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You are ninth in the queue from either end. How many people are there in the queue?

17 19 18 16

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Ankit Vijay by Ankit Vijay , 22, India

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10 solutions

The statement "You are ninth in the queue from either end" implies that there are 8 people before me and there are also 8 people after me.

This means that excluding me, there will be 16 people in the queue. Hence, the total number of people in the queue (including me) is 16 + 1 = 17 16 + 1 = 17 .

46 Helpful 0 Interesting 2 Brilliant 0 Confused
Feathery Studio
May 4, 2015

Center point of a line is

x 1 + x 2 2 \frac{x_{1}+x_{2}}{2}

We know

( 1 ) + x 2 2 = 9 \frac{(1)+x_{2}}{2}=9

since the line starts from person 1.

And we get

x 2 = 17 x_{2}=\boxed{17}

14 Helpful 0 Interesting 0 Brilliant 0 Confused

Given: you are in the ninth position

So, 8 people are before you and after you. Thus, 8+8+1=17 is the answer.

10 Helpful 0 Interesting 0 Brilliant 0 Confused

very concise, nice! 🤗

mann evensong - 4 years, 8 months ago

Couldn't the answer actually need any number? All the question states is that you are nine from the END, the beginning of the queue is not mentioned so, for all we know, there could be 20 people ahead.

Sara Favero - 4 years, 9 months ago

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The only relevant piece of information is that you are ninth from the END.

Sara Favero - 4 years, 9 months ago

Yes, but it's actually ninth from either end, so you are in the ninth position from first and from the last.

A Former Brilliant Member - 4 years, 8 months ago
Bharath Spidy
Jul 8, 2014

8 people before u and 8 people after you so, 1+8+8=17

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Himanshu Mishra
Aug 3, 2014

You'll be in the middle of the queue only when the no. of people in the queue is odd. In that case if there are 'N' no. of people at the front and at the back, then the total no. of people in the queue will be '2N-1'.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Correction: 2n+1

Ashish Gupta - 6 years, 1 month ago

n ins't no. of people ahead or behind you but it is your position like in this case 9th. so we put 9 and not 8.

hence,

for your position,(9th in this case) it is 2n-1

but for no. of people behind or ahead you, it is 2n+1

Sarthak Rath - 6 years, 1 month ago
Haziq Qazi
May 10, 2015

There are 8 people infront of you which makes you the ninth and there are 8 people behind you which makes you ninth counting the other way. Therefore, people in the queue is 8 infront of you + 8 behind you and YOU :D. 8+8+1=17

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Dhiraj Salian
May 10, 2015

12345678 [9th] 87654321 =17

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ricardo Feliz
May 7, 2015

9+9=18, because I am number 9 from both begining to end and end to begining;

18-1=17, because I counted me twice with the last count.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Joshua Law
Oct 9, 2018

1 1 1 1 1 1 1 1 1 me 1 1 1 1 1 1 1 1

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Let you are in x t h x^{th} in the queue. If x is ninth from either end, that should be there are 8 people in front side and 8 people in back side. Thus, the number of people in the queue is 8+1+8 = 17

0 Helpful 0 Interesting 0 Brilliant 0 Confused

This guy is in the seventh place from either side this means if he is the 7th from Right it is okay and if he is the 7th from the left it'll be okay.

The other people if you count adds up 8, eight from the other side and from the opposing side counts 8+8 And it Equals up 16

Last equation; You are 1 they are 16 Then we would add them up which is 17 therefore there are 17 people in the queue.

Thank U

Ziad Samy - 5 years, 11 months ago

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