[Official] Quant Thread for 2015!

A string of certain length is cut at random at two points. Find the probability that the three pieces that result can be the three sides of a triangle.   

Please explain the detailed solution, not able to understand 😞

http://i.imgur.com/cAlJYI7.jpg?1

Set S consists of the following numbers {1, 2, 3, 6, 9, 10, 14, 15}

How many harmonic progressions of 3 terms can be formed using the terms present in the set? How many more natural numbers (lying between the minimum and maximum values already given in the set) can be inserted in this set so as to form more H.P.s having three terms, two of which are already present in the set?
OPTIONS

1) 2, 2
2) 2, 1
3) 1, 0
4) None of the above

Don't have the OA.

I am getting 1,1 as the answer. Is anybody getting anything else?

Two packs with 52 playing cards are shuffled together. Find the number of ways in which a man can be dealt 26 cards so that he doesn't get two cards of the same suit and same denomination.
APPROACH please

There is an isoceles triangle with lengths 4, 4 and 4root2. Find the minimum length of a line that would divide this triangle in 2 equal areas.

@sagarcat and @scrabbler 

PS- CL question.

The integers 39276 and 38304 leave the same remainder when divided by a three-digit natural number N. How many possible values can N assume? (a) 8 (b) 7 (c) 6 (d) 5

A retailer bought 3850 Linc pens and 1848 cello pens with same price. He sells the linc pens in such a way that he can buy 650 of them on selling 481 Linc pens. But he can buy only 408 cello pens with the sale price of 629 cello pens. What's the overall profit %

The no. of Non-negative solutions to the system of equations x1+x2+x3+x4=35 & x1+x2=25 is ???

Solve:  a,b,c,d  have 5 different chocolates to distribute among themselves.In how many ways can the distribution be done if each has to get at least one chocolate.

Find the no. Of consecutive zeros in 1!*2!*3!*4!*5!*....*50!

@ time and work


A garrison of 1500 men is provisioned for 60 days. After 25 days, the garrison is reinforced by 500 men. How long will the remaining provisions last?

1) 24 days 2) 21.75 days 3) 26.25 days 4) 52 days 5) None of these

If the ratio of the length of two trains is 2:3 and the ratio of the times taken by them to cross each other when travelling in the same direction and in opposite direction is 4:1. The ratio of the speed of the faster train to the slower train is ?????

n how many ways can 4 letters be selected from the letters of the word ADDRESSEE?

(A) 126

(B) 28

(C) 30

(D) 120

(C) is correct.

The population grows at a simple rate of 10% in a decade and compounds from decade to decade. Find the population at the beginning of 1970 if the population at the beginning of 1990 is 363000. 

please explain


A can do a piece of work in 24 days and B in 30 days. A worked for 6 days and then B also joined him. In how many days will the whole work be completed?

plz explain

statement- All glasses are roads

                    No road is stick

                   Some sticks are pens

 conclusion- Some glasses are sticks

                      Some pens are sticks

                     Some roads are sticks

                     No glass is stick

options-     none follows

                 Only 1 or 4 and 2 follow

                 Only either 1 or 2 and 4 follows

                 None of these

http://i.imgur.com/YQB2Ix6.jpg
42      24         64        CBD

if a^2-b^2=132, how many integral values can (a,b) take?

http://i.imgur.com/UjAyPHY.jpg

http://i.imgur.com/7f1mTUb.jpg