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Question

In a row of 85 people, Anusha is $30^{\text{th}}$ from the left side and Bhanu is $18^{\text{th}}$ from the right side. Then find the number of people who are sitting exactly between them.

The correct answer is
37

Row People Calculation: Anusha and Bhanu Positions

This solution details the steps to calculate the number of people positioned between Anusha and Bhanu in a linear arrangement.

Information Provided

  • Total people in the row: $N = 85$
  • Anusha's position counting from the left: $P_A_{\text{left}} = 30$
  • Bhanu's position counting from the right: $P_B_{\text{right}} = 18$

Calculating People Between

To find the number of individuals situated between Anusha and Bhanu, we can use a direct formula based on their positions relative to the ends of the row.

  1. Sum Positions: Calculate the total count represented by Anusha's left position and Bhanu's right position. This sum includes Anusha, Bhanu, and everyone between them. $ \text{Positions Sum} = P_A_{\text{left}} + P_B_{\text{right}} $ $ \text{Positions Sum} = 30 + 18 = 48 $
  2. Determine Intermediate Count: The number of people *between* Anusha and Bhanu is found by subtracting this sum from the total number of people in the row. $ \text{People Between} = N - \text{Positions Sum} $ $ \text{People Between} = 85 - 48 = 37 $

Thus, there are 37 people positioned exactly between Anusha and Bhanu.

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Important Questions from Ordering and Ranking

  1. Three persons A, Band Care standing in a queue not necessarily in the same order. There are 4 persons between Aand B, and 7 persons between Band C. If there are 11 persons ahead of Cand 13 behind A, what could be the minimum number of persons in the queue?

  2. In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:

  3. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?

  4. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled between Statistics and English?

  5. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is the last one in the week?

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