The pie chart given below shows the population of seven states L, M, N, O, P,…

2021

The pie chart given below shows the population of seven states L, M, N, O, P, Q and R. Total population of all these seven states is 225000. Population of a particular state is shown as a percent of total population of all these seven states. J1 = Sum of population of states N and O J2 = Difference between population of state M and N J3 = Average population of states M, N, O and P What is the value of (J1 + J2 + J3)?

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  1. A.

    137350

  2. B.

    142875

  3. C.

    147275

  4. D.

    147350

Attempted by 23 students.

Show answer & explanation

Correct answer: B

First, convert the percentage distribution of each relevant state into absolute population values (Total = 225,000):

State M: 32% of 225,000 = 72,000

State N: 16% of 225,000 = 36,000

State O: 14% of 225,000 = 31,500

State P: 8% of 225,000 = 18,000

Next, calculate the variables:

J1 (Sum of N and O): 36,000 + 31,500 = 67,500

J2 (Difference between M and N): 72,000 - 36,000 = 36,000

J3 (Average of M, N, O, and P): (72,000 + 36,000 + 31,500 + 18,000) / 4 = 157,500 / 4 = 39,375

Finally, sum the variables:

J1 + J2 + J3 = 67,500 + 36,000 + 39,375 = 142,875

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