Around the World in 80 Questions (Day 8): What is the value of

Question

What is the value of nonzero integer m ?

(1) m^m = m^3
(2) |m^3| = 1

Archit3110 · Answer

given that m is nonzero integer
what is value of m

#1
m^m = m^3
m can be +1 or -1
insufficient

#2
|m^3| = 1
m can be +1 or -1
insufficient
from 1 &2
m= +1 or -1
insufficient
  OPTION E

missionmba2025 · Answer

(1) m^m = m^3

a) m = -1

(-1)^(-1) = (-1)^3

b) m = 1

(1)^(1) = (1)^3

m can +1 or m can be -1

Not sufficient.

(2) |m^3| = 1

Taking square on both sides

m^6 = 1

m can +1 or m can be -1

Not sufficient.

Combined

Both values are applicable. Hence the statements combined isn't sufficient as well.

IMO E

Amit700 · Answer

Statement 1 alone: 
m^m = m^3; m can be 3, 1, or -1 so LH = RH so we have 3 different non-zero intergers 
so statement 1 alone is not sufficient to answer the question.

Statement 2 alone:
m can be 1 or -1, we have 2 different values of m so 
statement 2 alone is not sufficient to answer the question.

Combine (1+2)
still, we can have the two different values of m (1 and -1) 
so combining 1+2 is also not sufficient.

So the correct answer is a statement E

Flower_Child · Answer

(1) m^m = m^3 
We can try substituting multiple values like 1,2,3,.... .
 1^1 = 1^3
{-1}^{-1} = {-1}^3
3^3=3^3 
After substituting few values we can see that m can have values 1 , -1 , 3.
Since we have multiple values of m, this choice is insufficient.

(2) |m^3| = 1 
m^3 = 1 or m^3 = -1
m=1 or m= -1
Since we have multiple values of m, this choice is insufficient.

(1) + (2)
From 1 and 2, we get two values of m : 1 and -1 .
Thus insufficient.

Answer :  E

kamalsharmam21 · Answer

Statement a gives value of m as 3,1,-1 so not sufficient

Statement b gives value of m as 1 and -1 so not sufficient

Combining both

M value comes out to be 1 and -1

So both together also do not give solution hence E

Posted from my mobile device

AK1995 · Answer

Statement 1 : 
There are three possible values of m from this statement:
m = 1, -1 or 3
Hence,  not sufficient

Statement 2 :
There are two possible values of m from this statement
m = 1 or -1
Hence,  not sufficient

Combining both the statements :
m = 1 or -1
Still  not sufficient

Hence answer option  E

sampathgelam · Answer

What is the value of nonzero integer m ?
m cannot be zero
Statement (1) m^m = m^3
(m^m)/(m^3) =1
hence m^m-3 =1
m can be -1/ 3 /1
Statement 1 not sufficient
 
(2) |m^3| = 1
m can be -1/ 1
Statement 2 not sufficient

Combining 1 & 2
m can be -1/ 1
Hence combination of Statement 1 & 2 is not sufficient

Option E

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Around the World in 80 Questions (Day 8): What is the value of

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