[Official] Quant Thread for 2015!


Let f(x)=[x] and g(x)=x+[x] then find the number of solutions of 4(x-f(x))=g(x)

Solve the equation in [0,pi] 
[cosx +sinx]=[cosx ]+[sinx] where [y] is the greatest integer less than or equal to y.

The minimum value of 
27^cosx +81^sinx

X/(2a+b) = y/(2b+c) = z/(2c+a) =8 and x/2a= y/ 2b= z/2c = k 

where a+b+c is not 0, then k = .........

a) 12

b) 16

c) 4

d) 18

try this:: if a,b,c,d r +ve nos. which satisfy a+2b+3c+4d=36....then find max possible value  of a*b^2*c*d^2...

if a is sum of factorial of 1st 8 whole nos.,find the rem when 5^s is divided by 13?

In how many ways can 60 identical balls be distributed among A B and C such that A gets more than B and B gets more than C?

A) 1800

B) 1891

C) 300

D) 330

Any Idea about BYJU classes or TABLET classes ??

A biker uses 12% of fuel to cover 18% of his total journey for non city driving conditions.He knows that another 24% of his total journey  has to be covered in non city driving conditions.What should be the % decrease in his fuel efficiency(city over non city), in order to complete journey without refill?

1)20   2)30 3)60  4)46....

If one starts newly for cat 2015, can someone please list the quant topics to be prepared realizing the priority based on the historical weightage of those topics in CAT?  Any additional tips are totally welcomed!! 😃

If A is the sum of the squares of the first n natural numbers (where n is less than 100), then for how many values of n will A be divisible by 5?


(a) 40

(b) 60

(c) 59

(d) 39 

If one of roots of the equation px^2+qx+r = 0 is less than -2 and the other is greater than 2, where p>0, then which of the following relations is always true?

(a) 4p + 2|q| + r = 0.

(b) 4p + 2|q| + r > 0.

(c) (4p + 2|q| + r ) less than 0.

Please suggest the solution(s)!

How many 3 digit numbers are there in the decimal system which have exactly 3 digits when expressed in both Base 7 and Base 13? (a) 169 (b) 243 (c) 173 (d) 174

half of the volume of milk and water mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by the substitution method. the mixture of ratio 7:5 was formed from the mixture 7:3 by adding water in it. if 240 L milk is req in the substitution method, what is the total amount of water added to prepare the mixture of 7:5? 1ooL,400L,50L or 200L

The total number of garlands that can be formed using 3 flowers of 1st kind and 12 flowers of the 2nd kind , is 19K , then K = ___ ?

2^2014/2014??

Try this::if p is a set of prime nos. less than 100,then what will be max common diff of and a.p. formed by four nos. selected from set p??

TIME vs BullsEye institute for MBA coaching, which one is better; the focus being on Verbal Ability section?

can some one to me how ratios are compared? say 28/435 and 17/387? using % change in numerator and denominator?

Set S is formed by selecting some of the numbers from the first 110 natural numbers such that the HCF of any two numbers in the set is the same. If every pair of numbers of set S has to be relatively prime and set S has the maximum number of elements possible, then in how ways can the set S be selected?