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22 Dec 2015, 00:23
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E
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The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?
A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.
A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.
22 Dec 2015, 00:57
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Bunuel
The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?
A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.
A. 2 : 3
B. 6 : 7
C. 8 : 9
D. 8 : 3
E. It cannot be determined from the information given.
let quantities are 2x and 3x
ratio of quantities after each is increased by 6 = (2x+6)/(3x+6)
For x = 1, (2x+6)/(3x+6) = 8/9
For x = 2, (2x+6)/(3x+6) = 10/12
The value of final expression is dependent on the value of x which can't be determined as per given information. Hence, The answer can not be determined
Answer: Option E
22 Dec 2015, 23:19
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IMO, the answer is E.
Plug in method: let's call x/y ratio = 2/3.
We can have:
x = 2, y =3: x/y =2/3. If x, y increase by 6 x/y = (2+6)/(3+6) = 8/9
x= 4, y =6: x/y = 2/3. If x,y increase by 6 x/y = (4+6)/(6+6) = 10/12 = 5/6.
Therefore we cannot determine the value of (x+6)/(y+6).
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Please kudo me if you think my answer is good
Plug in method: let's call x/y ratio = 2/3.
We can have:
x = 2, y =3: x/y =2/3. If x, y increase by 6 x/y = (2+6)/(3+6) = 8/9
x= 4, y =6: x/y = 2/3. If x,y increase by 6 x/y = (4+6)/(6+6) = 10/12 = 5/6.
Therefore we cannot determine the value of (x+6)/(y+6).
----------------------------------------------------------------
Please kudo me if you think my answer is good
