[mjp1618]

Originally Posted by madguy8

i've got d ans of Q-1 n Q-3. shud i post my ans?

Me too. Should we really have all three answers to post?

[Amit@Career_Avenues]

Quote:
Originally Posted by madguy8
i've got d ans of Q-1 n Q-3. shud i post my ans?


Me too. Should we really have all three answers to post?

I think you should try and crack all three. It is more challenging that way. Ofcourse, if no one gets all 3, then we can split it and get the answers as a joint effort. Give the second question a shot, I am sure you can do it.
Cheers
Amit

[mjp1618]

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 ?

OK, here goes:-

1. 60 miles.
2. 5 AM.
3. 10 cm.

Correct :confused: ?

[estranged_gnrs]

Do Bade pagalon ko mila do to yahi hota hai...
Gr8 work Amit and PG.

@mjp and madguy - DO NOT post the answers..post detailed solution with answers
.how u approached the problem,which is more important.Just posting answers is not gonna solve the purpose.

Rohit

[Amit@Career_Avenues]

Oops. u get 1 right out of 3 qns attempted.
Would also need methods, not just answers.
Cheers
Amit

[mjp1618]

Originally Posted by mjp1618

OK, here goes:-

1. 60 miles.
2. 5 AM.
3. 10 cm.

Correct :confused: ?

My methods:-

1. I drew a diagram, with a 20-mile line of VIP vehicles and the motorcyclist in the initial position in the end; and in his final position the whole motorcade has moved 20 miles forward and the motorcyclist has moved round the motorcade, giving a total distance of 20+20+20 miles = 60 miles.

2. I did a sort of trial and error, from 6 AM backwards and 5 AM seemed to match.

3. Good old 2D coordinate geometry: the centre of the first circle is (7,7) and that of the second is (15,1). Distance comes to 10 cm.


------


Now, 0.33 out of 3: not so good, I know.

[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.

[prettyhatemachine]

Originally Posted by mjp1618

My methods:-

1. I drew a diagram, with a 20-mile line of VIP vehicles and the motorcyclist in the initial position in the end; and in his final position the whole motorcade has moved 20 miles forward and the motorcyclist has moved round the motorcade, giving a total distance of 20+20+20 miles = 60 miles.

2. I did a sort of trial and error, from 6 AM backwards and 5 AM seemed to match.

3. Good old 2D coordinate geometry: the centre of the first circle is (7,7) and that of the second is (15,1). Distance comes to 10 cm.
------

i similarly worked the first n the third question like mjp1618 did.
the same answers.
and i am wrong too ! bummer.

[mjp1618]

Originally Posted by prettyhatemachine

i similarly worked the first n the third question like mjp1618 did.
the same answers.
and i am wrong too ! bummer.

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...

[Amit@Career_Avenues]

Yes, you would be wrong if u get the same answers. So all I can say at this point of time u have a 50% accuracy.