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Bunuel
Bob, Mia, and Lou each own a number of shares of stock in a company. How many shares does Lou own?

(1) Bob and Mia together own a total of 800 shares.

(2) Bob and Lou together own a total of 500 shares.


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Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
Let the number of shares owned by Bob, Mia and Lou be B, M and L respectively.

Statement 1:

Bob and Mia together own a total of 800 shares.

B + M = 800. Since we don’t know the total shares of all three.

Insufficient

Statement 2:

Bob and Lou together own a total of 500 shares.

B + L = 500

Since we don’t know the total shares of all three.

Insufficient

Combining both Statement 1 and Statement 2, we get

M - L = 300

Since we don’t know the total shares of all three.

Insufficient

Option E
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Let stocks of Bob =b, Mia be m and Lou be l
Option 1
b+m=800 we can't say anything about Lou so not sufficient

option 2
b+l=500 again we can't say the exact stocks for Lou from here.

Option 1+2
b+m=800
b+l=500
2b+m+l=1300 (we again can't say anything about the stock count of Lou Hence i feel it should be Option E
Bunuel
Bob, Mia, and Lou each own a number of shares of stock in a company. How many shares does Lou own?

(1) Bob and Mia together own a total of 800 shares.

(2) Bob and Lou together own a total of 500 shares.


­
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
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