If 30 is Divided by Half and 10 is Added to the Result, Then What is GMAT Data Sufficiency

Question: If 30 is divided by half and 10 is added to the result, then what is the final result?

1. 70
2. 25

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.​
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are not sufficient.

Correct Answer: A

Solution and Explanation:
Approach Solution 1:
The problem statement states that 
Given: 

• 30 is divided by half and 10 is added to the result.

​Find out:

• The final result.

The first method to solve the given problem would involve dividing 30 by half (ignoring the 1 on the numerator would be very helpful in this case)

This implies that when 30 is divided by half, the numerator 30 would be multiplied with 0.5 which is the decimal number of the fraction ½. this can be further implicated as follows:

\(30\div\frac{1}{2}\)

\(\Rightarrow 30 \div 0.5=60 \)

This equation also demands adding 10 to the value received from the division.

This states adding 10 to 60 which gives the result 70.

Hence, the final result is 70.

Approach Solution 2:
The problem statement states that 
Given: 

• 30 is divided by half and 10 is added to the result.

​Find out:

• The final result.

30 is divided by half. This implies 30/½ which can deduced as (30/1)*2 

Therefore, by simplifying the equation we get the result 60.

Now 60 needs to be added with 10 to get the final result.

Therefore, the final result = 60 + 10 = 70.

“If 30 is divided by half and 10 is added to the result, then what is”- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. This question has been taken from the book “Foundations of GMAT Math”. The GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

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