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GMAT/Data Sufficiency - Clicks, Ticks, Albs, & Berks
Clicks, Ticks, Albs, & Berks
In the game Cako, a player is awarded one tick for every third Alb captured, and one click for every fourth Berk captured. The total score is equal to the product of clicks and ticks. If a player has a score of 77, how many Albs did he capture?
(1) The difference between Albs captured and Berks captured is 7.
(2) The number of Albs captured is divisible by 4.
(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.
| ОТВЕТЫ И КОММЕНТАРИИ |
| Решение |
Every third Alb gives a click. This means no click is awarded until the third Alb is captured. The second click is not awarded until the sixth Alb is captured. Similarly, a tick is not awarded until the fourth Berk is captured.
We are told that the product clicks x ticks = 77. Thus, there are four possibilities: 1 x 77, 7 x 11, 11 x 7, 77 x 1.
| Clicks Awarded | Albs Captured | Ticks Awarded | Berks Captured |
| 1 | 3, 4 or 5 | 77 | 308, 309, 310, or 311 |
| 7 | 21, 22, or 23 | 11 | 44, 45, 46 or 47 |
| 11 | 33, 34, or 35 | 7 | 28, 29, 30 or 31 |
| 77 | 231, 232 or 233 | 1 | 4, 5, 6, or 7 |
Statement (1) tells us that the difference between Albs captured and Berks captured is 7. Looking at the chart, the only way to get a difference of 7 between Albs captured and Berks captured is with 35 Albs and 28 Berks. Therefore, statement (1) is sufficient to answer the question--there must have been 35 Albs captured.
Statement (2) says the number of Albs captured is divisible by 4. Again, looking at the chart, we see that the number of Albs captured must be 4 or 232. Therefore, statement (2) is not sufficient to answer the question--we do not know how many Albs were captured.
The correct answer is A: Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
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149 people were aboard Flight 222 when it arrived at Los Angeles from New York
City with Chicago as the only intermediate stop. How many people first boarded
the flight in Chicago?
(1) 170 people were aboard the flight when it left New York City.
(2) 23 people from the flight deplaned in Chicago and did not reboard.
A) if statement I alone is sufficient to answer the question, but statement 2
alone is not sufficient
B) if statement 2 alone is sufficient to answer the question, but statement I
alone is not sufficient
C) if both statements together are needed to answer the question, but neither
statement alone Is sufficient
D) if either statement by itself is sufficient to answer the question
E) if not enough facts are given to answer the question
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