If m = n^(p+2q)/((n^q)^2), what is the value of m?

Question

GMATBusters’ Quant Quiz Question -4

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If  m = \frac{n^{(p+2q)}}{(n^q)^2} , what is the value of positive integer m?

(1) n = 5
(2) p = 0

GMATBusters · Answer

Official Solution:

m = \frac{n^{(p+2q)}}{(n^q)^2} 
1) n =5
simplifying, we get m = n^(p+2q-2q) =  n^p 
no info about p.
NOT Sufficient to find the value of m

2) p = 0
Simplifying, we get m =  n^p 
now, any number raised to power 0 = 1 
(except 0 raised to power 0 is not defined, it is not tested in GMAT)
Also, in Question stem it is given that m is a positive integer, hence n cannot be Zero.

So, m = 1
Sufficient.

Answer B

Raxit85 · Answer

If m ={n^(p+2q}/(nq)2(nq)2, what is the value of m?
1) n = 5
Not sufficient as we don't know p, q.

2) p = 0
Not sufficient as we don't know n, q.

1) +2)
We don't know q. So insufficient.

Ans. E

Ans E

ashwini2k6jha · Answer

m=n^p
statement1:n=5
m=5^p no information about p
statement2: m=n^0=1 sufficient
Answer B

uc26 · Answer

m ={n^(p+2q}/(nq)2(nq)2
As per exponents rule,
m=a^b/ a^c= a^b-c
Likewise here, m= n^p+2q-2q
m= n^p

We need information on n and p.

1) No information on p. Not sufficient.
2) p=0 
 n^0= 1
Enough to find the value of m.
Sufficient.

Answer: B

Archit3110 · Answer

given
m= n^(p+2q) / (n^q)^2
m= n^(p+2q) / n^2q
m= n^p*n^2q / n^2q
m= n^p
#1
n=5
insufficient as p not know
#2
p=0
for whatever value of n ; m will always be 1 
sufficient
OPTION B

If m ={n^(p+2q}/(nq)2, what is the value of m?
1) n = 5
2) p = 0

Kinshook · Answer

Asked: If m ={n^(p+2q}/(n^q)^2, what is the value of m?

1) n = 5
 m=\frac{5^{p+2q}}{5^{2q}} 
 m=5^{p+2q-2q}= 5^p 
Since p is unknown
NOT SUFFICIENT

2) p = 0
 m=n^{2q}/n^{2q} = n^{2q-2q} = n^0 = 1 
SUFFICIENT

IMO B

r_wNj4sasCI

1BlackDiamond1 · Answer

Answer is B.

Statement 1 is not sufficient to answer the question.
Statement 2 is sufficient to answer the question.

freedom128 · Answer

m = n^(p+2q) / n^(2q) 
= n^(p+2q-2q)
= n^p

Q. what is the value of m?

1) n = 5 
m = n^p = 5^p
We need value of p to know the exact value of m
NOT SUFFICIENT

2) p = 0 
m = n^p = n^0
- m is positive integer, so n must be non-zero number
- If n=1, 2, 5, ... then m = 1
We need value of n to know the exact value of m
SUFFICIENT

FINAL ANSWER IS (B)

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shameekv1989 · Answer

m = \frac{n^{p} * n^{2q}}{(n^q)^2} 
 m = \frac{n^{p} * n^{2q}}{(n^{2q})} 
 m = n^{p}

i) n = 5; No information about p - Insufficient

ii) p = 0 => m=1 - Sufficient

Answer - B

ricky05 · Answer

for finding out the value we need value of q also. which is not given in both statements. Hence E is OA

StevenA · Answer

If m ={n^(p+2q}/(nq)2(nq)2, what is the value of m?
1) n = 5
2) p = 0

m=\frac{(n^{p+2q})}{(n^{q^{2}})}  =  n^{p+2q-2q}  =  n^{p}

1st Statement
m= n^{p}  =  5^{p} . Value of m is still unknown

2nd Statement
m =  n^{p}  =  n^{0}  = 1. Hence, B is correct

If m = n^(p+2q)/((n^q)^2), what is the value of m?

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