Test Details

Real Numbers

Unit-1

Nov 11, 7:00 PM

40 minutes

Nov 11, 7:40 PM

40.0 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.

Class Details

English

Physics

Chemistry

Maths

Class-12 NM

English

Physics

Chemistry

Maths

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Question Text

Question 1 :
Let $x=\dfrac { p }{ q } $ be a rational number, such that the prime factorization of $q$ is of the form $2^n 5^m$, where $n, m$ are non-negative integers. Then $x$ has a decimal expansion which terminates.

Question 2 :
State True or False:$4\, - \,5\sqrt 2 $ is irrational if $\sqrt 2 $ is irrational.

Question 5 :
If $a=\sqrt{11}+\sqrt{3}, b =\sqrt{12}+\sqrt{2}, c=\sqrt{6}+\sqrt{4}$, then which of the following holds true ?

Question 7 :
$2\times 2\times 2\times 3\times 3\times 13 = 2^{3} \times 3^{2} \times 13$ is equal to

Question 8 :
The statement dividend $=$ divisor $\times$ quotient $+$ remainder is called 

Question 9 :
A rectangular veranda is of dimension $18$m $72$cm $\times 13$ m $20$ cm. Square tiles of the same dimensions are used to cover it. Find the least number of such tiles.

Question 10 :
State whether the following statement is true or false.The following number is irrational $7\sqrt {5}$

Question 11 :
State whether the given statement is True or False : $2\sqrt { 3 }-1 $ is an irrational number.

Question 12 :
Without actually dividing find which of the following are terminating decimals.

Question 14 :
State whether the following statement is true or not:$\left( 3+\sqrt { 5 }  \right) $ is an irrational number. 

Question 16 :
Euclids division lemma can be used to find the $...........$ of any two positive integers and to show the common properties of numbers.

Question 19 :
We need blocks to build a building. In the same way _______ are basic blocks to form all natural numbers .

Question 20 :
A number $x$ when divided by $7$  leaves a remainder $1$ and another number $y$ when divided by $7$  leaves the remainder $2$. What will be the remainder if $x+y$ is divided by $7$?

Question 21 :
State whether the given statement is True or False : $5-2\sqrt { 3 } $ is an irrational number.

Question 22 :
State true or false of the following. If a and b are natural numbers and $a < b$, than there is a natural number c such that $a < c < b$.

Question 27 :
State whether the given statement is True or False : $\sqrt { 3 } +\sqrt { 4 } $ is an irrational number.

Question 29 :
If a = 0.1039, then the value of $\sqrt{4a^2-4a+1}+3a$ is :

Question 30 :
Sum of digits of the smallest number by which $1440$ should be multiplied so that it becomes a perfect cube is

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