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Test Details

Mathematics

Rational number only for saloni gupta

Starts

Jan 02, 7:00 AM

Duration

120 minutes

Deadline

Jan 02, 9:00 AM

Maximum marks

40.0 marks

Question type

MCQ

Total questions

20 questions

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Question Text

Question 1 :

State whether the statement is true (T) or false (F).<br/>The rational number $\dfrac{-8}{-3}$ lies neither to the right nor to the left of zero on the number line.

State whether the statement is true (T) or false (F).<br/>The rational number $\dfrac{-8}{-3}$ lies neither to the right nor to the left of zero on the number line.

Question 5 :

Which one of the following is the rational number lying between $\displaystyle \frac{6}{7} \ and \ \frac{7}{8}?$

Which one of the following is the rational number lying between $\displaystyle \frac{6}{7} \ and \ \frac{7}{8}?$

Question 9 :

Which of the following numbers lies between $\dfrac {-5}{2}$ and $\dfrac {3}{4}$?

Which of the following numbers lies between $\dfrac {-5}{2}$ and $\dfrac {3}{4}$?

Question 10 :

If $\frac {4+3\sqrt 5}{\sqrt 5}=a+b\sqrt 5$ then, the value of b is

If $\frac {4+3\sqrt 5}{\sqrt 5}=a+b\sqrt 5$ then, the value of b is

Question 11 :

Which property of multiplication isillustrated by : $\displaystyle {\frac{-4}{3}\, \times\, \left (\frac{-6}{5}\, +\, \frac{8}{7} \right )\, =\, \left (\frac{-4}{3}\, \times\, \frac{-6}{5} \right )\, +\, \left (\frac{-4}{3}\, \times\, \frac{8}{7} \right )}$

Which property of multiplication isillustrated by : $\displaystyle {\frac{-4}{3}\, \times\, \left (\frac{-6}{5}\, +\, \frac{8}{7} \right )\, =\, \left (\frac{-4}{3}\, \times\, \frac{-6}{5} \right )\, +\, \left (\frac{-4}{3}\, \times\, \frac{8}{7} \right )}$

Question 12 :

The value of $\dfrac {1}{2} \times \left (\dfrac {1}{3} + \dfrac {4}{9}\right )$ is

The value of $\dfrac {1}{2} \times \left (\dfrac {1}{3} + \dfrac {4}{9}\right )$ is

Question 17 :

For any two real number, an operation defined by $a* b= 1 +ab$ is.<br/>

For any two real number, an operation defined by $a* b= 1 +ab$ is.<br/>

Question 18 :

The value of $2\dfrac {1}{2} \times 10 - 4\dfrac {1}{3} \times 10$ is

The value of $2\dfrac {1}{2} \times 10 - 4\dfrac {1}{3} \times 10$ is

Question 20 :

$G$ is a set of all rational numbers except $-1$ and $\ast $ is defined by $a\ast b=a+b+ab$ for all $a,b\in G$, in the group $\left( G,\ast \right) $, the solution of ${ 2 }^{ -1 }\ast x\ast { 3 }^{ -1 }=5$ is

$G$ is a set of all rational numbers except $-1$ and $\ast $ is defined by $a\ast b=a+b+ab$ for all $a,b\in G$, in the group $\left( G,\ast \right) $, the solution of ${ 2 }^{ -1 }\ast x\ast { 3 }^{ -1 }=5$ is

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