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[exile]

Originally Posted by getintoiimb

for qn 1
first divide the first 4 digits by 909.u get a rem of 325.
now since its for the first 4 digits we got to multiply it by 100 to get it for 400 digits.
so u get 32500/909 which is 685.

Note :this is the standard pattern for such kind of problems!

Does this approach always work?

Let's take a small number, say, 1818 and divide it by 4.
Going by your approach, 18%4 =2 and 2*2=4%4 =0. But 1818 is not divisible by 4.
Any mistakes in my approach?

[nishant_rungta]

Originally Posted by exile

Team!!

Doubts!!


2) Find the remainder when 3^1001/1001. (Pref by Chinese remainder theorom. I've a few doubts in that concept)

3^1001/7*11*13

When this is divided by 7 (3^1001/7) remainder is 5
When divided by 11 (3^1001/11) remainder is 3
When divided by 13 (3^1001/13) remainder is 9

Hence 7x+5 = 11y+3 = 13z+9

=> 572 + 91 + 308 = 971

971 should be the remainder!!

Lol flicked it from Quant marathon thread. Seems a great approach!!

[exile]

Originally Posted by nishant_rungta

3^1001/7*11*13

When this is divided by 7 (3^1001/7) remainder is 5
When divided by 11 (3^1001/11) remainder is 3
When divided by 13 (3^1001/13) remainder is 9

Hence 7x+5 = 11y+3 = 13z+9

=> 572 + 91 + 308 = 971

971 should be the remainder!!

I don't understand how you arrived at the boldened line. Can you elucidate?

[nishant_rungta]

Wrote CL Mock 9 tonight from 10 PM to 12.30 PM

Had a decent outing. Cleared all 4 cut offs

DI/LR: 26.25 - 95.8%ile
VA - 31.75 - 99.5%ile
RC - 22.5 - 92.3%ile
QA - 22.75 - 95.1%ile

OA - 103.25 - 99.10%ile Rank - 86

My first CL 99%iler and a first time top 100 rank Great feeling truly!!

Overall I think it made the paper a bit complicated but an amazing experience all together

Spotting 2/3 option choices in QA is very easy but this time RCs in 5 marker was quite simple. Scored heavily there.

VA section in itself was quite easy and smooth going, though my accuracy was pretty bad there~!!!

A nice mock after a very poor simcat


Nishant

[rik_12]

Originally Posted by exile

Team!!

Doubts!!

1) What is the remainder when 12341234...... 400 digits is divided by 909? (I solved this one, but the solution was lengthy. )

2) Find the remainder when 3^1001/1001. (Pref by Chinese remainder theorom. I've a few doubts in that concept)

3) Find the remainder when 1^7 + 2^7 +... +100^7 is divided by 202?

P.S: Anyone has last 10 years CAT papers?

sorry for barging in...jus tryin ma hand at des probs

1)the recurring pattern divided by 9 leaves a remainder 1...try out the options..only 1 wil fit which wil leave a remainder 1 on being divided by 9...dis method didn strike me in d xam...i did by CRT...

2)1001=7*11*13
find out indv remainders and combine by CRT...
i wil gve d method...
exile...gve it a try... say on dividing by 7 we get k as rem and dividin by 11 we get p as rem...
now d eqn is 7r+11s=1 ...try finding d least integral soln to this eqn...
den combine to find rem by 77 as (7*r*p + 11*s*k)...now that u hve got for 77....try out for 13 and 77 similarly...

3) on being divided by 2 it leaves rem 0...
on being divided by 101...rewrite the numerator as 1^7 + 2^7 +.... +(-2)^7 +(-1)^7...so rem =0
hence final rem =0.

since ur enrolled with CL...dey wil gve u a booklet for past yr CAT papers (03 leaked,03 non-leaked,04,05,06,07)

hope it helped...in case f queries gt bak 2 me.

[Samara12]

Any approach to these?????????????
Q1:- Find the sum of digits of N if N=202*20002*200000002*20000000000000002*2000000000 00000000000000000000002
(a) 256 (b) 160 (c) 189 (d)None of these
Q2:-If 2^2 + 22^2 + 222^2 + 2222^2 + ... + 22...^2(49 times) is divided by 9,find the remainder.
(a) 2 (b) 6 (c)7 (d) 4

[Obsessed_bout_mba]

Hi All,

Done with my GMAT..took it on 14-Oct
Scored 680 (50 in Quants and 32 in Verbal)

Expected around 720-730 but alas.....
Anyway got to stay focussed and not lose out on the next big thing on 16-Nov

Will be applying to NUS, NTU, AIM Manila and a couple of US schools (Yet to finalize on the US schools). With the present economic conditions world wide and with the rising cost of foreign B school tuition fee and $ value, would prefer to get into a "desi school" rather than a foreign B school..

[nishant_rungta]

Hey all,

This is not a spam!!

Thread is lying dormant!!

Whats up with everyone?

How are preps? Whats everybody's strategy for the last lap? This is a very short lap and everyone's bound to go for the kill now!! Get those sprint gears on!!

Wud like to hear from everyone!! What's their approach now? Lets discuss the last bit of our strategies!! Hope everyone's doing well! And wish everyone a fruitful 32 days now! including the post cat day!!

I already have butterflies in my stomach

PS: Raghu, macha we wish u good luck for ur gmat colleges!! Don't worry

[exile]

I think we can discuss last ten years CAT questions in the last few days. I don't have the question papers. If anyone has previous years' papers, do post the questions.

I have no plans/strategy for the last lap. I take sectional tests whenever I feel like and analyze them. I am spending most of the time reading books and relaxing. My only plan is to clear all the cut-offs in the remaning mocks. And I will go through previous years' CAT paper. I haven't downloaded the papers yet. If someone has plz do mail it across it to me. Would appreciate.

[shweta.sahu]

Got The sim cat-12 percentiles.
Here they go:
DI-27%tile.... told u it was bad..
VA-90.66%tile..jua managed to clear the cut off
Quants-86.63%tile..misd the cut off by 1 mark
OA-80.40%tile

Anyways getting back to preparation..trying to learn as much as possible from my mistakes in mocks.
Ravi..your advice of taking a nap and thn studying is helping.. hope to see the results in the next mock...
Doing the analysis of the mocks and trying sectional tests from time aimcats.
Planning to revise all the formulas again.
I think discussing last year cat questions would be helpful.