Tips and Ticks Average calculation


Tips and Ticks Average calculation

N = the number of terms 

S = the sum of the numbers in the set.

Average = S/N


For example

The marks of a student in five subjects are 96, 94, 92, 87, and 81, then what is the average score of the student?

N = 5

S = 96 + 94 + 92 + 87 + 81 = 450

A = 450/5 = 90.


Another type questions

1). There are 36 boys and 44 girls in a class. The average score of boys is 40 and girls are 35. Then what will be the average mark?


Total mark of 36 boys = 36 x 40 = 1440

Total mark of 44 girls = 35 x 44 = 1540

Total mark of 80 Students = 1440 + 1540 = 2980 

Average mark of the class = (2980 / 80)

                                          = 37.25


2). The average weight of 15 members in a football team is 24 kg when a new member included, the average weight increases by 2. What is the weight of the new member?


Total weight of 15 member = 24 x 15 = 360 

Average after including a new member = 24 + 2 = 26 

Total weight of 16 member = 26 x 16 = 416 

Weight of the new member = Total weight of 16 member - Total weight of 15 member

    = 416 - 360

    = 56.

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Handshake Problem

Suppose there are n people in the party. The first person shakes hand with the other (n-1) guests. The second guest shakes hand with the other (n-2) guests. this will continue until the (n-1) th guest shakes hand with the nth guest.

Total number of handshakes is (n-1) + (n-2).. + 3 + 2 + 1. .

= ((n-1)(n))/2 .

For example, 6 people in a party shake hand with other guests. So how many handshakes will be there?.

=((6-1)(6))/2.

=15.

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Combinations and Permutations

Permutation and combination related questions are common in PSC and Bank exams.

Before going to Combinations and Permutations, first lean about factorial. .

If  n  is a positive integer then, factorial of n is denoted as n! . .


4! = (1 x 2 x 3 x 4 ) = 24.


Permutations are for lists of items, whose order matters and combinations are for group of items where order doesn’t matter. in other words, .

When the order of items doesn\\\'t matter, it is called as Combination.
When the order of items does matter it is called as Permutation.


The number of permutations of n objects taken r at a time is determined by using this formula:.

C(n,r)=n!/((n−r)!r!) .

Combination : Picking a team of 3 people from a football coaching group of 10. C(10,3) = 10!(3!(10−3)!) = 120. ....

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Trick to Remember Mughal Emperors

Code -“BHAJI SABJI FOR MAASAAB”.

B : Babur.

H : Humayun.

A : Akbar.

JI : Jahangir.

S : Shah jahan.

A : Aurangazeb.

B : Bahadur shah.

JI : Jahandar shah.

For : Farrukhsiyar.

M : Muhammad Shah.

A : Ahmad Shah.

A : Alamgir II.

SA : Shah Alam II.

A : Akbar II.

B : Bahadur Shah Zafar.

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