GMAT Problem solving Test Ques with Ans

Add: T􀌯ng 1, Tòa nhà HTC, Tr􀋱􀍥ng C􀄈 du l􀍓ch HN, 􀃿􀋱􀍥ng Hoàng Qu􀍙c Vi􀍏t – HN Tel: 04.7554011 * Fax: 04.7554010 * Email: bachkhoa-aptech@vnn.vn * Website: www.aptech-vietnam.com TRUNG TÂM 􀄈ÀO T􀒤O L􀒰P TRÌNH VIÊN QU􀓔C T􀓂 BACHKHOA-APTECH ************* GMAT TEST SECTION 1 -PROBLEM SOLVING Time -25 minutes, 15 Questions Numbers: All numbers used are real numbers Question 1 It takes Eric 20 minutes to inspect a car. John only needs 18 minutes to inspect a car. If they both start inspecting cars at 8:00 A.M., what is the first time they will finish inspecting a car at the same time? (A) 9:30 A.M. (B) 9:42 A.M. (C) 10:00 A.M. (D) 11:00 A.M. (E) 2:00 P.M. Question 2 If k is an integer and 0.0010101 ´ 10k is greater than 1,000, what is the least possible value of k? (A)2 (B) 3 (C) 4 (D)5 (E) 6 Question 3 Members of a social club met to address 280 newsletters. If they addressed 1/4 of the newsletters during the first hour and 2/5 of the remaining newsletters during the second hour, how many newsletters did they address during the second hour? A) 28 B) 42 C) 63 D) 84 E) 112 Question 4 If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true? I. c -a = 2 II. abc is an even integer III. 3 c b a + + is an integer A) I only B) II only C) I and II only D) II and III only E) I, II, and III Question 5 A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by A) mw B) m ww+ C) 23 ++ mw D) 3 3+ + +m w w E) 5 3+ + +m w w Question 6 Jim planned to complete a certain task on Wednesday, September 15, but because of illness the completion date was postponed 48 days. On which day of the week was the task completed? A) Monday B) Tuesday C) Wednesday D) Thursday E) Friday Question 7 If 82x + 3 = 23x + 6, then x = A) –3 B) –1 C) 0 D) 1 E) 3 Question 8 If x + 5y = 16 and x = –3y, then y = A) –24 B) –8 C) –2Add: T􀌯ng 1, Tòa nhà HTC, Tr􀋱􀍥ng C􀄈 du l􀍓ch HN, 􀃿􀋱􀍥ng Hoàng Qu􀍙c Vi􀍏t – HN Tel: 04.7554011 * Fax: 04.7554010 * Email: bachkhoa-aptech@vnn.vn * Website: www.aptech-vietnam.com D) 2 E) 8 Question 9 If Henry Ford's Red River factory turns out 10 Model T's in 18 minutes, approximately how many could it make in one hour? A) 27 B) 28 C) 30 D) 33 E) 180 Question 10 The positive integer n is divisible by 25. If n is greater than 25, which of the following could be the value of 25 n ? (A) 22 (B) 23 (C) 24 (D) 25 (E) 26 Question 11 A machine costs m dollars per day to maintain and n cents for each unit it produces. If the machine is operated 7 days a week and produces r units in a week, which of the following is the total cost, in dollars, of operating the machine for a week? (A) 7m + 100nr (B) 100 700 nr m + (C) m + nr (D) 100 100 7 nr m + (E) 700mnr Question 12 In the rectangular coordinate system above, the shaded region is bounded by straight lines. Which of the following is NOT an equation of one of the boundary lines? A) x = 0 B) y = 0 C) x = 1 D) x – y = 0 E) x + 2y = 2 Question 13 If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture? A) 5 2 3 y x + B) y x y x ++ 2 3 C) xy y x 2 3 + D) ) 2 3 ( 5 y x + E) y x 2 3 + Question 14 Last year Mrs.Long received $160 in dividends on her shares of Company X stock, all of which she had held for the entire year. If she had had 12 more shares of the stock last year, she would have received $15 more in total annual dividends. How many shares of the stock did she have last year? (A)128 (B) 140 (C) 172 (D)175 (E) 200 Question 15 Ben and Ann are among 7 contestants from which 4 semifinalists are to be selected. Of the different possible selections, how many contain neither Ben nor Ann? (A)5 (B) 6 (C) 7 (D)14 (E) 21 y 1 O 1 2 xAdd: T􀌯ng 1, Tòa nhà HTC, Tr􀋱􀍥ng C􀄈 du l􀍓ch HN, 􀃿􀋱􀍥ng Hoàng Qu􀍙c Vi􀍏t – HN Tel: 04.7554011 * Fax: 04.7554010 * Email: bachkhoa-aptech@vnn.vn * Website: www.aptech-vietnam.com PROBLEM SOLVING 1. D 2. E 3. D 4. E 5. E 6. B 7. B 8. E 9. D 10. E 11. B 12. D 13. A 14. A 15. A