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03 Feb 2014, 01:26
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
59% (02:08) correct
41%
(02:10)
wrong
based on 4633
sessions
History
Date
Time
Result
Not Attempted Yet
Today Rose is twice as old as Sam and Sam is 3 years younger than Tina. If Rose, Sam, and Tina are all alive 4 years from today, which of the following must be true on that day?
I. Rose is twice as old as Sam.
II. Sam is 3 years younger than Tina.
III. Rose is older than Tina.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
I. Rose is twice as old as Sam.
II. Sam is 3 years younger than Tina.
III. Rose is older than Tina.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
03 Feb 2014, 01:26
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SOLUTION
Today Rose is twice as old as Sam and Sam is 3 years younger than Tina . If Rose, Sam, and Tina are all alive 4 years from today, which of the following must be true on that day?
I. Rose is twice as old as Sam.
II. Sam is 3 years younger than Tina.
III. Rose is older than Tina.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
Notice that we are asked which of the following MUST be true not COULD be true.
Stem says that "Sam is 3 years younger than Tina" which naturally be exactly so ANY number of years from today. So, II is always true. Which means that the answer is B (II only), D (I and II only) or E (II and III only).
Analyze options I and III:
I. Rose is twice as old as Sam.
III. Rose is older than Tina
Now, if today Rose is 4 years old, Sam is 2 years old and Tina is 5 years old then after 4 years Rose will be 8 years old, Sam is will be 6 years old and Tina will be 9 years old, so neither option I nor option III holds true.
Answer: B (II only).
Today Rose is twice as old as Sam and Sam is 3 years younger than Tina . If Rose, Sam, and Tina are all alive 4 years from today, which of the following must be true on that day?
I. Rose is twice as old as Sam.
II. Sam is 3 years younger than Tina.
III. Rose is older than Tina.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
Notice that we are asked which of the following MUST be true not COULD be true.
Stem says that "Sam is 3 years younger than Tina" which naturally be exactly so ANY number of years from today. So, II is always true. Which means that the answer is B (II only), D (I and II only) or E (II and III only).
Analyze options I and III:
I. Rose is twice as old as Sam.
III. Rose is older than Tina
Now, if today Rose is 4 years old, Sam is 2 years old and Tina is 5 years old then after 4 years Rose will be 8 years old, Sam is will be 6 years old and Tina will be 9 years old, so neither option I nor option III holds true.
Answer: B (II only).
mbaapp1234
GMAT 2: 760 Q49 V44
Posts: 82
02 Jun 2017, 09:58
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arkle
In this case, algebra is your friend since picking values may lead you astray.
R = 2S
S = T -3
T = T
T = T + 4
S = T-3 + 4
R = 2(T-3) + 4
T = T+ 4
S = T + 1
R = 2T - 6 + 4 = 2T -2
In this case, Rose is no longer twice as old as Sam. So (I) is incorrect. But Sam is still 3 years younger than Tina (think about why that fact must be true regardless). Lastly, Rose is not necessarily older than Tina.
2T - 2 > T + 4 ?
T - 2 > 4 ?
T > 6 ?
Rose is older than Tina if Tina was more than 6 years old four years ago. In other words, it's not necessarily true and (III) is out. So the answer is (B).
