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# MATH.12 - Math Section-Q1 The population of City X is 50...

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Math Section ---------------------------------------------------------------------------------------------------------------------- Q1: The population of City X is 50 percent of the population of City Y. The population of City X is what percent of the total population of City X and City Y? A. 25% B. (33 1/3)% C. 40% D. 50% E. (66 2/3)% Answer: ---------------------------------------------------------------------------------------------------------------------- Q2: What is the greatest prime factor of 2 100 - 2 96 ? ---------------------------------------------------------------------------------------------------------------------- Q3: How many liters of apple juice were added to the cranberry juice in a certain container? (1) The amount of apple juice that was added was 3/2 the amount of cranberry juice in the container. (2) There were 5 liters of cranberry juice in the container. ---------------------------------------------------------------------------------------------------------------------- Q4: In a demographic study, the population and total income of a certain region were estimated from other 1

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data, and both estimates had lower and upper limits. At the time of the estimates, was the per capita income for the region greater than \$16,500? (1) The lower limit for the estimate of the population was 330,000 people. (2) The lower limit for the estimate of the total income was \$5,500,000,000. ---------------------------------------------------------------------------------------------------------------------- Q5: Is x < 1? (1) x + 1 = 2 x - 1 (2) x - 3 ≠ 0 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. Answer: ---------------------------------------------------------------------------------------------------------------------- Q6: A box contains 10 light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from the box. If n of the bulbs in box are defective, what is the value of n? (1) The probability that the two bulbs to be drawn will be defective is 1/15. (2) The probability that one of the bulbs to be drawn will be defective and the other will not be defective is 7/15. ----------------------------------------------------------------------------------------------------------------------
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