Test Details

Real Numbers

Nov 17, 12:00 PM

60 minutes

Nov 17, 3:00 PM

37.0 marks

MCQ

30 questions

SHREEJI ACADEMY

It is a institute where students will get proper knowledge of maths not by cramming but by understanding the concept.

Class Details

Maths

Science

GSP GROPU 10TH

Maths

Science

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Question Text

Question 2 :
State whether the following statement is true or false.The following number is irrational<br/>$7\sqrt {5}$

Question 3 :
Assertion: The denominator of $34.12345$ is of the form $2^n \times 5^m$, where $m, n$ are non-negative integers. Reason: $34.12345$ is a terminating decimal fraction.

Question 5 :
State whether the following statement is true or false.The following number is irrational<br/>$6+\sqrt {2}$

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

Question 7 :
Without actually dividing find which of the following are terminating decimals.

Question 8 :
We need blocks to build a building. In the same way _______ are basic blocks to form all natural numbers .

Question 9 :
State whether the given statement is True or False :<br/>$2\sqrt { 3 }-1 $ is an irrational number.

Question 12 :
$2\times 2\times 2\times 3\times 3\times 13 = 2^{3} \times 3^{2} \times 13$ is equal to

Question 13 :
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 14 :
H.C.F. of $x^3 -1$ and $x^4 + x^2 + 1$ is

Question 16 :
What is the HCF of $4x^{3} + 3x^{2}y - 9xy^{2} + 2y^{3}$ and $x^{2} + xy - 2y^{2}$?

Question 19 :
State whether the following statement is true or not:$\left( 3+\sqrt { 5 }  \right) $ is an irrational number. 

Question 21 :
Using fundamental theorem of Arithmetic find L.C.M. and H.C.F of $816$ and $170$.

Question 22 :
To get the terminating decimal expansion of a rational number $\dfrac{p}{q}$. if $q = 2^m 5^n$ then m and n must belong to .................

Question 25 :
............. states that for any two positive integers $a$ and $b$ we can find two whole numbers $q$ and $r$ such that $a = b \times q + r$ where $0 \leq r < b .$

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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