# Ranking and Miscellaneous for all Competitive Exams

#### KEY POINTS

In many exams now day ranking questions are invariably asked. With a quick grasp of the basics such questions are easy to answer.

#### TIPS FOR SOLVING RANKING QUESTIONS:

Where position of the same person is given from both ends: We will take an Example: Babu is sitting 9th from the left end and 19th from the right end. How many persons are sitting in the row?
(Position from left + Position from Right) – 1 = (9 + 19) – 1 = 27

Where positions of two persons are interchanged: Some questions deal with interchanging of the positions of two persons: Sriram is sitting 13th from the left end and Ragul is sitting 7th from the right end. When their positions are interchanged, Ragul becomes 19th from the right end. How many persons are sitting in that row?

Look for the person whose position is given after interchange. Here, Ragul’s position is given after interchange. Ragul is occupying Sriram’s position which is already given as 13th from left end. Now we also know that Ragul is 19th from the right end. We know the position of the same person from both ends. Hence answer is:
(Position from left + Position from Right) – 1 = (13 + 19) – 1 = 31

Where the position of the third person is given: Let us take an example: Mani is sitting 13th from left end and Sathish is sitting 17th from the right end. Divya is sitting 9th from right of Mani and 4th from left of Sathish. How many persons are sitting in the row?

Answer: These types of questions are answered easily by drawing a diagram as below:
Total no of persons in the row = 12 +M + 8 + D + 3 + S + 16 = 50. Please note that if position of M is 13th from the left, there are 12 persons sitting before M. Using the same logic the entire diagram can be drawn.

### ORDERING:

Where comparative positions are given like higher, lower, more etc.: In some problems it is stated that A got more marks than B but less marks than C and D. In such cases we can draw a vertical diagram as below to solve the problem easily:

For Example:

S runs faster than B but not as fast as D. A's runs slower than B. C runs faster than D. Who is the fastest?
This can be marked in the vertical diagram easily

### DIGITS SERIES:

Direction (1 - 3): The following questions are based on the five three digit numbers given below:
574         658         821         945         247
1. If one is added to the last digit of each of the numbers, in how many numbers thus formed will the last digit be a perfect square (1 is also be a perfect square)?
a) One b) Two                  c) Three               d) Four e) None of these
2. If 1 is subtracted from the 1st digit for each number then how many numbers thus formed will be divisible by three?
a) None                b) One                  c) Two                   d) Three               e) Four
3. If in each number, all the three digits are arranged in ascending order within the number which of the following will be the highest number?
a) 574                    b) 658                    c) 821                    d) 945                    e) 247

Solutions 1:
574         658         821         945         247
One is added to the last digit of each of the numbers
575         659         822         946         248
The second number of 659 and last digit of that number is perfect square is 9.
Only one perfect square is occurred in after rearrangements.

Solutions 2:
574         658         821         945         247
One is subtracted from the 1st digit for each number
474         558         721         845         147
There three pairs of numbers are divided by 3.

Solutions 3:

574         658         821         945         247
The entire three digits are arranged in ascending order within the number.
457         568         128         459         247
The highest number is 568 that’s original numbers are there in the options, so answer is 658.

### ALPHA NUMERIC SERIES:

Direction (1 - 3): Study the following arrangements carefully and answer the question given below:
3 4 2 6 8 7 © 5 4 * 3 2 9 \$ 1 6 5 3 7 # 9 8 6 @ 2 1 4 3 ¥ 9 8 7 2 & 4 3
1. How many 2’s are there in the above arrangement, each of which is immediately followed by a perfect square? (1 is also a perfect square)
a) None                b) One                  c) Two                   d) Three               e) More than three
2. Which of the following is 5th to the right of 18th from the left end of the above arrangement?
a) \$                         b) 9                        c) 2                         d) @                      e) 6
3. How many symbols are there in the above arrangement each of which is immediately preceded as well as followed by even number in the above arrangement?
a) None                b) One c) Two                   d) Three               e) More than three

Solutions 1:
3 4 2 6 8 7 © 5 4 * 3 2 9 \$ 1 6 5 3 7 # 9 8 6 @ 2 1 4 3 ¥ 9 8 7 2 & 4 3
How many 2’s with pairs of immediately followed means immediate next, that numbers are perfect squares.
3 4 2 6 8 7 © 5 4 * 3 2 9 \$ 1 6 5 3 7 # 9 8 6 @ 2 1 4 3 ¥ 9 8 7 2 & 4 3
Only two pairs are highlighted.

Solutions 2:
Shortcut to remember
Left, Left is given difference between two left and then find left end positions.
Right, Right is given difference between two rights and then find right end positions.
Left and Right is given both are added and which end is given find that positions.
The above question is given right and left, so both are added and to find the left end positions.
5 + 18 = 23rd positions from left end.
23rd positions from left end are 6.

Solutions 3:
We can choose symbols pairs and immediately preceded even numbers that mean before symbols and immediately followed even numbers that means next to the symbols.
3 4 2 6 8 7 © 5 4 * 3 2 9 \$ 1 6 5 3 7 # 9 8 6 @ 2 1 4 3 ¥ 9 8 7 2 & 4 3

### MISCELLANEOUS:

1. How many such pairs of letters are there in the word ‘BANK’ each of which has as many letters between them in the word (in both forward and backward direction) as they have between them in English alphabetical series?
a) None                b) One c) Two                   d) Three               e) None of these
Solutions 1:

How many such pairs of letters, in both forward and backward direction in given words.

Forward directions are no such letter pairs.
Only one pairs of letter are backward directions is AB.

2. If the letter of the word ‘HANDOVER’ are arranged alphabetically from left to right. How many letters will remain at the same position?
a) None                b) One c) Two                   d) Three               e) More than three
Solutions 2:

#### HANDOVER

That number are Arranged in alphabetically from left to right.
H A N D O V E R

A D E H N O R V
No letters will remain at the same positions.