Test Details

Real Numbers

Nov 10, 4:00 PM

60 minutes

Nov 10, 5:00 PM

52.0 marks

MCQ

30 questions

Umesh yadav

" we don't teach , we train"

Class Details

Maths

10th

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Question Text

Question 2 :
For finding the greatest common divisor of two given integers. A method based on the division algorithm is used called ............

Question 3 :
What is the HCF of $$4x^{3} + 3x^{2}y - 9xy^{2} + 2y^{3}$$ and $$x^{2} + xy - 2y^{2}$$?

Question 5 :
The number of possible pairs of number, whose product is 5400 and the HCF is 30 is

Question 6 :
For three irrational numbers $$p,q$$ and $$r$$ then $$p.(q+r)$$ can be

Question 9 :
Euclid's division lemma states that for two positive integers a and b, there exist unique integers q and r such that $$a = bq + r$$, where r must satisfy

Question 11 :
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 12 :
 The square of any positive odd integer for some integer $$ m$$ is of the form

Question 13 :
If $$x=6+2\sqrt {6}$$, then what is the value of $$\sqrt { x-1 } +\cfrac { 1 }{ \sqrt { x-1 } } $$?

Question 14 :
State true or false of the following. The predecessor of a two digit number cannot be a single digit number.

Question 15 :
If the square of an odd positive integer can be of the form $$6q + 1 $$ or  $$6q + 3$$ for some $$ q$$ then q belongs to:

Question 16 :
State whether the given statement is True or False : The number $$6+\sqrt { 2 } $$ is irrational.

Question 17 :
If we apply Euclid"s division algorithm for $$20, 8,$$ then the correct answer will be

Question 18 :
A number when divided by  $$156$$  gives  $$29$$  as remainder. If the same number is divided by  $$13$$ , what will be the remainder?

Question 19 :
Using the theory that any positive odd integers are of the form $$4 q + 1$$ or $$4 q + 3$$ where $$q$$ is a positive integer. If quotient is $$4$$, dividend is $$19$$ what will be the remainder?

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

Question 22 :
In a division sum a student took  $$63$$  as divisor instead of  $$36$$. His answer was  $$24$$. What is the correct answer? 

Question 23 :
 One and only one out of  $$n, n + 4, n + 8, n + 12\  and \ n + 16 $$ is ......(where n is any positive integer)

Question 24 :
The H.C.F of $$ 144 $$ and $$ 198 $$ is

Question 25 :
Use Euclid's division lemma to find the HCF of the following 27727 and 53124

Question 26 :
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 27 :
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 29 :
The H.C.F. of two expressions is x and their L.C.M is $$ \displaystyle x^{3}-9x  $$  IF one of the expression is $$ \displaystyle x^{2}+3x  $$  then,the other expression is 

Question 30 :
When a natural number x is divided by 5, the remainder is 2. When a natural number y is divided by 5, the remainder is 4. The remainder is z when x+y is divided by 5. The value of $$\dfrac { 2z-5 }{ 3 } $$ is

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