Official Quant thread for CAT 2013

@Logrhythm ya 11 is the ans..thnks :)
@iLoveTorres said:
could you elaborate with the XY axis diagram? i am not able to visualize it.. Kindly help me understand your approach
@surajmenonv correct
@karl said:

I love this approach....:) It is so elegant...the other ways to solve this are very dry.

regards
scrabbler


@surajmenonv 285 is the correct answer as you mentioned in the previous post
your approach is right ....when you are mentioning 284 you are missing x=-1, y=1

@amresh_maverick said:
1> What is the no of three digit perfect squares that exist in base 5 system ?2> Two 1 X 1 squares are selected on a 8X8 chessboard. Prob that the selected squares have a common side ?PS: Dinner time
OA :

1> 7
2> 1/18

A merchant cheats by using faulty weights to the extent of 12% and 15% at the time of purchasing and selling. Max profit if SP and CP are same ?

2 >No of integral sols of : 3x + 5y =47 |x| |y|

Wanted to understand a procedure to calculate the average speed :

Example :
Speed while going : 60
speed while returning : 100


Step 1 : take the ratio of speeds => 3:5
Step 2: Divide the difference of speeds by sum of ratio => 40/(3+5) = 5
Step 3 : Average speed => 60 + 3(5) = 75


I couldn't understand this method.Can someone please explain me.
Thanks in advance.

@amresh_maverick said:
A merchant cheats by using faulty weights to the extent of 12% and 15% at the time of purchasing and selling. Max profit if SP and CP are same ?
31.5?


bought 1.12

sold .85

profit .27/.85*100 equal to 31.5
@amresh_maverick said:
2 >No of integral sols of : 3x + 5y =47 |x|



@sachisurbhi said:
The capitals of 4 partners A B C D are in the ratio of 7:8:6:5 . A and C's capitals are there in the business for the entire year.If each partner kept his money invested in the business for a period which is more than 6 months , and B and D together get 111/267 of the total profit,then for how many months is D's capital invested?a)11b)7c)9d)cant be determined
OA is A)11
@amresh_maverick said:
A merchant cheats by using faulty weights to the extent of 12% and 15% at the time of purchasing and selling. Max profit if SP and CP are same ?2 >No of integral sols of : 3x + 5y =47 |x|
2> 40 solutions
@joyjitpal said:
31.5?bought 1.12sold .85profit .27/.85*100 equal to 31.5ye toh abhi abhi huya hai
2nd waale ka answer kya hai??
@saurav205 said:
2nd waale ka answer kya hai??
oh wo alag tha

same type hai sry:)
@saurav205 said:
2> 40 solutions
40 hona chahiye

200/5 is 40
@joyjitpal said:
oh wo alag thasame type hai sry
Yes..Esiliye poocha tereko ...
Two commandos A and B are equidistant from a target and the three are in a straight line. Another commando C stands equidistant from A and B such that the distance between him and either A or B is the same as the distance between A and B. What is the ratio of the distance between C and the target to the distance between B and the target?
@saurav205 said:
Yes..Esiliye poocha tereko ...
accha kiya poochke

P.S. sry for the spam
@joyjitpal said:
40 hona chahiye200/5 is 40
it should be 39 i guess
@mohitjain said:
Two commandos A and B are equidistant from a target and the three are in a straight line. Another commando C stands equidistant from A and B such that the distance between him and either A or B is the same as the distance between A and B. What is the ratio of the distance between C and the target to the distance between B and the target?
root 3 hoga kya?
@mohitjain said:
Two commandos A and B are equidistant from a target and the three are in a straight line. Another commando C stands equidistant from A and B such that the distance between him and either A or B is the same as the distance between A and B. What is the ratio of the distance between C and the target to the distance between B and the target?
rt3:1?