10th Class REAL NUMBERS1

Which of the following is not irrational?

• $\pi$

• $\frac{22}{7}$

• $\sqrt{0.4}$

• 16.425871236....

The value of 

 $\log_3\sqrt{81}$  

• 9

• 2

• 4

• 1

HCF of smallest prime and smallest composite number

• 1

• 2

• 3

• 4

 $LCM\ of\ 3^2\times5^3\ and\ 3^3\times5^2$  

• 3 x 5

•  $3^2\times5^3$  

•  $3^6\times5^6$  

•  $3^3\times5^3$  

 $\log\ \frac{x}{y}+\log\ \frac{y}{z}+\log\ \frac{z}{x}\ =$  

• 0

•  $\frac{x}{y}+\frac{y}{z}+\frac{z}{x}$  

• 1

• xyz

The total possible values of 'r', if a=5q+r, where 5 is divisor

• 6

• 5

• 1

• None of these

 $\log_23\ \times\ \log_32\ =$  

• 1

• 6

• 72

• 0

Total number of rational numbers exist between any two two rational numbers

• 2

• 5

• Infinite

• None of these

Product of any two irrational numbers is always irrational

• True

• False

If √p is rational, then 'p' must be

• Prime number

• Composite number

• Perfect square

• Odd number