[Amit@Career_Avenues]

I think my 1st answer is wrong now; it must be less than 60 and above 40.

And I think my last answer must be correct, or I should probably buy 11th grade text books and study again......


BTW, can you please give the options, Amit? That would make things easier...

For question 1
1. 40 2. 60 3. 50 4. None of these

For question 2
1. 5.00 a.m. 2. 5.30 a.m. 3. 4.30 a.m. 4. None of these

For question 3
1. 10 2. Root 106 3. 9 4. None of these

If ur answer for any of the question is "None of these", then specify correct values.

And again, I request you to post your method.

Amit

[madguy8]

Originally Posted by tinkerbell

Amit,
Could you please explain the Fermat theorem and its applicability (or lack of it) in various problems..I often get confused when to use it..

Thanks and keep up the wonderful work you are doing
Tinkerbell.

hi tinkerbell,
i wud really like to tell about fermat's rule( if a m wrong sumwere, Amit pls correct me)
fermat's rule states dat
if p is prime then,
a^p-1%p is 1.
i.e the remainder when p is divided by a^p-1 is 1,provided a and p are coprime.
ex 4^4 when divided by 5 will give remainder 1.
on same lines, 3^100 when divided by 101 will give remainder 1.
even when 3^200 or 3^4000000 when divided by 101 will give remainder 1 as these powers r mpls of 101-1.

[YoY]

Well, Great work Amit

Here are my answers

1. 40 ( 1.5 + 0.5 )
2. 4 AM
3. 10

Let's see how many I have got right

[mjp1618]

Originally Posted by Amit@Career_Avenues

For question 1
1. 40 2. 60 3. 50 4. None of these

For question 2
1. 5.00 a.m. 2. 5.30 a.m. 3. 4.30 a.m. 4. None of these

For question 3
1. 10 2. Root 106 3. 9 4. None of these

If ur answer for any of the question is "None of these", then specify correct values.

And again, I request you to post your method.

Amit

OK, what about:-

1. 40 miles.
2. 5.30 AM.
3. 10.

[zanyzaphod]

Originally Posted by Amit@Career_Avenues

T

The 50-40-30 minute strategy : Obviously for those who have a strength, a weakness and an OK section. Atleast it does not require jumping between sections. Also this strategy, or the next strategy can be used for "maximisation of net score" strategy.

Cheers
Amit

Hey, is that in order?...50 min for strength & so on...doesn't make sense :whatthat:...I'm slow at quant, so will require 45 min to attempt 20 q..I'm capable of getting 25+ in VA in around 30-35 min & 20+ in DI in around 40 min & I totally lose it if I jump sections...
So, what would you suggest in what order? solve VA in 30, DI in 40 & spend last 50 min in QA coz that's what I've been doing right now...presently in 98 percentile range with 99+ in the verbal heavy SIMCAT's...

Needless to say, your gyaan on PG has been amazing...Thanks a million

[just08in]

Originally Posted by Amit@Career_Avenues

Hi PGites,
With less then a month to go for CAT, it is the perfect time to raise the tempo a little bit, and make sure that we leave no stone unturned to smash CAT. So on this thread I propose to throw a few quant questions, or upload some some stuff on CAT related topics.

So let me begin by posting three questions from the CAV classic quant workshop, which have been a hit with all the students. These are not difficult and have fairly elegant solutions. All are standard questions, and you should be able to get these with a little bit of thinking.

So here we go.

Shoot your answers and methods only if you have all three answers.

Q1. A police motorcyclist is escorting a 20 mile line of VIP vehicles. He drives at constant speed from his starting place at the back to the front of the line, and immediately returns with the same speed to the back of the line. He arrives at the back just as the line has moved 20 miles. How many miles did the policeman travel?

Q2. One morning it starts to snow at a constant rate. Later, at 6:00am, a snow plow sets out to clear a straight street. The plow can remove a fixed volume of snow per unit time, in other words its speed it inversely proportional to the depth of the snow. If the plow covered twice as much distance in the first hour as the second hour, what time did it start snowing?

Q3. Two squares of sides 2 cm and 14 cm are drawn on a line of 16 cm, with one of their sides touching. Two circles are then drawn inside the two squares, one in each. If the circles are the largest possible circles that can fit into the squares, then what is the distance between the centers of the two circles ?

I am new to this pagal guy..got registered today itself...this website is amazing...i feel i missed a lot all these days...amit i got answers to all ur questions....

1)48.28miles
2)5:00am
3)10 units..

guess they are correct..well

1)I solved this one by assuming the speed of the line as 20mile/hr. and the time for the motorcycle to finish the whole trip to be 1hr, by the time which the line would have covered 20miles...
so its a quadratic equation.
1/(x+20)+1/(x-20)=1/20
hope u understood how i got the above equation.on solving this we get 48.28miles as the answer..

2)now assume the snow is 'a'units thick at the time 6:00am.. and in the first hour the machine removes x units length but removes only x/2 units length..which tells that the snow falls at the rate of 'a' units per hour..since we assumed that its a units at 6:00am so the snow must start at 5:00am

3) This one is pretty easy...now the small circle's centre will be 1 unit from left and 1 unit high..and the second one will be 7unit from right and 7unit high..(actually havent cheked the image u have put up..am just visualising and writing this one....) so the distance between the centres..horizontally is 8units...and vertically it is 7-1...so thanx to pythogoras.its 10units...


finally hatsoff to those humanitarians who have started this website...this one is simply amazing....!!

[Amit@Career_Avenues]

YOY - 1 correct out of 3.
I will not respond if some detailed methods are not provided.
And tinkerbell - will answer your query on the Ask Career Avenues thread tmrw with examples and applications. Let us kssp this thread for the purpose stated by Allwin on post 1.

[Amit@Career_Avenues]

Originally Posted by zanyzaphod

Hey, is that in order?...50 min for strength & so on...doesn't make sense :whatthat:...I'm slow at quant, so will require 45 min to attempt 20 q..I'm capable of getting 25+ in VA in around 30-35 min & 20+ in DI in around 40 min & I totally lose it if I jump sections...
So, what would you suggest in what order? solve VA in 30, DI in 40 & spend last 50 min in QA coz that's what I've been doing right now...presently in 98 percentile range with 99+ in the verbal heavy SIMCAT's...

Needless to say, your gyaan on PG has been amazing...Thanks a million

Good observation.
Different people can use this strategy differently.
For eg.
A 99 percentiler like you can use it to clear cut-off in strength area in 30 minutes and have 50 minutes to tide over the trouble area.
But for a person who is not aiming at an IIM but for a college which would not be so rigid on the sectional cut-offs, then the strategy gets reversed. Spend more time on strong area and max your score there, and hence ovearll net score is high. For a weak section 30 or 40 minutes will not make a significant difference.
Cheers
Amit

[Amit@Career_Avenues]

Good show just08in
2 right out of 3. And good explanations too. Now let us see what other do, and how do they improve on your explanations / answers.
Cheers
Amit

[just08in]

Originally Posted by Amit@Career_Avenues

Good show just08in
2 right out of 3. And good explanations too. Now let us see what other do, and how do they improve on your explanations / answers.
Cheers
Amit

Thanx Amit but i feel all are right..i just doubt my second question...
let say at 6:00 am the road is 'a' units thick...and i the first hr 'x' length is cleared...the only reason y it clears only half of that length 'x' is beacuse of the snow which fell during this first hr..rest all are same for both chunks....
it clears only half it means the new thickness of the snow should be 2'a'
so therefore it takes one hour for 'a' thickness...this proves that snow should start at 5:00...