Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 121:

  What is the value of (X + Y)?

  (1)

  Y is 20% more than X.

  (2)

  X = 120.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: C

  Statement (1) is insufficient by itself since we only know that Y = 1.2X and the expression required is (X +

  Y), which becomes (X + 1.2X).

  Using statement (2) combined with statement (1), we know that the value of the expression becomes

  (120 + 1.2 x 120 = 144) and therefore both statements, taken together, are sufficient.

• Question 122:

  If A stamps can be bought with B dollars, how many stamps can be bought with 10 dollars?

  (1)

  B dollars are more than enough to buy 20 stamps.

  (2)

  B = 5.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  Statement (1) is not accurate, it tells us that B dollars are more than enough to buy 20 stamps, in other words, the number of stamps that can be bought with B dollars is larger than 20. Statement (2) completes statement (1) but still both statements are insufficient together. All we know from the statements is that more than 20 stamps can be bought with 5 dollars. More sufficient data is required.

• Question 123:

  In which of the following lines: Y1 = A1X + B1, Y2 = A2X + B2, is the angle X bigger?

  (1)

  X is the angle between the line and the X-axis.

  (2)

  A1 = 2A2.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: C

  Both statements are sufficient.

  Statement (1) defines the angle X of each line.

  Statement (2) gives us the relevant data on each of the lines, the angle X is determined by the coefficient

  of X, thus A1 and A2. The line with the bigger coefficient is the one with the bigger angle X.

• Question 124:

  Is the area that is blocked between the line Y = AX + B, the Y-axis and the X-axis bigger than C?

  (1)

  A = 2, B = -1.

  (2)

  C = 10.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: C

  Using both statements, the line is Y = 2 -X and the area is 10.

  Draw a rectangular axis system and draw a line.

  You can see that the blocked area is a triangle with an area of (2 x 2 / 2 = 2) and therefore the area of the

  blocked area is smaller than 10.

  Only if you use both statements together, you can answer the question.

• Question 125:

  Is A > B ?

  (1)

  A2 > B2.

  (2)

  B is positive.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  Use both statements, find two sets of numbers that fit the statements yet give a different result. Take A = 2, B = 1 the numbers fit the statements and A > B. Take A = -2, B =1 the numbers fit the statements and B >

  A.

  Therefore more sufficient data is required.

• Question 126:

  Rick and Nick are sitting in their cars waiting in line to be served at the drive-in caf? How many cars are in the line?

  (1)

  There are 13 cars between Rick and Nick.

  (2)

  There are 31 cars in front of Rick and 24 cars behind Nick.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  Using both statements combined, we cannot determine who is in from who, is Rick further in the line than

  Nick or the opposite. Because of this we have two options for the number of cars.

  The first (If Rick is in front): 31 + 13 + 24 = 68.

  The second (If Nick is in front): 18 + 13 + 11 = 42.

  More sufficient data is required.

• Question 127:

  If one Pint is 1/8 of a gallon, how many pints are needed in order to fill a large hogshead?

  (1)

  The hogshead is a cylinder with a diameter of 25 inch.

  (2)

  The height of the hogshead is 100 inch.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  Neither statement gave us the conversion factor from inches cubed to gallons or pints. Therefore, we can only calculate the volume of the hogshead but we can't convert it into pints.

• Question 128:

  How many liters of lime are needed in order to paint the entire wall of a castle?

  (1)

  The length of a wall is 45 yards.

  (2)

  The width of the wall is 50% of the length.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  Neither statement defined how many liters are needed in order to paint a certain area of the wall and therefore we can't convert the area into liters of paint.

• Question 129:

  What is the sum of the digits of a two digits number?

  (1)

  The sum of the digits is a number, which is divisible by 4.

  (2)

  The two-digit number is a prime number.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  Statement (1) is insufficient since there are plenty of double-digit numbers who fit this statement. Statement (2) is insufficient since there are plenty of double-digit prime numbers. The combination of both statements is still not sufficient. Take 31 and 71: they both fit statement (1) and (2) but each has a different sum of digits.

• Question 130:

  Fred drove from city A to city B. What is Fred's average speed?

  (1)

  Fred drove from city A to city C during a 4 hour period and from city C to city B during a 2-hour period.

  (2)

  The distance between city A and city B is 600 miles.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  Statement (1) presents us with another city, which we don't know her relative location from city A or B. City C can be between city A and B or it can be somewhere else. Statement (2) tells us the distance between city A and B yet it doesn't give us any of the other distances. The average speed is calculated by dividing the total distance (which is unknown) by the total travel time (which is known). More sufficient data is needed.