Test Details

Rational Numbers

Unit-1

Nov 10, 6:00 PM

40 minutes

Nov 10, 6:40 PM

58.0 marks

MCQ

30 questions

Sunil Kumar

Sunil Kumar has a M.Sc. in Chemistry from MDU campus Rohtak and 13 years of teaching experience in chemistry.Over the course of his career several students taught by him were able to secure full marks in chemistry in CBSE board, NEET and IIT examination.

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Question Text

Question 1 :
A rational number whose product with a given rational number is equal to a rational  number 

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

Question 5 :
A student divided a number by two when he was required to multiply it by 2. The answer he got was 2. The correct answer should have been

Question 6 :
If we divide a positive integer by another positive integer, what is the resulting number?

Question 7 :
Identify the rational numbers from the box $72, \dfrac {5}{27}, \dfrac {62}{0}, 1\dfrac {3}{5}, -7\dfrac {5}{4}, 0$

Question 10 :
Find whether the following statements are true or false. $\pi$ is an irrational number.

Question 11 :
Choose the rational number which does not lie between rational numbers $ \displaystyle \frac{3}{5} $ and $ \displaystyle \frac{2}{3} $ :

Question 12 :
Write the multiplicative inverse of each of the following rational numbers: $7$; $-11$; $\displaystyle\frac{2}{5}$; $\displaystyle\frac{-7}{15}$

Question 13 :
Which of these is true? $(I)$ $5\sqrt {3}$ is not a rational number $(II)$ $1$ is not the cube of a rational number $(III)$ If a is rational and $n$ is an integer greater than $1$, then ${a}^{n}$ is rational.

Question 14 :
Which of the following rational numbers lies between $\dfrac {-4}{5}$ and $\dfrac {-7}{5}$?

Question 17 :
There are 50 numbers Each numbers is subtracted from 53 and the mean of the numbers so obtained is found to be -3.5 The mean of the given numbers is

Question 18 :
A train of length 180 m crosses a man standing on a platform in 12 seconds and cross another train coming from opposite direction in 12 sec. If the second train running at 2/3 rd speed of the firstthen find the length of the second train?

Question 19 :
Which of the rational number lies between $-\dfrac { 2}{ 3} $ and $\dfrac {1 }{4}$

Question 20 :
Closure property is satisfied in whole numbers w.r.t. to ......... and ......... .

Question 21 :
The value of $\dfrac {1}{\sqrt {9} - \sqrt {8}} - \dfrac {1}{\sqrt {8} - \sqrt {7}} + \dfrac {1}{\sqrt {7} - \sqrt {6}} - \dfrac {1}{\sqrt {6} - \sqrt {5}} + \dfrac {1}{\sqrt {5} - \sqrt {4}}$ is equal to

Question 24 :
State whether the statement is true/false. $8$ can be written as a rational number with any integer as denominator.

Question 29 :
The value of $2\dfrac {1}{2} \times 10 - 4\dfrac {1}{3} \times 10$ is

Question 30 :
A computer is programmed to add $3$ to the number $N$, multiply the result by $3$, subtract $3$, and divide this result by $3$. The computer answer will be

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