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				Numbers-Data Intensity 3 Multiple Questions and Answers.		 
		           
         
        
		   
		       Exercise Questions ::
		       Numbers  
 
		
		    
			   Answer:   Option  D  
			  
		    
Explanation:  
			 
		    
		 
			  99 = 11 x 9, where 11 and 9 are co-prime.
By hit and trial, we find that 114345 is divisibleby 11 as well as 9. So, it is divisible by 99.
  
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			   Answer:   Option  B  
			  
		    
Explanation:  
			 
		    
		 
			  This is an A.P. in which a  = 6, d  = 6 and Sn  = 1800
Then, 
n  
[2a  + (n  - 1)d ] = 1800 
 
2 
 
 
  
n  
[2 x 6 + (n  - 1) x 6] = 1800 
 
2 
 
 
 3n  (n  + 1) = 1800
 n (n  + 1)  = 600
 n 2  + n  - 600 = 0
 n 2  + 25n  - 24n  - 600 = 0
 n (n  + 25) - 24(n  + 25) = 0
 (n  + 25)(n  - 24) = 0
 n  = 24
Number of terms = 24.
  
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			   Answer:   Option  D  
			  
		    
Explanation:  
			 
		    
		 
			  This is an A.P. in which a  = 51, l  = 100 and n  = 50.
Sum = 
n  
(a  + l ) 
= 
50 
x (51 + 100)   = (25 x 151)   = 3775. 
 
2 
2 
 
 
  
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			   Answer:   Option  C  
			  
		    
Explanation:  
			 
		    
		 
			  
1904 x 1904 
= (1904)2  
 
  
= (1900 + 4)2  
 
  
= (1900)2  + (4)2  + (2 x 1900 x 4) 
 
  
= 3610000 + 16 + 15200. 
 
  
= 3625216. 
 
 
  
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			   Answer:   Option  B  
			  
		    
Explanation:  
			 
		    
		 
			  Unit digit in 795  = Unit digit in [(74 )23  x 73 ] = Unit digit in [(Unit digit in(2401))23  x (343)] = Unit digit in (123  x 343) = Unit digit in (343) = 3
Unit digit in 358  = Unit digit in [(34 )14  x 32 ] = Unit digit in [Unit digit in (81)14  x 32 ] = Unit digit in [(1)14  x 32 ] = Unit digit in (1 x 9) = Unit digit in (9) = 9
Unit digit in (795  - 358 ) = Unit digit in (343 - 9) = Unit digit in (334) = 4.
So, Option B is the answer.
  
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