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25 Jan 2021, 01:15
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B
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Difficulty:
95%
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Question Stats:
45% (02:25) correct
55%
(02:30)
wrong
based on 126
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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.
Are You Up For the Challenge: 700 Level Questions
(1) No item priced of $4.
(2) A shampoo is more expensive than toothpaste, and toothpaste is more expensive than a toothbrush.
Are You Up For the Challenge: 700 Level Questions
25 Jan 2021, 01:47
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s+2tp+2tb=13
Statement 1-
Case 1- s=3; tp= 2; tb=3
Case 2- s=3; tp=3; tb=2
Insufficient
Statement 2- s>tp>tb
Minimum possible price of one shampoo, two toothpastes, and two toothbrushes, if tb=2, is = 4+2*3+2*2=14>13
Hence price of toothbrush has to be 1.
Sufficient
Statement 1-
Case 1- s=3; tp= 2; tb=3
Case 2- s=3; tp=3; tb=2
Insufficient
Statement 2- s>tp>tb
Minimum possible price of one shampoo, two toothpastes, and two toothbrushes, if tb=2, is = 4+2*3+2*2=14>13
Hence price of toothbrush has to be 1.
Sufficient
Bunuel
25 Jan 2021, 13:01
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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?
Given, x+ 2y+ 2z= 13 , please note: x= odd no. always
Stat1: No item priced of $4.
x+ 2y+ 2z= 13
1---3----3
3---3----2
-----------
So, z= toothbrushes can have many values..Not sufficient.
Stat2: A shampoo is more expensive than toothpaste, and toothpaste is more expensive than a toothbrush.
x>y>z
x+ 2y+ 2z= 13
1---3---3 (not possible, as x>y>z)
3---3---2 (not possible, as x>y>z)
5---3---1 (possible, as x>y>z); z= toothbrush = 1
7---2---1 (possible, as x>y>z); z= toothbrush = 1
9---1---1 (not possible, as x>y>z)
So, Sufficient.. I think B.
Given, x+ 2y+ 2z= 13 , please note: x= odd no. always
Stat1: No item priced of $4.
x+ 2y+ 2z= 13
1---3----3
3---3----2
-----------
So, z= toothbrushes can have many values..Not sufficient.
Stat2: A shampoo is more expensive than toothpaste, and toothpaste is more expensive than a toothbrush.
x>y>z
x+ 2y+ 2z= 13
1---3---3 (not possible, as x>y>z)
3---3---2 (not possible, as x>y>z)
5---3---1 (possible, as x>y>z); z= toothbrush = 1
7---2---1 (possible, as x>y>z); z= toothbrush = 1
9---1---1 (not possible, as x>y>z)
So, Sufficient.. I think B.
