[Official] Quant Thread for 2015!

every digit of a number n is equal to 1 :ie n =1111.....Given that every digit of X =an^2+bn+c is also 1 ,for any value of n (a,b,c are constant integers and a>0 then b  equals to?

what is the largest positive integer n for which n^3 + 100 is divisible by n+10?

Let M and N be single digit natural numbers. If the product 2M5*13N is divisible by 36,How many such pairs(M,N) will exist


Find the unit digit of 6^11^7/10

Can anyone tell me which online cat prep is worthwhile . CL, TIME or hitbullseye ? Are those study materials good enough? I really don't have time to join proper coaching :/

why imaginary root exists in pairs ??

Can anyone suggest which college will be better for IT consultant and HR? (incl and excl iim) I mean top colleges...

There is a 6 x 6 chessboard and a king is placed on the bottom left corner square.In how many ways can the king reach bottom right corner in exactly 5 moves?

#Remainders

1.A 51-digit number N consists of fifty x's and one y, where x and y are both digits from among 0 to 9. 

1. If x = 2, N is divisible by 17 and y is the 17th digit from the right,

y =

(1) 1 (2) 2 (3) 3 (4) 0

2.A 51-digit number N consists of fifty x's and one y, where x and y are both digits from among 0 to 9. 
2. If N is divisible by 13, x = 3 and y is the i th digit from the left, then i could be
(1) 24 (2) 8 (3) 42 (4) 34 (5) None of these

f(x)=max(2x +10, x^2+4x -10). find the minimum value of f(x)?

A 10 digit natural number N is such that the first digit of the number (from the left) corresponds to the total no of 1's in that number, the 2nd digit corresponds to the total no of 2's in that number ... so on.. and the 10th digit corresponds to the total no of 0's in that number. The sum of all the digits in that number is: @UTTAM_NARAYAN @srishti.jhanwar @placiddisciple @amodanand06 

in how many ways a+b=300 where a and b are natural numbers and co prime to each other @placiddisciple @UTTAM_NARAYAN 

In how many ways 300 can be written as product of 2 numbers which are coprime to each other @placiddisciple @UTTAM_NARAYAN ... i know the formula but want to know the logic

yar koi syllogism k liye material ya koi video share kr do please... syllogism through venn diagrams..kisi k pass h too pls share

yar ye kaun c theorem ki (n^p - n) is div by p when p is prime??explain please @placiddisciple 

A shopkeeper sells a badminton racket whose marked price is rs30 at a discount of 15% and gives a cock worth rs1.5 free with each racket. Even then he makes a profit of 20%. CP per racket is?

a)19.75 b)20 c) 21

how many terms will be there in (1 + x+ x^3)^6 @placiddisciple @srishti.jhanwar @UTTAM_NARAYAN 

Trader buys a chair for rs 600 and sells it for rs 765 at a credit of 4 months. Reckoning money worth 6%pa, his gain percent is:

a)20% b)22 1/2% c)25% d)271/2%

Shalini is preparing a surprise present for his parents. Inside a large box, she keeps 15 smaller boxes of the same size. Each of these smaller boxes, she either leaves it empty or fills it with 15 more boxes of the same size. One of these smallest boxes contains the surprise present for her parents. If there are seven boxes in all that have boxes inside them, how many boxes in total are empty? 


Assume that the trains between TGland and Dhobighaat leave each city every hour on the hour. It takes exactly six hours for the trains to travel from one city to another. On its run from TGland to Dhobighaat, a train will meet N trains going in the opposite direction. What is the value of N?