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16 Oct 2024, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
66% (01:28) correct
34%
(01:26)
wrong
based on 155
sessions
History
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Not Attempted Yet
A certain cafeteria sells donuts and pizzas. Is the number of people who bought donuts are more than the number of people who bought pizzas?
(1) Of the people who bought donuts, 30 percent of them also bought pizzas.
(2) Of the people who bought pizzas, 40 percent of them also bought donuts.
(1) Of the people who bought donuts, 30 percent of them also bought pizzas.
(2) Of the people who bought pizzas, 40 percent of them also bought donuts.
This is a Data Sufficiency Butler Question
Check the links to other Butler Projects:
Check the links to other Butler Projects:
- Data Sufficiency Butler
- Problem Solving Butler
- Sentence Correction Butler
- Reading Comprehension Butler
- Integrated Reasoning Butler
16 Oct 2024, 02:37
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people who bought \(\text{Donuts - }d\), \(\text{Pizza - }p\), \(\text{both donuts & pizza - }x\),
is \(d>p?\)
Statement 1: Of the people who bought donuts, 30 percent of them also bought pizzas.
\(x=0.3d\)
Not Sufficient
Statement 2: Of the people who bought pizzas, 40 percent of them also bought donuts.
\(x=0.4p\)
Not Sufficient
Combined:
\(x=0.3d\) & \(x=0.4p\)
\(0.3d=0.4p\)
\(d=\frac{4}{3}p\)
Sufficient
Answer: C
is \(d>p?\)
Statement 1: Of the people who bought donuts, 30 percent of them also bought pizzas.
\(x=0.3d\)
Not Sufficient
Statement 2: Of the people who bought pizzas, 40 percent of them also bought donuts.
\(x=0.4p\)
Not Sufficient
Combined:
\(x=0.3d\) & \(x=0.4p\)
\(0.3d=0.4p\)
\(d=\frac{4}{3}p\)
Sufficient
Answer: C
16 Oct 2024, 06:41
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| donut | no donut | total | |
| pizza | p | ||
| no pizza | |||
| total | d | p+d |
statement 1 alone:
| donut | no donut | total | |
| pizza | 0,3d | p | |
| no pizza | |||
| total | d | p+d |
So p-0,3d>0 ie p/d>0,3 not sufficient
statement 2 alone :
| donut | no donut | total | |
| pizza | 0,4p | p | |
| no pizza | |||
| total | d | p+d |
statement 1+2 : 0,4p=0,3d ie p/d=3/4 sufficient
Answer C.
