Test Details

Real Number

Ntse

Dec 19, 8:30 PM

60 minutes

Dec 19, 9:30 PM

80.0 marks

MCQ

40 questions

satyanarayan sir

I am maths faculty (NITian)

Class Details

Maths Ntse

Class 10th

Maths Ntse

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Question Text

Question 2 :
Write whether every positive integer can be of the form $4q + 2$, where $q$ is an integer.

Question 4 :
In a division operation the divisor is $5$ times the quotient and twice the remainder. If the remainder is $15,$ then what is the dividend?

Question 5 :
$n$  is a whole number which when divided by  $4$  gives  $3 $ as remainder. What will be the remainder when  $2n$  is divided by $4$ ?

Question 6 :
The divisor when the quotient, dividend and the remainder are respectively $547, 171282$ and $71$ is equal to 

Question 9 :
Use Euclid's division lemma to find the HCF of the following 8068 and 12464

Question 10 :
In a division sum, the divisor is $10$ times the quotient and five times the remainder. What is the dividend, if the remainder is $46?$

Question 11 :
A number when divided by  $156$  gives  $29$  as remainder. If the same number is divided by  $13$ , what will be the remainder?

Question 12 :
In a question on division if four times the divisor is added to the dividend then how will the new remainder change in comparison with the original remainder?

Question 13 :
There are five odd numbers $1, 3, 5, 7, 9$. What is the HCF of these odd numbers?

Question 16 :
Find the dividend which when a number is divided by $45$ and the quotient was $21$ and remainder is $14.$

Question 17 :
If $a$ is an irrational number then which of the following describe the additive inverse of $a$.

Question 19 :
If any positive' even integer is of the form 4q or 4q + 2, then q belongs to:

Question 20 :
Find HCF of $70$ and $245$ using Fundamental Theorem of Arithmetic. 

Question 21 :
State whether True or False : All the following numbers are irrationals. (i) $\dfrac { 2 }{ \sqrt { 7 }  } $ (ii) $\dfrac { 3 }{ 2\sqrt { 5 }  }$ (iii) $4+\sqrt { 2 } $ (iv) $5\sqrt { 2 } $

Question 22 :
State whether the following statement is true or not:$7-\sqrt { 2 } $ is irrational.

Question 24 :
Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion. $\dfrac {29}{343}$

Question 25 :
Assuming  that x,y,z  are positive real numbers,simplify the following : $ (\sqrt{x})^{-2/3}\sqrt{y^{4}}\div \sqrt{xy^{-1/2}} $

Question 26 :
State true or false. $\sqrt { 3 } + \sqrt { 4 }$ is an rational number.

Question 27 :
State whether the given statement is True or False : $4-5\sqrt { 2 } $ is an irrational number.

Question 28 :
State whether the following statements are true or false . If a statement is false , justify your answer. HCF of an even number and odd number is always $ 1$.

Question 30 :
State whether the given statement is True or False : $3+\sqrt { 2 } $ is an irrational number.

Question 31 :
If HCF of $210$ and $55$ is of the form $(210) (5) + 55 y$, then the value of $y$ is :

Question 32 :
When the HCF of $468$ and $222$ is written in the form of  $ 468 x + 222y$ then the value of $ x$ and $y$ is 

Question 33 :
Sum of digits of the smallest number by which $1440$ should be multiplied so that it becomes a perfect cube is

Question 34 :
Use Euclid's division lemma to find the HCF of $40$ and $248$.

Question 35 :
Mark the correct alternative of the following. The HCF of $100$ and $101$ is _________.

Question 36 :
The H.C.F of $ 144 $ and $ 198 $ is

Question 37 :
The value of $\sqrt { 1+2\sqrt { 1+2\sqrt { 1+2+.... } } }$ is

Question 38 :
Three ropes are $7\ m, 12\ m\ 95\ cm$ and $3\ m\ 85\ cm$ long. What is the greatest possible length that can be used to measure these ropes?

Question 39 :
In algebra $a \times b$ means $ab$, but in arithmetic $3 \times 5$ is

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