Rational Numbers(8th Grade > Mathematics ) Questions and answers for exam Preparation

8th Grade > Mathematics

RATIONAL NUMBERS MCQs

Total Questions : 54 | Page 1 of 6 pages

Question 1. How many natural numbers are there

between \frac{3}{10} and \frac{7}{10}

Discuss Question

Answer: Option A. -> 0
:
A
Natural numbers startfrom 1 and goes on as2, 3, 4, ...

\frac{3}{10} = 0.3 and \frac{7}{10} = 0.7

Thus, there areno natural numbers between 0.3 and0.7.

Question 2. Rational numbers can be represented on the number line.

True
False
2
3

Discuss Question

Answer: Option A. -> True
:
A
All real numbers can be represented on a number line and rational numbers are also real numbers. Thus rational numbers can also be represented on the number line.

Question 3. Raju earns ₹ 34000 per month. He spends

\frac{1}{4} t h

of his income on food,

\frac{3}{10} t h

of the remainder on house rent and

\frac{5}{21} t h

of the remainder on education of children. How much money is still left with him?

₹13100
₹13200
₹13300
₹13600

Discuss Question

Answer: Option D. -> ₹13600
:
D
Raju's total monthly income = ₹ 34000
Raju’s expenses on food =

\frac{1}{4} \times 34000

= ₹ 8500
Moneyleft with Raju = 34000 - 8500
= ₹ 25500
House rent =

\frac{3}{10} \times 25500

= ₹ 7650

Now, money left with Raju = 25500 - 7650

= ₹ 17850
Children's education =

\frac{5}{21} \times 17850

= ₹ 4250
Money left with Raju = 17850 – 4250
= ₹13600

Question 4. Product of

\frac{7}{6}

and reciprocal of

\frac{11}{66}

is __________.

Discuss Question

Answer: Option C. -> 7
:
C
Reciprocal of

\frac{11}{66} = \frac{66}{11}

\Rightarrow \frac{7}{6} \times \frac{66}{11} = 7 \times \frac{11}{11} = 7

Question 5. The ___ property states that we can add rational numbers in any order.

commutative
associative
closure
distributive

Discuss Question

Answer: Option A. -> commutative
:
A
The addition of rational numbers can be done in any order and the result remains the same. This is called commutative property.
E.g: 2 + 3 = 3 + 2

Question 6. Which of the following is a rational number between

\frac{1}{3}

and

\frac{5}{3}

Discuss Question

Answer: Option B. -> 43
:
B
In the fractions

\frac{1}{3}

and

\frac{5}{3}

, the denominators are same.
So, considering numerator values, we can find the required rational number.
4 lies between 1 and 5.
So, keep 4 in the numerator and keep the same denominator as it is.
The required rational number is

\frac{4}{3}

Question 7. For what value of

x

\frac{- 12}{x}

is equal to 3?

−4
4
3
−3

Discuss Question

Answer: Option A. -> −4
:
A

\frac{- 12}{x} = 3

\Rightarrow \frac{- 12}{3} = x

x = - 4

Question 8. Which of the following lies between

\frac{25}{4}

and

\frac{22}{3} ?

Discuss Question

Answer: Option A. -> 132
:
A
Rational numbers can be compared by making their denominators equal.
Here,we need to compare allgiven rational numbers