model 1 basic number system Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [R.R.B. 2006]

All natural numbers and 0 are called as _______ numbers.

a) Rational

b) Integers

c) Whole

d) Prime

Answer: (c)

The counting numbers {1, 2, 3, ...} are commonly called natural numbers; however, include 0, so that the non-negative integers {0, 1, 2, 3, ...} are also called natural numbers.

Natural numbers including 0 are also called whole numbers.

Also, Refer to Types of Numbers.

Question : 2

Consider the following statements about natural numbers: (1) There exists a smallest natural number. (2) There exists a largest natural number. (3) Between two natural numbers, there is always a natural number. Which of the above statements is/are correct?

a) None

b) Only 1

c) 1 and 2

d) 2 and 3

Answer: (b)

1) There exists the smallest natural number - which is 1. So, true.

2) There exists a largest natural number - there is no upper limit to numbers. So, false.

3) Between two natural numbers there is always a natural number - for example, between 1 and 2 there is no natural number. So, false.

Hence, only option 1 is true.

Question : 3

Every rational number is also

a) an integer

b) a real number

c) a natural number

d) a whole number

Answer: (b)

Both rational and irrational numbers taken together are called Real numbers.

Therefore, every real number is either a rational number or an irrational number. Hence, every rational number is a real number.

Hence, (B) is the correct option.

Question : 4 [R.R.B., 2005]

The number $π$ is

a) a fraction

b) a recurring decimal

c) a rational number

d) an irrational number

Answer: (d)

Pi ($π$) is an irrational number

π is an irrational number that has a value of 22/7 or 3.142…and is a never-ending and non-repeating number.

Irrational numbers are non-terminating

Question : 5

$√2$ is a/an

a) rational number

b) natural number

c) irrational number

d) integer

Answer: (c)

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