Handshake Problem
Handshake ProblemSuppose 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.
Formula : .
Train Speed = Distance / Time.
Points to Remember .
To change km/hr into m/sec, we need to multiply it by 5 / 18. .
Example:.
90 km/hr means.
90 x 5 / 18.
= (5 x 5 ).
= 25 m/sec.
And if we need to convert m/sec into km/hr, we multiply it by 18 / 5.
Example:.
90 m/sec means.
90 x 18 / 5.
= ( 18 x 18 ).
= 324 km/hr.
Time taken by a train of length l meters to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l meters.
Time taken by a train of length l meters to pass a stationary object of length b meters is the time taken by the train to cover (l + b) meters.
Suppose two trains or two objects bodies are mo...
Profit and loss is the one of major question section in Competitive exams. These formulas will be helpful for your upcoming Exams like PSC, SSC, IBPS and Other Competitive Exams. .
Cost Price(CP) : The Price at which a particular item purchased, is called its Cost Price.
Selling Price (SP): The price at which a particular item is sold, called its Selling Price.
Profit: If Selling Price of an item is more than Cost Price , then vendor is said to have a Profit.
Loss: if Selling Price of an item is less than Cost Price, the vendor said to have a Loss.
Formulas Profit = SP – CP.
Profit % = Profit/(CP)×100.
SP = ((100+Profit% )/100)×CP.
CP = (100/(100+Profit%))×SP.
Loss = CP – SP.
Loss% = Loss/(CP)×100.
SP = ((100-loss%)/100)×CP.
CP = (100/(100-loss%))×SP.
...
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. ....
















