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In the famous Hawthorne studies by Elton Mayo, emplovecs of the organization were given the options of going to several places for entertainment. Onc-seventh of the employees preferred to go to the polo ground, a number equal to the square root of the remaining employees went to the museum. One-fifth of the remaining employees went to the fair. One-third of the remaining to the science exhibition and the rest to watch movie ASHOKA. which was running house full in the nearby theatre. The total number of employ ees who yvcnl to the polo ground and the museum is twice that of the employees who went to the fair.

Q.The entry tickets for museum, fair, exhibition and the movie were Rs 5, Rs 4, Rs 2 and Rs 25 respectively. How much money did the employees pay for all these on that Sunday?
  • a)
    Rs 275
  • b)
    Rs 320
  • c)
    Rs 388
  • d)
    Rs 470
Correct answer is option 'D'. Can you explain this answer?
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Given Information:

- One-seventh of the employees preferred to go to the polo ground.
- The number of employees who went to the museum is equal to the square root of the remaining employees.
- One-fifth of the remaining employees went to the fair.
- One-third of the remaining employees went to the science exhibition.
- The rest of the employees went to watch the movie ASHOKA.
- The total number of employees who went to the polo ground and the museum is twice that of the employees who went to the fair.
- The entry tickets for museum, fair, exhibition and the movie were Rs 5, Rs 4, Rs 2 and Rs 25 respectively.

To Find: Total money spent by the employees on the tickets of different events.

Solution:

Let's assume that the total number of employees in the organization is 'x'.

According to the question,

- 1/7th of the employees preferred to go to the polo ground.

Therefore, the number of employees who went to the polo ground = x/7

- The remaining employees = x - (x/7) = 6x/7

- The number of employees who went to the museum is equal to the square root of the remaining employees.

Therefore, the number of employees who went to the museum = √(6x/7)

- The number of employees who went to the fair = (1/5) * (6x/7) = 6x/35

- The remaining employees = (6x/7) - (6x/35) = (24x/35)

- The number of employees who went to the science exhibition = (1/3) * (24x/35) = 8x/35

- The number of employees who went to watch the movie ASHOKA = (24x/35) - (8x/35) = 16x/35

- The total number of employees who went to the polo ground and the museum is twice that of the employees who went to the fair.

Therefore, (x/7) + √(6x/7) = 2 * (6x/35)

Solving the above equation, we get √(6x/7) = 12x/35 - x/7

Squaring on both sides, we get 6x/7 = 144x^2/1225 + x^2/49 - 24x/35

Simplifying the above equation, we get x^2 = 1225

Therefore, x = 35

Now, we can calculate the number of employees who went to each event.

- The number of employees who went to the polo ground = x/7 = 5

- The number of employees who went to the museum = √(6x/7) = 4

- The number of employees who went to the fair = 6x/35 = 6

- The number of employees who went to the science exhibition = 8x/35 = 8

- The number of employees who went to watch the movie ASHOKA = 16x/35 = 16

Total money spent by the employees = (5 * 0) + (4 * 5) + (6 * 4) + (8 * 2) + (16 *
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In the famous Hawthorne studies by Elton Mayo, emplovecs of the organization were given the options of going to several places for entertainment. Onc-seventh of the employees preferred to go to the polo ground, a number equal to the square root of the remaining employees went to the museum. One-fifth of the remaining employees went to the fair. One-third of the remaining to the science exhibition and the rest to watch movie ASHOKA. which was running house full in the nearby theatre. Thetotal number of employ ees who yvcnl to the polo ground and the museum is twice that of the employees who went to the fair.Q.The entry tickets for museum, fair, exhibition and the movie were Rs 5, Rs 4, Rs 2 and Rs 25 respectively. How much money did the employees pay for all these on that Sunday?a)Rs 275b)Rs 320c)Rs 388d)Rs 470Correct answer is option 'D'. Can you explain this answer?
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In the famous Hawthorne studies by Elton Mayo, emplovecs of the organization were given the options of going to several places for entertainment. Onc-seventh of the employees preferred to go to the polo ground, a number equal to the square root of the remaining employees went to the museum. One-fifth of the remaining employees went to the fair. One-third of the remaining to the science exhibition and the rest to watch movie ASHOKA. which was running house full in the nearby theatre. Thetotal number of employ ees who yvcnl to the polo ground and the museum is twice that of the employees who went to the fair.Q.The entry tickets for museum, fair, exhibition and the movie were Rs 5, Rs 4, Rs 2 and Rs 25 respectively. How much money did the employees pay for all these on that Sunday?a)Rs 275b)Rs 320c)Rs 388d)Rs 470Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In the famous Hawthorne studies by Elton Mayo, emplovecs of the organization were given the options of going to several places for entertainment. Onc-seventh of the employees preferred to go to the polo ground, a number equal to the square root of the remaining employees went to the museum. One-fifth of the remaining employees went to the fair. One-third of the remaining to the science exhibition and the rest to watch movie ASHOKA. which was running house full in the nearby theatre. Thetotal number of employ ees who yvcnl to the polo ground and the museum is twice that of the employees who went to the fair.Q.The entry tickets for museum, fair, exhibition and the movie were Rs 5, Rs 4, Rs 2 and Rs 25 respectively. How much money did the employees pay for all these on that Sunday?a)Rs 275b)Rs 320c)Rs 388d)Rs 470Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the famous Hawthorne studies by Elton Mayo, emplovecs of the organization were given the options of going to several places for entertainment. Onc-seventh of the employees preferred to go to the polo ground, a number equal to the square root of the remaining employees went to the museum. One-fifth of the remaining employees went to the fair. One-third of the remaining to the science exhibition and the rest to watch movie ASHOKA. which was running house full in the nearby theatre. Thetotal number of employ ees who yvcnl to the polo ground and the museum is twice that of the employees who went to the fair.Q.The entry tickets for museum, fair, exhibition and the movie were Rs 5, Rs 4, Rs 2 and Rs 25 respectively. How much money did the employees pay for all these on that Sunday?a)Rs 275b)Rs 320c)Rs 388d)Rs 470Correct answer is option 'D'. Can you explain this answer?.
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