GATE 2026 XH2 (English) – Question 15
Three statements, S1, S2 and S3 are given, followed with 4 conclusions, C1, C2, C3 and C4.
S1: Hostel authorities organised a special lunch on 01-02-26 during 12 noon to 3 pm, for those residents of the Hostel, who paid hostel mess fees on time.
S2: Hostel authorities issued a notice that, since elections for Mess Council is held during 4-5 pm of 01-02-26, residents of the Hostel who are contesting the elections need to stay away from the hostel since morning till 5 pm.
S3: Hostel residents who were eligible to have special lunch, had it on 01-02-26.
C1: Residents who did not have special lunch on 01-02-26, either did not pay hostel mess fees on time or were contesting elections.
C2: Residents having special lunch on 01-02-26, were either not contesting elections or had paid hostel mess fees on time.
C3: Residents who are contesting elections need not care about paying mess fees.
C4: Residents who have paid hostel mess fees on time could join special lunch only if they are not contesting elections.
Which of the conclusion(s) is/are incorrect?
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Show answer and explanation
Correct answer: (A) Only one among C1, C2, C3 and C4 is incorrect.
Explanation
By S1 only residents who paid the mess fees on time were invited, and by S3 all of them had the lunch. So a resident without lunch had not paid on time (which fits C1, whose 'either ... or' includes this case), and a resident who had lunch had paid on time (C2). By S2 a contesting resident has to stay away from the hostel in the morning and afternoon, so such a resident cannot attend the lunch. That makes C4 true. C3 does not follow from any statement: paying on time is still what decides the invitation, and contesting only keeps the person away. So only C3 is incorrect.