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26 Apr 2019, 07:21
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
92% (00:49) correct
8%
(00:58)
wrong
based on 689
sessions
History
Date
Time
Result
Not Attempted Yet
How old is Jane?
(1) Ten years ago she was one-third as old as she is now.
(2) In 15 years, she will be twice as old as she is now.
ID: 700125
DS89502.01
(1) Ten years ago she was one-third as old as she is now.
(2) In 15 years, she will be twice as old as she is now.
ID: 700125
DS89502.01
26 Apr 2019, 13:06
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Bunuel
How old is Jane?
(1) Ten years ago she was one-third as old as she is now.
(2) In 15 years, she will be twice as old as she is now.
(1) Ten years ago she was one-third as old as she is now.
(2) In 15 years, she will be twice as old as she is now.
Target question: How old is Jane?
Statement 1: Ten years ago she was one-third as old as she is now.
Let x = Jane's PRESENT age
So, x - 10 = Jane's age TEN YEARS AGO
We can write: x - 10 = x/3
Multiply both sides by 3 to get: 3x - 30 = x
Subtract 3x from both sides: -30 = -2x
Solve: x = 15
The answer to the target question is Jane is 15 years old
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: In 15 years, she will be twice as old as she is now
Let x = Jane's PRESENT age
So, x + 15 = Jane's age FIFTEEN YEARS FROM NOW
We can write: 2x = x + 15
Subtract x from both sides: x = 15
The answer to the target question is Jane is 15 years old
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
23 May 2019, 07:34
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Solution
Steps 1 & 2: Understand Question and Draw Inferences
We need to find the age of Jane.
- • Let us assume that the present age of Jane is x years.
Hence, we need to find the value of x.
As we do not have any relevant information to infer from, let us now analyse the individual statements.
Step 3: Analyse Statement 1
“Ten years ago, she was one-third as old as she is now.”
- • Age of Jane ten years ago = (Present age of Jane)/3
• Ten years ago, the age of Jane was = x – 10 years.
Hence, x – 10 = x/3
- 3x – 30 = x
From this equation, we can easily find the value of x.
Thus, statement 1 is sufficient to answer the question.
Step 4: Analyse Statement 2
“In 15 years, she will be twice as old as she is now.”
- • Age of Jane 15 years after Now = 2 × Present age of Jane
• After 15 years, age of Jane will be = x + 15
x + 15 = 2x
From this equation, we can easily find the value of x.
Thus, statement 2 is sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)
Since we could determine the answer from either of the statements individually, this step is not required.
Hence, the correct answer is option D.
