Question

Please answer the questions fast I will mark you the brainliest

Answer 1

Answer: Q6] 44-we can conclude that the given number 44 can be represented as the sum of two odd primes which are 3 and 41. ∴ 44 = 3 + 41 Where, 3, 41 are odd prime numbers...

36-36 as a sum of these odd prime numbers: 5 + 31 = 36 7 + 29 = 36 13 + 23 = 36 17 + 19 = 36

24 -The two odd primes are 19 and 5 So, 24 = 19+5.

18-18 is an even number. we can get an even number by adding two even number but we only have 2 as an even prime number so this case fails.

Q7] Ans-Three pairs of prime numbers whose difference is 2 are (5, 7), (11, 13) and (17, 19). A pair of prime numbers whose difference is 2 are called twin primes. The alternative names given to twin primes are prime twin or prime pair.

Q8] Ans-  The following numbers are prime: (a) 23 (c) 37

Q9]Ans- Follows: 90, 91, 92, 93, 94, 95, 96.

Q10]Ans- a}21 can be expressed as the sum of 3, 5, and 13

b}31 can be expressed as the sum of three odd prime numbers as 5 + 7 + 19

c}53 can be expressed as the sum of three odd prime numbers as 11 + 13 + 29, 53 = 13 + 17 + 23

d}61 can be expressed as the sum of three odd prime numbers as 11+19+31.

Q11]Ans- Five pairs of Prime Numbers less than 20 whose sum is divisible by 5 are (2,3), (3,7), (2,13), (5,5), (3,17)

Q12]Ans- a}Prime Number

b}Composite Number

c}Prime, Composite

d} 2

e} 4

f}  2

                   

Step-by-step explanation: