Consider a group comprising of 4 students: Reena, Beena, Meena and Neena, who stand in a row. Reena and Beena stand in 6 th and 7 th positions respectively from the left. Meena and Neena stand in the 4 th and 5 th positions respectively from the right. When Beena and Meena exchange their positions, then Beena will be 15 th from the left. Originally, Neena's position from the left is:
14
Finding Student Positions in a Row
Let's break down the problem step by step to find Neena's original position from the left side of the row.
Initial Positions of Students
We are given the initial positions of the four students:
- Reena is in the 6th position from the left.
- Beena is in the 7th position from the left.
- Meena is in the 4th position from the right.
- Neena is in the 5th position from the right.
Position Exchange and New Information
Next, Beena and Meena exchange their positions. This means Beena moves to where Meena was, and Meena moves to where Beena was.
After the exchange:
- Beena is now at Meena's original position.
- Meena is now at Beena's original position.
We are told that after this exchange, Beena is in the 15th position from the left.
Calculating Total Number of Students
Since Beena is now at Meena's original position, Beena's new position is the same as Meena's original position. We know Meena's original position was 4th from the right.
So, after the exchange, Beena is:
- 15th from the left (given).
- 4th from the right (because she is now at Meena's original spot).
Now we can find the total number of students in the row using the formula:
$\text{Total Number of Students} = (\text{Position from Left}) + (\text{Position from Right}) - 1$
Using Beena's position after the exchange:
$\text{Total Number of Students} = 15 (\text{from left}) + 4 (\text{from right}) - 1$
$\text{Total Number of Students} = 19 - 1$
$\text{Total Number of Students} = 18$
There are a total of 18 students in the row.
Finding Neena's Original Position from the Left
We need to find Neena's original position from the left. We know Neena's original position from the right was 5th, and we now know the total number of students is 18.
We can use a similar formula to find the position from the left when the total number of students and the position from the right are known:
$\text{Position from Left} = (\text{Total Number of Students}) - (\text{Position from Right}) + 1$
Using Neena's original position from the right and the total number of students:
$\text{Neena's Position from Left} = 18 - 5 (\text{from right}) + 1$
$\text{Neena's Position from Left} = 13 + 1$
$\text{Neena's Position from Left} = 14$
Therefore, Neena's original position from the left is 14th.
Important Questions from Order Based
Out of six objects, A, B, C, D, E, and F, D is twice as heavy as B. C's weight is half that of E. B and E together are one and a half times as heavy as A. A is one and a half times as heavy as D. F is one and a half times as heavy as C. Who is the heaviest among them?
S is shorter than K but taller than R, M is the tallest. A is a little shorter than K and a little taller than S. Who is the shortest?
Among P, Q, R, S and T, each one is having a different height. Q is shorter than only T and S is shorter than P and Q. S is not the shortest. Who among them is the shortest?
In a row of students, Amit is fifteenth from the left and Bindu is fourth from the right. There are three students between Amit and Bindu. Cintu is just left of Amit. What is Cintu’s position from the right?
Anitha, Mahima, Rajan, Latha and Deepti are five cousins. Anitha is twice as old as Mahima. Rajan is half the age of Mahima. Anitha is half the age of Deepti and Rajan is twice the age of Latha.
Who is the oldest?
