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NCERT solutions for class 6 maths chapter 3 Playing with Numbers: The chapter starts with problems that introduce the concepts of multiples and divisors. As it progresses, multiples, divisors, and factors add fun to the chapter in the form of a game. In chapter 3 Playing with Numbers, students will learn about prime and composite numbers, tests for divisibility of numbers and.

These solutions are covering Byjus Class 7 Maths Chapter 8 Model all the 55 questions. NCERT solutions can be a good tool for your preparation if you make its full use. Latest : Trouble with homework? Post your queries of Maths and Science with step-by-step solutions instantly. Ask Mr AL. Q Find the possible factors of 45, 30 and Answer: The possible factor of. Q1 Write all the factors of the following numbers : a 24 b 15 c 21 d 27 e 12 f 20 g 18 h 23 i Q2 Write first five multiples of : a 5 b 8 c 9.

Answer: First Five multiple of. Q3 Match the items in column 1 with the items in column 2. Column 1 Column 2 i 35 a Multiple of 8 ii 15 b Multiple of 7 iii 16 c Multiple of 70 iv 20 d Factor of 30 v 25 e Factor of 50 f Factor of Answer: Column 1 Column 2. Q4 Find all the multiples of 9 up to Answer: Multiples of 9 up to are:. Here, 1 has been added to a multiple of 2 to get a prime number. Can you find some more numbers of this type? Answer: some more numbers of this type are :.

Q1 What is the sum of any two a Odd numbers? Answer: a the sum of any fishing tackle shops hull 10 Odd numbers is always. Q2 State whether the following statements are True or False: a The sum of three odd numbers is. Answer: a False, Because the sum of two odd numbers is even and the sum of even number and an odd number is odd, so the sum of three odd numbers is odd.

Q3 The numbers 13 and 31 are prime numbers. Both these numbers have the same digits 1 and 3. Find such pairs of prime numbers up to Answer: Prime Number having the same digit are:.

Q4 Write down separately the prime and composite numbers less than Answer: Prime numbers less than 20 are : 2, 3, 5, 7, 11, 13, 17, Composite numbers less than 20 are : 4, 6, 8, 9, 10, 12, 14, 15, 16, Q5 What is the greatest prime number between 1 and 10? Answer: Prime numbers between 1 and 10 are 2, 3, 5, and 7. Among these numbers, 7 is the greatest. Q6 Express the following as the sum of two odd primes. Q7 Give three pairs fishing tackle shops hull 10 prime numbers whose difference is 2.

Answer: three pairs of prime numbers whose difference is 2 are :. Q8 Which of the following numbers are prime? Therefore, it is a prime number. Therefore, fishing tackle shops hull 10 is not a prime number. It is a composite fishing tackle shops hull 10. Q9 Write seven consecutive composite numbers less than so that there is no prime number between. Answer: Seven consecutive composite numbers less than so that there is no prime number between them are :. Between 89 and 97, both of which are prime numbers, there are 7 composite numbers.

They byjus class 6 maths chapter 3 mod 90,91,92,93,94,95, Q10 Express each of the following numbers as the byjus class 6 maths chapter 3 mod of three odd primes: a 21 b 31 c 53 d Q11 Write five pairs of prime numbers less than 20 whose sum is divisible by 5. Answer: Five pairs of prime numbers less than 20 whose sum is divisible by 5 are :. Answer: a prime number. Q1 Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; fishing tackle shops hull 10 8; by 9; by 10 ; by 11 say, yes or no :.

Q2 Using divisibility tests, determine which of the following numbers are divisible by 4; by 8: a b c d e f g h i j Answer: A number with 3 or more digits is divisible by 4 if the number formed by its last two digits is divisible by 4. A fishing tackle shops hull 10 with 3 or more digits is divisible by 8 if the number formed by its last three digits is divisible by 8.

The number is not divisible by 8. Hence, the number is divisible by 4 and 8. Hence, the number is not divisible by 4.

Hence the number is divisible by 4 and 8. The number is divisible by 4. Q3 Using divisibility tests, determine byjus class 6 maths chapter 3 mod of the following numbers are divisible by 6: a b c d e f g h i j Answer: a Since the last digit Of the byjus class 6 maths chapter 3 mod is 4, it is divisible by 2. On adding all the digits of the number, the sum obtained is Since 27 is divisible by 3, the given number is also divisible by 3.

As the number is divisible by both 2 and 3, it is divisible by 6. Since the last digit of the number is 8, it is divisible by 2. Since 16 is not divisible by 3, the given number is also not divisible by 3. As the number is not divisible by both 2 and 3, it is not divisible by 6. The last digit of the number is 5, which is not divisible by 2.

Therefore, the given number is also not divisible by 2. Since 15 is divisible by 3, the given number is also divisible by 3. The last digit of the number is 3, which is not divisible by 2. On adding all the digits Of the number, the sum obtained is Since the last digit of the number is 2, it is divisible by 2. Since 20 is not divisible by 3, the given number is also not divisible by 3.

Since the last digit of the number is O, it is divisible by 2. Since the last byjus class 6 maths chapter 3 mod of the number is 4, it is divisible by 2. Since 30 is divisible by 3, the given number is also divisible by 3. Since the last digit of the number is 3, it is not divisible by 2. Since 19 is not divisible by 3, the given number is also not divisible by 3. Since 21 is divisible by 3, the given number is also divisible by 3.

Since 23 is not divisible by 3, the given number is also not divisible by 3. Q4 Using divisibility tests, determine which of the following numbers are divisible by a b c d e f Therefore, is divisible by Therefore, is not divisible by To make the number divisible by 3, the sum of its digits should be divisible by 3. The smallest multiple of 3 which comes after 19 is As 24 is already divisible by 3, the smallest number that can be placed here is 0.

If we put 9, then the sum of the digits will be 33 and as 33 is divisible by fishing tackle shops hull 10, the number will also be divisible by 3. The number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at even places is divisible by Q Find the common factors of: a 8, 20 b 9, Answer: The common factors of the following are: a 8, Hence, the common factors are.

Q1 Find the common factors of : fishing tackle shops hull 10 20 and 28 b 15 and 25 c 35 and 50 d 56 and Answer: a 20 and Q2 Find the common factors of : a 4, 8 and 12 b 5, 15 and Answer: a 4,8, Q3 Find the first three common multiples of : a 6 and 8 b 12 and Answer: a 6 and 8.

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