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## There were 105 handshakes. How many persons were there in party.

Practice Races and Games – There were 105 handshakes. How many persons were there in party.

## A tennis ball is initially dropped from a height of 180 m. After striking the gr

Practice progressions – A tennis ball is initially dropped from a height of 180 m. After striking the ground, it rebounds (3/5)th of the height from which it has fallen. The total distance that the ball travels before it comes to rest is

## In a certain examination paper, there are n questions. For j = 1,2 …n, there a

Practice progressions – In a certain examination paper, there are n questions. For j = 1,2 …n, there are (2^{n-j} )students who answered j or more questions wrongly. If the total number of wrong answers is 4095, then the value of n is

## What will be the value of x(1/2).x(1/4).x(1/8).

Practice progressions – What will be the value of x(1/2).x(1/4).x(1/8)…. to infinity?

## If x increases linearly, how will a-x behave (a>1) ?

Practice progressions – If x increases linearly, how will a-x behave (a>1) ?

## If a1 = 1 and an+1 = 2an + 5, n=1, 2……. then a100 is equal to

Practice progressions – If a1 = 1 and an+1 = 2an + 5, n=1, 2……. then a100 is equal to

## The marks scored in History by P,Q,R and S form a geometric progression in that

Practice progressions – The marks scored in History by P,Q,R and S form a geometric progression in that order. If the marks scored by R were (275/9)% less than the sum of the marks scored by Pand Q, then marks scored by S were what percent more than the marks scored by Q? (Assume that everyone scored positive marks).

## If m times the mth series of an A.P. is equal to n times its nth series, what is

Practice progressions – If m times the mth series of an A.P. is equal to n times its nth series, what is the (m+n)th term of the A.P. ?

## A man arranges to pay off a debt of Rs 3600 by 40 annual installments which are

Practice progressions – A man arranges to pay off a debt of Rs 3600 by 40 annual installments which are in A.P. When 30 of the installments are paid he dies leaving one-third of the debt unpaid.p>The value of the 8th installment is:

## A club consists of members whose ages are in A.P. The common difference being 3

Practice progressions – A club consists of members whose ages are in A.P. The common difference being 3 months. If the youngest member of the club is just 7 years old and the sum of the ages of all the members is 250, then number of members in the club are :-