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46.
6897 is divisible by :
  • A.
    11 only
  • C.
    Both 11 and 19
  • B.
    19 only
  • D.
    neither 11 nor 19
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Answer : [C]
Explanation :
 
Clearly, 6897 is divisible by both 11 and 19.
 
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47.
If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit’s place and the thousandth place respectively are:
  • A.
    0, 6
  • C.
    5, 4
  • B.
    5, 6
  • D.
    None of these
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Answer : [B]
Explanation :
 
Let the required number be 357y25x.
 
Then, for divisibility by 5, we must have x = 0 or x = 5.
 
Case I. When x = 0
 
Then, sum of digits = (22 + y).  For divisibility by 3, (22 + y) must be divisible by 3.
 
    y = 2 or 5 or 8.    
 
    Numbers are (0, 2) or (0, 5) or (0, 8).    
 
Case II. When x = 5.
 
Then, Sum of digits = (27 + y). For divisibility by 3, we must have y = 0 or 3 or 6 or 9.
 
    Numbers are (5, 0) or (5, 3) or (5, 6) or (5, 9).    
 
So, correct answer is (b).
 
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48.
If -1 ≤ x ≤ 2 and 1 ≤ y ≤ 3, then least possible value of (2y - 3x) is:
  • A.
    0
  • C.
    -4
  • B.
    -3
  • D.
    -5
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Answer : [C]
Explanation :
 
 
y ≥ 1   2y ≥ 2
 
x ≤ 2   -3x ≥ -6
 
     (2y - 3x) ≥ -4  
   
 
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49.
3578 + 5729 - ?486 = 5821
  • A.
    1
  • C.
    3
  • B.
    2
  • D.
    None of these
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Answer : [C]
Explanation :
 
Let 3578 + 5729 - x486 = 5821
 
      Then, 9307 - x486 = 5821
 
                         x486 = (9307 - 5821)
 
                         x486 = 3486
 
                              x = 3
 
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50.
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is :
  • A.
    1220
  • C.
    22030
  • B.
    1250
  • D.
    220030
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Answer : [D]
Explanation :
 
Required number = (555 + 445) x 2 x 110 + 30 = 220000 + 30 = 220030.
 
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