Textbook Solutions: Divisibility | Mathematics Class 6 (Maharashtra Board) PDF Download

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Chapter 8: Divisibility 
 
 
PRACTICE SET 22 [PAGE 45] 
Practice Set 22 | Q 1 | Page 45 
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. He/She takes only 1 flower 
from each tree. Can you tell which numbers the flowers in each basket will have? 
 
 
SOLUTION 
Divisibility rule of 3: 
A number is divisible by 3 if the sum of its digits is divisible by 3. 
Flowers in basket number 3:  
72, 90, 108, 111, 123, 249, 336, 369, 432, 435, 450, 666, 960, 999 
Divisibility rule of 4: 
A number is divisible by 4 if the number formed by the last two digits is divisible by 4. 
Flowers in basket number 4:  
72, 108, 220, 336, 356, 432, 960 
Divisibility rule of 9: 
A number is divisible by 9 if the sum of its digits is divisible by 9. 
Page 2


Chapter 8: Divisibility 
 
 
PRACTICE SET 22 [PAGE 45] 
Practice Set 22 | Q 1 | Page 45 
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. He/She takes only 1 flower 
from each tree. Can you tell which numbers the flowers in each basket will have? 
 
 
SOLUTION 
Divisibility rule of 3: 
A number is divisible by 3 if the sum of its digits is divisible by 3. 
Flowers in basket number 3:  
72, 90, 108, 111, 123, 249, 336, 369, 432, 435, 450, 666, 960, 999 
Divisibility rule of 4: 
A number is divisible by 4 if the number formed by the last two digits is divisible by 4. 
Flowers in basket number 4:  
72, 108, 220, 336, 356, 432, 960 
Divisibility rule of 9: 
A number is divisible by 9 if the sum of its digits is divisible by 9. 
Flowers in basket number 9:  
72, 90, 108, 369, 432, 450, 666, 999