Divisibility of a number by 4 or 8

Which of the following statements are true? If a number is divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number is divisible by 8, it must be divisible by 4. If a number is divisible by 18, if it is divisible by both 3 and 6. If a number is divisible by both 9 and 10, it must be divisible by 90. If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately. If a number divides three numbers exactly, it must divide their sum exactly. If two numbers are co-prime, at least one of them must be a prime number. The sum of two consecutive odd numbers is always divisible by 4.

Which of the following statements are true? If a number divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number id divisible by 8,it must be divisible by 4. A number is divisible by 18, if it is divisible by both 3 and 6. If a number divisible by both 9 and 10, it must be divisible by 90.

Study the given statements carefully and select the correct option. Statement-I: A natural number is divisible by 8, if the number formed by last three digits is divisible by 8. Statement-II: 987648 is divisible by 8.

Find the smallest square number that is divisible by each of the numbers 8,15 and 20.

In the given series, how many 8s are there that are not divisible by the number to its left but completely divisible by the number to its right. 5 6 3 2 4 8 8 8 9 2 6 6 5 8 8 3 4 3

Which of the following statements are true? (a) If a number is divisible by 3, it must be divisible by 9. (b) If a number is divisible by 9, it must be divisible by 3. (c) A number is divisible by 18, if it is divisible by both 3 and 6. (d) If a number is divisible by 9 and 10 both, then it must be divisible by 90. (e) If two numbers are co-primes, at least one of them must be prime. (f) All numbers which are divisible by 4 must also be divisible by 8. g) All numbers which are divisible by 8 must also be divisible by 4. (h) If a number exactly divides two numbers separately, it must exactly divide their sum. (i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

Consider the number N774958P96Q(i) If P and the number N is divisible by 3, then number of possible values of Q islare Oi) If N is divisible by 4, then islare (iii) If N is divisible by 8 and 9 both,then number of possible ordered pair (P,Q)

The probability of choosing a number divisible by 6 or 8 from among 1 to 90 is

Test the divisibility of the following numbers by 8:345096 (ii) 215284

Test the divisibility of the following numbers by 8:8364 (ii) 7314 (iii) 36712