## Aptitude Tests - Number Ranking and Time Sequence

The
position of a object/person /thing etc, in a definite order is called as Rank

**Position of the person from upward=( Total number of persons – Position of person from down)+1.**Example : Sudheer ranks 7

^{th}from the down in a class of 30 students. What is his rank from the first?

**Answer:**There are 30 students in the class. And rank of Sudheer is 7

^{th}from the last.

∴, his rank from the
top= (Number of students – Rank from last) + 1

=
(30-7)+1=24

*Position of a person from downward=( Total number of persons-Position of person from up)+1.*Example: Sravani ranks 8

^{th}from the top in a class of 45 students. Find her rank from the down?

**Answer:**There are 45 students in the class and Sravani ranks 8

^{th}from the top.

Her
rank from the last =(Total number of students – Rank from first)+1= (45-8)+1=38

**Position of the person from right =(Total number of persons –Position of the person from left) +1 =**

Example: 16 persons sit in a straight line. The position of Sharma is 9

^{th}from the left . What is his position from the right?

**Answer**:

There
are 16 persons in the line and the position of Sharma is 9

^{th}from the left.
Sharma’s
position from the right = (Total members sit in the line – Sharma’s position
from the left)+1 =( 16-9)+1=8

Sharma
is 8

^{th}from the right.**Position of a person from left = (Total number of persons – Position of person from right) +1**

Example : 24 girls are sitting in a line. The position of vasudha
is 11

^{th}from the right. What is her position from the left ?**Answer :**There are 24 girls in the line and Vasudha is 11

^{th}from the right.

The
position of Vasudha from left=(Total girls in the line – Position of Vasudha
from right)+1= (24 -11)+1=14

So
the position of Vasudha from right is 14

^{th}.

**If two persons are on a definite position from top and bottom (or left and right or top and down) and they interchange their ranks(places), then**

**i) Total number of person in order=(Previous position of first person + Present position of second person)-1**

**II) Present position of the first person or present position of the second person= Difference of present and previous positions of the 2**^{nd}person + previous position of 2^{nd}person= Difference of present and previous positions of first person + previous position of 2^{nd}personExample: In a row of boys, Shiva is eighth from the left and Rajesh is nineteenth from the right. If the interchange their positions, Shiva becomes fourteenth from the left . How many boys are there in the row?

**Answer :**Total number of girls =(Second position of Shiva + First position of Rajesh)-1

=
(14+19)-1 = 32

In a square of girls, Sameera is 6

^{th}from the left and Sravani is 8^{th}from the right. When the interchange their places among themselves, Sameera become 18^{th}from the left. Then, what will be Sravani’s present position from the right?**Answer :**Sravani’s position from the right = Difference of two positions of Sameera + First position of Sravani.

=(18-6)+8=20

Sravani
is in position of 20

^{th}from the right**Solved Problems:**

**1.**Sharma’s Position is 14

^{th}from upwards in a class of 47 students. What will be his position from downwards?

**Answer :**

Sharma’s
Position from downwards =(Total students – Sharma’s position from upwards)+1 =
(43-14)+1 =30

So Sharma will be in 13

^{th}position from downwards.

**2.**Sameera is on 19

^{th}position from upwards and on 40

^{th}position from downwards in a class. How many students are in class ?

**Answer :**Total number of students in the class =( Sameera’s position from upwards + Sameera’s position from downwards )-1 = (19+40)-1= 58

So
there are 58 students in the class.

**3.**Some men are sitting a line. Mr. Tripathy is on 27

^{th}place from left and Mr.Saxena is on 28

^{th}place from right. There are 12 men in between them. How many men are there in the line?

**Answer :**

Total
number of men = ( Mr. Tripathy’s place from left + Mr Saxena’s place from
right)+ ( Men between them) = (27+28)+12 =67.

There
are 67 men are sitting in the line.

**4.**In a queue of students, Krishna is 22

^{th}from the left and Rama is 15

^{th}from the right. They interchange their positions. Now Krishna is 30

^{th}from the right. What is the total number of boys in the queue ?

**Answer :**Total number of students =( First position of Krishna + 2

^{nd}position of Rama) -1 = (22+30)-1 =51

So
there are 51 students in the class.

**5.**In a queue, Vishal is 18

^{th}from the front and Ajith is 25

^{TH}from the end , while Trisha is in between Vishal and Ajith. If Vishal be ahead of Ajith and there are 60 persons in the queue, how many persons are there between Vishal and Trisha?

**Answer :**

Number
of persons between Vishal and Ajith = Total persons –(Postion of Vishal from
the front + Position of Ajith from the end) = 60-(18+25)=17.

Now,
Trisha lies in middle of the these 17 persons, i.e, at the 8

^{th}position.
So
number of persons between Vishal and Trisha = =7

**6.**Raman Shastri is on 23

^{th}position from the front and on 18

^{th}position from the end in his class.He is on 18

^{th}position from the top and on 8

^{th}position from the end among students who passed in the examination. How many students failed in the examination?

**Answer :**

Total
students =( Shastri’s place from starting + Shastris place from the end)-1
=(33+18)-1=41-1=40.

Total
passed students = (Shastri’s position from the top + Shastri’s position from
the end)-1= (18+13)-1=30

∴, number of failed
students =( Total students – Number of students passed)

=(40-30)=10

**7.**In a row of students, Bhavya is seventeenth from the left and Mohana is ninth from the right. When Bhavya and Mohana exchange their positions, Bhavya will be 32

^{nd}person from the left. Which will be Mohana’s position from the right?

**Answer :**After exchanging positions , Bhavya becomes fifteenth instead of seventh from the left., it means there are 7 students between them. So Mohana’s position from the right = (Differecence of two positions of Bhavya + First position of Mohana) ( 32-17)+9 = 24.

∴, Mohana’s positon
from the right = 24

**8.**In a row of students, P is 18

^{th}from the left end and R is 20

^{th}from the right end.Q, who is 4

^{th}to the right of P, is 5

^{th}to the left of R in the row. How many students are there in the row?

**Answer:**

Given that, P is 18

^{th}from the left, then there are 17 students to the left P. R is 20

^{th}from the right, then there are 19 students to the right of R. Also Q lies between P and Q such that 3 students between P and Q, and 4 students between Q and R.

So
number of boys in the row = (15+1+3+1+4+1+19)=44

**9.**In a class of 120, where girls are four times that of boys, Ravi ranked 34^{th}from the top.If there are 18 girls ahead of Ravi , how many boys are after him in rank ?**Answer :**Let the number of boys be x.

Then
number of girls =4x

Total
students = (x+4x) =120 =>x=24.

So
number of boys = 24. Then number of
girls= 96

Number of students behind Ravi in rank
=(120-34)=86.

Number
of girls ahead of Ravi in rank = (96-18)=78

∴, number of boys
behind Ravi in rank =(86-78)=8

**10.**In a row of boys ,Ravi occupies the 10^{th}place from the right end and Srinivas occupies 11^{th}place from the left end.If they interchange their places , then Ravi occupies 8^{th}place from the right and Srinivas occupies 18^{th}place from the left end.How many boys are there in the row ?
Answer
: Since Ravi and Srinivas exchanage
places , so Ravi’s new place is same as Srinivas’s earlier position. This position is 18

^{th}from the right end and 11^{th}from the left end.
∴, number of boys in the row =(17+1+10)
=28