8th Class Mathematics Rational Numbers Question Bank

Rational Numbers Total Questions - 25

1)

Divide the sum of \[\frac{65}{12}\] and \[\frac{12}{7}\] by their difference.

A)
\[\frac{599}{311}\]

B)
\[\frac{680}{216}\]

C)
\[\frac{642}{133}\]

D)
\[\frac{501}{301}\]
View Solution
2)

The sum of the additive inverse and 1 multiplicative inverse of \[\frac{1}{5}\] is _____.

A)
\[\frac{24}{5}\]

B)
\[-\frac{24}{5}\]

C)
\[25\]

D)
\[-25\]
View Solution
3)

The product of two rational numbers is \[\frac{-28}{81}\]. If one of the numbers is\[\frac{14}{27}\], then find the other number.

A)
\[\frac{2}{5}\]

B)
\[\frac{8}{17}\]

C)
\[-\frac{2}{3}\]

D)
\[-\frac{4}{3}\]
View Solution
4)

If \[a=7,\] then the value of \[-\left( \frac{1-2a}{a-5} \right)\] is____.

A)
\[-\frac{13}{2}\]

B)
\[-\frac{15}{2}\]

C)
\[\frac{13}{2}\]

D)
\[\frac{15}{2}\]
View Solution
5)

Which of the following statements is TRUE?

A)
Every point on the number line represents a rational number.

B)
The product of a rational number and its reciprocal is 0.

C)
\[{{(17\times 12)}^{-1}}={{17}^{-1}}\times 12\]

D)
Reciprocal of \[\frac{1}{a},a\ne 0\] is a.
View Solution
6)

The multiplicative inverse of \[-\frac{a}{b}\] is______.

A)
\[\frac{a}{b}\]

B)
\[\frac{b}{a}\]

C)
\[-\frac{b}{a}\]

D)
None of these
View Solution
7)

Which of the following properties of rational numbers is given below? \[\frac{7}{4}\times \left( \frac{-8}{3}+\frac{-13}{12} \right)=\frac{7}{4}\times \frac{-8}{3}+\frac{7}{4}\times \frac{-13}{12}\]

A)
Commutativity of addition

B)
Associativity of multiplication

C)
Distributivity of multiplication over addition

D)
Distributivity of addition over multiplication
View Solution
8)

If \[x=\frac{2+3\times 2}{-5}\], then \[|-x|\] is equal to_____.

A)
\[\frac{8}{5}\]

B)
\[-\frac{8}{5}\]

C)
\[0\]

D)
       \[1\]
View Solution
9)

Which of the following options is true?

A)
\[\frac{5}{7}<\frac{7}{9}<\frac{9}{11}<\frac{11}{13}\]

B)
\[\frac{11}{13}<\frac{9}{11}<\frac{7}{9}<\frac{5}{7}\]

C)
\[\frac{5}{7}<\frac{11}{13}<\frac{7}{9}<\frac{9}{11}\]

D)
\[\frac{5}{7}<\frac{9}{11}<\frac{11}{13}<\frac{7}{9}\]
View Solution
10)

The rational number which is not lying between \[\frac{5}{16}\] and \[\frac{1}{2}\] is________.

A)
\[\frac{3}{8}\]

B)
\[\frac{7}{16}\]

C)
       \[\frac{1}{4}\]

D)
       \[\frac{13}{32}\]
View Solution
11)

Simplify : \[\left( \frac{3}{11}\times \frac{5}{6} \right)-\left( \frac{9}{12}\times \frac{4}{3} \right)+\left( \frac{5}{13}\times \frac{6}{15} \right)\]

A)
\[-\frac{177}{286}\]

B)
       \[-\frac{303}{40}\]

C)
       \[\frac{289}{492}\]

D)
       \[\frac{17}{24}\]
View Solution
12)

What should be subtracted from \[\left( \frac{3}{4}-\frac{2}{3} \right)\]to get\[\frac{-1}{6}\]?

A)
\[-\frac{6}{13}\]

B)
\[\frac{1}{4}\]

C)
\[\frac{2}{7}\]

D)
       \[-\frac{1}{8}\]
View Solution
13)

Simplify: \[\frac{3}{8}+\frac{7}{2}+\left( \frac{-3}{5} \right)+\frac{9}{8}+\left( \frac{-3}{2} \right)+\frac{6}{5}\].

A)
\[\frac{-2}{3}\]

B)
\[\frac{-41}{10}\]

C)
       \[\frac{39}{5}\]

D)
       \[\frac{41}{10}\]
View Solution
14)

If \[x=\frac{2}{3}\] and \[y=\frac{3}{2}\] , then find the value of \[(x+y)\div (x-y)\].

A)
\[\frac{15}{2}\]

B)
\[-\frac{13}{5}\]

C)
\[\frac{17}{6}\]

D)
       \[-\frac{11}{6}\]
View Solution
15)

If \[x=-\frac{4}{11}\], then which of the following rational number lies between x and\[\left| \text{x} \right|\]?

A)
\[\frac{7}{13}\]

B)
\[-\frac{11}{15}\]

C)
\[-\frac{2}{11}\]

D)
       \[\frac{5}{8}\]
View Solution
16)

There are 42 students in a class. Out of these, \[\frac{3}{4}\] of the boys and \[\frac{2}{3}\]of the girls come to school by bus. The total number of boys and girls of the same class who come to school by bus is 30. How many boys are there in the class?

