21.

If 0 < x < l, then it is true that

• x¹⁰⁰ > x¹⁰¹

• x¹⁰⁰ > 1

• x¹⁰⁰ < x¹⁰¹

• x¹⁰¹> 1

In what time will the simple interest be $\frac{2}{5}$of the principal at 8 % per annum?

• 7yr
  
  

• 5yr
  
  

• 8yr
  
  

• 6yr

The smallest number, which multiply to 33275 to get a perfect cube, is

• 3
  
  

• 5
  
  

• 2
  
  

• 6

If HCF of (p²- 8p + 12) and (p² + 4p -12) is (p-a), then the value of a is

• -6
  
  

• 2
  
  

• -2
  
  

• 6

The factors of polynomial x³- 6x² + 11x - 6 are

• (x+1)(x+2)(x-3)
  
  

• (x-1)(x+2)(x-3)
  
  

• (x-1)(x-2)(x-3)
  
  

• (x-1)(x-2)(x+3)

The equation whose roots are $\frac{\mathrm{p}-\mathrm{q}}{\mathrm{p}+\mathrm{q}}$and $-\frac{\mathrm{p}+\mathrm{q}}{\mathrm{p}-\mathrm{q}}$ will be

• $\left({\mathrm{p}}^2+{\mathrm{q}}^2\right){\mathrm{x}}^2+8\mathrm{pqx}-2(\mathrm{p}+\mathrm{q}{)}^2=0$

• ${\mathrm{p}}^2{\mathrm{q}}^2{\mathrm{x}}^2+\mathrm{pqx} +2(\mathrm{p}+\mathrm{q}{)}^2=0$

• $\left({\mathrm{p}}^2-{\mathrm{q}}^2\right){\mathrm{x}}^2+4\mathrm{pqx}-{\mathrm{p}}^2+{\mathrm{q}}^2=0$

• $\frac{{\mathrm{p}}^2}{{\mathrm{q}}^2}{\mathrm{x}}^2+\frac{\mathrm{p}}{\mathrm{q}}\mathrm{x} +{\left(\mathrm{p}+\mathrm{q}\right)}^2=0$

The marks of 16 students in math in monthly test are 0, 0, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5,6, 6, 7, 8, then mode will be

• 5
  
  

• 6
  
  

• 3
  
  

• 7

If $3^{2\mathrm{x}+1}-3^{\mathrm{x}}=3^2$ , then the values of x are

• 1,-2
  
  

• -1,-2
  
  

• 0,1
  
  

• 2,-1

In a leap year, the probability of getting 53 Sunday is

• $\frac{2}{7}$

• $\frac{3}{7}$

• $\frac{1}{7}$

• $\frac{4}{7}$

If distance between centre to chord is 12 cm and length of chord is 10 cm, then the diameter of circle is

• 26 cm
  
  

• 14 cm
  
  

• 13 cm
  
  

• 30 cm