Question 2 :
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 3 :
What is the HCF of $4x^{3} + 3x^{2}y - 9xy^{2} + 2y^{3}$ and $x^{2} + xy - 2y^{2}$?
Question 5 :
$2\times 2\times 2\times 3\times 3\times 13 = 2^{3} \times 3^{2} \times 13$ is equal to
Question 7 :
The number of possible pairs of number, whose product is 5400 and the HCF is 30 is<br>
Question 9 :
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 :
H.C.F. of $x^3 -1$ and $x^4 + x^2 + 1$ is
Question 11 :
State whether the following statement is true or not:$7-\sqrt { 2 } $ is irrational.
Question 13 :
Use Euclid's division lemma to find the HCF of the following 65 and 495.
Question 14 :
Use Euclid's division lemma to find the HCF of $40$ and $248$.
Question 15 :
State true or false of the following.<br>If a and b are natural numbers and $a < b$, than there is a natural number c such that $a < c < b$.<br>
Question 16 :
State whether the given statement is True or False :<br/>$2-3\sqrt { 5 }$ is an irrational number.
Question 19 :
According to Euclid's division algorithm, using Euclid's division lemma for any two positive integers $a$ and $b$ with $a > b$ enables us to find the<br/>
Question 20 :
If any positive' even integer is of the form 4q or 4q + 2, then q belongs to:<br/>
Question 21 :
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
