Is N=W ?

Question

Is N=W ?

(1) N = |W|
(2) W= |N|

sudish · Accepted Answer

Here's the solution:

We are asked whether N = W i.e. whether N & W have equal value.
Let's look at the given statements.

Statement 1 says that N = |W|
Let's take a few quick examples to check this.
If N = 0 and W = 0, then N = |W| = 0. Here, N = W
But, if N = 2 and W = -2, then |W| = 2 which is not equal to N = -2. Hence N not equal to W
This statement is not sufficient.

Lets look at the next statement. Statement 2 says that W = |N|
Let's take a few quick examples to check this.
If N = 0 and W = 0, then W = |N| = 0. Here, N = W
But, if N = -2 and W = 2, then |N| = 2 which equal to W but N is not equal to W
This statement is not sufficient.

Lets tak Statements 1 and 2 together:
E.g. N = W = 0 or any other number - positive or negative
N = |W| and W = |N| will not be satisified by any other combination of numbers.
Hence these statements together are sufficient.

The correct answer option is C

Hope this helps!

KarishmaB · Answer

Question: Is N = W?

Stmnt 1: N = |W|
 We see that N is positive  or 0. W may be negative. e.g. N = 5, W = 5/-5.
So N = W may or may not hold.

Stmnt 2: W= |N|
 We see that W is positive  or 0. N may be negative. e.g. W = 5, N = 5/-5.
So N = W may or may not hold.

Both together, we see that both N and W are positive. So |W| = W and |N| = N. Therefore, N must be equal to W. Sufficient.

Answer (C).

krrish · Answer

my take :

n = +/- w
and w = +/- n 
combined mod (n) = mon(w)
n= w 
so C

Bluelagoon · Answer

When i see a mod question, i automatically think of pos and neg numbers. Assume N=1 and W=-1. You can see that we need both the reach a conclusion-> Both are positive numbers.
C wins.

atulindia · Answer

Value of N is equal to value of W?

St-1 N=lWl, means N have positive value, no info about W--insuffcient
St-2 W=lNl, means W have positive value, no info abot N--insufficient
Combine- N and W both positive and equal- Sufficient
C is answer

BloomingLotus · Answer

Option C

Statement 1 : N = +ve but W can be +ve or -ve. 
 Insufficient
Statement 2 : W= +ve but N can be +ve or -ve
 Insufficient

Hence both statement are required to answer the question

Is N=W ?

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GMAT Data Sufficiency (DS) Questions

Is N=W ?

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