HOT Competition 31 Aug/8PM: What is the coefficient of m if you expand

Question

Moderator notice: this question had a typo and has been removed.

An extra question will be posted on Tuesday 8AM.

Sorry about that. Thank you all for pointing out the typo.

aswindvc · Answer

when we simplify and expand (1+m)(1+m^2)......(1+m^111), we get the odd number and among odd numbers given in the options, 11 is the highest. So option E is the correct answer.

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NoMercy · Answer

I think the answer should be 1 as after multiplication there will be only 1 m in expression with coefficient of 1.

Please help or correct the question.

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PassCom · Answer

None of the above! Coefficient of m would obviously just be one, since there is only one m...

binsnitin11 · Answer

What is the coefficient of m if you expand the following expression:
(1+m)(1+m2)(1+m3)(1+m4)...(1+m111)

A. 7
B. 8
C. 9
D. 10
E. 11

I am guessing, it seems something is missing in this question as there will always be 1 as coefficient of for m only

coefficient of M^ 3 or M^7 may change as expression expand but for m it remain 1

I may be wrong, but guessing

B

Kinshook · Answer

Asked: What is the coefficient of m if you expand the following expression:
(1+m)(1+m^2)...(1+m^111)

Since coefficient of m is required, any power of m greater than 1 is irrelevant and any power of m greater than 1 may be ignored.

Coefficient of m in the expression: (1+m)×1×1×1....×1 =1

Bunuel  none of the answers seem correct to me.

A. 7
B. 8
C. 9
D. 10
E. 11

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Archit3110 · Answer

for the given expression the highest power of m is 111

(1+m)(1+m^2)(1+m^3)(1+m^4)...(1+m^111)
it would always be in form of 11 when m is 10
IMO D ; 10

What is the coefficient of m if you expand the following expression:
(1+m)(1+m^2)(1+m^3)(1+m^4)...(1+m^111)

A. 7
B. 8
C. 9
D. 10
E. 11

debjit1990 · Answer

What is the coefficient of m if you expand the following expression:
(1+m)(1+m2)(1+m3)(1+m4)...(1+m111)(1+m)(1+m2)(1+m3)(1+m4)...(1+m111)

A. 7
B. 8
C. 9
D. 10
E. 11 correct

urshi · Answer

What is the coefficient of m if you expand the following expression:

The co-efficient of m can be nothing but 1

But I don't see that option among the answer choices.

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Tanushka77 · Answer

I opened first few of then and got 
 1+m^2+m^3+m^4+m^+m^6 
So it seems like the whole expression would be
 1+m^2+m^3+m^4+m^+m^6....m^12210 
But I am unable to figure out the answer. What s my mistake? 
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raghav2512 · Answer

(1+m)(1+m^2)(1+m^3)(1+m^4)...(1+m^111)

We need to find the coeff of m
Let's expand:
(1+m^2+m+m^3)(1+m^3)...(1+m^111)

(1+m^3+m^2+m^5+m+m^4+m^3+m^6)(1+m^4)...(1+m^111)
We can see that everytime we multiply, the coefficient of m remains 1 and that is the answer. Even when we multiply the last term, the coefficient of m will remain 1.

In the options we don't find 1, so going with D(10).

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dep · Answer

I guess the question may be missing something as coefficient of m will be in this case
(1+m)(1+m^2)= 1+ m+m^2+m^3
1+ m +m^2+ m^3)(1+m^4) = 1+ m+ m2+m3+m4+m5+m6+m7

Solving we have only one coefficient of m 
However for nearest to options it look like coefficient of m^ 9 was being asked 
As options are 0+9
1+8
2+7
3+6
4+5
1+2+6
1+3+5
2+3+4
 Total 8 
Hence coefficient is 8 
IMO B

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sk7075 · Answer

(1+m)(1+m^2)
=(1+m+m^2+m^3)(1+m^3)
=coefficient of m will be 1 only
Don't know what am I doing wrong.
Kindly help

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acerhax · Answer

looks like none of the answer choices are correct. Ans should be 1.

sj296 · Answer

The coefficient of m should be 1. When m is multiplied 1 then only we will get m. But there is no option. Is the question correct or am I missing anything here?

HOT Competition 31 Aug/8PM: What is the coefficient of m if you expand

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