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  • Directions for question: The headquarters of the Ramkrishna Mission and Ramkrishna Math founded by Swami Vivekananda, the disciple of Sri Ramkr

Directions for question:

The headquarters of the Ramkrishna Mission and Ramkrishna Math founded by Swami Vivekananda, the disciple of Sri Ramkrishna Paramhansa, is located at the majestic Belur Math, on the banks of the Ganges, in Howrah. It is one of the largest philanthropic institutions of the world and a place of pilgrimage for truth seekers all over the world from different religious faiths, and has a lot of footfall on a daily basis.

In the morning session, Belur Math opens its gates to all from 6.30 am to 1.30 pm every day. Entry and exit gates open after every one hour interval from 6.30 am, that is at 7.30 am, 8.30 am, and so on till 1.30 pm. People can enter or exit the Math only at those times. At 1.30 pm all people in the Math will have to leave and the Math gets closed to re-open in the evening at 6.30 pm again.

Three types of people visit the Belur Math every day. They are a) Disciples of Sri Ramkrishna Paramhansa and Swami Vivekananda, b) Donors to the Ramkrishna Mission for their philanthropic activity, and c) Pilgrims from all class of society. It has been observed that the Disciples stay at the Math for either 3 or 4 hours, the Donors stay for either 2 or 3 hours, and the pilgrims stay for either 1 or 2 hours.

On the 22nd of August 2022, at 2.00 pm, it was observed from the records at the security counter beside the entry and exit gates that 96 Disciples, 120 Donors and 240 Pilgrims had visited the Math that day since the gates opened at 6.30 am. An incomplete record of the entry and exit of the three types of people at different times was also available as below :

  Entry Exits
Disciples Donors Pilgrims Disciples Donors Pilgrims
6.30 am     12      
7.30 am   48        
8.30 am   0     36 0
9.30 am 0       0 0
10.30 am 24 12       96
11.30 am     0   24  
12.30 pm     24 12 0 0
1.30 pm       24    

Question:

What is the total number of people who exited the Belur Math on 22nd August 2022 at 9.30 am, 10.30 am and 11.30 am ?

Option: 1

336


Option: 2

288


Option: 3

228


Option: 4

Cannot be determined 

 


Answers (1)

best_answer

We already know that the complete data on 22nd August 2022 of the entry and exit of the 96 Disciples, 120 Donors and 240 Pilgrims at the different times when the entry and exit gates opened were as below :

  Entry Exit
Disciples Donors Pilgrims Disciples Donors Pilgrims
6.30 am x 36 12 0 0 0
7.30 am 60-x 48 0 0 0 12
8.30 am 12 0 m 0 36 0
9.30 am 0 24 n  a 0 0
10.30 am 24 12 204-(m+n) b 48 96
11.30 am 0 0 0 60-(a+b) 24 108
12.30 pm 0 0 24 12 0 0
1.30 pm 0 0 0 24 12 24
Total     96 120 240 96 120 240

The total number of Disciples who exited the Belur Math on 22nd August 2022 at 9.30 am, 10.30 am and 11.30 am = a+b+{60-(a+b)} = 60

The total number of Donors who exited the Belur Math on 22nd August 2022 at 9.30 am, 10.30 am and 11.30 am = 0+48+24 = 72

The total number of Pilgrims who exited the Belur Math on 22nd August 2022 at 9.30 am, 10.30 am and 11.30 am = 0+96+108 = 204

Hence, the total number of people who exited the Belur Math on 22nd August 2022 at 9.30 am, 10.30 am and 11.30 am 

= 60+72+204 = 336

 

Posted by

seema garhwal

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