A)
20

B)
       24

C)
       26

D)
       16
View Solution
17)

Mrs Priya earns Rs. 18000 per month. She spends \[\frac{7}{12}\] on household items and \[\frac{1}{8}\] on rest of the things. The amount she saves is ____.

A)
Rs.7120

B)
       Rs.5250

C)
       Rs.5520

D)
       Rs.6562.50
View Solution
18)

One fruit salad recipe requires \[\frac{1}{2}\] cup of sugar. Another recipe for the same fruit salad requires 2 tablespoons of sugar. If 1 tablespoon is equivalent to \[\frac{1}{16}\] cup, how much more sugar does the first recipe require?

A)
\[\frac{\text{4}}{\text{5}}\text{cup}\]

B)
       \[\frac{6}{\text{5}}\text{cup}\]

C)
       \[\frac{3}{8}\text{cup}\]

D)
       \[\frac{\text{5}}{\text{8}}\text{cup}\]
View Solution
19)

The wingspans of different species of birds is given below.

Species of birds Blue jay Golden eagle Seagull Albatross

Length of wingspans \[\frac{41}{100}m\] \[2\frac{1}{2}m\] \[1\frac{7}{10}m\] \[3\frac{3}{5}m\]

How much longer is the wingspan of a Golden eagle than the wingspan of a Blue jay?

A)
\[\frac{209}{100}cm\]

B)
       \[\frac{209}{100}m\]

C)
       \[\frac{9}{100}m\]

D)
       \[\frac{215}{100}cm\]
View Solution
20)

There are few adults and children in a restaurant. If \[\frac{3}{8}\] of the people in the restaurant are adults and there are 90 more children than adults then how many children are there in the restaurant?

A)
180

B)
       200

C)
       225

D)
       230
View Solution
21)

Which of the following options is INCORRECT?

A)
The rational number 0 is the additive identity for rational numbers.

B)
       The additive inverse of the rational number a/b is - a/b and vice-versa.

C)
       Rational numbers are closed under the operations of subtraction, multiplication and division.

D)
       There are infinite rational numbers between any two rational numbers.
View Solution

Column - I	Column - II
(P) Product of a rational number and its reciprocal is	(i) -1
(Q) If \[\frac{12}{30}\] and \[\frac{x}{5}\] are equivalent, then \[x=\]	(ii) 0
(R) \[\left[ \frac{8}{21}\div \left( \frac{-32}{39}\div \frac{16}{13} \right) \right]\times \frac{7}{4}=\]	(iii) 2
(S) Sum of a rational number and its additive inverse is	(iv) 1

(P)\[\to \](iv): (Q)\[\to \](iii); (R)\[\to \](i); (S)\[\to \](ii)

(P)\[\to \](i); (Q)\[\to \](iii): (R)\[\to \](iv); (S)\[\to \](ii)

(P)\[\to \](iv): (Q)\[\to \](iii); (R)\[\to \](ii): (S)\[\to \](i)

(P)\[\to \](i); (Q)\[\to \](iv); (R)\[\to \](iii); (S)\[\to \](ii)

View Solution

23)

Fill in the blanks.

(i) O is neither   P nor   Q .

(ii)   R has/have no reciprocal.

(iii) The rational numbers   S and   T are equal to their reciprocal.

A)

P Q R S T

Positive Negative 1 1/2 -1/2



B)


P Q R S T

Integer Rational 0 -1 0



C)


P Q R S T

Positive Negative 0 1 -1



D)


P Q R S T

Natural Integer -1 1 -1

View Solution

24)

Which of the following options holds?

Statement 1: Rational numbers are closed under division.

Statement 2: The value of \[\left( \frac{-7}{18}\times \frac{15}{-7} \right)-\left( 1\times \frac{1}{4} \right)+\left( \frac{1}{2}\times \frac{1}{4} \right)\] is \[\frac{17}{24}\].

Both Statement -1 and Statement - 2 are true.

Statement-1 is true and Statement - 2 is false.

Statement -1 is false but Statement - 2 is true.

Both Statement - 1 and Statement - 2 are false.

View Solution

25)

State 'T' for true and 'F' for false.

(i) The rational number \[\frac{-8}{-3}\] lies neither to the right nor to the left of zero on the number line.

(ii) The rational numbers \[\frac{1}{2}\] and \[-\frac{5}{2}\] are on the opposite sides of 0 on the number line.

(iii) 0 is the smallest rational number.

(iv) For every rational number\[x,\text{ }x+1=x\].

(i)	(ii)	(iii)	(iv)
F	T	T	F

(i)	(ii)	(iii)	(iv)
T	F	F	F

(i)	(ii)	(iii)	(iv)
F	T	F	F

(i)	(ii)	(iii)	(iv)
T	T	F	F

View Solution

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Species of birds	Blue jay	Golden eagle	Seagull	Albatross
Length of wingspans	\[\frac{41}{100}m\]	\[2\frac{1}{2}m\]	\[1\frac{7}{10}m\]	\[3\frac{3}{5}m\]

P	Q	R	S	T
Positive	Negative	1	1/2	-1/2

P	Q	R	S	T
Integer	Rational	0	-1	0

P	Q	R	S	T
Positive	Negative	0	1	-1

P	Q	R	S	T
Natural	Integer	-1	1	-1

8th Class Mathematics Rational Numbers Question Bank

done Rational Numbers Total Questions - 25

Download Complete Course

Rational Numbers Total Questions - 25