Which of the following statements are true?
(a) If a number is divisible by 3, it must be divisible by 9.
False. We can prove it with the help of an example. 12 is divisible by 3 but it is not divisible by 9.
(b) If a number is divisible by 9, it must be divisible by 3.
True. If a given number is divisible by some number then it is also divisible by its factor.
(c) A number is divisible by 18, if it is divisible by both 3 and 6.
False. 12 is divisible by both 3 and 6 but it is not divisible by 18.
(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.
True. This is because if a number is divisible by two given co-prime numbers then it is also divisible by their product. We know that 9 and 10 are co-primes and their product is equal to 90.
(e) If two numbers are co-primes, at least one of them must be prime.
False. Take an example, 8 and 9 are co-prime numbers and none of them is a prime number.
(f) All numbers which are divisible by 4 must also be divisible by 8.
False. 12 is divisible by 4 but it is not divisible by 8.
(g) All numbers which are divisible by 8 must also be divisible by 4.
True. If a number is divisible by another number then it is divisible by each of the factors of that number.
(h) If a number exactly divides two numbers separately, it must exactly divide their sum.
True. Take different examples and check this property.
(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.
False. Let’s take an example, 9 and 3 are not divisible by 4 but their sum is divisible by 4.
Archa says
My exam is very easy
Lakshita says
Thanks for solving my problem .
Sneha says
Me too
I am also in class 6 but I am new in class 6 and I am for 1 month in class 6
. says
-_-
Hiya says
Thanks for solving my problem. As it is lockdown so I wasn’t getting proper teaching Thanks
Lavanya says
Thanks very very much 🙏🙏🇮🇳🇮🇳🇮🇳👍😊😊😊
Souhard says
Thank u very useful during lockdown period
Mamtaz says
thanks for it, it helped me to solve all the questions. I am thankful for that. 👍👍👍👍😀😀
Aditya Raj Sinha says
Thanks for solving my problem in lockdown
Abantika says
Thank you very much for solving my problem. Thank you so much.☺️
Aditya Singha. says
Thank you for solving my
problem.
M . Anjana says
Thank u for solving these
naisha says
these all aswers are wrong .take 36 it is divisble by 3 and 6 and by 18
Jashan says
This is not how logic works. If you can give one example which is false then whole statement like “A number is divisible by 18, if it is divisible by both 3 and 6.” becomes false.
Astha Subhashrao Bansare says
How
VANDANA says
It was really helpful …I was having doubt on last true false question and now I understood😊😊♥️
Astha Subhashrao Bansare says
Thanks in a lockdown I don’t get answers of my questions 😃😃
Sonakshi says
Thank you 😒😒😒