Data Sufficiency

BTGmoderatorDC wrote: ↑

Thu Sep 29, 2022 3:50 pm

What is the value of n in the equation: - 25 + 19 + n = s ?

(1) s = 2
(2) n/s = 4


OA D

Source: Official Guide

Given: -25 + 19 + n = s
Simplify: -6 + n = s
Add 6 to both sides to get: n = s + 6

Target question: What is the value of n?

Statement 1: s = 2
We already know that n = s + 6
Replace s with 2 to get: n = 2 + 6 = 8
The answer to the target question is n = 8
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: n/s = 4
Multiply both sides by s to get: n = 4s
Divide both sides by 4 to get: n/4 = s

We already know that n = s + 6
Replace s with s with n/4 to get: n = n/4 + 6
Multiply both sides by 4 to get: 4n = n + 24
Subtract n from both sides to get: 3n = 24
Solve, n = 8
The answer to the target question is n = 8
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent