Real Numbers - worksheet1-10th Class - multiple choice questions- english medium

Real Numbers Quiz

Class 10 Mathematics (Telangana State Board)

Euclid's Division Lemma

1. For any two positive integers a and b, there exist unique integers q and r such that a = bq + r. What is the condition for the remainder r?

Think about the long division process. Can the remainder be negative? Can it be equal to or larger than the number you are dividing by?

Euclid's Division Lemma

2. Find the Highest Common Factor (HCF) of 52 and 130 using Euclid's division algorithm.

Apply the lemma a = bq + r repeatedly until the remainder is zero, starting with a = 130 and b = 52.

Euclid's Division Lemma

3. Every positive even integer is of the form ________ for some integer q.

What are the multiples of 2? Think about what happens when you multiply any whole number by 2.

Euclid's Division Lemma

4. Every positive odd integer is of the form ________ for some integer q.

If an even number is denoted by 2q, what do you need to add to it to make it odd?

Fundamental Theorem of Arithmetic

5. Express 156 as a product of its prime factors.