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06 May 2016, 09:20
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A
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Difficulty:
25%
(medium)
Question Stats:
74% (01:24) correct
26%
(01:30)
wrong
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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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) Eric is 4 inches taller than Tom.
(2) According to the formula, Tom's recommended weight is 152 pounds.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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06 May 2016, 09:45
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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
06 May 2016, 09:38
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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
