Questions & Answers: "Number Systems"

Complete guide to "Number Systems" for Math students. Below you will find important questions and model answers to help you prepare.

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Exemplar

21 Questions

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Every rational number is

Options

❌

a natural number

❌

an integer

✅

a real number

❌

a whole number

Between two rational numbers

Options

❌

there is no rational number

❌

there is exactly one rational number

✅

there are infinitely many rational numbers

❌

there are only rational numbers and no irrational numbers

Decimal representation of a rational number cannot be

Options

❌

terminating

❌

non-terminating

❌

non-terminating repeating

✅

non-terminating non-repeating

The product of any two irrational numbers is

Options

❌

always an irrational number

❌

always a rational number

❌

always an integer

✅

sometimes rational, sometimes irrational

The decimal expansion of the number √2 is

Options

❌

a finite decimal

❌

1.41421

❌

non-terminating recurring

✅

non-terminating non-recurring

Which of the following is irrational?

Options

❌

$Option$

❌

$Option$

✅

$Option$

❌

$Option$

Which of the following is irrational?

Options

❌

0.14

❌

$Option$

❌

$Option$

✅

0.4014001400014...

A rational number between

$Question Diagram$

Options

❌

$Option$

❌

$Option$

✅

1.5

❌

1.8

The value of 1.999... in the form p/q, where p and q are integers and q ≠ 0, is

Options

❌

19/10

❌

1999/1000

✅

❌

1/9

10.

The following is equal to

$Question Diagram$

Options

❌

$Option$

❌

✅

$Option$

❌

$Option$

11.

The following is equal to

$Question Diagram$

Options

❌

$Option$

✅

$Option$

❌

$Option$

❌

$Option$

12.

The number obtained on rationalising the denominator of

$Question Diagram$

Options

✅

$Option$

❌

$Option$

❌

$Option$

❌

$Option$

13.

The following is equal to

$Question Diagram$

Options

❌

$Option$

❌

$Option$

❌

$Option$

✅

$Option$

14.

After rationalising the denominator of the following, we get the denominator as

$Question Diagram$

Options

❌

✅

❌

15.

The value of the following is equal to

$Question Diagram$

Options

❌

$Option$

✅

❌

16.

If √2 = 1.4142, then the following is equal to

$Question Diagram$

Options

❌

2.4142

❌

5.8282

✅

0.4142

❌

0.1718

17.

The following is equal to

$Question Diagram$

Options

❌

$Option$

❌

$Option$

✅

$Option$

❌

$Option$

18.

The following equals to

$Question Diagram$

Options

❌

$Option$

✅

❌

$Option$

❌

$Option$

19.

The value of the following is

$Question Diagram$

Options

✅

$Option$

❌

$Option$

❌

$Option$

20.

The value of the following is

$Question Diagram$

Options

✅

❌

256.25

21.

Which of the following is equal to x?

Options

❌

$Option$

❌

$Option$

✅

$Option$

❌

$Option$