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Difficulty:
25%
(medium)
Question Stats:
74% (01:24) correct
26%
(01:30)
wrong
based on 1235
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If the recommended weight \(w\), in pounds, for a male is given in terms of his height \(h\), in inches, by the formula \(w= 4.5h-154\), how much greater is Eric's recommended weight than Tom's, according to this formula?
(1) Eric is 4 inches taller than Tom.
(2) According to the formula, Tom's recommended weight is 152 pounds.
(1) Eric is 4 inches taller than Tom.
(2) According to the formula, Tom's recommended weight is 152 pounds.
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broilerc
The equation has two variables ..
let height and weight of Eric =\(h_e\)and \(w_e\)..
and those of Tom =\(h_t\)and \(w_t.\).
the two eqs now are ..
\(w_e= 4.5h_e-154\)..
\(w_t= 4.5h_t-154\)...
we are looking for\(w_e-w_t\)..
subtract the two equations..
\(w_e-w_t= 4.5(h_e-h_t)\)...
so we require either the individual heights OR the difference..
(1) Eric is 4 inches taller than Tom.
this gives us \(h_e-h_t\)
Suff
(2) According to the formula, Tom's recommended weight is 152 pounds.
Nothing about height
Insuff
A
_________________
St1; Tom's recommended weight = 4.5t - 154
Eric's recommended weight = 4.5(t + 4) - 154
Eric exceeds Tom's weight by 4.5(t + 4) - 154 - 4.5t + 154 = 18
Sufficient
St2: Insufficient. We can find Tom's height using this statement but we do not have any information about Eric.
Answer: A
Eric's recommended weight = 4.5(t + 4) - 154
Eric exceeds Tom's weight by 4.5(t + 4) - 154 - 4.5t + 154 = 18
Sufficient
St2: Insufficient. We can find Tom's height using this statement but we do not have any information about Eric.
Answer: A
General Discussion
1) Use simple difference in height to calculate Weight via formula in question stem
2) Nothing about Eric or his height - insuff.
2) Nothing about Eric or his height - insuff.
Stem: w = 4.5h – 154
What is Eric's weight (EW) - Tom's weight (TW)
S1) E = Eric's height; T = Tom's height
E = T+4
Eric's Weight: 4.5E – 154 = 4.5(T+4) – 154
Tom's Weight: 4.5T – 154
EW - TW
(4.5(T+4) – 154) - (4.5T – 154)
Sufficient
S2) TW = 152
Nothing is given for Eric.
Not Sufficient
Answer: A
What is Eric's weight (EW) - Tom's weight (TW)
S1) E = Eric's height; T = Tom's height
E = T+4
Eric's Weight: 4.5E – 154 = 4.5(T+4) – 154
Tom's Weight: 4.5T – 154
EW - TW
(4.5(T+4) – 154) - (4.5T – 154)
Sufficient
S2) TW = 152
Nothing is given for Eric.
Not Sufficient
Answer: A
Prasannathawait
Joined: 10 Aug 2018
Last visit: 15 Jun 2020
Posts: 213
Location: India
Concentration: Strategy, Operations
WE:Operations (Energy)
Products:
Posts: 213
Nice question.
It's an official GMAT exam pack 6 question.
It's an official GMAT exam pack 6 question.
Schools: HEC Montreal (A)
Posts: 29
Hello Bunuel
Please tag it as GMAT prep question
Please tag it as GMAT prep question
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DashingNightmare2
Current Student
Joined: 30 May 2021
Last visit: 19 Jun 2022
Posts: 101
Location: India
Concentration: Marketing, Technology
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
GPA: 2.96
w=4.5h−154
Tom weight = 4.5h(tom)-154
Eric's weight =4.5h(eric) -154
Difference = 4.5( h(eric) - h(tom) )
(1) Eric is 4 inches taller than Tom
h(eric) - h(tom) is given. Sufficient
(2) According to the formula, Tom's recommended weight is 152 pounds.
There is no way to find Erics weight Insufficient
Hence A
Tom weight = 4.5h(tom)-154
Eric's weight =4.5h(eric) -154
Difference = 4.5( h(eric) - h(tom) )
(1) Eric is 4 inches taller than Tom
h(eric) - h(tom) is given. Sufficient
(2) According to the formula, Tom's recommended weight is 152 pounds.
There is no way to find Erics weight Insufficient
Hence A
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