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 :
$2\times 2\times 2\times 3\times 3\times 13 = 2^{3} \times 3^{2} \times 13$ is equal to
Question 7 :
State whether the given statement is True or False :<br/>$5-2\sqrt { 3 } $ is an irrational number.
Question 8 :
Use Euclid's division lemma to find the HCF of the following 65 and 495.
Question 9 :
State whether the given statement is True or False :<br/>$4-5\sqrt { 2 } $ is an irrational number.<br/>
Question 10 :
Find the expression which is equivalent to : $\displaystyle \frac { { x }^{ 3 }+{ x }^{ 2 } }{ { x }^{ 4 }+{ x }^{ 3 } } $?
Question 13 :
If $P=\dfrac {{x}^{2}-36}{{x}^{2}-49}$ and $Q=\dfrac {x+6}{x+7}$ then the value of $\dfrac {P}{Q}$ is:
Question 14 :
The common quantity that must be added to each term of $a^{2}:b^{2}$ to make itequal to $a:b$ is:
Question 16 :
If $3{p}^{2}=5p+2$ and $3{q}^{2}=5q+2$, where $p\ne q$, then $pq$ is equal to
Question 17 :
Evaluate: $\displaystyle \frac { x\left( 8{ x }^{ 2 }-32 \right)  }{ 8x\left( x-4 \right)  } $
Question 18 :
Evaluate: $\displaystyle \frac { 35\left( x-3 \right) \left( { x }^{ 2 }+2x+4 \right)  }{ 7\left( x-3 \right)  } $
Question 20 :
If $p+q=1$ andthe ordered pair (p, q) satisfies $3x+2y=1$,then it also satisfies
Question 21 :
What is the nature of the graphs of a system of linear equations with exactly one solution?
Question 22 :
The solution of the simultaneous equations $\displaystyle \frac{x}{2}+\frac{y}{3}=4\: \: and\: \: x+y=10 $ is given by
Question 23 :
What is the equation of the line through (1, 2) so that the segment of the line intercepted between the axes is bisected at this point ?
Question 25 :
Find the value of x and y using cross multiplication method: <br>$3x - 5y = -1$ and $x + 2y = -4$
Question 26 :
Solve: $4x\, +\, \displaystyle \frac{6}{y}\, =\, 15$ and $6x\, -\,  \displaystyle \frac{8}{y}\, =\, 14$<br/>Hence, find 'a' if $y\, =\, ax\, -\, 2$
Question 27 :
If the product of two numbers is $10$ and their sum is $7$, which is the greatest of the two numbers?