Ankurb's posts

Ankurb
replied to Official Quant thread for CAT 09-III (September...

select 1 ball from first bag, 2 balls from 2nd bag and so on.

if balls wer identical, reading wud be = 5500 gms

if 1st bag have lighter balls , reading = 5500 - 10 = 5490 gms

if 2nd bag have lighter balls , reading = 5500 - 20 = 5480 gms

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if balls wer identical, reading wud be = 5500 gms

if 1st bag have lighter balls , reading = 5500 - 10 = 5490 gms

if 2nd bag have lighter balls , reading = 5500 - 20 = 5480 gms

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Ankurb
replied to Official Quant thread for CAT 09-III (September...

a+b = 8 - 2c

2c^2 = 25 -(a^2+b^2)

using above two:-

2c^2 = 25 -((8-2c)^2 - 2ab)

2c^2 = 25 -64 - 4c^2 + 32c + 2ab

6c^2 = 2ab + 32c - 39

also:-

ab <=(4 - c)^2

for max:-

6c^2 = 2(4 - c)^2 + 32c - 39

6c^2 - 24c + 21/2

c = 1/2 or 7/2

c(max) = 7/2

2c^2 = 25 -(a^2+b^2)

using above two:-

2c^2 = 25 -((8-2c)^2 - 2ab)

2c^2 = 25 -64 - 4c^2 + 32c + 2ab

6c^2 = 2ab + 32c - 39

also:-

ab <=(4 - c)^2

for max:-

6c^2 = 2(4 - c)^2 + 32c - 39

6c^2 - 24c + 21/2

c = 1/2 or 7/2

c(max) = 7/2

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