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CBSE Class 6  >  Class 6 Notes  >  Mathematics  >  RS Aggarwal Solutions: Prime Time (Exercise 4D)

RS Aggarwal Solutions: Prime Time (Exercise 4D)

Assertion Reason Questions

Directions: Each question consists of two statements, namely, Assertion (A) and Reason (R).
For selecting the correct answer, use the following codes:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.

Q1: Assertion (A): 8 is one of the factors of 32.
Reason (R): Every factor of a number N is always smaller than N.
Ans: (c) Assertion (A) is true but Reason (R) is false.
32 ÷ 8 = 4
∴ 8 is a factor of 32.
So, the assertion is true.
Every factor of a number is less than or equal to N.
∴ The reason is false.

Q2: Assertion (A): 210 is divisible by 5.
Reason (R): A number is divisible by 5 only if its unit digit is 0.
Ans: (c) A is true, but R is false.
210 ÷ 5 = 42
∴ The assertion is true.
A number is divisible by 5 if its unit digit is 0 or 5.
∴ The Reason is false.

Q3: Assertion (A): The number 49132 is divisible by 8.
Reason (R): A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
Ans: (d) A is false, but R is true.
Last three digits of 49132 is 132
132 ÷ 8 = 16.5, it means 132 is not divisible by 8
∴ 49132 is not divisible by 8
Hence, the assertion is false.
A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
∴ The reason is true.

The document RS Aggarwal Solutions: Prime Time (Exercise 4D) is a part of the Class 6 Course Mathematics for Class 6.
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FAQs on RS Aggarwal Solutions: Prime Time (Exercise 4D)

1. What are prime numbers?
Ans. Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. In other words, a prime number is a number that cannot be formed by multiplying two smaller natural numbers.
2. How can we identify prime numbers?
Ans. To identify prime numbers, one can check if a number is divisible by any integer other than 1 and itself. If it is not divisible by any such integers, it is classified as a prime number. A common method is to test divisibility by prime numbers up to the square root of the target number.
3. What are composite numbers?
Ans. Composite numbers are natural numbers greater than 1 that have more than two positive divisors. This means they can be divided evenly by numbers other than just 1 and themselves, indicating that they can be formed by multiplying two or more natural numbers.
4. Can you provide examples of prime and composite numbers?
Ans. Examples of prime numbers include 2, 3, 5, 7, and 11, as they have no divisors other than 1 and themselves. Examples of composite numbers include 4, 6, 8, 9, and 10, as they can be divided by numbers other than 1 and themselves.
5. Why are prime numbers important in mathematics?
Ans. Prime numbers are essential in mathematics as they serve as the building blocks for all natural numbers through multiplication. They play a critical role in number theory, cryptography, and various algorithms, making them fundamental in both theoretical and applied mathematics.
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Apr 29, 2026 Last updated
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