Real Numbers - MCQ with Solution

Real Numbers is an important topic in mathematics, particularly in the context of Class 10. It involves the study of rational and irrational numbers, their properties, and operations. Here, we will discuss some multiple-choice questions (MCQs) related to Real Numbers, along with their solutions.

1. Which of the following is not a rational number?
a) -3/4
b) 0.7
c) √2
d) 5/6

Solution:
The answer is option c) √2. A rational number is a number that can be expressed as a fraction, where the numerator and denominator are integers. Option c) √2 is an irrational number, as it cannot be expressed as a fraction. Therefore, it is not a rational number.

2. The number 0 is:
a) a natural number
b) a whole number
c) an integer
d) none of the above

Solution:
The answer is option d) none of the above. The natural numbers start from 1 and do not include 0. Therefore, 0 is not a natural number. It is also not a whole number, as whole numbers include both positive and negative integers along with zero. However, 0 is an integer, as it can be represented as a number without any fractional or decimal part.

3. The sum of an irrational number and a rational number is always:
a) rational
b) irrational
c) an integer
d) none of the above

Solution:
The answer is option b) irrational. When we add an irrational number and a rational number, the result is always an irrational number. This is because the sum of a rational number and an irrational number cannot be expressed as a ratio of two integers.

4. Which of the following is not a real number?
a) -√9
b) 0
c) π
d) i

Solution:
The answer is option d) i. Real numbers include rational and irrational numbers, but they do not include complex numbers. The number i represents the imaginary unit and is used in complex numbers. Therefore, it is not a real number.

These are just a few examples of MCQs related to Real Numbers. By understanding the concepts and properties of real numbers, you will be able to solve such questions effectively. Remember to analyze each option carefully and select the correct answer based on the given information.

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