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GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
06 Dec 2018, 08:34
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There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?
(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.
(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.
06 Dec 2018, 08:46
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prav04
There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?
(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.
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 statement 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) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.
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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient
The first statement gives x/y = 1/5. The second statement gives x = y - 16. Neither of them is sufficient to get the value of x + y. Taken together though we have two distinct linear equations with two unknowns, which means that we can solve for x and y and get the value of x + y.
Answer: C.
21 Dec 2018, 08:15
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prav04
There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?
(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.
(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.
Given: There are two types of rolls on a counter, plain rolls and seeded rolls.
Let P = # of plain rolls
Let S = # of seeded rolls
Target question: What is the value of P + S?
Statement 1: The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
In other words, S/P = 1/5
Cross multiply to get: 5S = P
There are several values of S and P that satisfy statement 1. Here are two:
Case a: S = 1 and P = 5. In this case, the answer to the target question is S + P = 1 + 5 = 6
Case b: S = 2 and P = 10. In this case, the answer to the target question is S + P = 2 + 10 = 12
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: There are 16 more plain rolls than seeded rolls on the counter.
In other words, P = S + 15
There are several values of S and P that satisfy statement 1. Here are two:
Case a: S = 1 and P = 16. In this case, the answer to the target question is S + P = 1 + 16 = 17
Case b: S = 2 and P = 17. In this case, the answer to the target question is S + P = 2 + 17 = 19
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that 5S = P
Statement 2 tells us that P = S + 15
ASIDE: Although we COULD solve the above system of equations (and then find the value of P + S), we would never waste valuable time on test day doing so. We need only determine that we COULD answer the target question.
Since we COULD answer the target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
