### IBPS/SBI PO BANKING STUDY MATERIAL ON AVERAGE SHORT CUT METHODS

QUANTITATIVE APTITUDE   (AVERAGE)   SHORTCUT METHOD
Rule 1:
If different distance is travelled in different time then
AV. SPEED= TOTAL DISTANCE COVERED / TOTAL TIME TAKE
Rule 2:
If equal distance is travelled at different speed.
If equal distance is travelled at the speed of A and B then,
AV. SPEED= (2AB) / (A+B)
Rule 3:
If equal distance is travelled at the speed of A, B and C then,
AV. SPEED= (3ABC) / (A+B+C)
When a person leaves the group and another person joins the group in place of that person then,
Rule 1:
If the average age is increased,
Age of new person = Age of separated person + (Increase in average × total number of persons)
Rule 2:
If the average age is decreased,
Age of new person = Age of separated person - (Decrease in average × total number of persons)
Rule 3:
New average age of group = {(PRE. AV. * NO OF PERSONS) - AGE OF LIVING PERSON + AGE OF JOINING PERSON} / NO. OF PERSONS
When a person joines the group.
Rule 1:
In case of increase in average
Age of new member = Previous average + ( Increase in average × Number of members including new member)
Rule 2:
In case of decrease in average
Age of new member = Previous average - ( Decrease in average × Number of members including new member)
Rule 3:
New average of group = {(PRE. AV * NO OF PERSON EXCLUDING NEW PERSON) + AGE OF NEW MEMBER} / NO. OF MEMBERS INCLUDING NEW MEMBER
When a person leaves the group
Rule 1:
In case of increase in average
Age of leaving member = Previous average - ( Increase in average × Number of members excluding leaving member)
Rule 2:
In case of decrease in average
Age of leaving member = Previous average + ( Decrease in average × Number of members excluding leaving member)
Rule 3:
New average of group ={ (PRE. AV * NO. OF PERSONS WITH LEAVING PERSON) - AGE OF LEAVING MEMBER} / NO. OF MEMBERS EXCLUDING LEAVING MEMBER
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