Official Quant thread for CAT 2013

MBA CAT 2024
18926
@sumit99 said:
If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
50?
18927

hey koi wilson's theorem me hlp karo na

m nt geng it

18928
@sumit99 said:
If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
50%.

MP*0.75 = SP = 1.25*CP. Hence, MP = (5/3)CP.

Find 0.9*MP which comes to be 1.5CP. Hence, 50%
18929
@dream_IIMA

(n-1)! mod n always gives ďťż

1. n-1 if n is prime
2. 0 if n is composite
18930
@dream_IIMA said:
hey koi wilson's theorem me hlp karo nam nt geng it
Its very simple. If n is a prime number then, (n-1)! mod n = -1.

for e.g if (5-1)! mod 5 = 24 mod 5 = 4. can be solved using Wilson's directly as -1 =4.
18931

@Todd approach 16 is correct

18932
@Calvin4ever lik muje 40!/ 41 karna hai toh 40 remdr
bt 38!/41 ??toh
18933

@shinoda correct.

approach?

18934

In the famous Harrods museum, the value of each of a set of gold coins varies as the square of its diameter, if its thickness remains constant and it varies as the thickness if the diameter is const. if the diameter of the two coins are in ratio 4:3. what should be the ratio of their thickness be if the value of the first is 4 times that of the second?

18935
@IIM-A2013 said:
In the famous Harrods museum, the value of each of a set of gold coins varies as the square of its diameter, if its thickness remains constant and it varies as the thickness if the diameter is const. if the diameter of the two coins are in ratio 4:3. what should be the ratio of their thickness be if the value of the first is 4 times that of the second?
9:4?
18936

n-1)! mod n toh remdr n-1

n-2)! mod n toh remdr 1
bt dont knw abt n-3)! nd so on...
18937

@Ani1308 approach?

correct

18938

v =k × d^2 × t -- given


v1 = k × 4^2 × t1
v2= k × 3^2 × t2

as v1 = 4v2
solve them and t1:t2= 9:4
18939

In learning experiment at stanford university it was found that the square of the inverse of learning time varies directly as the age of a rat in weeks, while the inverse of learning time and complexity index of the maze are directly related. If the age of the rat in the second trial of the experiment is 40% more than in the first trial and the learning time is 16.67% less, then find change in complexity index of the maze:-
a. +10%
b. +5%
c. +1%
d. -5%

18940

77777777.....upto 56 digits remainder by 19 ?..thanks in advance.

18941
@Swavi91
remainder is 1...
18942
@IIM-A2013 said:
In learning experiment at stanford university it was found that the square of the inverse of learning time varies directly as the age of a rat in weeks, while the inverse of learning time and complexity index of the maze are directly related. If the age of the rat in the second trial of the experiment is 40% more than in the first trial and the learning time is 16.67% less, then find change in complexity index of the maze:- a. +10% b. +5% c. +1% d. -5%
is the ans c?
18943
@IIM-A2013 said:
In the famous Harrods museum, the value of each of a set of gold coins varies as the square of its diameter, if its thickness remains constant and it varies as the thickness if the diameter is const. if the diameter of the two coins are in ratio 4:3. what should be the ratio of their thickness be if the value of the first is 4 times that of the second?
2:1 ??
18944
@Ani1308 no it's 5 here.
18945
@shinoda no its 9:4