Number Systems Test

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Number Systems Test - 1

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Weekly Quiz Competition

Question 1
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Which of the following is a true statement?

A
π is rational and 22/7 is rational

B
π is rational and 22/7 is irrational

C
π is irrational and 22/7 is rational

D
π is irrational and 22/7 is irrational

Solution

Explanation:

π is irrational because 22/7 is not the exact value of π

But,here 22/7 is fraction so ,it is rational
Question 2
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The difference of two irrational numbers is

A
always rational

B
always an integer

C
always irrational

D
either irrational or rational

Solution

Explanation:

Difference of two irrationals need not be an irrational.

Example—each one of (5 + √2) and (3 — √2) is irrational.

But, (5+√2) — (3+√2) = 2, which is rational.
Question 3
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The sum of two irrational numbers is

A
always rational

B
either irrational or rational

C
always irrational

D
always an integer

Solution

Explanation:

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
Question 4
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Between any two rational numbers there

A
are many rational numbers

B
are exactly two rational numbers

C
is no irrational number

D
is no rational number

Solution

Explanation:

Between any two rational number there are many rational number,

Example — 4 and 8

We have 5,6,7,7.5,,,,,,, and many more
Question 5
1 / -0

The decimal representation of an irrational number is

A
neither terminating nor repeating

B
either terminating or non-repeating

C
always terminating

D
always non-terminating

Solution

Explanation:

An irrational number can not be written in the form of p/q

And decimal representation of it is neither terminating nor repeating.
Question 6
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Every rational number is

A
an integer

B
a real number

C
a natural number

D
a whole number

Solution

Explanation:

Real numbers are the numbers that can be placed on number line

And rational number can be placed on number line so all rational numbers are real number.
Question 7
1 / -0

Which of the following is an rational number?

A
√31

B
√196

C
√180

D
0.323223222322223…….

Solution

Explanation:

Because it is the square of 14 and can be

Written in the form of p/q
Question 8
1 / -0

Which of the following is an irrational number?

A
2.717¯

B
2.717

C
2.717171717171………

D
2.717117111711117…………

Solution

Explanation:

an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal)

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Number Systems Test - 1

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Number Systems Test - 1

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Question 1

π is rational and 22/7 is rational

π is rational and 22/7 is irrational

π is irrational and 22/7 is rational

π is irrational and 22/7 is irrational

Solution

Question 2

always rational

always an integer

always irrational

either irrational or rational

Solution

Question 3

always rational

either irrational or rational

always irrational

always an integer

Solution

Question 4

are many rational numbers

are exactly two rational numbers

is no irrational number

is no rational number

Solution

Question 5

neither terminating nor repeating

either terminating or non-repeating

always terminating

always non-terminating

Solution

Question 6

an integer

a real number

a natural number

a whole number

Solution

Question 7

√31

√196

√180

0.323223222322223…….

Solution

Question 8

2.717¯

2.717

2.717171717171………

2.717117111711117…………

Solution

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