<\/p>\n
NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.2<\/strong><\/p>\n Exercise 3.2<\/strong><\/p>\n Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Question 10. Question 11. Question 12. <\/p>\n","protected":false},"excerpt":{"rendered":" NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.2 Exercise 3.2 Question 1. What is […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.2 at infinity learn.","custom_permalink":"study-material\/ncert-solutions\/class-6\/maths\/playing-with-numbers\/exercise-3-2\/"},"categories":[13,19,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"\n
\nWhat is the sum of any two:
\n(a) Odd numbers?
\n(b) Even numbers?
\nSolution:
\n(a) The sum of any two odd numbers is even.
\n(b) The sum of any two even numbers is even.<\/p>\n
\nState whether the following statements are True or False.
\n(a) The sum of three odd numbers is even.
\n(b) The sum of two odd numbers and one even number is even.
\n(c) The product of three odd numbers is odd.
\n(d) If an even number is divided by 2, the quotient is always odd.
\n(e) All prime numbers are odd.
\n(f) Prime numbers do not have any factors.
\n(g) Sum of two prime numbers is always even.
\n(h) 2 is only the even prime number.
\n(i) All even numbers are composite numbers.
\n(j) The product of any two even numbers is always even.
\nSolution:
\n(\u0430) False [\u2235 3 + 5 + 7 = 15 (odd)]\n(b) True [\u2235 3 + 5 + 6 = 14 (even)]\n(c) True [\u2235 5 x 7 x 9 = 315 (odd)]\n(d) False [\u2235 6 + 2 = 3 (odd)]\n(e) False [\u2235 2 is a prime number but it is even]\n(f) False [\u2235 3 is a prime number having 1 and 3 as its factors]\n(g) False [\u2235 7 + 2 = 9 (odd)]\n(h) True [\u2235 2 is even and the lowest prime number]\n(i) False [\u2235 2 is even but not composite number]\n(j) True [\u2235 4 x 6 = 24 (even)]\n
\nThe numbers 13 and 31 are prime numbers. Both these numbers have same digits 1 and 3. Find such pairs of prime numbers up to 100.
\nSolution:
\nThe required pair of prime numbers having same digits are:
\n(17 and 71), (37 and 73), (79 and 97).<\/p>\n
\nWrite down separately the prime and composite numbers less than 20.
\nSolution:
\nPrime numbers less than 20 are:
\n2, 3, 5, 7, 11, 13, 17 and 19
\nComposite numbers less than 20 are:
\n4, 6, 8, 9, 10, 12, 14, 15, 16 and 18<\/p>\n
\nWhat is the greatest prime number between 1 and 10?
\nSolution:
\nThe greatest prime number between 1 and 10 is 7.<\/p>\n
\nExpress the following as the sum of two odd primes.
\n(a) 44
\n(b) 36
\n(c) 24
\n(d) 18
\nSolution:
\n(a) 44 = 13 + 31
\n(b) 36 = 17 + 19
\n(c) 24 = 7 + 17
\n(d) 18 = 7 + 11<\/p>\n
\nGive three pairs of prime numbers whose difference is 2.
\n[Remark: Two prime numbers whose difference is 2 are called twin primes]\nSolution:
\nRequired pairs are: (3 and 5), (5 and 7) and (11 and 13)<\/p>\n
\nWhich of the following numbers are prime?
\n(a) 23
\n(b) 51
\n(c) 37
\n(d) 26
\nSolution:
\n(a) 23 is a prime number [ \u2235 23 = 1 x 23]\n(b) 51 is not a prime number [\u2235 51 = 1 x 3 x 17]\n(c) 37 is a prime number [\u2235 37 = 1 x 37]\n(d) 26 is not a prime number [\u2235 26 = 1 x 2 x 13]\n
\nWrite seven consecutive composite numbers less than 100 so that there is no prime number between them.
\nSolution:
\nRequired seven consecutive composite numbers are:
\n90, 91, 92, 93, 94, 95 and 96<\/p>\n
\nExpress each of the following numbers as the sum of three odd primes.
\n(a) 21
\n(b) 31
\n(c) 53
\n(d) 61
\nSolution:
\n(a) 21 can be expressed as 3 + 5 + 13
\n(b) 31 can be expressed as 5 + 7 + 19
\n(c) 53 can be expressed as 13 + 17 + 23
\n(d) 61 can be expressed as 11 + 13 + 37<\/p>\n
\nWrite five pairs of prime numbers less than 20 whose sum is divisible by 5.
\n(Hint: 3 + 7 = 10)
\nSolution:
\nRequired pairs of prime numbers less than 20 are:
\n(i) 2 + 3 = 5
\n(ii) 2 + 13 = 15
\n(iii) 11 + 9 = 20
\n(iv) 17 + 3 = 20
\n(v) 7 + 13 = 20<\/p>\n
\nFill in the blanks.
\n(a) A number which has only two factors is called a \u2026\u2026\u2026\u2026 .
\n(b) A number which has more than two factors is called a \u2026\u2026\u2026\u2026 .
\n(c) 1 is neither \u2026\u2026\u2026\u2026 nor \u2026\u2026\u2026\u2026 .
\n(d) The smallest prime number is \u2026\u2026\u2026\u2026 .
\n(e) The smallest composite number is \u2026\u2026\u2026\u2026 .
\n(f) The smallest even number is \u2026\u2026\u2026\u2026 .
\nSolution:
\n(a) prime number
\n(b) composite number
\n(c) prime, composite
\n(d) 2
\n(e) 4
\n(f) 2<\/p>\n