Chapter 8 Divisibility

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Chapter 8 Divisibility

Question 1.
There are some flowering trees in a garden. Each tree bears many flowers with the same number printed on it. Three children took a basket each to pick flowers. Each basket has one of the numbers, 3, 4 or 9 on it. Each child picks those flowers which have numbers divisible by the number on his or her basket. If He / She takes only 1 flower from each tree. Can you tell which numbers the flowers in each basket will have?
Maharashtra Board Class 6 Maths Solutions Chapter 8 Divisibility Practice Set 22 1


Solution:
Each child will have flowers bearing the following numbers:
Girl with basket number 3: 111, 369, 435, 249, 666, 450, 960, 432, 999, 72, 336, 90, 123, 108
Boy with basket number 4: 356, 220, 432, 960, 72, 336, 108
Girl with basket number 9: 369, 666, 450, 432, 999, 72, 90, 108

Intext Questions and Activities

Question 1.
Read the numbers given below. Which of these numbers are divisible by 2, by 5, or by 10? Write them in the empty boxes. 125,364,475,750,800,628,206,508,7009,5345,8710. (Textbook pg. no. 43)

Divisible by 2

Divisible by 5

Divisible by 10

Solution:

Divisible by 2

Divisible by 5

Divisible by 10

364,750, 800, 628, 206, 508, 8710

125,475, 750, 800, 5345, 8710

750, 800, 8710

Question 2.
Complete the following table: (Textbook pg. no. 43)

Number

Sum of digits in the number

Is the sum divisible by 3?

Is the given number divisible by 3?

63

6 + 3 = 9

872

17

X

X

91

552

9336

4527

Solution:

Number

Sum of digits in the number

Is the sum divisible by 3?

Is the given number divisible by 3?

63

6 + 3 = 9

872

8 + 7 + 2 = 17

X

X

91

9 + 1 = 10

X

X

552

5 + 5 + 2 = 12

9336

9 + 3 + 3 + 6 = 21

4527

4 + 5 + 2 + 7 = 18

Question 3.
Complete the following table: (Textbook pg. no. 44)

Number

Divide the number by 4. Is it completely divisible?

The number formed by the digits in the tens and units places.

Is this number divisible by 4?

992

92

7314

6448

8116

7773

3024

Solution:

Number

Divide the number by 4. Is it completely divisible?

The number formed by the digits in the tens and units places.

Is this number divisible by 4?

992

92

7314

X

14

X

6448

48

8116

16

7773

X

73

X

3024

24

Question 4.
Complete the following table: (Textbook pg. no. 44)

Number

Divide the number by 9. Is it completely divisible?

Sum of the digits in the number.

Is the sum divisible by 9?

1980

1 + 9 + 8 + 0 = 18

2999

X

2 + 9 + 9 + 9 = 29

X

5004

13389

7578

69993

Solution:

Number

Divide the number by 9. Is it completely divisible?

Sum of the digits in the number.

Is the sum divisible by 9?

1980

1 + 9 + 8 + 0 = 18

2999

X

2 + 9 + 9 + 9 = 29

X

5004

5 + 0 + 0 + 4 = 9

13389

X

1 + 3 + 3 + 8 + 9 = 24

X

7578

7 + 5 + 7 + 8 = 27

69993

6 + 9 + 9 + 9 + 3 = 36