GMAT Question of the Day : Data Sufficiency

Four dollar amounts, w, x, y, and z, were invested in a business. Which amount was greatest?

1. y < z < x

2. x was 25 percent of the total of the four investments.

Selected Possible Answer

A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.

B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.

C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.

D. Each statement alone is sufficient to answer the question.

E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

GMAT Data Sufficiency

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Question 1

Four dollar amounts, w, x, y, and z, were invested in a business. Which amount was greatest? 1. y < z < x 2. x was 25 percent of the total of the four investments.

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 2

If b and b are positive integers, is 3a = 2b ? 1. 3a = 2b 2. For integers m and m, x+ y = 5 and b = 3n

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 3

What is the average(arithmetic mean) of x and y? 1. x/2 + y/2 = 10 2. x = 2y

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 4

If the measures of the three interior angles of a triangle are , , and , what is the value of ? 1. x = 5 2. 15x + y = 90

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 5

G, P , and S are animal species. What is the average life span, in years, of S? 1. The average life span of S is twice that of P and 4/5 that of G. 2. The average life span of G is 30 years longer than that of P and 10 years longer than that of S.

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 6

If y > 0, is y greater than x? 1. 3x = 2y 2. x + y = 5

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 7

Is X an integer? 1. X + Y = 5 is an integer 2. X - 4 is an integer.

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 8

How many bags of grass seed were used for rectangular lawn X? 1. Lawn X has a perimeter of 720 feet. 2. One bag of grass seed was used for each 5,000 square feet of lawn X.

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 9

Did the population of Country S increase by less than 20 percent from 1965 to 1975? 1. The population of Country S in 1965 was 180 million. 2. The population of Country S in 1975 was 1.17 times what it was in 1965.

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question 10

If point X is inside a circle with center O and radius 2, is point Y inside the same circle? 1. OX = 1 2. XY = 2.5

	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

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Take GMAT Team tagged this post with: GMAT Data Sufficiency, GMAT Quantitative Descrete Questions, GMAT Question of the Day Read 1244 articles by Take GMAT Team

1. DiD says:

   December 1, 2006 at 4:03 pm

   B
2. V Pat says:

   December 1, 2006 at 5:23 pm

   B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. Nrip Nihalani says:

   December 2, 2006 at 8:54 pm

   B
4. Arun says:

   December 2, 2006 at 11:49 pm

   B
5. bluesclues9 says:

   December 3, 2006 at 12:05 am

   B
6. AP says:

   May 5, 2007 at 10:49 pm

   b
7. SS says:

   January 15, 2008 at 1:45 am

   B
8. Siva says:

   January 16, 2008 at 11:23 pm

   B
9. shilpa says:

   August 11, 2008 at 5:11 am

   B
10. Tapas says:

    January 30, 2010 at 4:37 pm

    B
11. alskd01 says:

    December 28, 2011 at 2:01 am

    C.
    Knowing (2) only allows any amount other than x to be 75% minus a small enough quantity. The four amounts may also be all equal to 25%, thus I cannot say what amount is the greatest.
    Knowing (1) also, I know that w is 25% plus a positive amount, thus I can say which amount is the greatest.
12. ahsaaschawla says:

    December 28, 2011 at 5:09 am

    Statement 1 doesn’t give any information about “w”. (if xw then x is greatest).So Statement 1 is not sufficient. Statement 2 is alone not sufficient because when x=25% of total amount, w or y or z can be greater than 25% also. We only get the answer when we assume both the statements:
    x>y>z, so either x or z are greatest. Now if x=25% of total, and x>y>z, y and z are both less than 25%, and to make up for the total, z has to be greater than 25%.
    we need both the statements, so the answer is (C)
13. ahsaaschawla says:

    December 28, 2011 at 5:11 am

    there was an error, so I’m posting again..
    Statement 1 doesn’t give any information about “w”. (if x>w then x is greatest, and if xy>z, so either x or z are greatest. Now if x=25% of total, and x>y>z, y and z are both less than 25%, and to make up for the total, z has to be greater than 25%.
    we need both the statements, so the answer is (C)
14. ahsaaschawla says:

    December 28, 2011 at 5:12 am

    there was an error, so I’m posting the bracket part again..
    (if x>w then x is greatest, and if x<w then w is greatest)
15. Gourav says:

    January 26, 2012 at 6:44 pm

    C