GATE CE 2015 Set 1 — Question 10
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General Aptitude → Analytical Aptitude → Deduction & Induction
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Question
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, Defense, 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 or Telecom, then she must get the other one. T insists on a portfolio if P gets one.Which is the valid distribution of portfolios?
Correct answer
(B) R-Home, S-Power, P-Defense, Q-Telecom, T-Finance
Solution
Let's evaluate the conditions against the given options:
1.Condition 1: If S gets a portfolio, U does not ().
2.Condition 2: R wants Home, Finance, or no portfolio ().
3.Condition 3: If S gets Power or Telecom, Q must get the other ().
4.Condition 4: If P gets a portfolio, T must get one ().
Evaluating Options:- (A): R is assigned Defense. This violates Condition 2. Invalid.
- (B): S gets Power, Q gets Telecom (Condition 3 satisfied). R gets Home (Condition 2 satisfied). P gets Defense, T gets Finance (Condition 4 satisfied). S is in, U is out (Condition 1 satisfied). Valid.
- (C): S gets Telecom, U gets Finance. This violates Condition 1. Invalid.
- (D): R is assigned Telecom. This violates Condition 2. Invalid.
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