Number Systems, Progressions

A geometric progression consist of 500 terms. Sum of the terms occupying the odd places is P1 and the sum of the terms occupying the even places is P2.Find the common ration.

1) p2/p1

2. p1/p2

3. p2 + p1/p1

4 p2 + p1/p2

Answer with explaination requird please.

if a be the arithmatic mean and b,c be the two geometric mean between any tow positive numbers then (b^3 + c^3)/ abc =2a

How please explain me this.


if p,q,r are three consecutives distinct natural numbers then th expression (q + r - p)(P + r - q) (p+q-r) is 

1) postive 2) negative 3) Non positive 4) Non negative e) either c or d

Please explain clearly with answer.


139 persons have signed for an elimination tournament.All players are to be paired for the first round but because 139 is an odd number ,one player gets a bye, which promotes him to to the second round,without playing in the first round.This continues in subsequent rounds as well.Find the minimum number of matches that must be played to determine the champion.



Let x 1. Given a set of numbers, the middle number, when they arranged in ascending order, is called the median. So the median of the .number x,y,z is between 0 and 1. how explain


W1,W2,W3,W4,W5,W6,W7 are 7 positive integral values such that by attaching the coefficients of +1,0 and -1 to each value available and adding the resultant values, any number from 1 to 1093(both included) could be formed. If W1,W2,... W7 are in ascending order, then what is the value of W3?


how many 4 digit number are divisible by 5 but not by 25


find the sum of the first 125 terms of the sequence 1,2,1,3,2,1,4,3,2,1.....



find the unit digit of lcm of 13^501-1 and 13^501+1. Give answer with solution. Only answer not needed

find last two digits of 37^11 . share approach plz.

At the farewell party of a certain class, having n students, if each student of the class gave one gift each to exactly k other students of the class, the number of students in the class who received at least one gift each cannot be less than

For how many values of natural number n

which is more likely to happen? rolling at least one 'six' in four throws of a single die or rolling at least one 'double six' in 24 throws of a pair of dice? pls show solutions.:)

Find the number of numbers between 200 and 300, both included, which are not divisible by 2, 3, 4 and 5. (a) 27 (b) 26 (c) 25 (d) 28 (e) None of these

Find the remainder when the 100-digit numbers formed by writing the consecutive natural numbers starting from 1 next to each other is divided by 16 a. 6 b. 8 c. 9 d. 10 pls help me I need answer with explanation

I need answer with explanation...

 of 64 boxes of apricots, each box contains at least 60 and at most 81 apricots. no more than three boxes have the same # of apricots. what is the least number of apricots that can be there in all the boxes together?