Official Quant thread for CAT 2013

@sachisurbhi said:
how many natural numbers below 50 are there in the condition that satisfying (n-1)! is not a multiple of n ?a)15b)14c)17d)16

Q3

@sachisurbhi said:
if y (y>=4) is an even natural number and x=y^2 -2y, then the largest natural number that divides x^2 - 8x isa)192b)144c)384d)96
c?
solve x in terms of y.

x^2-8x = y^4 - 4y^3 -4y^2 + 16y
= (y-4)(y+2)(y-2)y
y>=4 ... put 6 and find out the value. 6*2*8*4 = 384.
@hatemonger said:
how 16? plz explain
@sachisurbhi said:
how many natural numbers below 50 are there in the condition that satisfying (n-1)! is not a multiple of n ?a)15b)14c)17d)16
16 ?
all prime no.s
@vbhvgupta said:
Q3
500 ?

80x - 325 + 325 + 70x - 325 + 15x = 100x
x = 5
total no. of students = 5*100 = 500
@vbhvgupta said:
Q3
500??
@hatemonger said:
16?

All prime no's below 50 and 4
@vbhvgupta said:
Q3
500??
pehle 2 Q kahan hain?
@vbhvgupta said:
Q3
500.
@sachisurbhi said:
how 16? plz explain
For all the prime numbers and 4 it wont be divisible by n u can try by taking few numbers...
@DeAdLy said:
500??pehle 2 Q kahan hain?
last page pe hai

Q4

@vbhvgupta said:
Q4
112.5.....
@vbhvgupta said:
Q4
112.5
Easy Question
@vbhvgupta said:
Q4
112.5??
@vbhvgupta said:
Q4
let the reduced price be x
x*150/100*n = 82.5/100*n*250
x = 137.5
deduction = 250 - 137.5 = 112.5 ?

Q1> see attachement

pradip tore a certain number of consecutive leaves from his book.Each leaf is numbered on either side and is considered to be two pages.if the sum of pages which he tore off was 720.how many pages did he tear off

a)16
b)32
c)42
d)45
@amresh_maverick said:
Q1> see attachement
6 - pi