[Official] Quant Thread for 2015!

Find the remainder (25^26^27) / 9

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I need a good source for inequalities and modulus. Pls suggest. Thanks in advance 

http://i.imgur.com/m56UlPw.jpg

The solution for inequality is

x^2-7x+10/x^2+6x-40 is. ?

OA is (-10,50/13) U(4,infinity)

Pls give the approach

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

http://i.imgur.com/70DuqSM.jpg

http://i.imgur.com/c9MCC1G.jpg

http://i.imgur.com/tQ0T2Uh.jpg

How many subsets of {1, 2, 3, ... 11}contain at least one even integer?

A. 1900 B. 1964 C. 1984 D. 2048

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A new coach was appointed for a football team, in the middle of a season.After the new coach took over, the team won 600/7% of the 35 matches that it played.However, the overall success rate of the team for the entire season was only 50%.what could be the minimum number of matches the team played that season before the new coach took over.?

If five distinct no.s are randomly selected from  among the first 400 natural numbers and written on a paper, what is the probability that the 1st three no.s are in descending order and the last three no.s are in ascending order. ????

in a survey it was found that 40% like tea, 50% like coffee and 60% like milk. Every person likes at least one of the three items tea/coffee/milk. What are the maximum and minimum possible values of those who like all three?

approach plz .

Ajay, Vijay and Dhananjay purchased 1, 10 and 25 notebooks for Rs.14, Rs.130 and Rs.300, respectively, from a stationery shop. In his transaction with Ajay and Dhananjay, the shopkeeper made a profit of p% and q% respectively, where p = 2q. If the shopkeeper bought all the notebooks that he sold to the three persons at the same price, how much profit (in term of percentage) did the shopkeeper make in his transaction with Vijay?

In a dairy, milk is processed to produce 'Pure Ghee' and 'SNF'. When one kg milk is processed, the amount of 'Pure Ghee' and 'SNF' produced is 50 gm and 80 gm respectively. Pure Ghee and SNF are sold at Rs. 120/kg and Rs. 200/kg respectively. If the cost of processing of milk is Rs. 6/kg and the fixed cost of running the dairy for a day is Rs. 300, then which of the following can be a set of respective values of the quantity (in kg) of milk processed per day and the cost (in Rs./kg) of milk in order to make a profit of 10%?


a.120, 12
b  120, 10
c  150, 15
d  150, 12

If 100 ≤ n ≤ 1300, how many even values of n are neither divisible by 7 nor 9?

a.b.c = 210 . what is the number of positive integral solutions ? approach..?

There are three types of chocolates - A, B and C. A costs Rs. 5 per unit, B costs Rs. 7 per unit and C costs Rs. 13 per unit. A packet containing 15 chocolates, out of the three types of chocolates, is to be formed such that it contains at least two chocolates of each type. If the worth of the chocolates in the packet lies between Rs. 125 and Rs. 131, what can be the maximum number of type B chocolates in the packet?

Ratio of speeds of A and B is 2:3. If both are walking down a descending escalator, A takes 25 steps and B takes 30 steps to reach the bottom landing platform. If A starts his ascent and B starts his descent on a stationary escalator then how many steps will B take to meet A? (Assume the average length of their step is same.)

If f(x) = |x+1|+2+|x+2|+3+|x+3|, what is the least value of f(x)?