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29 Jul 2008, 10:20
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Jack bought one shampoo, two toothpastes, and two toothbrushes. If the total cost is $13, and all items have an integer price, in dollars, what is the price for the toothbrush?
(1) No item priced of $4.
(2) A shampoo is more expensive than toothpaste, and toothpaste is more expensive than a toothbrush.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) No item priced of $4.
(2) A shampoo is more expensive than toothpaste, and toothpaste is more expensive than a toothbrush.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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29 Jul 2008, 10:32
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arjtryarjtry
plugging numbers is my approach
st 1 : brush : paste : shapoo
2*1 + 2*2 + 7
2*2 + 2*1 + 7
so no item is $4 and we have two possible prives for brush... not suff
St2 :
b<p<s
if b = 1
2*1 + 2*2 + 7 = 13 --1<2<7
2*1 + 2*3 + 5 = 13 --1<3<5
if b = 2
2*2 + 2*3 + 3 = 13 --2<3=3 .... does not satisfy ..
for any value of b>1 there is no possible combination ... Suff .. option B
Updated on: 29 Jul 2008, 11:22
Originally posted by x97agarwal on 29 Jul 2008, 10:35.
Last edited by x97agarwal on 29 Jul 2008, 11:22, edited 3 times in total.
Last edited by x97agarwal on 29 Jul 2008, 11:22, edited 3 times in total.
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Jack bought one shampoo, two toothpastes, and two toothbrushes. If the total cost is $13, and all items have an integer price, in dollars, what is the price for the toothbrush?
From the Q you will get the equation: S +2T + 2B = 13
S1. No item priced of $4.
See how may ways you can get 13 without pricing any item at $4
First way: 3+ 2(3)+ 2(2) = 3+6+4 = 13
Second way: 5 + 2(2) + 2(2) = 5+4+4 = 13
Third way: 5+ 2(1) + 2(3) = 5+2+6 = 13
7 +2(2) + 2(1) = 13
Hence Maybe case so AD are out
S2 A shampoo is more expensive than toothpaste, and toothpaste is more expensive than a toothbrush.
First way: 5 + 2(3) + 2(1) = 5+6+2 = 13 ; only one way to satisfy the eq
Second way 7 +2(2) + 2(1) = 13
IMO B
From the Q you will get the equation: S +2T + 2B = 13
S1. No item priced of $4.
See how may ways you can get 13 without pricing any item at $4
First way: 3+ 2(3)+ 2(2) = 3+6+4 = 13
Second way: 5 + 2(2) + 2(2) = 5+4+4 = 13
Third way: 5+ 2(1) + 2(3) = 5+2+6 = 13
7 +2(2) + 2(1) = 13
Hence Maybe case so AD are out
S2 A shampoo is more expensive than toothpaste, and toothpaste is more expensive than a toothbrush.
First way: 5 + 2(3) + 2(1) = 5+6+2 = 13 ; only one way to satisfy the eq
Second way 7 +2(2) + 2(1) = 13
IMO B
