1.Which of the following is a false statement? a. If a number has an odd number

Question

1.Which of the following is a false statement? a. If a number has an odd number of factors, then it is a perfect square. b. Ifa b, then GCF(a, b)- a c. If GCF(a, b), then a and b are both prime. d. 149 is a prime number Which of the following is a true statement? a. If a number is divisible by 2 and 3, then it is divisible by6 b. If 2l a and 2 | b, then GCF(a, b)-2 c. All prime numbers are odd. d. If2 | a and 6 | a, then 12a. Which of the following is a false statement? a. If GCF(a, b)-1, then LCM(a, b) ab. b. For nonzero numbers a, b, c, if a | b and a | (b+c), then alc e. GCFa d. 1310. 2. a, a) 1 for any nonzero number a. 4 Which of the following is a true statement? a. 0 13 b. For nonzero numbers a, b, c, if a l (bc), then a l b and a | c. c. Ifa | b and a | c, then a l (b-c). d. Ifa | be then a | b.

Explanation / Answer

1. C) a,b both are need not be prime any one of them prime can also satisfy the condition

2. C) all prime numbers are odd is true

3. C) GCF(a,a)=a not 1

4. D)

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