Math Class 6 – Assertion & Reason – Divisibility & Co-primes

Math Class 6 – Assertion & Reason – Divisibility & Co-primes

1. Assertion(A): 84 is divisible by 6 and 7 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
2. Assertion(A): 144 is divisible by 8 and 9 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
3. Assertion(A): 75 is divisible by 3 and 5 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
4. Assertion(A): 90 is divisible by 6 and 10 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
5. Assertion(A): 120 is divisible by 4 and 15 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
6. Assertion(A): 56 is divisible by 9 and 7 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
7. Assertion(A): 100 is divisible by 5 and 8 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
8. Assertion(A): 90 is divisible by 4 and 15 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
9. Assertion(A): 180 is divisible by 7 and 12 which are co-primes.
   Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
   (a) Both A and R are true and R is the correct explanation of A
   (b) Both A and R are true and R is not the correct explanation of A
   (c) A is true but R is false
   (d) A is false but R is true
10. Assertion(A): 150 is divisible by 6 and 10 which are co-primes.
    Reason(R): If a number is divisible by two co-prime numbers, then it is divisible by their product also.
    (a) Both A and R are true and R is the correct explanation of A
    (b) Both A and R are true and R is not the correct explanation of A
    (c) A is true but R is false
    (d) A is false but R is true