Page 1 - Home Assignment Ans

Home Assignment-2

1. Sum of any two (a) Odd numbers will be an even number.

Ex- two odd numbers are 5 and 7, sum will be 12

Sum of two (b) Even numbers will be an even number.

Ex- two even numbers are 2 and 4, sum will be 6.

2. (a) True
(b) True

(c) True

3. 2, 3, 5, 7, 11, 13, 17 and 19 are the prime numbers less than 20
4, 6, 8, 9, 10, 12, 14, 15, 16 and 18 are the composite numbers less than 20

4. (a) 23

1 × 23 = 23
23 × 1 = 23

Therefore 23 has only two factors 1 and 23. Hence, it is a prime number.

(b) 51
1 × 51 = 51

3 × 17 = 51

Therefore 51 has four factors 1, 3, 17 and 51. Hence, it is not a prime number, it is a
composite number.

(c) 37
1 × 37 = 37

37 × 1 = 37

Therefore 37 has two factors 1 and 37. Hence, it is a prime number.
(d) 26

1 × 26 = 26

2 × 13 = 26
Therefore 26 has four factors 1, 2, 13 and 26. Hence, it is not a prime number, it is a
composite number.

5. (a) 3 + 41 = 44

(b) 5 + 31 = 36