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08 Apr 2021, 06:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
58% (02:32) correct
42%
(02:50)
wrong
based on 212
sessions
History
Date
Time
Result
Not Attempted Yet
The ratio of the ages of John and Suzy is 5 : 6. Which of the following can be the ratio of their ages after 10 years?
(A) 2 : 3
(B) 13 : 20
(C) 11 : 15
(D) 4 : 5
(E) 9 : 10
(A) 2 : 3
(B) 13 : 20
(C) 11 : 15
(D) 4 : 5
(E) 9 : 10
11 Apr 2021, 02:33
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current ratio = 5/6 = 84%
After 10 years the ratio must become closer to 1 (100%)
which eliminates all choices except E = 9/10 = 90%
A = 2/3 = 60%
B = 13/20 = less than 15/20 = less than 75%
C = 11/15 = close to 2/3 = close to 66 %
D = 4/5 = 80 %
After 10 years the ratio must become closer to 1 (100%)
which eliminates all choices except E = 9/10 = 90%
A = 2/3 = 60%
B = 13/20 = less than 15/20 = less than 75%
C = 11/15 = close to 2/3 = close to 66 %
D = 4/5 = 80 %
General Discussion
08 Apr 2021, 11:10
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Given: The ratio of the ages of John and Suzy is 5 : 6.
Asked: Which of the following can be the ratio of their ages after 10 years?
Let the ages of John and Suzy be 5k & 6k respectively.
Ratio of their ages after 10 years = (5k+10)/(6k+10)
(A) 2 : 3
(5k+10)/(6k+10) = 2/3
15k + 30 = 12k + 20
3k = -10;
NOT POSSIBLE
(B) 13 : 20
(5k+10)/(6k+10) = 13/20
100k + 200 = 78k + 120
22k = -80
NOT POSSIBLE
(C) 11 : 15
(5k+10)/(6k+10) = 11/15
75k + 150 = 66k + 110
9k = - 40
NOT POSSIBLE
(D) 4 : 5
(5k+10)/(6k+10) = 4/5
25k + 50 = 24k + 40
k = -10
NOT POSSIBLE
(E) 9 : 10
(5k+10)/(6k+10) = 9/10
50k + 100 = 54k + 90
4k = 10
k = 10/4 = 2.5
POSSIBLE
IMO E
Asked: Which of the following can be the ratio of their ages after 10 years?
Let the ages of John and Suzy be 5k & 6k respectively.
Ratio of their ages after 10 years = (5k+10)/(6k+10)
(A) 2 : 3
(5k+10)/(6k+10) = 2/3
15k + 30 = 12k + 20
3k = -10;
NOT POSSIBLE
(B) 13 : 20
(5k+10)/(6k+10) = 13/20
100k + 200 = 78k + 120
22k = -80
NOT POSSIBLE
(C) 11 : 15
(5k+10)/(6k+10) = 11/15
75k + 150 = 66k + 110
9k = - 40
NOT POSSIBLE
(D) 4 : 5
(5k+10)/(6k+10) = 4/5
25k + 50 = 24k + 40
k = -10
NOT POSSIBLE
(E) 9 : 10
(5k+10)/(6k+10) = 9/10
50k + 100 = 54k + 90
4k = 10
k = 10/4 = 2.5
POSSIBLE
IMO E
