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

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

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

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

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

If A and B are non- empty subsets of a set C, then  A$\cup$(A$\cap$B) is equal to 

• A$\cap$B
  
  

• AB
  
  

• A
  
  

• B

The population of a village increases by 5% yearly. If at present the population of the village is 4410, then what was the population before two years?

• 4420
  
  

• 4430
  
  

• 4440
  
  

• 4000

A company makes an advertisement of shares to collect a capital of 25 lakh. If the printed price of one share is $₹$100, then find the number of shares circulated by the company.

• 20000
  
  

• 25000
  
  

• 30000
  
  

• 15000

25.

If x=2, y=1, z=-3, then x³+ y³ = z³- 3xyz equals

• 6
  
  

• 2
  
  

• 8
  
  

• 0

In a religious gathering, the ratio of the number of ladies to that of gents was 3:2. When 20 more gents joined, the ratio was reversed. The number of ladies was

• 36
  
  

• 40
  
  

• 16
  
  

• 24

For three non-zero real numbers a, b, c if $\frac{\mathrm{a}}{2}$=$\frac{\mathrm{b}}{3}$=$\frac{\mathrm{c}}{4}$=$\frac{2\mathrm{a}-3\mathrm{b}+5\mathrm{c}}{\mathrm{k}}$

• 10
  
  

• 15
  
  

• 20
  
  

• 25

If A and B be any two sets such that A/B= A, then A$\cap$B is

• $\mathrm{\varphi }$

• A

• B

• A$\cup$B

If the roots of the equation x²-bx+c=0 are two consecutive integers, then b²- 4c is

• 1
  
  

• -1
  
  

• 0
  
  

• 2

Jatin buys an article for 10% less than its value and sells it for 10% more than its value. His gain is

• 20 %
  
  

• $22\frac{7}{9}$%
  
  

• $22\frac{2}{9}$%
  
  

• None of these