# How many childrens tickets were sold for the

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How many children’s tickets were sold for the performance? (1)The total revenue from the sale of adults’ and children’s tickets for the performance was \$5,040. (2)The number of adults’ tickets sold for the performance was 1/3 the total number of adults’ and children’s tickets sold for the performance. 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. 4

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Answer: ------------------------------------------------------------------------------------------------------------ Q13: What is the remainder when the positive integer n is divided by 3? (1) The remainder when n is divided by 2 is 1. (2) The remainder when n + 1 is divided by 3 is 2. 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: ------------------------------------------------------------------------------------------------------------ Q14: If the average (arithmetic mean) of x , y , and 20 is 10 greater than the average of x , y , 20, and 30, what is the average of x and y ? A. 40 B. 45 C. 60 D. 75 E. 95 Answer: ------------------------------------------------------------------------------------------------------------ Q15: If x and y are integers, is x + y greater than 0? (1) x is greater than 0. (2) y is less than 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: ------------------------------------------------------------------------------------------------------------ Q16: What is the value of 3 -( x + y ) / 3 -( x - y ) ? (1) x = 2 (2) y = 3 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. 5
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: ------------------------------------------------------------------------------------------------------------ Q17: A driver completed the first 20 miles of a 40-mile trip at an average speed of 50 miles per hour. At what average speed must the driver complete the remaining 20 miles to achieve an average speed of 60 miles per hour for the entire 40-mile trip? (Assume that the driver

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How many childrens tickets were sold for the performance...

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