Official Quant thread for CAT 2013

@vbhvgupta said:
Yar what is the concept behind it....like for some other no's also do we have to divide those no by 25 to get the last 2 digit no????
No actually the last two digits are calculated when remainder with 100 is taken
what is 100?
100 = 4*25
since the above term is already divisible by 4, we can directly take the remainder by 25 because when you apply chinese remainder theorem, it boils down to the same


@vbhvgupta said:
Yar what is the concept behind it....like for some other no's also do we have to divide those no by 25 to get the last 2 digit no????
Last two digits => Remainder by 100.

100 = 4*25
Check for 25 as here 4 wasn't needed.
@vbhvgupta said:
(201* 202 * 203* 204* 246 * 247 * 248 * 249)^2 Last 2 digits????
76
@vbhvgupta said:
Yar what is the concept behind it....like for some other no's also do we have to divide those no by 25 to get the last 2 digit no????
find last digit ==> div by 10 then remainder is ur last digit
find last two digits==> div by 100 then remainder is ur last two digits simlrly by 1000 and so on..

Never Knew 76^2 = xx76.. 😃

@pyashraj said:
Never Knew 76^2 = xx76..
Any power of 76 ends in 76.

Even Powers of 24 end in 76.
Odd Powers of 24 end in 24.
@pyashraj said:
Never Knew 76^2 = xx76..
all even powers of 76 end in 76 while all odd powers of 24 end in 24
also, 24^even ends in 76....

this might help when last 2 digits of a number are asked, if asked i must say :)
@Estallar12 saar..the journey begins..
@mailtoankit said:
@Estallar12 saar..the journey begins..
Yeah. 😁 Lets keep Rolling and avoid Trolling. :P

What is the least natural number that should be added to 576 to make it a perfect square?

@Logrhythm said:
What is the least natural number that should be added to 576 to make it a perfect square?
49 😛 trap kindaa question
@Logrhythm said:
What is the least natural number that should be added to 576 to make it a perfect square?
it is Already a perfect sq??
@Logrhythm said:
What is the least natural number that should be added to 576 to make it a perfect square?
Lol. What is this ? :splat:
24, 25 and 7 is a Pytho Triplet.
=> 576 + 7^2 gives a PS. So, 49. :|
@Logrhythm said:
What is the least natural number that should be added to 576 to make it a perfect square?
625(25^2)-576(24^2)=49
@Logrhythm

Am i seeing it correctly..phir bhi.. 49 should be..
@vbhvgupta said:
it is Already a perfect sq??
Yeah. So, go for the next one I guess. :splat:
@vbhvgupta said:
it is Already a perfect sq??
576 is a perfect square..but u need to add a natural number to make it another perfect square which is 49
@ravi.theja said:
49 trap kindaa question
@vbhvgupta said:
it is Already a perfect sq??
@Estallar12 said:
Lol. What is this ? 576 + 7^2 gives a PS. So, 49.


Ye it is 49

@Estallar12 it is a question from last year's aimcat.....just posted it to make all of us remember that even easy question appear in the exam, it is now always about the tough questions.. :)
@Logrhythm said:
Ye it is 49@Estallar12 it is a question from last year's aimcat.....just posted it to make all of us remember that even easy question appear in the exam, it is now always about the tough questions..
Oh. :woot:
Thanks! :)

Easy questions should be sandwitched anyway. Good.!

1st aimcat..i remember..