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6.
1/3rd of the contents of a container evaporated on the 1st day. 3/4th of the remaining evaporated on the second day. What part of the contents of the container is left at the end of the second day?
  • A.
    1/4
  • C.
    1/18
  • B.
    1/2
  • D.
    1/6
  • Answer & Explanation
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Answer : [D]
Explanation :
After first day,
2
3
 rd of the contents remain.  
After second day,
2
3
-
3
4
   
2
3
  =
2
3
-
1
2
=
1
6
 th of the contents remain.
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7.
A man I know fell in love with a women who lived 63 miles away. He decided to propose his beloved and invited her to travel to his place and offered to meet her en route and bring her home. The man is able to cover 4 miles per hour to the women's 3 miles per hour. How far will each have traveled upon meeting?
  • A.
    Man = 27 miles; woman = 36 miles
  • C.
    Man = 40 miles; woman = 23 miles
  • B.
    Man = 36 miles; woman = 27 miles
  • D.
    Man = 45 miles; woman = 18 miles
  • Answer & Explanation
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Answer : [B]
Explanation :
Ratio of speed = Ratio of distance.
Therefore, ratio of distance= 4 : 3. Hence, the man travels 36 miles and the women 27 miles.
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8.
Salaries of A, B and C were in the ratio 3 : 5 : 7, respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of their respective salaries?
  • A.
    4 : 5 : 7
  • C.
    4 : 15 : 18
  • B.
    3 : 6 : 7
  • D.
    9 : 16 : 21
  • Answer & Explanation
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Answer : [D]
Explanation :
New ratio will be
  3 x
150
100
: 5 x
160
100
: 7 x
150
100
         
  =
9
2
: 8 :
21
2
 = 9 : 16 : 21                
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9.
The ratio of boys to girls in an engineering college is 20:1. How many girls need to be added to make this ratio 8 : 3?
  • A.
    26
  • C.
    20
  • B.
    43
  • D.
    Cannot be determined
  • Answer & Explanation
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Answer : [D]
Explanation :
Since the ratio is 20 : 1, the number of boys can be 20, 40, 60, … and number of girls can be 1,2,3,…
Thus, as the number of students is not known, we cannot say for sure the number of girls to be required. Hence, date is insufficient.
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10.
Rs. 770 have been divided among A, B and C such that A receives 2/9th of what B and C together receive. Then A's share is
  • A.
    Rs. 140
  • C.
    Rs. 165
  • B.
    Rs. 154
  • D.
    Rs. 170
  • Answer & Explanation
  • Report
Answer : [A]
Explanation :
A =
2
9
 (B + C)      
A + B + C = 770          
A +
9A
2
 = 770      
 
  11A = 770 x 2  
 
  A = 140  
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