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6.
The difference between the numerator and denominator of a fraction is 5. If 5 is added to its
denominator the fraction is decreased by 1
1
4
. Find the value of the fraction
  • A.
    		 1
    6
  • B.
    		 3
    1
    4
    		 
  • B.
    		 2
    1
    4
    		 
  • D.
    6
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
Let the denominator of the fraction be = x
Then, numerator = x + 5
x + 5
x
-
x + 5
x + 5
=
5
4
   
 
 
x + 5
x
=
5
4
 + 1  
 
 
x + 5
x
=
9
4
 = 2
1
4
 
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7.
The difference between 120 percent of a number and its three – forth is 50% of that number. What is that number?
  • A.
    64
  • C.
    48
  • B.
    94
  • D.
    Data Inadequate
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
Let the number be x
120%x -
3
4
x = 50%x      
120x
100
-
3
4
x =
50x
100
   
 
 
6x
5
-
3x
4
=
x
2
       
 
 
24x - 15x
20
=
x
2
       
 
 
9x
20
-
x
2
       
 
  The equation cannot be solved
 
  Data inadequate
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8.
A bridge crosses a river which is 228 meters wide. If one bank of the river holds 1/5th of the bridge and the other holds 1/6th of it, what is the total length of the bridge?
  • A.
    360 m
  • C.
    350 m
  • B.
    360 m
  • D.
    591 m
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
Let the length of the bridge = x m
One bank holds =
1
5
of bridge
Other bank holds =
1
6
of bridge
x -  
x
5
+
x
6
   = 228        
 
x -
11x
30
 = 228  
19x
30
 = 228
 
  x =
228 x 30
19
 
 
  x = 360 meteres.    
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9.
Out of three consecutive even numbers, nine times the smallest is 20 more than seven times the biggest. What is the middle number?
  • A.
    24
  • C.
    42
  • B.
    26
  • D.
    46
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
Let the 3 consecutive even numbers be x, x + 2 and x + 4.
Given, 9x = 7 (x + 4) + 20
 
  9x = 7x + 28 + 20
 
  2x = 45
 
  x = 24
 
  Middle number = 24 + 2 = 26
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10.
The sum of two consecutive odd numbers in a set of three consecutive odd number is 7 more than the third number. What is the second number?
  • A.
    26
  • C.
    15
  • B.
    11
  • D.
    10
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
Let the numbers be x, x + 2 and x + 4
x + x + 2 = x + 4 + 7
 
  x + x + 2 - x = 11
x = 11 – 2 = 9
 
  The second number = x + 2 = 9 + 2 = 11
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