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66.
(51 + 52 + 53 + ..... + 100) is equal to :
  • A.
    2525
  • C.
    3225
  • B.
    2975
  • D.
    3775
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Answer : [D]
Explanation :
 
(51 + 52 + 53 + ........... + 100)
 
=  (1 + 2 + + 3 + ..... + 100) - (1 + 2 + 3 + ........... + 50)
 
=  
100 x 101
2
-
50 x 51
2
   = (5050 - 1275) = 3775.  
 
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67.
What least value must be assigned to * so that the number 63576*2 is divisible by 8?
  • A.
    1
  • C.
    3
  • B.
    2
  • D.
    4
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Answer : [C]
Explanation :
 
The given number is divisible by 8, If the number 6x2 is divisible by 8.
 
Clearly, the least value of x is 3.
 
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68.
The digit in the unit's place of the number represented by (795 – 358) is:
  • A.
    0
  • C.
    6
  • B.
    4
  • D.
    7
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Answer : [B]
Explanation :
 
Unit digit in 74 is 1. So, unit digit in 792 is 1.
 
    Unit digit in 795 is 3. [   Unit digit in 1 x 7 x 7 x 7 is 3]    
 
    Unit digit in 34 is 1.      
 
    Unit digit in 356 is 1.      
 
    Unit digit in 358 is 9.      
 
    Unit digit in (795 - 358) = (13 - 9) = 4.      
 
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69.
18265 + 2736 + 41328 = ?
  • A.
    61329
  • C.
    62319
  • B.
    62239
  • D.
    62329
  • Answer & Explanation
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Answer : [D]
Explanation :
 
18265 + 2736 + 41328 = 62329
 
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70.
If we write all the whole numbers from 200 to 400, then how many of these contain the digit 7 once and only once?
  • A.
    32
  • C.
    35
  • B.
    34
  • D.
    36
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Required numbers from 200 to 300 are 207, 217, 227, 237, 247, 257, 267, 270, 271, 272, 273, 274, 275, 276, 278, 279, 287, 297. Their number is 18.
 
Similarly, such numbers between 300 and 400 are also 18 in number.
 
   Total number of such numbers = 36.  
 
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