Official Quant thread for CAT 2013

@vbhvgupta said:
on selling tea at a rs 40 /kg a loss of 10% is incurred. Calculate the amount of tea in kg sold if the total loss incurred is rs 80.
18.
@vbhvgupta said:
A sold a table to b at a profit of 15%. later on b sold it back to A at a profi of 20% there by gaining rs 69. how much did A pay for the table originally?
0.2y=69
y=69*5
1.15x=69*5
23x/20=69*5
x=300??
@vbhvgupta said:
A sold a table to b at a profit of 15%. later on b sold it back to A at a profi of 20% there by gaining rs 69. how much did A pay for the table originally?
let CP for A be 100
so SP for A and CP for B = 115
=> SP for B (when he sells it back to A) = 138
B's gain = 138-115 = 23
but the gain here is 69 or 23*3

hence, A would have paid -> 100*3 = 300 rupaye
@vbhvgupta said:
A sold a table to b at a profit of 15%. later on b sold it back to A at a profi of 20% there by gaining rs 69. how much did A pay for the table originally?
300

Mein bhi delete kar dhiya.. please write explanation for that rectangle wala sum.

@iLoveTorres said:
36?MY approach would beIrrespective of where the point E lies consider AE+CE=diagonal and to eliminate two options this is very useful if you assume that square is a rectangle with equal sides and also the diagonals bisect each other. SO by the given condition of 180 degrees you can assume it to be a square . So you would get upper limit diagonal=9 area=81/2=40.5(area cant be more than this). Now by looking at the pattern area should be a multiple of 9. hence 36
can we really consider that......... in all cases.......
@albiesriram said:
Mein bhi delete kar dhiya.. please write explanation for that rectangle wala sum.
i have written it.. edit my post.. have a look at it.. though the method works for me i dont kno if it would be of any substance to you
@Dexian said:
can we really consider that......... in all cases.......
if you consider the point on the diagonal then yes you can do it. Also other conditions provided must be enough for you to assume it to be on a diagonal or for you to assume a square.

But also remember this would oly help you eliminate options and not arrive at the final answer if you dont identify the constraint on which your answer would depend which in this case is 9
@albiesriram said:
7/12.

1 : 3 : 5 : 7 : 9 : 11

regards
scrabbler

@scrabbler said:
7/12.1 : 3 : 5 : 7 : 9 : 11regardsscrabbler
bro thoda explain karo please
@albiesriram said:
46
@Dexian said:
46
no :(
@iLoveTorres said:
bro thoda explain karo please
Arre...similar triangles with sides in ratio 1 : 2 : 3 : 4 : 5 : 6...so areas in ratio 1 : 4 : 9 : 16 : 25 : 36 so shaded areas in ratio 1 : (4-1) : (9-4) : (16 - 9) : (25-16) : (36 - 25) = 1 : 3 : 5 : 7 : 9 : 11 so shaded triangles are 3, 7, and 11 = 21 out of 36 = 7/12. No paper needed.

regards
scrabbler

@scrabbler said:
No paper needed.
@albiesriram said:
10=7,3 = 1/4*1/4 * 2=1/8
10=5,5 =1/4 *1/4=1/16
1/8 +1/16=3/16 = 48/256

48 not in the options..:(
@albiesriram said:
67.

Assuming that a dart is guaranteed to hit the board, the areas of the circles are in ratio 1 : 3 : 5 : 7 (as in previous question). Chances of 10, 7, 5, and 3 are therefore 1/ 16, 3/16, 5/16, 7/16.

For a total of 10, we need 3, 7 or 5,5 or 7,3
i.e 7/16 * 3/16 or 5/16 * 5/16 or 3/16 * 7/16 = (21 + 25 + 21)/256 = 67/256

regards
scrabbler

@albiesriram said:
well
ab comes as _/1540/39
ad comes as _/351/15
area=ab*ad=36
@albiesriram said:
no
C(10)=1
C(7)= 3
C(5)= 5
C(3)=7

for total to be 10........
(5+5)= 5 * 5
(7+3) or (3+7) =2* 7*3=42
total 25+42=67

PS it is numerator of P
@Subhashdec2 said:
10=7,3 = 1/4*1/4 * 2=1/810=5,5 =1/4 *1/4=1/161/8 +1/16=3/16 = 48/25648 not in the options..
u missed 3, 7 and moreover the event is not equally likely to take 1/4 for everything..