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I think the answer will be C

(M+N)^2 = M^2 +N^2 +2MN

SO WE HAVE ALL THE VALUE IN I AND II. SO why not C is the answer.
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I think the answer will be C

(M+N)^2 = M^2 +N^2 +2MN

SO WE HAVE ALL THE VALUE IN I AND II. SO why not C is the answer.

There is a solution given HERE explaining why the answer is E and not C.

So basically, two sets satisfy mn = 10 and m^2 + n^2 = 29: m = 5 and n = 2 (or vise-versa) and m = - 5 and n = -2 (or vise-versa). The first set gives m + n = 7, while the second one gives m + n = -7.

The problem with your solution is that from (1)+(2) we can get that (m + n)^2 = m^2 + 2mn + m^2 = 29 + 20 = 49. But from this m + n could be both 7 and -7.

Hope it's clear.
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BijayKru
I think the answer will be C

(M+N)^2 = M^2 +N^2 +2MN

SO WE HAVE ALL THE VALUE IN I AND II. SO why not C is the answer.

There is a solution given HERE explaining why the answer is E and not C.

So basically, two sets satisfy mn = 10 and m^2 + n^2 = 29: m = 5 and n = 2 (or vise-versa) and m = - 5 and n = -2 (or vise-versa). The first set gives m + n = 7, while the second one gives m + n = -7.

The problem with your solution is that from (1)+(2) we can get that (m + n)^2 = m^2 + 2mn + m^2 = 29 + 20 = 49. But from this m + n could be both 7 and -7.

Hope it's clear.

Can I conclude that DS need a particular answer and if we don't have that we can't select either of Above 4 options?

Posted from my mobile device
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Bunuel
BijayKru
I think the answer will be C

(M+N)^2 = M^2 +N^2 +2MN

SO WE HAVE ALL THE VALUE IN I AND II. SO why not C is the answer.

There is a solution given HERE explaining why the answer is E and not C.

So basically, two sets satisfy mn = 10 and m^2 + n^2 = 29: m = 5 and n = 2 (or vise-versa) and m = - 5 and n = -2 (or vise-versa). The first set gives m + n = 7, while the second one gives m + n = -7.

The problem with your solution is that from (1)+(2) we can get that (m + n)^2 = m^2 + 2mn + m^2 = 29 + 20 = 49. But from this m + n could be both 7 and -7.

Hope it's clear.

Can I conclude that DS need a particular answer and if we don't have that we can't select either of Above 4 options?

Posted from my mobile device

There are two types of data sufficiency questions:

1. YES/NO DS Questions:

In a Yes/No Data Sufficiency questions, statement(s) is sufficient if the answer is “always yes” or “always no” while a statement(s) is insufficient if the answer is "sometimes yes" and "sometimes no".


2. VALUE DS QUESTIONS:

When a DS question asks about the value of some variable, then the statement(s) is sufficient ONLY if you can get the single numerical value of this variable.

This question is a VALUE question, so a statement to be sufficient it should give the single numerical value of m + n.


Hope it's clear.
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DHAR
If M and N are integers, what is the value of M + N?

(1) MN = 10
(2) \(M^2+N^2=29\)

(1) \(1*10=10; 2*5=10\); Insufficient.

(2)\( (2)^2+(5)^2=29; (-2)^2+(-5)^2=25\);[/m] Insufficient.

Considering Both;

\((M+N)^2=M^2+N^2+2*MN=29+20=49\)

\((M+N)^2=49\)

M+N=+7 OR -7; Insufficient.

The answer is \(E\)
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DHAR
If M and N are integers, what is the value of M + N?

(1) MN = 10
(2) \(M^2+N^2=29\)

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Answer: Option E

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