official quant thread for cat08

[KIMSTER]

Originally Posted by getintoiimb

puys pls solve these with steps !
4)find the change in % profit for a fruit vendor who after finding 20% of the fruits rotten increased his SP by 10% over and above 15% that he was already charging?

ans : -13.8

Let the price of the fruit be Rs.1 and he has 100 fruits(assuptions for easy calculaion)...20% rotten..so 80 fruits left...earlier he used to sell it at Rs1.15(
15%profit)...now he sells it at (10%above)1.1*1.15=1.265..
Total SP Now =1.265*80 =101.2 ... Profit% =1.2%
Total SP earlier = 115....Profit % =15%

Change in profit % = 15-1.2 = 13.8% decrease..

[KIMSTER]

Originally Posted by getintoiimb

puys pls solve these with steps !
2)a carpenter wants to sell 40 chairs.if he sells them at Rs 156 per chair he would be able to sell all the chairs.but for every Rs 6 increade in price he will be lwft with one additional unsold chair.at what SP would he able to maximise his profits(assume unsold chairs remain with him)?
ans : 198

Let the number of chairs left ubsold be = k
so the Total SP = (40-k)(156+6k)=6240+84k-6k^2.
For Total SP to be maximum its first differential shd be eual to zero and second differential should be negative.

1st differential of SP = 84-12k...wen its equated to zero we have k=7
2nd differential = -12..so negative...

So SP is Max. at k=7... when k=7, the SP of a single chair is =156+6*7=198.

@getintoiimb...i have a small suggestion...kindly avoid putting answers along with the question...it takes the eagerness factor away...

[the_hate]

Originally Posted by nikunj14_83

Hi,
Please help me out with this ques on TSD...

A dog travelled 50 Km & met a swami who advised him to reduce his speed to 3/4 of his original speed which ultimately resulted in dog reaching his destination 35 minutes late.Had he travelled for 24 Km more on his usual speed he would have been late by 25 min in reaching his destination.What is the original speed of the dog???
a)48 Kmph
b)54 Kmph
c) 58 Kmph
d) None of these

Ans-- 48 Kmph

My approach---

Since distance is constant I assumed it to be 96 Km
Going by the options...
Time taken(original)= 96/48=2hrs
As given in ques=50/48+46/36----this is not equal to 155 min as given in the ques(35 min late)
I tried with all the options still no luck
Is my approach wrong???

P.S. Its 50 ques from LOD(2) Arun Sharma

though distance is constant, but still u can't take it to be 96 km here...

well why? lemme take an example..
u said we can tk it to nythin..if i follow ur approach then it shud work for any value of total distance i take...
i take total distance to be 50.000000001 km
now he travels 50 m with v speed and rest 0.000000001 km with 3/4 v,...
do u feel that if he reduces his speed for just 0.000000001 km then he'll get late by 10 mins..

i hope u get the point..its not an independent value...(coz of tht 50 km thing)..so tht assumption was flawed...hence the mistake...

[implex]

New Problem!!
Quadrilateral ABCD is inscribed in a circle with diameter AD = 4, if side AB and BC each have length 1, then find CD?
a) 5/2 b) 3 c) 7/2 d) 4 e) none of these

[implex]

I have prepared a problem booklet for quant, many of the problems have been discussed as I put them here already, some of the questions are from this forum, and some from past qqads.

The booklet has 100 problems!!

[naga25french]

Originally Posted by implex

New Problem:
Find the least multiple of 17 which when divided by 2,3,4..16 leaves a remainder of 1 in each case

i guess the number for the given condition is 510511... but i am afraid that this is not the right answer as its not divisible by 17 but this number satisfy the given condition

@implex

am i atleast close to the answer????

[getintoiimb]

Originally Posted by implex

I have prepared a problem booklet for quant, many of the problems have been discussed as I put them here already, some of the questions are from this forum, and some from past qqads.

The booklet has 100 problems!!

nice work mate!
but just a suggestion..can we have the answers for them as well ?
i know im acting sly here but couldnt resist..referring the pdf with the answers would be much better as we dont have to scroll bacl 200 odd pages..that was just a suggestion..but great job !!
we could also don one thing..have the answers for that pdf in 2 weeks time in a seperate pdf so that ppl can also work out the probs at home and for those that we aint able to solve, rather than re posting them here we can refer the pdf

[vivek417]

Originally Posted by implex

I have prepared a problem booklet for quant, many of the problems have been discussed as I put them here already, some of the questions are from this forum, and some from past qqads.

The booklet has 100 problems!!

Thanks Implex for drafting such a wonderful set of questions. I hope it would be really helpful for all.

Thanks
Vivek

[implex]

Originally Posted by getintoiimb

nice work mate!
but just a suggestion..can we have the answers for them as well ?
i know im acting sly here but couldnt resist..referring the pdf with the answers would be much better as we dont have to scroll bacl 200 odd pages..that was just a suggestion..but great job !!
we could also don one thing..have the answers for that pdf in 2 weeks time in a seperate pdf so that ppl can also work out the probs at home and for those that we aint able to solve, rather than re posting them here we can refer the pdf

well most of the problems have been discussed here, and we can do that again, the reason for not giving the answers is that, then people rush to the answers quickly. If you are desperate then do the hard work of looking into the forums.

I will post the answers in some time!!

[deep@k]

Originally Posted by implex

New Problem!!
Quadrilateral ABCD is inscribed in a circle with diameter AD = 4, if side AB and BC each have length 1, then find CD?

CD = 1..?
is it correct?