Official Quant thread for CAT 2013

@maroof10 koi to iska solution post karo tabse without any shortcut count kar rhi hun....

@pratyush9811 i think it will be 10PM ///
@albiesriram said:
C. 3
@ankittripathi said:
C. 3
OA D. 4 ( 0,10,16,18 viz)
Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
@viewpt said:
Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
14?
@viewpt said:
Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
26?

6s 4s
====
50 0
48 3
. .
. .
0 75

@viewpt said:
Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
26?
@viewpt said:
Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
26..
@viewpt said:
Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
26?
@viewpt said:
Q: in how many ways a cricketer can complete 300 runs exactly with only 6s and 4s?
6x+4y = 300
=>3x+2y = 150
=>x = 50 - 2y/3
since x is non-negative integer hence y must be a multiple of 3, also (2y/3) cannot be greater than 50, otherwise x becomes -ve.
=> y can take any value which is multiple of 3 and
hence 0,1,....75 are 26 possible values.
ATDH.
@Abir1103 is the answer 26??
@ankittripathi total no of solutions for 6a + 4b=300...
@jai.tuteja said:
@ankittripathi total no of solutions for 6a + 4b=300...
No. of possible solutions, neglecting negative solutions is 26
@9040 I do not know any shortcut aswell
@ankittripathi yup.... correct..!!!

please share the shortcut formula.. I mean the PnC shortcut method.....

find the sum of the first 20 terms of the series 2*3,4*6,6*9,8*12.....

The total number of integral solutions for (x,y,z) such that xyz=24,is

@pavimai said:
find the sum of the first 20 terms of the series 2*3,4*6,6*9,8*12.....
17220?