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1338 - Data Sufficiency

Data Sufficiency MCQ No. : 49586

If the length of Wanda's telephone call was rounded up to the nearest whole minute by her telephone company, then Wanda was charged for how many minutes for her telephone call?

(1) The total charge for Wanda's telephone call was $6.50.

(2) Wanda was charged $0.50 more for the first minute of the telephone call than for each minute after the first.

Correct Answer: E

Explanation:

Arithmetic operations

  • (1) This does not give any information as to the call's cost per minute; NOT sufficient.
  • (2) From this, it can be determined only that the call was longer than one minute and that the charge for the first minute was $0.50 more than the charge for each succeeding minute;NOT sufficient.

Taking (1) and (2) together, the number of minutes cannot be determined as long as the cost of each minute after the first is unknown.For example, if the cost of each minute after the first minute were $0.40, then the cost of the first minute would be $0.90. Then the total cost of the other minutes would be $6.50 - $0.90 = $5.60, and $5.60+ $0.40 would yield 14. In this case, the time of the call would be 1 +14 = 15 minutes. If, however, the cost of each minute after the first minute were $0.15, then the cost of the first minute would be $0.65. Then $6.50 - $0.65 would be $5.85, and this in turn, when divided by $0.15,would yield 39 minutes, for a total call length of 40 minutes. More information on the cost of each minute after the first minute is still needed.

The correct answer is E; both statements together are still not sufficient.

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