1) This document discusses verbal reasoning questions involving ranks and ordering of people from different perspectives such as left, right, top, and bottom. 2) Shortcut formulas are provided to calculate the total number of people in a row/horizontal or vertical list based on the ranks of one or two people from different sides. 3) Examples are provided to demonstrate how to use the shortcut formulas to find the total number of people or ranks of people when positions are changed or interchanged.

1. VERBAL REASONING
ORDER AND
RANKING

2. • the ranks of a person from both
sides, left or right
• or from top to bottom, are
mentioned
• and total number of persons are• and total number of persons are
asked.
• questions are also based on their
interchanged positions.

3. •Example : A class of boys is
standing in a single line.
RAJU is thirteenth from
the left-hand side as wellthe left-hand side as well
as from the right-hand
side. How many boys are
there in the class?

4. • BY USING LOGIC
• ------------------- ---RAJU----- - -- ----------------------
• ---left -----------------13-----------------right --------
• 12 1 12
• TOTAL = 12 + 12 + RAJU == 25 (ANS)

5. •THE SAME LOGIC
USED FOR THE
HORIZONTAL LINEHORIZONTAL LINE
CAN BE USED FOR
VERTICAL LINE

6. SHORTCUT FORMULA
• 13 +13 -1 = 25 (ANS)
• LEFT + RIGHT - 1• LEFT + RIGHT - 1
• TOP + BOTTOM - 1

7. •Total number of
persons = R1 + R2 – 1
•SHORTCUT FORMULA•SHORTCUT FORMULA

8. • BY SHORTCUT FORMULA
• Total number of persons in a
ROW/HORIZONTAL
• (Rank of a person from left
end) + (Rank of that personend) + (Rank of that person
right end) – 1
• ------------------ROW----------------------------

9. FORMULA TO LEARN BETTER
•R(l) - R(r) = total
in row /horizontalin row /horizontal

10. • BY SHORTCUT FORMULA
• Total number of persons in a
CLASS/VERTICAL =
• (Rank of a person from TOP
END ) + (Rank of that personEND ) + (Rank of that person
from LOWER END ) – 1

11. FORMULA TO LEARN BETTER
•R(t) - R(b) = total
in verticalin vertical
list/vertical line

12. •Example : P and Q are
ranked sixth and tenth
respectively from top in a
class of 30 students. What
are their respective ranksare their respective ranks
from the bottom in the
class?

13. • BY SHORTCUT
• RANK OF P = TOTAL MINUS
(-) RANK FROM TOP
• 30 – 6 + 1 = 25• 30 – 6 + 1 = 25
• RANK OF Q = TOTAL MINUS
(-) RANK FROM TOP
• 30 - 10 + 1 = 21

14. •Case 2
• To find the total number of
persons in a row,
• when ranks of two persons• when ranks of two persons
and number of the persons
who are sitting between these
two persons are given.

15. •There are two
cases possible to
find persons infind persons in
between

16. •1) Not overlapping
case: When total number
of students > (left position
of one person+rightof one person+right
position of another
person)

17. • For case 1 ----formula is
• Number of persons between
two persons
• = Total number of persons -• = Total number of persons -
(Sum of positions of two
different persons from both
sides)

18. • Example: In a row of 62
persons. Riya is 24th from the
left side of the row and Raman is
20th form the right side of the
row. Find out the number of
persons sitting between them?
row. Find out the number of
persons sitting between them?
• Solution: No. of Persons between
Riya and Raman = 62 - (24+20)=
62-44 = 18

19. 2) Overlapping case:
When (left position of one
person+ right position of another
person) > Total number ofperson) > Total number of
students

20. • For case 2 ----formula is
• Number of Persons between
two different persons = (Sum
of positions of two differentof positions of two different
persons from both sides) –
(Total no. of Persons) –2

21. Logic to learn the formula
• Left pos =========== 36
• Right pos =========== 29
• Total persons ========= let 62
• 36 + 29 = 65 -----------65 > 62• 36 + 29 = 65 -----------65 > 62
• Hence total persons have to be minus from
the position values

22. • when positions
are interchanged

23. • Example: In a row of girls,
Pratibha is 15th from the left
and Kanika is 23rd from the
right. If they interchange their
positions, then Pratibhapositions, then Pratibha
becomes 18th from the left.
Then at what position will
Kanika be from the right?

24. • Total Number of persons = Sum
of the positions of a person
(same person) from both sides - 1
• Number of persons between two
persons = Difference in thepersons = Difference in the
positions of a person(same
person) whose position from
same side before and after
interchanging is given - 1

26. •Total no of girls in a row =
Left End + Right End - 1
= 18 + 23 – 1 = 40
Kanika’s position from rightKanika’s position from right
end = Total girls – Left end
+ 1
= 40 – 15 + 1 = 26