Official Quant thread for CAT 2013

@pirateiim478 said:
In a number system 12, 20,24 are in an arithmetic progression. What is the base of the number system?

base 6
What is the minimum value of (a+b+c) when its given that (a^2) *(b^3)*c= 256/27 and a,b,c are all real positive numbers? (1)5 (2)3 (3) 6 (4) 4 (5) none of these
@bs0409 : 6 is the answer. Option (3)
@bs0409 said:
What is the minimum value of (a+b+c) when its given that (a^2) *(b^3)*c= 256/27 and a,b,c are all real positive numbers? (1)5 (2)3 (3) 6 (4) 4 (5) none of these
4?
(a/2+a/2+b/3+b/3+b/3+c)/6=(a^2/4*b^3/27*c)^1/6=(256/27*1/4*1/27)^1/6=(2/3)
--->a+b+c=6*2/3=4??


in hw many ways a cricketer can scor 200 using fours & sixes.?

@bs0409 said:
What is the minimum value of (a+b+c) when its given that (a^2) *(b^3)*c= 256/27 and a,b,c are all real positive numbers? (1)5 (2)3 (3) 6 (4) 4 (5) none of these
(4) 4.

@The_Loser said:
in hw many ways a cricketer can scor 200 using fours & sixes.?
Oops Crap---
@The_Loser said:
in hw many ways a cricketer can scor 200 using fours & sixes.?
17
@bs0409 said:
What is the minimum value of (a+b+c) when its given that (a^2) *(b^3)*c= 256/27 and a,b,c are all real positive numbers? (1)5 (2)3 (3) 6 (4) 4 (5) none of these
Must be 4

If xΔ(y +1) = yΔ(x +1),xΔ x = 1 and (x − y)Δ(x + y) = xΔ y, then what is the value of 1001Δ1?

Δ is an operator
@The_Loser
@The_Loser said:
in hw many ways a cricketer can scor 200 using fours & sixes.?
6x+4y =200
3x+2y=100
x=2k
6k
k=0-16
17 ways
EDITED-> missed the case when k=0 :banghead:
Thanx @Ibanez
ޔyeh kya cheez hai..??
@Budokai001
@bs0409 : 4 it is & not 6.
@Ibanez said:
17
@pirateiim478 said:
8 ways
17 is d ryt ans
@The_Loser said:
in hw many ways a cricketer can scor 200 using fours & sixes.?
a=# of 4's
b=# of 6's

4a+6b=200

2a+3b=100
b must be even, so let b=2k
2a+6k=100
a+3k=50

a=2,5,8,.................,47,50

total 17 values.....
@The_Loser said:
in hw many ways a cricketer can scor 200 using fours & sixes.?
2x+3y=100
50 0
47 2 ....

x=>50 ,47...0 => 51/3+1 = 18 But x=0 is not possible
So ans=17
@techsurge said:
@The_Loser6x+4y =2003x+2y=100x=2k6kk=1-1616 ways
3x+2y=100
y will take values 2,5,8..... 50

so total (50-2)/3 +1 = 17 values :)
@mailtoankit It is an 'operator' buddy
@The_Loser said:
in hw many ways a cricketer can scor 200 using fours & sixes.?
17 values?
@Budokai001 said:
Must be 4 If xΔ(y +1) = yΔ(x +1),xΔ x = 1 and (x − y)Δ(x + y) = xΔ y, then what is the value of 1001Δ1?Δ is an operator
My take - 1
Rohan is asked to figure out the marks scored by Sunil in three different subjects with the help of
certain clues. He is told that the product of the marks obtained by Sunil is 72 and the sum of the
marks obtained by Sunil is equal to the Rohan €™s current age (in completed years). Rohan could not
answer the question with this information. When he was also told that Sunil got the highest marks
in Physics among the three subjects, he immediately answered the question correctly. What is the
sum of the marks scored by Sunil in the two subjects other than Physics?