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Explanation:

Is x equal to 5 ?

Statement 1: x ≥ 5
X is greater or equal to 5
Not Sufficient

Statement 2: x ≤ 5
X is less or equal to 5

From 1 & 2;
X is 5
Sufficient

IMO-C

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Answer is C. Only 5 can satisfy when both conditions are taken together.
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Forget the conventional way to solve DS questions.

We will solve this DS question using the variable approach.

DS question with 1 variable: Let the original condition in a DS question contain 1 variable. In other words, there are two fewer equations than variables. Now, we know that each condition (1) and (2) would usually give us an equation, however, since we need 1 equation to match the numbers of variables and equations in the original condition, the unequal number of equations and variables should logically give us an answer D.

To master the Variable Approach, visit https://www.mathrevolution.com and check our lessons and proven techniques to score high in DS questions.

Let’s apply the 3 steps suggested previously. [Watch lessons on our website to master these 3 steps]

Step 1 of the Variable Approach: Modifying and rechecking the original condition and the question.

We have to find whether x= 5 .


Second and the third step of Variable Approach: From the original condition, we have 1 variable (x). To match the number of variables with the number of equations, we need 1 equation. Since conditions (1) and (2) will provide 1 equation each, D would most likely be the answer.

Let’s take a look at each condition.

Condition(1) tells us that x ≥ 5.

=> 'x' can be '5' or more

=> For x = 5 - is x = 5 - YES

=> For x = 6 - is x = 5 - NO

Since the answer is not unique YES or NO, condition(1) is not sufficient by CMT 1.


Condition(2) tells us that x ≤ 5.

=> 'x' can be '5' or less

=> For x = 5 - is x = 5 - YES

=> For x = 1 - is x = 5 - NO

Since the answer is not unique YES or NO, condition(1) is not sufficient by CMT 1.

Let’s take a look at both conditions together.

=> x ≥ 5 and x ≤ 5 , only x = 5 possible - is x = 5 - YES

Since the answer is unique YES, both conditions together are sufficient by CMT 1.


So, C is the correct answer.

Answer: C
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Is x equal to 5 ?

x=5 ?

(1) x ≥ 5

x=5,6,7,8......

This statement is insufficient
(2) x ≤ 5

x=5,4,3,2,1,0......

This statement is insufficient

1) + 2) x=5
Answer is C
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Statement 1: x can be 5 or more- insufficient- strike-off AD
Statement 2: x can be 5 or less- insufficient- Strike-off B
Combining the two statements- there is only 1 value that can satisfy both= 5. (no other number can be both above and below 5)

Final answer = C

(can only hope to see this as my first question on the GMAT.. :P)
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