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71. The difference between the squares of two consecutive numbers is 37. Find the numbers.
  A.  17, 18
  B.  18, 19
  C.  21, 22
  D.  19, 20
     
   
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72. Two consecutive numbers are 8 and 9. Find the difference of their squares.
  A.  15
  B.  19
  C.  17
  D.  13
     
   
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73. The sum of two numbers is 13 and the sum of their squares is 85. Find the numbers.
  A.  10, 3
  B.  4, 9
  C.  8, 5
  D.  6, 7
     
   
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74. The sum of squares of two numbers is 90 and the square of their difference is 46. The product of the two numbers is:
  A.  22
  B.  24
  C.  26
  D.  20
     
   
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75. The product of two numbers is 143. The sum of their squares is 290. Find the sum of the two numbers also find the difference of the two numbers.
  A.  Sum: 12; Difference: 4
  B.  Sum: 34; Difference: 2
  C.  Sum: 24; Difference: 2
  D.  Sum: 24; Difference: 4
     
   
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76. The denominator of a rational number is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The rational number is:
  A.  
8 / 5
  B.  
5 / 8
  C.  
3 / 8
  D.  
8 / 3
     
   
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77. The denominator of a fraction is 2 more than thrice its numerator. If the numerator as well as denominator is increased by one, the fraction becomes
1 / 3
. What was the original fraction.
  A.  
11 / 3
  B.  
9 / 11
  C.  
5 / 11
  D.  
3 / 11
     
   
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78. When a number is added to another number the total becomes 150 percent of the second number. What is the ratio between the first and the second number?
  A.  2 : 1
  B.  1 : 3
  C.  1 : 2
  D.  3 : 1
     
   
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79. The sum of three consecutive even numbers is 15 less than three-fourth of 60. What is the middle number?
  A.  10
  B.  20
  C.  30
  D.  40
     
   
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80. Two different numbers when divided by the same divisor, left reainders 11 and 21 respectively, and when their sum was divided by the same divisor, remainder was 4. What is the divisor?
  A.  26
  B.  28
  C.  30
  D.  24
     
   
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