Official Quant thread for CAT 2013

MBA CAT 2024
5001
@Anivesh90 said:
bro whats your approach..?
3982 = 1991*2
So clearly first term is divisible ==> remainder 0
second term 1992^3 = 2*996*1992^2
cancel 2 from numerator and denominator..
we now want (996*1992^2)mod 1991 = 992
since we removed 2, now multiply by 2
remainder = 996*2 = 1992 :)
5002
@audiq7 said:
Suppose your credit cars charges 16% interest(compound) per year, but you have to pay the interest due monthly. What is the annual percentage rate?
@audiq7 said:
17.817.218.418.8
17.2?

16/12 = 4/3

((100 + 4/3) / 100)^12 - 1 * 100 = 17.227% (used calculator)
5003
@Anivesh90 said:
bro whats your approach..?
1992....last mein yeh bachega 5974/3982..normal method dalo !
5004
@audiq7 said:
Suppose your credit cars charges 16% interest(compound) per year, but you have to pay the interest due monthly. What is the annual percentage rate?
17.22%...high calculation ...solved using calculator
5005

in a film festival, total 5000 people visited. every person watched 5 movies and every movie was watched by 500 people. What is the no.of featured films?

at least 40
at least 50
exact 50
NOT
5006
@audiq7 said:
in a film festival, total 5000 people visited. every person watched 5 movies and every movie was watched by 500 people. What is the no.of featured films?
at least 40
at least 50
exact 50
NOT
exact 50?
5007
@SarayuSheshadri
5008
@audiq7 said:
in a film festival, total 5000 people visited. every person watched 5 movies and every movie was watched by 500 people. What is the no.of featured films?at least 40at least 50exact 50NOT
50
5009

@audiq7

50 movies ?, I'll share my approach, plz confirm !

5010
@audiq7 said:
5000*5/500 = 50 :)
5011

1st consider same 500 people seeing movie 1,2,3,4,5

Next another 500 batch watching 6,7,8,9,10

No. of people must sum to 5000

5012

a man is stranded on an island. all he has to drink is 20cc bottle of vodka. to conserve his drink, he decides that on 1st day he will drink 1cc and replace it with water. on second day, he will drink 2cc and refill the botle. by the time all the vodka is gone, how much water has he drunk?

5013
@audiq7 said:
a man is stranded on an island. all he has to drink is 20cc bottle of vodka. to conserve his drink, he decides that on 1st day he will drink 1cc and replace it with water. on second day, he will drink 2cc and refill the botle. by the time all the vodka is gone, how much water has he drunk?
210cc?
5014

PQ is a diameter of circle and R is any point on the circumference of the circle. If "S" and "A" are the perimeter and area of the triangle, respectively then which of the following is true.

1) A and S is maximum if triangle PQR is isosceles.
2) A and S is minimum if triangle PQR is isosceles.
3) A is maximum and S is minimum if triangle PQR is isosceles.
4) A is minimum and S is maximum if triangle PQR is isosceles.

5015
@pankaj1988 said:
PQ is a diameter of circle and R is any point on the circumference of the circle. If "S" and "A" are the perimeter and area of the triangle, respectively then which of the following is true.1) A and S is maximum if triangle PQR is isosceles.2) A and S is minimum if triangle PQR is isosceles.3) A is maximum and S is minimum if triangle PQR is isosceles.4) A is minimum and S is maximum if triangle PQR is isosceles.
1
5016
@pankaj1988 A?
5017
@krum said:
1
@audiq7 said:
@pankaj1988 A?
how?
5018
@pankaj1988 said:
how?
take 8,6,10 as sides of a triangle non-iso
A= 24, S=24

take iso - root50,root50,10
A=25, S=2root50+10
5019
@pankaj1988 said:
how?
For Iso Triangle A is max. sure, as ht. is max area= 1/2*b*h, but don't know abt. S
How you guyz found out abt. s ?
5020

what is the highest power of x to yield an integral ans for 167!/(24!)^x?