MATH.7 - Math Section-Q1 A students average(arithmetic mean...

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Math Section ------------------------------------------------------------------------------------------------------------ Q1: A student’s average (arithmetic mean) test score on 4 tests is 78. What must be the student’s score on a 5th test for the student’s average score on the 5 tests to be 80? A. 80 B. 82 C. 84 D. 86 E. 88 Answer: ------------------------------------------------------------------------------------------------------------ Q2: If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p > 2 1 ? (1) More than 2 1 of the 10 employees are women. (2) The probability that both representatives selected will be men is less than 10 1 . 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: ------------------------------------------------------------------------------------------------------------ Q3: Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B , is x > y ? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40. 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. 1
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Answer: ------------------------------------------------------------------------------------------------------------ Q4: For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults? (1) Revenue from ticket sales for this performance totaled $10,500. (2) The average (arithmetic mean) price per ticket sold was $21. 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: ------------------------------------------------------------------------------------------------------------ Q5: From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected? A. 10 1 B. 9 4 C. 2 1 D. 5 3 E. 3 2 Answer: ------------------------------------------------------------------------------------------------------------ Q6: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices? A. 5 B. 6 C. 7 D. 8 E. 9 Answer: ------------------------------------------------------------------------------------------------------------ 2
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Q7: √[2√63 + 2/(8+3√7)] = A. 8 + 3√7 B. 4 + 3√7 C. 8 D. 4 E. √7 Answer: ------------------------------------------------------------------------------------------------------------ Q8: The infinite sequence a 1 , a 2 ,…, a n ,… is such that a 1 = 2, a 2 = -3, a 3 = 5, a 4 = -1, and a n = a n-4 for n > 4. What is the sum of the first 97 terms of the sequence?
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