Find the biggest 4- digit number which is a perfect square.

• 9999
  
  

• 1899
  
  

• 9000
  
  

• 9801

When x¹³+1 is divided by x-l, then what is the remainder?

• 0
  
  

• 1
  
  

• 2
  
  

• -1

The HCF and LCM of two numbers are 13 and 1989 respectively. If one of the numbers is 117, then the other number is

• 222
  
  

• 221
  
  

• 223
  
  

• 225

The sum of two natural numbers is 8. Determine the numbers if the sum of their reciprocals is $\frac{8}{15}$?

• 1,7

• 4,4

• 2,6

• 5,3

2x-13, 2x-11, 2x-9, 2x-7 are consecutive

• even numbers
  
  

• odd numbers
  
  

• natural numbers
  
  

• prime numbers

A rectangle is divided horizontally into two equal parts. The upper part is further divided into three equal parts and the lower part is divided into four equal parts. Which fraction of the original rectangle is the shaded part?

• $\frac{2}{7}$

• $\frac{4}{7}$

• $\frac{7}{12}$

• $\frac{3}{5}$

The value of $\sqrt{2+\sqrt{3}}+\sqrt{2-\sqrt{3}}$ is

• 6

• $2\sqrt{2}$

• $2\sqrt{3}$

• $\sqrt{6}$

The factorisation of 25-p²-q²-2pq is

• (5+p+q)(5-p-q)
  
  

• (5+p-q)(5-p+q)
  
  

• (5+p-q)(5-p-q)
  
  

• (5+p+q)(5-p+q)

19.

If a, b and c are three natural numbers in ascending order, then

• c² - a² = b²

• c² - a² < b²

• c² + b² = a²

• c² - a² > b

The smallest number by which 68600 must be multiplied to get a perfect cube is

• 10

• 8

• 12

• 5