REAL NUMBERS

 $\frac{4+3\sqrt{5}}{4-3\sqrt{5}}=a+b\sqrt{5}$  , then (a,b) is?

•  $\left(\frac{61}{29},\frac{-24}{29}\right)$  

•  $\left(\frac{-61}{29},\frac{24}{29}\right)$  

•  $\left(\frac{61}{29},\frac{24}{29}\right)$  

•  $\left(\frac{-61}{29},\frac{-24}{29}\right)$  

Which of the following is not a Real Number?

(May contain multiple answers)

• $\sqrt{-2}$

• $\sqrt{9}$

• $\sqrt{1296}$

• 20+19i

• $\sqrt{-45}$

 $HCF\left(a,b\right)\times LCM\left(a,b\right)=$  

(a)  

If the HCF of two numbers is the smaller number, then what is the LCM of the two numbers ?

• Larger Number

• $\frac{HCF}{smaller\ number}$

• HCF * smaller number

• 1

• 3

After how many decimal places do

 $\frac{1}{7}$  terminate ?

• 7

• 6

• 10

• 13

• None Of The Above

The Greatest number on which 70,125,288 divides and gives the remainder as 2,5,9 respectively. Then to solve this we:-

• Add the remainder with the number

• Substract the number from the remainder

• Substract the remainder from the number

• divide the number with the remainder

 $HCF\ >LCM$  (for any two numbers)

• True

• False

Which of the following are natural numbers?

(May contain multiple answers)

• 0

• $\sqrt{4}$

• $\sqrt{9801}$

• $\sqrt{556}$

• 8

What is

 $\pi$  ?
(May contain multiple answers)

• irrational number but terminating 

• irrational number

• rational number

• natural number

• irrational number but not terminating

If there is a rational number in the form of

 $\frac{p}{q}$  and the factors of q are 2,5,9. Then which type of number is this ?

• Terminating

• Non Terminating

• Both 1 and 2

• None Of The 2