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Real Numbers
Question Bank

Question Bank - Real Numbers

Real Numbers

Question Bank

Real Numbers

Question Bank - Real Numbers

Q1.

What is the Fundamental Theorem of Arithmetic and why is it important in the study of real numbers?

Single Answer MCQ
Q-00001175
Q2.

Explain the concept of irrational numbers and provide examples.

Single Answer MCQ
Q-00001176
Q3.

How can you determine if a number is irrational or rational?

Single Answer MCQ
Q-00001177
Q4.

Discuss the properties of real numbers and how they are classified.

Single Answer MCQ
Q-00001178
Q5.

How can you represent real numbers on a number line?

Single Answer MCQ
Q-00001179
Q6.

What is the Fundamental Theorem of Arithmetic?

Single Answer MCQ
Q-00002143
Q7.

Explain the concept of prime numbers.

Single Answer MCQ
Q-00002144
Q8.

Define composite numbers and provide examples.

Single Answer MCQ
Q-00002145
Q9.

How can you determine if a number is irrational?

Single Answer MCQ
Q-00002146
Q10.

Discuss the properties of irrational numbers.

Single Answer MCQ
Q-00002147
Q11.

Explain the concept of rational numbers.

Single Answer MCQ
Q-00002148
Q12.

Differentiate between rational and irrational numbers.

Single Answer MCQ
Q-00002149
Q13.

How can you represent irrational numbers on a number line?

Single Answer MCQ
Q-00002150
Q14.

Discuss the concept of real numbers.

Single Answer MCQ
Q-00002151
Q15.

Explain the process of finding the square root of a number.

Single Answer MCQ
Q-00002152
Q16.

What is the Fundamental Theorem of Arithmetic and why is it important in the study of real numbers?

Single Answer MCQ
Q-00002570
Q17.

Explain the concept of irrational numbers and provide examples.

Single Answer MCQ
Q-00002571
Q18.

How can you determine if a number is irrational or rational?

Single Answer MCQ
Q-00002572
Q19.

Discuss the properties of real numbers and how they are classified.

Single Answer MCQ
Q-00002573
Q20.

How can you represent real numbers on a number line?

Single Answer MCQ
Q-00002574
Q21.

Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method.

Text
Q-00003998
Q22.

Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Text
Q-00003999
Q23.

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54

Text
Q-00004000
Q24.

Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25

Text
Q-00004001
Q25.

Given that HCF (306, 657) = 9, find LCM (306, 657).

Text
Q-00004002
Q26.

Check whether 6n can end with the digit 0 for any natural number n

Text
Q-00004003
Q27.

Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers

Text
Q-00004004
Q28.

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

Text
Q-00004005
Q29.

Prove that sqrt of 3 is irrational.

Text
Q-00004006
Q30.

Show that 5– sqrt of 3 is irrational.

Text
Q-00004007
Q31.

Show that 3*(sqrt of 2) is irrational.

Text
Q-00004009
Q32.

Prove that sqrt of 5 is irrational.

Text
Q-00004010
Q33.

Prove that 3 + 2*sqrt of 5  is irrational.

Text
Q-00004011
Q34.

Prove that the following are irrationals : (i) 1/sqrt 2 (ii) 7 *sqrt 5 (iii) 6 + sqrt 2

Text
Q-00004012

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Real Numbers Summary, Important Questions & Solutions | All Subjects

Worksheet

Worksheet

Revision Guide

Revision Guide

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Flash Cards

Formula Sheet

Formula Sheet