GMAT Math : Data-Sufficiency Questions
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Example Questions
Example Question #2 : Dsq: Understanding Real Numbers
If 
(1) The distance between 
(2) The distance between 
E. Statements (1) and (2) TOGETHER are NOT sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Looking at statements (1) and (2) separately, there is no information about the distance between 
Example Question #1231 : Data Sufficiency Questions
Data sufficiency question- do not actually solve the question
How many children are attending a party?
1. If 6 more children attend the party, there will be 24 children there.
2. If 10 children leave the party, there will be less than 12 children in attendance.
Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Statements 1 and 2 together are not sufficient, and additional information is needed to answer the question
Each statement alone is sufficient
Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Both statements taken together are sufficient to ansewr the question, but neither statement alone is sufficient
Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Statement 1 precisely tells how many children are attending the party while Statement 2 only provides a range.
Example Question #2 : Dsq: Understanding Real Numbers
A sandwich shop offers a discount in which customers pay $2.99 for each additional sandwich after purchasing their first sandwich. Emily bought her first sandwich for $4.95. If she purchased 5 additional sandwiches to take home, then the total amount she paid is equivalent to which of the following?
The price of 6 sandwiches can be expressed as 
Example Question #1232 : Data Sufficiency Questions
Given that 
1)
2)
Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is not sufficient to answer the question.
BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.
BOTH statements TOGETHER are NOT sufficient to answer the question.
Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient to answer the question.
EITHER Statement 1 or Statement 2 ALONE is sufficient to answer the question.
Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient to answer the question.
If it is known that 
Then
Since 
But if we only know that 
Case 1:
Case 2:
The answer is that Statement 1 is sufficient, but not Statement 2.
Example Question #2 : Dsq: Understanding Real Numbers
Which of the following is the decimal representation of an irrational number? (Assume any observed patterns continue)
A number is rational if and only if its decimal representation is terminating or repeating.
Example Question #7 : Real Numbers
Jenkins wanted to find all the real solutions of the following expression. Find them for him.
I) 
II) 
Statement II is sufficient to answer the question, but statement I is not sufficient to answer the question.
Either statement is sufficient to answer the question.
Statement I is sufficient to answer the question, but statement II is not sufficient to answer the question.
Neither statement is sufficient to answer the question. More information is needed.
Both statements are needed to answer the question.
Statement I is sufficient to answer the question, but statement II is not sufficient to answer the question.
To find the real solutions, we need to know what c is. An easy way to do that would be if we had a point on the function.
I) gives us such a point. Therefore, we are able to substitute in our values and solve for c using algebraic operations.
Thus our equation becomes:
From here we can try to factor to find the real solutions or you can use the quadratic formula.
Plugging in our values we get the solution 
II) Is not really relevant, we are dealing with a parabola, so it shouldn't be undefined anyway.
Example Question #8 : Real Numbers
Order 
We can find each in terms of 
In ascending order, the four values are:
The correct choice is 
Example Question #9 : Real Numbers
Statement 1:
Statement 2:
STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.
BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.
STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.
EITHER STATEMENT ALONE provides sufficient information to answer the question.
BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.
EITHER STATEMENT ALONE provides sufficient information to answer the question.
Assume Statement 1 alone. The polynomial expression in
can be factored as follows:
Either 
Therefore, 
Assume Statement 2 alone. Again, we factor:
Similarly to the polynomial in Statement 1, 
Example Question #10 : Real Numbers
Evaluate 
Statement 1:
Statement 2:
EITHER STATEMENT ALONE provides sufficient information to answer the question.
BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.
STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.
STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.
BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.
STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.
Assume Statmemt 1 alone. By the commutative property of multiplication:
By the addition property of equality,
By substitution,
Statement 2 alone, however, does not answer the question. If 
however, without further information, we cannot evaluate this expression.
Example Question #11 : Dsq: Understanding Real Numbers
Evaluate 
Statement 1: 
Statement 2: 
STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.
EITHER STATEMENT ALONE provides sufficient information to answer the question.
BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.
STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.
BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.
BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.
The multiplicative inverse of a number is the number that can be multiplied by that number to yield product 1.
Assume Statement 1 alone. 
However, we know nothing about 
Now assume both statements to be true. By Statement 1, 
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