Test Details

Real Numbers

Nov 30, 7:30 PM

150 minutes

Dec 01, 5:00 PM

50.0 marks

MCQ

40 questions

STEPS ACADEMY

CA/CS/CMA foundation 11th, 12th Commerce and Science B. com

Class Details

Maths

STEPS ACADEMY 10 Th Std.

Maths

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Question Text

Question 1 :
State the following statement is True or False 35.251252253...is an irrational number

Question 2 :
According to Euclid's division algorithm, HCF of any two positive integers a and b with a > b is obtained by applying Euclid's division lemma to a and b to find q and r such that $a = bq + r$, where r must satisfy

Question 3 :
Without actually dividing find which of the following are terminating decimals.

Question 4 :
For finding the greatest common divisor of two given integers. A method based on the division algorithm is used called ............

Question 10 :
Euclids division lemma, the general equation can be represented as .......

Question 11 :
Which of the following irrational number lies between $\dfrac{3}{5}$ and $\dfrac{9}{10}$

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

Question 17 :
The number of possible pairs of number, whose product is 5400 and the HCF is 30 is

Question 18 :
............. 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 19 :
State whether the following statement is true or false.The following number is irrational $6+\sqrt {2}$

Question 20 :
H.C.F. of $x^3 -1$ and $x^4 + x^2 + 1$ is

Question 23 :
The ........... when multiplied always give a new unique natural number.

Question 24 :
For three irrational numbers $p,q$ and $r$ then $p.(q+r)$ can be

Question 25 :
Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or non -terminating decimal expansion$\displaystyle \frac{15}{1600}$

Question 26 :
Euclids division lemma can be used to find the $...........$ of any two positive integers and to show the common properties of numbers.

Question 27 :
If $a=107,b=13$ using Euclid's division algorithm find the values of $q$ and $r$ such that $a=bq+r$

Question 28 :
State whether the following statement is true or not:$\left( 3+\sqrt { 5 }  \right) $ is an irrational number. 

Question 30 :
Fundamental theorem of arithmetic is also called as ______ Factorization Theorem.

Question 31 :
The greatest number which divides $134$ and $167$ leaving $2$ as remainder in each case is

Question 32 :
In a division sum a student took  $63$  as divisor instead of  $36$. His answer was  $24$. What is the correct answer? 

Question 34 :
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 35 :
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 36 :
The given pair of number $ 231, 396$ are __________ .

Question 38 :
The decimal expansion of the rational number $\displaystyle\frac{23}{2^{3}5^{2}}$, will terminate after how many places of decimal?

Question 39 :
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 40 :
There are five odd numbers $1, 3, 5, 7, 9$. What is the HCF of these odd numbers?

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