9th prakash 1,2,6,12

A rational number equivalent to

 $\frac{5}{7}$  is 

•  $\frac{15}{17}$  

•  $\frac{25}{27}$  

•  $\frac{10}{14}$  

•  $\frac{10}{27}$  

If the decimal representation of a number is non-terminating, non-repeating then the number is

• a natural number

• a rational number

• a whole number

• an irrational number

 $\left(-7\ +\ 4\sqrt{7}\ -\ 3\sqrt{7}\right)\ is\$  

• a positive rational number

• an irrational number

• a negative rational number

• equal to zero

on simplifying

 $8^3\times2^4$  , we get

•  $16^7$  

•  $2^{13}$  

•  $2^{10}$  

•  $8^4$  

Simplified value of

 $\sqrt{\frac{\left(\sqrt{12}-\sqrt{8}\right)\left(\sqrt{3}+\sqrt{2}\right)}{5+\sqrt{24}}}$  is 

•  $\sqrt{6}-2$  

•  $2\ -\ \sqrt{6}$  

• 0

• 1

If

 $x\ -\ \frac{1}{x}$  = -1 , find value of  $x^2\ +\ \frac{1}{x^2}$  

• 1

• 2

• 3

• 4

Value of a, if (y - a) is factor of the polynomial p(y) = y³ -ay² + a - 1

• 1

• 2

• a

• 2a

If x¹⁴⁰ + 2x¹⁵¹ + k is divisible by x + 1, then value of k is

• 1

• -3

• 2

• -2

Which of the polynomial has (x -1) as factor ?

  $\left(i\right)\ x^3+x^2+x\ -3$   $\left(ii\right)\ x^4\ +\ x^3\ +\ x^2\ +\ x\ +\ 1$  
 $\left(iii\right)\ x^4\ +\ 3x^3\ +\ 3x^2\ +\ x\ -\ 8$  
 $\left(iv\right)\ x^3\ -\ x^2\ -\left(2+\sqrt{2}\right)x\ +\ \sqrt{2}$  

• (i)

• (iii)

• (ii) and (iv)

• (i) and (iii) 

Factorise :  $3x^3\ +\ 2x^2\ +\ 3x\ +\ 2$  

•  $\left(3x\ -2\right)\left(x^2-1\right)$  

•  $\left(3x\ -\ 2\right)\left(x^2+1\right)$  

•  $\left(3x+2\right)\left(x^2-1\right)$  

•  $\left(3x+2\right)\left(x^2+1\right)$