Question

1. If three natural numbers are grouped together to form a triplet such that they are pair wise coprime, then which of the following set of numbers does not form a triplet?

a. (2, 3, 7)
b. (2,9, 11)
c. (3, 5, 7)
d. (3,4,9)

2. The greatest number of four digits, which is exactly divisible by each of 16, 24, 35 and 42 is

a. 8462
b. 8400
c. 8692
d. None of these

3. Three sets of English, Mathematics and Science books containing 336, 240 and 96 books, respectively have to be stacked in such a way that all the books are stored subject wise and the height
of each stack is the same. So, the total number of stacks will be

a. 14
b. 21
c. 22
d. 48

4. A school bus can either accommodate 40 children or 30 adults. Given that there
are already 24 children and 8 adults seated in the bus, how many more adults can be seated in the bus?
a. 5
b. 4
c. 3
d. 2

5. The LCM of two numbers is 24 times their HCF. The sum of their HCF and LCM is 375. If one of the numbers is 45, then what is the other number?

a. 124
b. 120
b. 118
d. 121

6. The HCF of 6/7 , 24/35 and 42/49 is

a. 6/254
b. 9/365
c. 3/254
d. 6/245
Please answer all the questions.
The person who will answer will be the follower by me and I will mark him as Brainliest

and please explain
please please please ​

Answer 1

Answer:

We know that prime number is a number which is only divisible by itself.

(a) In the triplet (2,3,7), all the three numbers 2,3 and 7 are prime numbers, so they are pairwise co-prime. Therefore, these numbers are tri-prime.

(b) In the triplet (2,9,11), all the three numbers 2,9 and 11 are prime numbers, so they are pairwise co-prime. Therefore, these numbers are tri-prime.

(c) In the triplet (3,5,7), all the three numbers 3,5 and 7 are prime numbers, so they are pairwise co-prime. Therefore, these numbers are tri-prime.

(d) In the triplet (3,4,9), the numbers 3 and 9 are not pairwise prime because 9 is divisible by 3. Therefore, these numbers are not tri-prime.

Hence, the triplet (3,4,9) is not tri-prime.