औसत: Maths Average Questions Short Tricks In Hindi शॉर्ट ट्रिक्स | 100% score

```औसत शॉर्ट ट्रिक्स
Average Questions Short Tricks
Solve Average Problems Quickly and Easily```

average questions

average questions for competitive exams

Maths Average Problems Short Tricks | Average Questions Short Tricks औसत शॉर्ट ट्रिक्स

In this article we share some most important and useful definitions, types and short tricks of average problems in Hindi and English language. Before start short tricks remember definitions of each term after that learn short tricks very carefully.  After learn these you will able to solve age based questions which asked in various competitive exam. The article also contain some most important questions which is frequently asked in exam.

Average (औसत) :-

Sums of data divided by the number of items in the data will give the mean average. The mean average is used quite regularly to determine final math marks over a term or semester. Averages are often used in sports: batting averages which means number of hits to number of times at bat. Gas mileage is determined by using averages.

Average = Sum of Amounts / Number of amounts

Formulas:

1. Average of first natural numbers                        =    (n+1) / 2
2. Average of square of first natural numbers        =    (n+1) (2n+1) / 6
3.  Average of cube of first natural numbers          =     n(n+1) / 4

Type and Average short Tricks 1:- Average Questions Short Tricks

If A,B,C,D and E are five sum, then there average will be (A+4) or (E-4)
similarly if there is six subsequently , then there average will be (A+5) or (E-5).

Example :The average of five subsequently numbers A,B,C,D and E is 21. then find the mean of E.

Most Important Questions (Asked in Exam): average questions for competitive exams

Type and Average short Tricks 2:-
The age of n peoples increase or decrease by X years. When a person whose age is Y years is replaced by another person, then age of that new person =  (Y + nX) years or (Y – nX) years.

Example :- The average weight of 6 persons increased by 1 kg. When a person whose weight is 45 kg is replaced by a new person. Find the weight of new person.

Type and Average short Tricks 3:-

The age of n peoples increase or decrease by X years. When two person whose age is Y years and Z years are replaced by other persons, then average age of new persons =  (Y +Z- nX)/2 years or (Y +Z+ nX)/2 years

Example :- In the group of 8 persons , two persons whose age is 25 years and 35 years are replaced by two other ladies, due to which the average age of group is increased by 1.5 years. find the average age of that two ladies.

>> Maths Short Tricks in Hindi  <<

Type and Average short Tricks 4:- average questions for competitive exams

If average age of n people is X years , from that m peoples whose average age is Y years leave and new people come in there place whose average is Z years , then now average age of n people:-
= X – [{m(Y-Z)} / n] years

Example :- In a class there are 40 students those average height is 145 cm. 8 students whose average height is 142 cm leave the class and other 8 students come in there place whose average height is 147 cm. now find the average height of the class.

Type and Average short Tricks 5:-

If from n numbers, average of first (n-1) numbers is X and average of last (n-1) numbers is Y, then:-
First number – Last number = (n-1)(X-Y)

Example :- From 4 numbers, average of first 3 numbers is 15 and average of last 3 numbers is 16. If last number is 19, then what will be the first number?

Type and Average short Tricks 6:-

If average of n results is X and from that average of first m results is Y and last m numbers is Z , then :-

1. m th result      =    m(Y+Z) – nX
2. (m+1) result   =    nX – m(Y+Z)

Example :- Average of 13 results is 42. If average of first 7 results is 44 and last 7 numbers is 43 , then what will be the 7th result?

Type and Average short Tricks 7:-

If any two things travels with 2 different speed X km/hour and Y km/hour and they travels 2 same distance , then average speed for hole travel = 2XY / (X+Y) km/hour

Example :- A ship travels with 10 km/hour speed to a particular distance and returns with 15 km/hour speed. Find the average speed of hole distance.

Type and Average short Tricks 8:-

If average age of G1 persons is A1 and average age of G2 persons is A2 and a=G2 and difference of G2 and b=A1 and difference of A2, then by the epl of figure:-

Case 1.   If (G1>G2 and A1>A2) or (G1<G2 and A1<A2), then average age of a persons:-
= {(G1 x b) + (a x A2)} / a    years
Case 2.   If (G1>G2 and A1<A2) or (G1<G2 and A1>A2), then average age of a persons:-
= {(G1 x b and a x difference of A2) / a}    years
Example :- In a class average age of 40 students is 15 years. 0.2 years increased due to entry of two new students. Find the average age of new students.

Type and Average short Tricks 9:-

If average age of G1 persons is A1 , average age of G2 persons is A2 and average age of (G1+G2) is A, then:-
G1 / (A-A2) = G2 / (A1-A)          or            G1 (A1-A) = G2 (A-A2)

Example :- In a workshop average salary of all employs is 950 rs. If average salary of 15 employs is 5250 rs and average salary of other employs is 850 rs, then Find the number of other employs.

Type and Average short Tricks 10:-

If out of three numbers, first number is n1 times of second number and second number is n2 times of third number, then:-

Example :- Average of three numbers is 49. If first number is twice of second number and second number is twice of third number, then find the difference between smallest and biggest number.