Official Quant thread for CAT 2013

@abhishek.2011 said:
as said did it orally cost of 1 apple 5 rscost of 1 orange 4 rs12*5+9*4=96for doing it orally just seek the solutions of 3x+4y=32 in mind
True (and well spotted)....but a much quicker method, not even requiring x and y to be computed, would be to just recognise that what we need (9 oranges and 12 apples) is 3/4th of the first given equation (12 oranges and 16 apples cost rupees 128) and hence the cost is straightaway 3/4 of 128 i.e. 96 without even using the second piece of information given.

regards
scrabbler

@abhishek.2011 said:
again on ur path scrabbler bhai did it orally too_/3 it will bejoin centre of hexagon with vertices ,now every length will be same as 1,from centre join the side ,half the side will come as _/3/2 as angle subtended is 60so _/3
That is assuming a regular hexagon. Else, 2 tak jaa sakta hai :P

Waise in case of a regular hexagon, if you think of the side-waale triangles as 30-30-120 triangles, straightaway the ratios of the sides turn out to be 1 : 1 : rt3. Or if you have calculated the diagonals of a reg hex before, then the answer is already there :)

regards
scrabbler

At time t=0 s, the radius of a circle is equal to 15 cm. The radius of the circle increases at a rate of 0.5 cm/s. The rate of change of area at t=20 s is equal to mπ cm^2/s, where m is a positive integer. What is the value of m?

@techgeek2050

even I did the same mistake

successive profits 10, 12

so total 10+12+(10*12)/100=23.2

but this profit he is getting on 1 kg ( suppose)

he can get profit on cheated quantity also right

so > 23.2

see albiesriram

E n I s:

Q 1 & 2


@Tusharrr said:
At time t=0 s, the radius of a circle is equal to 15 cm. The radius of the circle increases at a rate of 0.5 cm/s. The rate of change of area at t=20 s is equal to mπ cm^2/s, where m is a positive integer. What is the value of m?
15?
@albiesriram said:
E n I s:Q 1 & 2
2 > c
did orally,not sure though...
see if cosec^2 and sec^2 are roots then product of roots divided by sum of roots is 1.
this is true for c only.
@ChirpiBird said:
2 > c did orally,not sure though... see if cosec^2 and sec^2 are roots then product of roots divided by sum of roots is 1. this is true for c only.
I guess 1 bhi orally ho sakta hai if we consider an equilateral triangle (since no CBD or NOTA must be true for any triangle)

Edit: Will be 1/4. For equi, 2rt3 + 2rt3 + 2rt3 = lambda(2rt3)^3 = lambda(24rt3) so lambda = 1/4.

regards
scrabbler

@albiesriram said:
E n I s:Q 1 & 2
2) Option C because sec^2a + cosec^2a >=4 and sum = product..
@ChirpiBird said:
2 > c did orally,not sure though... see if cosec^2 and sec^2 are roots then product of roots divided by sum of roots is 1. this is true for c only.
Wo to b k lie b true hai ma'am :)
@heylady Its INcorrect
@ChirpiBird said:
2 > c
Crct
@ChirpiBird said:

this is true for c only.
None is there as well and also B suits the logic ??

@ScareCrow28 said:
2) Option C because sec^2a + cosec^2a >=4 Wo to b k lie b true hai ma'am
:splat: dekha nhi!
@albiesriram said:
Crct None is there as well and also B suits the logic ??
bache ki jaan loge...
Sorry man, dhyaan nhi dia.
@heylady said:
15?
@Tusharrr said:
At time t=0 s, the radius of a circle is equal to 15 cm. The radius of the circle increases at a rate of 0.5 cm/s. The rate of change of area at t=20 s is equal to mπ cm^2/s, where m is a positive integer. What is the value of m?
Sorry,
is it 40??


@scrabbler said:
I guess 1 bhi orally ho sakta hai if we consider an equilateral triangle (since no CBD or NOTA must be true for any triangle)regardsscrabbler
equilateral consider karenge toh 1/4
@albiesriram
@ChirpiBird said:
equilateral consider karenge toh 1/4 @albiesriram
@ChirpiBird said:
bache ki jaan loge... Sorry man, dhyaan nhi dia.
Its ok,, .
@albiesriram said:
E n I s:Q 1 & 2
2. 1/4 ?

E n I :
Q 3 n 4 😃

@Tusharrr said:
At time t=0 s, the radius of a circle is equal to 15 cm. The radius of the circle increases at a rate of 0.5 cm/s. The rate of change of area at t=20 s is equal to mπ cm^2/s, where m is a positive integer. What is the value of m?
is it 25 ?
@heylady said:
Sorry,is it 40??
@mailtoankit said:
is it 25 ?
The question is asking for value of m and you are quoting two digit numbers??