For which of the following values of n is (n + 84)/n - n/4 an integer?

(A) 14

(B) 16

(C) 24

(D) 28

(E) 42

Click through to the GMAT Hacks website for the answer and explanation.

]]>On Main Street, the ratio of the number of residential buildings to the number of commercial buildings is 2 to 3. If three of the residential buildings were to be converted to commercial buildings and no new buildings were introduced, the ratio would be 3 to 5. What is the total number of residential and commercial buildings on Main Street?

(A) 200

(B) 120

(C) 80

(D) 72

(E) 50

Click through to the GMAT Hacks website for the answer and explanation.

]]>If a, b, and c are positive integers, is a = 15 ?

(1) a + b = c

(2) The average (arithmetic mean) of a, b, and c is less than 10.

(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.

Click through to the GMAT Hacks website for the answer and explanation.

]]>Which of the following is equal to the least positive integer that is divisible by each of the integers 4 through 10, inclusive?

(A) (2^3)(3^2)(5)(7)

(B) (2^3)(3^3)(5^2)(7)

(C) (2^4)(3^3)(5)(7)

(D) (2^5)(3^2)(5)(7)

(E) (2^6)(3^3)(5^2)(7)

Click through to the GMAT Hacks website for the answer and explanation.

]]>How many different positive integers are factors of 378 ?

(A) 10

(B) 12

(C) 16

(D) 18

(E) 24

Click through to the GMAT Hacks website for the answer and explanation.

]]>Hui tossed a fair coin x times. If 6 of the first 12 coin tosses and all of the subsequent tosses resulted in heads, what is the value of x ?

(1) 12 of the last 16 of Hui's coin tosses resulted in heads.

(2) 75 percent of Hui's coin tosses resulted in heads.

(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.

Click through to the GMAT Hacks website for the answer and explanation.

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