Question Text
Question 1 :
State whether the following statement is True or False.<br/>3.54672 is an irrational number.
Question 2 :
Euclids division lemma can be used to find the $$...........$$ of any two positive integers and to show the common properties of numbers.
Question 3 :
State whether the given statement is True or False :<br/>$$2\sqrt { 3 }-1 $$ is an irrational number.
Question 4 :
If $$a=107,b=13$$ using Euclid's division algorithm find the values of $$q$$ and $$r$$ such that $$a=bq+r$$
Question 5 :
What is the HCF of $$4x^{3} + 3x^{2}y - 9xy^{2} + 2y^{3}$$ and $$x^{2} + xy - 2y^{2}$$?
Question 6 :
The greatest number that will divided $$398, 436$$ and $$542$$ leaving $$7,11$$ and $$14$$ remainders, respectively, is
Question 7 :
Assertion: $$\displaystyle \frac{13}{3125}$$ is a terminating decimal fraction.
Reason: If $$q=2^n \cdot 5^m$$ where $$n, m$$ are non-negative integers, then $$\displaystyle \frac{p}{q}$$ is a terminating decimal fraction.
Question 8 :
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 10 :
Use Euclid's division algorithm to find the HCF of :$$196$$ and $$38220$$