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31. The average of 7 consecutive integers is 7. Find the average of the squares of these integers.
  A.  54
  B.  53
  C.  55
  D.  56
     
   
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32. Find the least number which, when divided by 13,15 and 19, leaves the remainder 2,4, and 8 respectively.
  A.  3694
  B.  3696
  C.  3698
  D.  3692
     
   
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33. Find the greatest number that will divide 55, 127 and 175 so as to leave the same remainder in each case.
  A.  22
  B.  26
  C.  28
  D.  24
     
   
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34. The ratio between a two-digit number and the sum of the digits of that number is 4:1. If the digit in the unit's place is 3 more than the digit in the ten's place, what is the number?
  A.  34
  B.  38
  C.  36
  D.  40
     
   
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35. Find the remainder when 713 + 1 is divided by 6.
  A.  1
  B.  2
  C.  3
  D.  4
     
   
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36. Find the remainder when (25625 + 241) is divided by 24.
  A.  4
  B.  6
  C.  2
  D.  8
     
   
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37. A number on being divided by 5 and 7 successively leaves the remainders 2 and 4 respectively. Find the remainder when the same number is divided by 5 × 7 = 35.
  A.  20
  B.  24
  C.  26
  D.  22
     
   
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38. Find the number of zeros at the end of the products.
12 × 18 × 15 × 40 × 25 × 16 × 55 × 105
  A.  5 zeros
  B.  6 zeros
  C.  7 zeros
  D.  8 zeros
     
   
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39. Find the number of zeros at the end of the product
150 × 250 × 625 × 125 × 75 × 20 × 16
  A.  9
  B.  7
  C.  5
  D.  8
     
   
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40. Find the number of different divisors of 50, besides unity and the number itself.
  A.  3
  B.  5
  C.  4
  D.  6
     
   
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