Step 2 use the same method to check statement 2 but

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Unformatted text preview: Step 2: Use the same method to check Statement 2, but the empirical method and my fifth sense is to check the combination of S1 and S2 first. When 6 women → p = 3 1 < 2 1 ; for men → 10 4 × 9 3 = 15 2 > 10 1 → So drop this case! When 7 women → p = 10 7 × 9 6 = 15 7 < 2 1 ; for men → 10 3 × 9 2 = 15 1 < 10 1 → So this case is GOOD, and p < 2 1 ! When 8 women → p = 10 8 × 9 7 = 45 28 > 2 1 ; for men → 10 2 × 9 1 = 45 1 < 10 1 → So this case is GOOD, but p > 2 1 ! Or use the extreme case: when 10 women → p = 1 > 2 1 → for men 0 < 10 1 → So this case is GOOD, but p > 2 1 ! Step 3: Draw the conclusion: S1 + S2 is wrong! And S2 is also wrong as tested in the process of Step 2! The answer should be E !------------------------------------------------------------------------------------------------------------ Q17: If x , y , and k are positive numbers such that ( y x x + )(10) + ( y x y + )(20) = k and if x < y , which of the following could be the value of k ? A. 10 B. 12 C. 15 D. 18 E. 30 13 Answer: D Note: In order to get the answer for this question, examinees must use the method of Trial and Error . First, y x y + 10 = k – 10 → Then, try k value from Answer A to E. A. 10 → y x y + 10 = 0 → y = 0 → Because from the Term of both x and y are positive → y = 0, Wrong! B. 12 → y x y + 10 = 2 → x = 4 y → Because from the Term of x < y , x – y = 3 y > 0 → x > y , Wrong! C. 15 → y x y + 10 = 5 → x = y → Because from the Term of x < y → x = y , Wrong! D. 18 → y x y + 10 = 8 → 4 x = y → Because from the Term of x < y , y – x = 3x > 0 → x < y , Correct! E. 30 → y x y + 10 = 20 → 2 x = - y → Because from the Term of both x and y are positive → Wrong!------------------------------------------------------------------------------------------------------------ Q20: Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses? (1) The price of Tom’s house was $110,000. (2) The price of Jane’s house was $120,000. 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: B Note: This question is definitely a well-planned trap! Since it is the 20th question in the 37- question Math section and difficult levels usually drop because of the good performance for the first half-section of difficult questions, it is especially lethal to the tired GMATers with dwindled alert. The answer superficially appeared to be C but indeed it should be B. This question is not very difficult and but very tricky. From my point of view, if the highly difficult questions appeared earlier in the Math section is the frontal attack to GMATers, then the above question is a hideous attack stabbing GMATers’ back.------------------------------------------------------------------------------------------------------------ 14...
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Step 2 Use the same method to check Statement 2 but the...

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