Official Quant thread for CAT 2013

swapnil4ever2u · January 31, 2013, 3:36pm

A borrowed 25000 from a bank at 12% p.a compounded annually. A pays rs 8000 at the end of every year for the first two years. At the end of 3rd year he wanted to clear the loan. how much did he has to pay.. ??

a)18452

b)14576

c)16128

d)18725

e)15300

chandrakant.k · January 31, 2013, 3:38pm

@TootaHuaDil said:
Find the last two non-zero digits of 36!-24!...Ye factorial ke last two digits kaise nikalte hain??

Z(ab) = 66 * Z(ab/5)! * Z(b!)

Z(ab) =>last 2 non zero digits of ab!

z(ab/5)! = is the last two non-zero digits of highest multiple of 5 in ab

z(b!) = last non-zero digit of b!.

Z(36) = 66*z(7)!*Z(6)!

= 66*04*2 = ***28

z(24) = 66*z(4)!*z(4)!

= 66*24*4 = ***36

now 28-36 = 92??

:lookaround:

tootahuadil · January 31, 2013, 3:41pm

@chandrakant.k nhi....64 :(

deadly · January 31, 2013, 3:43pm

@swapnil4ever2u said:
A borrowed 25000 from a bank at 12% p.a compounded annually. A pays rs 8000 at the end of every year for the first two years. At the end of 3rd year he wanted to clear the loan. how much did he has to pay.. ??a)18452b)14576c)16128d)18725e)15300

i am guessing it but is it

E:15300??

bs0409 · January 31, 2013, 3:45pm

@TootaHuaDil said:
Find the last two non-zero digits of 36!-24!...Ye factorial ke last two digits kaise nikalte hain??

36!-24!

=24!(25*26*.............36 - 1)

last 2 non zero digits of 24! are 36.

last 2 digits of the term within brackets are 99(WHY????)

So multiply to get last 2 digits which will be 64

chandrakant.k · January 31, 2013, 3:48pm

@TootaHuaDil said:
@chandrakant.k nhi....64

yes it is 64 😁 😁

see 36! contains 8 zero's

last 2 non zero digit's of 24 = 36 and it contains only 4 zero's

so when you write the numbers to subtract it will be like this

********00000000

-**********360000

so 64 ayega..

:D

paheli baar dono ka subtract kiya tha 😁 😁

meenu05 · January 31, 2013, 3:48pm

Please solve it .

swapnil4ever2u · January 31, 2013, 3:48pm

@DeAdLy . its OA is c..

deadly · January 31, 2013, 3:54pm

@swapnil4ever2u said:
@DeAdLy. its OA is c..

lol i shud have solved it then...

damn i am never good at guessing

logrhythm · January 31, 2013, 4:12pm

@TootaHuaDil said:
@vijay_chandola @chandrakant.k @Logrhythm @bs0409 koi ye bhi bana do

bhai formula hota hai iska....and muje formulae yaad nahi rehte..

@bs0409 bhai hai formula king :D

meenu05 · January 31, 2013, 4:17pm

Please solve it .

swapnil4ever2u · January 31, 2013, 4:25pm

@meenu05

@meenu05 said:
Please solve it .

0 !!

meenu05 · January 31, 2013, 4:28pm

@swapnil4ever2u yes 0 it is .

puritan · January 31, 2013, 4:28pm

10101010....94 digits is a 94 digit number. what will be the remainder obtained when this number is divided by 375 ?

viewpt · January 31, 2013, 4:35pm

@PURITAN said:
10101010....94 digits is a 94 digit number. what will be the remainder obtained when this number is divided by 375 ?

260??

swapnil4ever2u · January 31, 2013, 4:36pm

@PURITAN

@PURITAN said:
10101010....94 digits is a 94 digit number. what will be the remainder obtained when this number is divided by 375 ?

260

viewpt · January 31, 2013, 4:37pm

@meenu05 said:
Please solve it .

is it 6^log?? in the attachment??

meenu05 · January 31, 2013, 4:39pm

please solve it .

logrhythm · January 31, 2013, 4:39pm

@PURITAN said:
10101010....94 digits is a 94 digit number. what will be the remainder obtained when this number is divided by 375 ?

375 = 125*3

010%125 = 10

(1+0)*47%3 = 47%3 = 2

so remainder 125k+10 = 3p+2 ie 260...

vbhvgupta · January 31, 2013, 4:48pm

6 boys and 8 women finish a job in 6 days and 14 boys and 10 women finish the same job in 4 days. In how many days working together 1 boy and 1 woman can finish the work?