Question 1
1 Mark
Every rational number is
Options
Option A
a natural number
Option B
an integer
Option C is correct
a real number
Option D
a whole number
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.
21 Questions
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Question 2
1 Mark
Between two rational numbers
Options
Option A
there is no rational number
Option B
there is exactly one rational number
Option C is correct
there are infinitely many rational numbers
Option D
there are only rational numbers and no irrational numbers
Question 3
1 Mark
Decimal representation of a rational number cannot be
Options
Option A
terminating
Option B
non-terminating
Option C
non-terminating repeating
Option D is correct
non-terminating non-repeating
Question 4
1 Mark
The product of any two irrational numbers is
Options
Option A
always an irrational number
Option B
always a rational number
Option C
always an integer
Option D is correct
sometimes rational, sometimes irrational
Question 5
1 Mark
The decimal expansion of the number √2 is
Options
Option A
a finite decimal
Option B
1.41421
Option C
non-terminating recurring
Option D is correct
non-terminating non-recurring
Question 6
1 Mark
Which of the following is irrational?
Options
Option A 
Option B 
Option C is correct
Option D 
Question 7
1 Mark
Which of the following is irrational?
Options
Option A
0.14
Option B 
Option C 
Option D is correct
0.4014001400014...
Question 8
1 Mark
Question 9
1 Mark
The value of 1.999... in the form p/q, where p and q are integers and q ≠ 0, is
Options
Option A
19/10
Option B
1999/1000
Option C is correct
2
Option D
1/9
Question 10
1 Mark
Question 11
1 Mark
Question 12
1 Mark
The number obtained on rationalising the denominator of
Options
Option A is correct
Option B 
Option C 
Option D 
Question 13
1 Mark
Question 14
1 Mark
After rationalising the denominator of the following, we get the denominator as
Options
Option A
13
Option B is correct
19
Option C
5
Option D
35
Question 15
1 Mark
The value of the following is equal to
Options
Option A 
Option B is correct
2
Option C
4
Option D
8
Question 16
1 Mark
If √2 = 1.4142, then the following is equal to
Options
Option A
2.4142
Option B
5.8282
Option C is correct
0.4142
Option D
0.1718
Question 17
1 Mark
Question 18
1 Mark
Question 19
1 Mark
Question 20
1 Mark
The value of the following is
Options
Option A is correct
4
Option B
16
Option C
64
Option D
256.25
Question 21
1 Mark
Which of the following is equal to x?
Options
Option A 
Option B 
Option C is correct
Option D 