Real Numbers - MCQ Test for Class 10 Mathematics

Real numbers are an important concept in mathematics that includes all the rational and irrational numbers. To assess your understanding of real numbers, a multiple-choice question (MCQ) test can be a useful tool. Here is a test with solutions for Class 10 Mathematics:

MCQ Test for Real Numbers:

1. Which of the following numbers is a real number?
a) 3 + i
b) √2
c) -5/7
d) π

2. Which of the following numbers is an irrational number?
a) 0.5
b) 3/4
c) √5
d) 1.25

3. Which of the following is a rational number?
a) √7
b) -2.3
c) 2/3
d) π

4. Which of the following is a real number?
a) √-9
b) 0
c) 3i
d) 7/0

5. Which of the following is not a real number?
a) -1
b) 0
c) 1
d) i

Solutions to the MCQ Test:

1. Option c) -5/7
- The number -5/7 is a rational number and, therefore, a real number.

2. Option c) √5
- The square root of 5 (√5) is an irrational number because it cannot be expressed as a fraction or a terminating or repeating decimal.

3. Option c) 2/3
- The number 2/3 is a rational number as it can be expressed as a fraction.

4. Option b) 0
- The number 0 is a real number. It is neither positive nor negative and lies on the number line.

5. Option d) i
- The letter "i" represents the imaginary unit, which is not a real number. It is used to denote the square root of -1.

In conclusion, the MCQ test for real numbers assesses your knowledge of different types of numbers and their classifications. It helps you identify rational and irrational numbers, as well as distinguish between real and imaginary numbers. By answering these multiple-choice questions, you can evaluate your understanding of real numbers and strengthen your mathematical knowledge.