ASSERTION-REASONING WORKSHEET CH-5 Prime Time CLASS 6
ASSERTION-REASONING WORKSHEET
Chapter: Prime Time FOR DOWNLOAD PDF CLICK HERE
Class: 6 | NCERT Maths Chapter 5
✍π½ Choose the correct option:
(A) Both Assertion and Reason are true, and Reason is the correct explanation.
(B) Both Assertion and Reason are true, but Reason is not the correct explanation.
(C) Assertion is true, but Reason is false.
(D) Assertion is false, but Reason is true.
Q1.
Assertion (A): A prime number has only two distinct factors.
Reason (R): 7 is divisible by 1 and 7 only.
Option: ___
Q2.
Assertion (A): A composite number has more than two factors.
Reason (R): 10 is a composite number because it has four factors.
Option: ___
Q3.
Assertion (A): 1 is neither prime nor composite.
Reason (R): 1 has only one factor.
Option: ___
Q4.
Assertion (A): 2 is the smallest prime number.
Reason (R): It is the only even prime number.
Option: ___
Q5.
Assertion (A): All prime numbers are odd.
Reason (R): 2 is a prime number.
Option: ___
Q6.
Assertion (A): The HCF of two co-prime numbers is always 1.
Reason (R): Co-prime numbers have no common factor except 1.
Option: ___
Q7.
Assertion (A): The LCM of 6 and 8 is 24.
Reason (R): 24 is the smallest number divisible by both 6 and 8.
Option: ___
Q8.
Assertion (A): Prime factorisation means expressing a number as a product of only prime numbers.
Reason (R): 30 = 2 × 3 × 5 is a prime factorisation.
Option: ___
Q9.
Assertion (A): The number 37 is a prime number.
Reason (R): 37 is divisible only by 1 and 37.
Option: ___
Q10.
Assertion (A): Two even numbers are always co-prime.
Reason (R): All even numbers are divisible by 2.
Option: ___
Q11.
Assertion (A): 5 and 9 are co-prime numbers.
Reason (R): They have no common factor other than 1.
Option: ___
Q12.
Assertion (A): HCF is always greater than LCM.
Reason (R): LCM is the smallest multiple and HCF is the greatest factor.
Option: ___
Q13.
Assertion (A): 13 × 17 = 221 is a product of two prime numbers.
Reason (R): Both 13 and 17 are prime.
Option: ___
Q14.
Assertion (A): Prime numbers are used in encryption and coding.
Reason (R): Prime numbers are difficult to factorise into other primes.
Option: ___
Q15.
Assertion (A): 15 is a prime number.
Reason (R): It has more than two factors.
Option: ___
Q16.
Assertion (A): If a number is divisible by 3 and 4, it is also divisible by 12.
Reason (R): 3 × 4 = 12, and divisibility is always transitive.
Option: ___
Q17.
Assertion (A): A number ending in 5 is divisible by 5.
Reason (R): Divisibility by 5 is based on the last digit being 0 or 5.
Option: ___
Q18.
Assertion (A): 49 is a composite number.
Reason (R): It has three factors: 1, 7, and 49.
Option: ___
Q19.
Assertion (A): All odd numbers are prime.
Reason (R): 9 and 15 are odd and prime.
Option: ___
Q20.
Assertion (A): The number 121 is not a prime number.
Reason (R): It is divisible by 11.
Option: ___
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