GATE | GATE-CS-2015 (Set 3) | Question 65

The head of a newly formed government desires to appoint five of the six selected members P, Q, R, S, T and U to portfolios of Home, Power, Defence, Telecom, and Finance. U does not want any portfolio if S gets one of the five. R wants either Home or Finance or no portfolio. Q says that if S gets either Power of telecom, then she must get the other one. T insists on a portfolio if P gets one Which is the valid distribution of portfolios?
(A) P-Home, Q-Power, R-Defence, S-Telecom, T-Finance
(B) R-Home, S-Power, P-Defence, Q-Telecom, T-Finance
(C) P-Home, Q-Power, T-Defence, S-Telecom, U-Finance
(D) Q-Home, U-Power, T-Defence, R-Telecom, P-Finance


Answer: (B)

Explanation:

Six selected members are P, Q, R, S, T and U

Portfolios are Home, Power, Defence, Telecom, and Finance. 

U does not want any portfolio if S gets one of the five. 

R wants either Home or Finance or no portfolio. 

Q says that if S gets either Power of telecom, then she must 
get the other one.

T insists on a portfolio if P gets one Which is the valid 
distribution of portfolios?

A) P-Home, Q-Power, R-Defence, S-Telecom, T-Finance
Not valid as R doesn't get home or finance here

R-Home, S-Power, P-Defence, Q-Telecom, T-Finance
Is valid and satisfies all conditions.

C) P-Home, Q-Power, T-Defence, S-Telecom, U-Finance
Not valid as U is not satisfied. Condition for U is, S should not
get any portfolio.

D) Q-Home, U-Power, T-Defence, R-Telecom, P-Finance
Like A, not valid as R doesn't get home or finance here

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