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SSC Selection Post 2022 PYQ — Question 61

SSC Selection Post - Higher Secondary Level 2022 - 10 Feb 2022 - Shift 2 • Quantitative Aptitude • Q61

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The given table shows the number of seats booked in different classes of a train on a particular day, and the numbers in brackets show the total availability of that particular class. Study the table and answer the question that follows:

                     Day                                                  

2nd Class Non-AC (900)

 1st Class Non-AC (500) AC III Tier (250) AC II Tier (250) AC Ist Class (150)
 Monday 850 460 480 240 145
Tuesday 840 400 450 230 120
Wednesday 830 390 480 220 130
Thursday 790 480 490 250 125
Friday 840 470 500 210 130

 

If the data related to the vacant seats for AC 1st Class is represented by a pie-chart, then the central angle of the sector representing vacant seats for AC 1st Class for Friday is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 72°.

Total number of seats occupied in AC 1st class = 145 + 120 + 130 + 125 + 130 + 130 = 650

Total number of vacant seats in AC 1st class = (150 × 5) - 650 = 100

Total seats available on Friday for AC 1st class = 150

Total seats booked on Friday for AC 1st class = 130

Number of seats vacant = 150 - 130 = 20

Central angle corresponding to the vacant seat = ( vacant seat /total vacant seats  ) × 360°

= (20 / 100) × 360° = 72°