Quantcast
Channel: GMAT Club Forum - Forums > Problem Solving (PS)
Viewing all articles
Browse latest Browse all 462833

Data Sufficiency (DS) | Re: If n and y are positive integers and n represents the number of differ

$
0
0
Bunuel wrote:

If n and y are positive integers and n represents the number of different positive factors of y, is y a perfect square?

(1) √n is an odd integer
(2)\( y =\sqrt{5^{2(n-1)}}\)


n,y: positive integers
n = f(y)

if y is a perf square, then n=odd
ie. y=25, f(25)=5ˆ2=(2+1)=3
ie. y=16,f(16)=2ˆ4=(4+1)=5

(1) √n is an oddinteger sufic

if √n=odd, (n positive integer), then n=oddˆ2 which is an oddnumber

(2)\( y =\sqrt{5^{2(n-1)}}\) insufic

\( y =\sqrt{5^{2(n-1)}}=5ˆ(n-1)\)

n=1: 5ˆ0=1 perfsquare=yes
n=2: 5ˆ(2-1)=5perfsquare=no


...

Viewing all articles
Browse latest Browse all 462833

Latest Images

Trending Articles



Latest Images