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

• One
  
  

• two
  
  

• three
  
  

• more than three

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

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

From a pack of 52 playing cards, a card is drawn at random. What is the probability that the card is a spade or an ace?

• $\frac{4}{13}$

• $\frac{6}{13}$

• $\frac{8}{13}$

• $\frac{2}{5}$

8.

In the given figure, ABCD is a cyclic quadrilateral. Then, the ordered pair (x,y) is

• (15^o, 25^o)
  
  

• (10^o, 15^o)
  
  

• (15^o, 35^o)
  
  

• (40°, 35°)

For what value of x, the mode of the following data is 27?

25,26,27,23,27,26,24,x,27,26,25,25
 

• 27
  
  

• 24
  
  

• 25
  
  

• 26

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

• 6
  
  

• 2
  
  

• 8
  
  

• 0