Ranking shortcut tricks

Below are a few tricks that will help candidates to solve the Ordering and Ranking questions in the exam with ease. Before that candidates must keep in mind a few things before applying these tricks.

__Note:__

- Read the statement line by line and apply the cases as explained below.
- Position can be from either sides of row and rank is always from top or bottom of the row

Now, let's discuss each different case in Rank and Order.

(1). **Find out total no. of persons in a line**

- In this question, the below formula is used. Total no of persons= Left position in the line + Right position in the line-1.
**For Example**: A is 25th from the left and 32nd from the right, find out the total no of persons in the line.- Total no of persons = Left position in the line + Right position in the line-1. Total no of persons = 25 + 32 -1 = 56

(2). **Find the total no of persons if there is a given a difference**

- Total no of persons = person's position from the given side or from the top or bottom + given difference
**For Example**: A's position from the top is 17th and the persons behind A are 7. Find out total no of persons in a raw.- Total no of persons = person's position from the given side or from the top or bottom + given difference. Total no of persons = 17 + 7 = 24

**When total no persons and position of two different persons given from the opposite. Find out no of persons between this two persons.**

- If Total no of persons> total of position of both opposite persons

**Formula**: No of persons between two person's position = Total no of persons - total of both persons of opposite position**For example**: There are 58 persons in a row, in which A is 11th from the left and B is 22nd from the right side of the row. Find out no of people between A and B.- No of persons between two person's position = Total no of persons - total of both persons of opposite position No of persons between two person's position =58 - (11+22)

=25

2. If Total no of persons < total of position of both opposite persons

**Formula**: No of persons between two person's position = Total of both persons of opposite position - total of all persons - 2**For example**: There are 50 persons in a row, in which A is 24th from the left and B is 30nd from the right side of the row. Find out no of people between A and B.- No of persons between two person's position =Total of both persons of opposite position - total of all persons - 2
- No of persons between two person's position = (24+30) - 58 =54-50-2 =2

**If persons interchange their positions in a row and the interchange position of one person given.**

1. Total no of persons in a row = person position before change + person position after change - 1

**For Example**: In a row A is 11st from the left and B is 18th from the right, after interchanging their positions A becomes 29th from the left. Find the total no of persons in a row.- Formula: Total no of persons in a row = person position before change + person position after the change - 1
- Total no of persons in a row = 11 + 29 - 1

= 39

2. No of persons between A and B = person position after change - person position before the change - 1

- Total no of persons in a row = 29 - 11 - 1

= 17

3. New position of the second person after interchange = Position of the second person from right side before interchanging + (Position of the first person from left side after interchanging – Position of A from left side before interchanging)

- New position of the second person after interchange = 22+ (29-11)

= 18 + 18

= 36

Time Shortcut tricks

## Introduction

- A Clock is a circular device provided with three hands viz. an hour hand, minute and second hand. The study of the clock is known as “horology”.

## Structure of a Clock

- A clock is composed of 360 degrees and divided into 12 equal divisions. The angle between the consecutive divisions is obtained by dividing the total angle of clock 360° by the number of divisions i.e. 12.
- The angle between any two consecutive divisions = (360°)/12= 30°
- Angular value of a minute = (30°)/5= 6°

## Speed of the hands

- A clock has three hooks and all three move at different rates. The speed of moving object depends on the distance travelled and the time taken to cover a specific range.
- The speed is calculated by: Speed = Distance/(Time taken)
**The speed of a minute hand**:- A minute hand travels 360° in one hour. i.e. it travels through all the 12 divisions around the clock every hour. (1 hour = 60 minutes). Speed of a minute hand = (360°)/(60 minutes). Speed of a minute hand = 6° per minute.
**The speed of an hour hand:**- An hour hand travels 30° in an hour. i.e. it covers a distance of 5 minutes (the gap between consecutive divisions) in 60 minutes. Speed of an hour hand = (30°)/(60 minutes). Speed of an hour hand =1/2 ° per minute.

**Frequency of coincidence and collision of hands of a clock**

- How many times in a day do the minute and hour hands of a clock coincide (Angle between them is zero) with each other? --- In 12 hours there will be 11 coincidences.
- How many times in a day do the minute and hour hands of clock form a 180° straight line in a day? --- The hands of a clock make 180° straight lines 11 times in 12 hours and hence generalising it for 24 hours, the hands make 22 consecutive lines of 180° in 24 hours.
- To get a
**mirror image**to consider 12 O'clock, which can write 11.60 and subtract the given time from 11.60 to the answer. - To get the
**water image**to consider 6.30 (18.30), which can write as 17.90, and subtract the given time to get the answer.