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Question

A local television station sells time slots for programs in 30-minute intervals. If the station operates 24 hours per day, every day of the week, what is the total number of 30-minute time slots the station can sell for Tuesday and Wednesday?

A
96
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B
24
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C
48
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D
12
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Solution

The correct option is A 96
Numbers of slots in 1 hour=2
Each day has 24 hours.
Numbers of slot in 2 days = 24×2×2=96


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Q.

Direction: Read the following passage and solve the questions based on it.

Five electives, P, Q, R, S, and T, each of 3-hour duration, are scheduled on each of the five days in a week for the students in a school. There are two slots in a day: Morning (M) and Afternoon (F). Each elective is scheduled for 6 hours, one in the morning slot and the other in the afternoon slot. No elective is scheduled for 6 hours on the same day. Each elective is handled by one professor among A, B, C, D, and E.

i.P is scheduled on Tuesday and Friday
ii.If R is scheduled in one slot, then T has to be scheduled in the other slot on the same day
iii.Q is scheduled on Wednesday and Friday.
iv.Professor A, who handles S, is not available on Tuesday morning.
v. Professors B and E handle elective R and T, respectively.
vi. Professors D and C handle the sessions in the morning and afternoon slots, respectively, on Friday.
vii. Professor E is available only in the morning slot on Monday.

Common Solution :

From statements i, ii, and iii, we get the following table. R and T are scheduled on the same day. Only on Monday and Thursday, we have both slots empty. Hence, R and T are scheduled on Monday and Thursday only. So, S must be scheduled on Tuesday and Wednesday.
Days/Slots Mon Tue Wed Thurs Fri
Morning
Afternoon
RT PS QS RT PQ

From statement iv, S is handled by Professor A on Tuesday afternoon and Wednesday morning.
From statements v and vii, Professor E handles elective T on Monday morning. Hence, Professor B handles elective R on Thursday morning.
Days/Slots Mon Tue Wed Thurs Fri
Morning T-E P S-A R-B Q
Afternoon R-B S-A Q T-E P
RT PS QS RT PQ

From statement vi, Professor D handles elective Q in the morning slot on Friday and Professor C handles elective P in the afternoon slot on Friday.
Days/Slots Mon Tue Wed Thurs Fri
Morning T-E P-C S-A R-B Q-D
Afternoon R-B S-A Q-D T-E P-C

Which of the following electives is scheduled on Tuesday in any of the slots?

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