What is the value of n?

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. Now, 1 variable would generally require 1 equation for us to be able to solve for the value of the variable.We know that each condition would usually give us an equation and Since we need 1 equation to match the numbers of variables and equations in the original condition,the logical answer is D. The answer could be A, B or D, but the default answer will be 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 value of 'n'.

Second and the third step of Variable Approach: From the original condition, we have 1 variable (n).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 0 < n < 1.

Since the answer is not unique, condition(1) is notsufficient by CMT 2.

Condition(2) tells us that \(7/16\) is \(3/8\) more than n.

=> \(\frac{7}{16}\) = \(\frac{3}{8}\) + n

=> n = \(\frac{7}{16}\) - \(\frac{3}{ 8}\) = \(\frac{1}{16}\)


Since the answer is unique, condition(2) is sufficient by CMT 2.


So, B is the correct answer.

Answer: B

On data sufficiency question, its very important to erase statement (1) from your mind when you first look at statement (2). This question is almost designed to trick you.

Here's an explanation on YouTube:

https://www.youtube.com/watch?v=AoQwTWz ... KjqpAY5r-U

Answer (B)

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