If ${\left(\frac{5}{7}\right)}^4\times {\left(\frac{5}{7}\right)}^{-3}={\left(\frac{5}{7}\right)}^{5x-2}$ ,then x is equal to

• $\frac{2}{5}$

• $\frac{3}{5}$

• $\frac{4}{5}$

• $\frac{1}{5}$

Find the square root of(272)²- (128)².

• 200
  
  

• 240
  
  

• 256
  
  

• 144

The polynomial ax³ + bx² + x - 6 has (x+ 2) as a factor and leaves remainder 4 when divided by (x-2) Find the value of a and b.

• a=2,b=0
  
  

• a=1,b=1
  
  

• a=0,b=2
  
  

• a=7,b=5

A non-terminating but recurring decimal is

• an integer
  
  

• a natural number
  
  

• a rational number
  
  

• an irrational number

5.

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

• x¹⁰⁰ > x¹⁰¹

• x¹⁰⁰ > 1

• x¹⁰⁰ < x¹⁰¹

• x¹⁰¹> 1

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)

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

If a, a + 2, a + 4 are prime numbers, then the number of values of a is

• One
  
  

• two
  
  

• three
  
  

• more than three