Maharashtra Board Class 6 Maths Chapter 8 Divisibility Set 22 Solutions

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?
ℹ️ चित्र व्याख्या (Diagram Explanation): इस चित्र में एक बगीचा दिखाया गया है जहाँ कई फूलदार पेड़ हैं। प्रत्येक पेड़ पर लगे फूलों पर अलग-अलग संख्याएँ (जैसे 111, 356, 435, 369, 960, 450, 666, 249, 999, 90, 123, 72, 108, 220, 432, 336) अंकित हैं। तीन बच्चे, जिनमें से दो लड़कियाँ और एक लड़का है, फूलों को चुनने के लिए अपनी-अपनी टोकरियाँ लेकर खड़े हैं।
Answer: 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
In simple words: Children pick flowers whose numbers are exactly divisible by the number on their basket. The answer lists the numbers chosen by each child based on the divisibility rules for 3, 4, and 9.

🎯 Exam Tip: Understanding and applying divisibility rules for common numbers like 3, 4, and 9 is crucial for solving such problems quickly and accurately.

Maharashtra Board Class 6 Maths Chapter 8 Divisibility Practice Set 22 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)
Answer:

In simple words: Numbers ending in 0, 2, 4, 6, 8 are divisible by 2. Numbers ending in 0 or 5 are divisible by 5. Numbers ending in 0 are divisible by 10. The table categorizes the given numbers accordingly.

🎯 Exam Tip: Memorizing the divisibility rules for 2, 5, and 10 is fundamental for quick number classification and is a frequent topic in basic arithmetic tests.

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

In simple words: A number is divisible by 3 if the sum of its digits is also divisible by 3. The table applies this rule to various numbers.

🎯 Exam Tip: This divisibility rule for 3 is fundamental; practice calculating sums of digits to quickly determine divisibility without long division.

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

In simple words: A number is divisible by 4 if the number formed by its last two digits (tens and units place) is divisible by 4. This table demonstrates this rule for various numbers.

🎯 Exam Tip: The divisibility rule for 4 is an efficient shortcut; focus on the last two digits to quickly determine if a number is divisible by 4.

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

In simple words: A number is divisible by 9 if the sum of its digits is divisible by 9. This table helps practice identifying numbers divisible by 9 using this rule.

🎯 Exam Tip: The divisibility rule for 9 is very similar to the rule for 3; accurately summing the digits is key to correctly applying this rule in tests.