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24 Jul 2018, 00:24
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (02:33) correct
32%
(03:00)
wrong
based on 152
sessions
History
Date
Time
Result
Not Attempted Yet
The number of singles that a baseball player hit increased 11 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. If the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
(A) 1:3
(B) 9:11
(C) 1:1
(D) 2:1
(E) 11:3
(A) 1:3
(B) 9:11
(C) 1:1
(D) 2:1
(E) 11:3
24 Jul 2018, 01:24
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Solution
Given:
- • The number of singles that a baseball player hit increased 11 percent from her first season to her second season
• The the number of doubles that she hit in the same time period decreased by 1 percent
• Total number of singles and doubles that she hit increased 2 percent from her first season to her second season
To find:
- • The ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season
Approach and Working:
We can directly get the answer using allegation as follows:
Therefore, the ratio is 3: 9 or 1: 3.
Hence, the correct answer is option A.
Answer: A
24 Jul 2018, 02:28
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let singles be S and doubles Be D
2nd session singles=111S/100
Doubles=99D/100
Again total single and double increased by 2%
111S/100+99D/100=102/100(S+D)
Dividing by D
111/100(S/D)+99/100=102/100(S/D)+102/100
S/D=1/3
2nd session singles=111S/100
Doubles=99D/100
Again total single and double increased by 2%
111S/100+99D/100=102/100(S+D)
Dividing by D
111/100(S/D)+99/100=102/100(S/D)+102/100
S/D=1/3
