Maharashtra Board Text books

Maharashtra Board Class 6 Chapter 8 Divisibility Solution

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 2Divisible by 5Divisible by 10

Solution:

Divisible by 2Divisible by 5Divisible by 10
364,750, 800, 628, 206, 508, 8710125,475, 750, 800, 5345, 8710750, 800, 8710

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

NumberSum of digits in the numberIs the sum divisible by 3?Is the given number divisible by 3?
636 + 3 = 9
87217XX
91
552
9336
4527

Solution:

NumberSum of digits in the numberIs the sum divisible by 3?Is the given number divisible by 3?
636 + 3 = 9
8728 + 7 + 2 = 17XX
919 + 1 = 10XX
5525 + 5 + 2 = 12
93369 + 3 + 3 + 6 = 21
45274 + 5 + 2 + 7 = 18

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

NumberDivide 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?
99292
7314
6448
8116
7773
3024

Solution:

NumberDivide 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?
99292
7314X14X
644848
811616
7773X73X
302424

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

NumberDivide the number by 9. Is it completely divisible?Sum of the digits in the number.Is the sum divisible by 9?
19801 + 9 + 8 + 0 = 18
2999X2 + 9 + 9 + 9 = 29X
5004
13389
7578
69993

Solution:

NumberDivide the number by 9. Is it completely divisible?Sum of the digits in the number.Is the sum divisible by 9?
19801 + 9 + 8 + 0 = 18
2999X2 + 9 + 9 + 9 = 29X
50045 + 0 + 0 + 4 = 9
13389X1 + 3 + 3 + 8 + 9 = 24X
75787 + 5 + 7 + 8 = 27
699936 + 9 + 9 + 9 + 3 = 36