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09 Jul 2024, 07:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:35) correct
26%
(01:38)
wrong
based on 457
sessions
History
Date
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Out of 45 chefs judging desserts, 25 liked crème brûlée and 30 liked éclairs. How many chefs liked both desserts?
(1) Three times as many chefs liked both desserts as those who did not like either of the desserts.
(2) 5 chefs did not like either of the desserts.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
(1) Three times as many chefs liked both desserts as those who did not like either of the desserts.
(2) 5 chefs did not like either of the desserts.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
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09 Jul 2024, 08:45
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Out of 45 chefs judging desserts, 25 liked crème brûlée and 30 liked éclairs. How many chefs liked both desserts?
(1) Three times as many chefs liked both desserts as those who did not like either of the desserts.
This means:
Substituting into the previous equation:
Sufficient.
(2) 5 chefs did not like either of the desserts.
This means:
Substituting into the previous equation:
Sufficient.
Answer: D.
{Total} = {crème brûlée} + {éclairs} - {both} + {neither}
45 = 25 + 30 - both + neither
{both} - {neither} = 10
45 = 25 + 30 - both + neither
{both} - {neither} = 10
(1) Three times as many chefs liked both desserts as those who did not like either of the desserts.
This means:
{both} = 3 * {neither}
Substituting into the previous equation:
3 * {neither} - {neither} = 10
{neither} = 5
{both} = 3 * {neither} = 15.
{neither} = 5
{both} = 3 * {neither} = 15.
Sufficient.
(2) 5 chefs did not like either of the desserts.
This means:
{neither} = 5
Substituting into the previous equation:
{both} - {neither} = 10
{both} - 5 = 10
{both} = 15
{both} - 5 = 10
{both} = 15
Sufficient.
Answer: D.
General Discussion
09 Jul 2024, 07:22
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Given that ,
Total desert = 45
Total people liked rème brûlée (R) = 25,
Total people like éclairs (E) = 30.
Asked to find who liked Both R & E(C).
Total people who don't like any desert ( N ) = N?( not given in the quesiton )
This quesiton resemeble venn diagram scenario, By using veen diagram we can solve this quesiton in easier way.
Total desert = R + E - C + N -> Equation 1
statement 1: Three times as many chefs liked both desserts as those who did not like either of the desserts.
given C = 3N
By keeping this value in equaiton 1, we can get value of C. Therfore statement 1 is corrrect , So possible answer is A & D.
Statement 2: 5 chefs did not like either of the desserts.
Given N = 5, by substuting this value in eqution 1, we can find value of c , so Statement 2 is correct.
Therefore Option D is correct answer
Total desert = 45
Total people liked rème brûlée (R) = 25,
Total people like éclairs (E) = 30.
Asked to find who liked Both R & E(C).
Total people who don't like any desert ( N ) = N?( not given in the quesiton )
This quesiton resemeble venn diagram scenario, By using veen diagram we can solve this quesiton in easier way.
Total desert = R + E - C + N -> Equation 1
statement 1: Three times as many chefs liked both desserts as those who did not like either of the desserts.
given C = 3N
By keeping this value in equaiton 1, we can get value of C. Therfore statement 1 is corrrect , So possible answer is A & D.
Statement 2: 5 chefs did not like either of the desserts.
Given N = 5, by substuting this value in eqution 1, we can find value of c , so Statement 2 is correct.
Therefore Option D is correct answer
