 62 — Question from the current NCERT textbook

State true or false: (d) One common multiple of two consecutive numbers is their product.

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Step 1: Read the statement carefully and test it with a small number.
Step 2: For example, 4\times5=20, and 20 is in both the 4 and 5 times tables.
Step 3: Use that example or fact to decide whether the statement always works.
Answer: True.

Textbook page 169 · solved item 63

NCERT Class 5 Maths Chapter 13, solved question 63 — Question from the current NCERT textbook

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

Show detailed solution

Step 1: Read the statement carefully and test it with a small number.
Step 2: For example, 8 and 9 share only 1; neighbouring numbers cannot be divided exactly by the same larger number.
Step 3: Use that example or fact to decide whether the statement always works.
Answer: True.

Textbook page 169 · solved item 64

NCERT Class 5 Maths Chapter 13, solved question 64 — Question from the current NCERT textbook

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

Show detailed solution

Step 1: Read the statement carefully and test it with a small number.
Step 2: We cannot divide a number into groups of size 0, and multiplying 0 by a whole number always gives 0.
Step 3: Use that example or fact to decide whether the statement always works.
Answer: True.

Textbook page 169 · solved item 65

NCERT Class 5 Maths Chapter 13, solved question 65 — Question from the current NCERT textbook

On which days will Sher Khan and Bagheera hunt together?

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Step 1: Sher Khan's hunting days are 3,6,9,12,15,18,\ldots.
Step 2: Bagheera's hunting days are 5,10,15,20,25,30,\ldots.
Step 3: The days appearing in both lists are multiples of 15.
Answer: They hunt together on days 15,30,45,60,\ldots.

Textbook page 169 · solved item 66

NCERT Class 5 Maths Chapter 13, solved question 66 — Question from the current NCERT textbook

What jump sizes let Mowgli reach Baloo at 30 without landing on Sher Khan's house at 25?

Show detailed solution

Step 1: Jump sizes that reach 30 exactly are its factors: 1,2,3,5,6,10,15,30.
Step 2: Jumps of 1 and 5 also land on 25, so remove them.
Step 3: The remaining jumps reach 30 but skip 25.
Answer: Mowgli can jump 2,3,6,10,15, or 30 steps at a time.

Textbook page 169 · solved item 67

NCERT Class 5 Maths Chapter 13, solved question 67 — Question from the current NCERT textbook

What jump sizes let Mowgli meet both Kaa at 21 and Akela at 35?

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Step 1: The factors of 21 are 1,3,7,21.
Step 2: The factors of 35 are 1,5,7,35.
Step 3: The jump sizes found in both lists are 1 and 7.
Answer: He can jump 1 step or 7 steps at a time.

Detailed worked answers

Textbook page 170

Textbook page 170 · solved item 68

NCERT Class 5 Maths Chapter 13, solved question 68 — Question from the current NCERT textbook

Which numbers are divisible by 2 only?

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Step 1: Look for even numbers, because numbers divisible by 2 end in 0,2,4,6, or 8.
Step 2: Remove 30,40, and 90 because they are also divisible by 5 and 10.
Step 3: Place each selected number in the matching labelled part of the diagram.
Answer: 22,38,56,62,66,78,84.

Textbook page 170 · solved item 69

NCERT Class 5 Maths Chapter 13, solved question 69 — Question from the current NCERT textbook

Which numbers are divisible by 5 only?

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Step 1: Numbers divisible by 5 end in 0 or 5.
Step 2: Keep the numbers ending in 5; those ending in 0 are also divisible by 2 and 10.
Step 3: Place each selected number in the matching labelled part of the diagram.
Answer: 25,45,55,75,95.

Textbook page 170 · solved item 70

NCERT Class 5 Maths Chapter 13, solved question 70 — Question from the current NCERT textbook

Which numbers are divisible by 10 only?

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Step 1: A number divisible by 10 must end in 0.
Step 2: Every number ending in 0 is also divisible by both 2 and 5.
Step 3: Place each selected number in the matching labelled part of the diagram.
Answer: There are no numbers in the 'divisible by 10 only' part.

Textbook page 170 · solved item 71

NCERT Class 5 Maths Chapter 13, solved question 71 — Question from the current NCERT textbook

Which numbers are divisible by 2, 5, and 10?

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Step 1: Numbers divisible by 10 end in 0.
Step 2: The numbers in the bank ending in 0 are 30,40, and 90.
Step 3: Place each selected number in the matching labelled part of the diagram.
Answer: 30,40,90.