CAT 2008: Quantitative Questions a Day 51-100 -The discussions-Brought to you by SMOT

[nbangalorekar]

Originally Posted by Aarav

Thanks a ton Srikar this will help each one of us here.

Aarav can we have another thread wherein we can discuss higher concepts of maths like diophantine eqs, pell's eq, number theories, higher geom. trigo etc?
btw: the math fact for today can be easily proved if we take any no 'x'
(x^7/11)^pi will give a rational

[manishsin]

Hi,

As only water can evaporate, therefore the weight gets reduced due to water only and the solid weight remains constant.

Let x be the final weight (of dehydrated melon).

Now as 95% is water now, hence weight of solid part is 5%.
Also earlier, 1% was solid => of 10 Kg, 0.1 Kg is of solid weight.

As solid weight remains constant
=> 5% of x = 0.1 Kg
=> x = 2 Kg.
=> Ans. is (3) 2Kg.

[Varun Khullar]

was busy with office formalties so couldn't post yesterday..

Given p and q be positive such that 2 >= p-q, the min value of 2/(p+q) + q/2 is


(1) √2 - 1/2 (2) (√2 + 1)/2 (3) 1 (4) 1/√2 (5) none of these


my take

2 >= p-q
differenciate we dp/dq =1 taking minima case..
differenciate 2/p+q +q/2 ..
we get p+q = (^1/2
p = 2^1/2 +1
q =2^1/2 -1
we get
answer as 1

Nbangalorekar bought a 10 kg of water-melon in Bangalore that had 99% water. After the water-melon was left outdoors for a day, it was 95% water. What was the weight of the dehydrated water-melon?


(1) 9.6 kg (2) 9.5 kg (3) 2 kg (4) can not be determined (5) none of these


reminds me of a old mock question (time i think...)

1/20 x = .1
x =2kg ...

[Aarav]

Originally Posted by nbangalorekar

Aarav can we have another thread wherein we can discuss higher concepts of maths like diophantine eqs, pell's eq, number theories, higher geom. trigo etc?

There is already a thread for that opened by Vineet last year, but I'm not sure how helpful this will be for CAT preparation. Even XAT doesn't venture into that advanced topics. As a lover of mathematics, you can discuss these topics on that thread

[Vishal2704]

QQAD 52##

Raw content = 1% of 10 kg = 0.1kg

Now the water melon has put under sun...

raw content now = 5%of the new wt.

Thus 5%of x = 0.1

x=2kg option (3)

[Aarav]

Originally Posted by Varun Khullar

Nbangalorekar bought a 10 kg of water-melon in Bangalore that had 99% water. After the water-melon was left outdoors for a day, it was 95% water. What was the weight of the dehydrated water-melon?


(1) 9.6 kg (2) 9.5 kg (3) 2 kg (4) can not be determined (5) none of these


reminds me of a old mock question (time i think...)

Today's problem is also known in Maths world as Potato/Water-melon paradox.

If anyone is well read in his life then any question will remind him/her of similar question from somewhere else. I don't look at mocks to prepare QQAD problems.

[nbangalorekar]

Originally Posted by Aarav

Today's problem is also known in Maths world as Potato/Water-melon paradox.

If anyone is well read in his life then any question will remind him/her of similar question from somewhere else. I don't look at mocks to prepare QQAD problems.

I have a very vague recollection of a similar kinda problem.... but cant remember where i came across...
the thread started by Vineet is no more active Aarav... a similar thread was also started by Khanna_Sumit but even that has been closed...
i guess there are no takers for higher math

[taposh]

the answer is 9.6 kg

[anisha mehul]

Originally Posted by Aarav

There is already a thread for that opened by Vineet last year, but I'm not sure how helpful this will be for CAT preparation. Even XAT doesn't venture into that advanced topics. As a lover of mathematics, you can discuss these topics on that thread

Hi Aarav

since I'm new to this forum can u tell me 4om where can I find the answers to previous questions

[seetheFuture]

Bit late in the answer -

2 Kgs -
Explntn-

Weight of the Material - 1% = .1 kg
So Finally - .1 + .95y = y
or, .05y = .1
or, y = 2