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State whether the following statements are True or False:

(a) The sum of three odd numbers is even.

(b) The sum of two odd numbers and one even number is even.

(c) The product of three odd numbers is odd.

(d) If an even number is divided by 2, the quotient is always odd.

(e) All prime numbers are odd.

(f) Prime numbers do not have any factors.

(g) Sum of two prime numbers is always even.

(h) 2 is the only even prime number.

(i) All even numbers are composite numbers.

(j) The product of two even numbers is always even.

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a) sum of 3 odd numbers = 3+5+7 = 15 (odd) = False b) Sum of 2 odd and 1 even number = 3+5+6 = 14 (even) = True c) product of 3 odd numbers = 3x5x7 = 105 (odd) = True d) Any even number is divided by 2 = 8÷ 2 = 4 (even) = False e)2 is a prime number but it is an even number . = False f) as 1...
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a) sum of 3 odd numbers = 3+5+7 = 15 (odd)

= False

b) Sum of 2 odd and 1 even number = 3+5+6 = 14 (even)

= True

c) product of 3 odd numbers = 3x5x7 = 105 (odd)

= True

d) Any even number is divided by 2 = 8÷ 2 = 4 (even) 

= False

e)2 is a prime number but it is an even number .

= False

f) as 1 and the number of itself are the factors for every number therefore False.

= False.

g) Sum of 2 prime numbers = 2+3= 5 (odd)

= False

h) true

i) 2is a prime number

= False

j) Product of 2 even Numbers = 2x4=8 (even)

= True

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(a) False 3 + 5 + 7 = 15, i.e., odd (b) True 3 + 5 + 6 = 14, i.e., even (c) True 3 × 5 × 7 = 105, i.e., odd (d) False 4 ÷ 2 = 2, i.e., even (e) False 2 is a prime number and it is also even (f) False 1 and the number itself are factors of the number (g) False 2 + 3 = 5, i.e., odd (h)...
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(a) False 3 + 5 + 7 = 15, i.e., odd

(b) True 3 + 5 + 6 = 14, i.e., even

(c) True 3 × 5 × 7 = 105, i.e., odd

(d) False 4 ÷ 2 = 2, i.e., even

(e) False 2 is a prime number and it is also even

(f) False 1 and the number itself are factors of the number

(g) False 2 + 3 = 5, i.e., odd

(h) True

(i) False 2 is a prime number

(j) True 2 × 4 = 8, i.e., even

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