Official Quant thread for CAT 2013

MBA CAT 2022
381

w1,w2.......w7 are 7 positive integral values such that by attaching the cofficients of +1, 0 and -1 to each value available and adding the resultant values,any number from 1 to 1093 could be formed if w1 w2 are in ascending order thn wht is the value of w3?

a 10 b 9 c 0 d 1?

2)find the remainder when 50^51^52 is divided by 11?

please explain both question with concept...and approach.

382
@IIM-A2013 said:
2)find the remainder when 50^51^52 is divided by 11?please explain both question with concept...and approach.
51^52 / 10 => 1

thus, remainder => 6 ?
383
@rkshtsurana said:
ITS 999
for 999 , we make bunches of 3 digits...and add dem and check remainder
so 9 *111 = 999/999 reminder 0
and please let me now the rules for 666 and 333 and 111.
thankyou
384
@IIM-A2013 said:
what is the highest 3-digit number that divides the number 11111...1(27 times) perfectly without leaving any remainder?please tell the procedure?thanks in advance
999 ?
385
@IIM-A2013 said:
and please let me now the rules for 666 and 333 and 111.thankyou
there are not specific rule for them..but for 9s we have..like 99 make bunch of two,, 9999 make bunch of four...otherwise theres alwyas EULER
386
@gs4890 said:
51^52 / 10 => 1

thus, remainder => 6 ?
i don't know about euler concept please explain? from where you get 10 divisor?
387
@IIM-A2013 said:
and please let me now the rules for 666 and 333 and 111.thankyou
same rule for 333 & 111 as well.

for 666 , if there is 2 in the numerator cancel it up , use 333 rule & multiply back 2 again :)
388
@rkshtsurana said:
there are not specific rule for them..but for 9s we have..like 99 make bunch of two,, 9999 make bunch of four...otherwise theres alwyas EULER
thank you but i don't know euler please explain?
389
@IIM-A2013 said:
i don't know about euler concept please explain? from where you get 10 divisor?
scroll few starting pages..Brooklyn has shared reminders concepts pdf
390
@IIM-A2013 said:
thank you but i don't know euler please explain?
@IIM-A2013 said:i don't know about euler concept please explain? from where you get 10 divisor?
scroll few starting pages..Brooklyn has shared reminders concepts pdf
391

@rkshtsurana

ok thank you i will check

392
@IIM-A2013 said:
i don't know about euler concept please explain? from where you get 10 divisor?
http://www.pagalguy.com/news/remainders-reloaded-euler-fermat-wilsons-theorems-cat-2011-a-19067

refer the link

p.s - nice to see that you have started 2013 prep at such early stage.

you can learn a lot from all your seniors tagged below -
@rkshtsurana @krum @vijay_chandola @Brooklyn & many others - Keep poking to clarify your doubts :P

393

@gs4890

thank you ...

i have to crack cat2013. i will ask doubt.thankyou for link.

i am studying arun sharma quant but he has not given any approach for lod 3 question?

and please tell me how sould i prepare for cat2013

394
@gs4890 dnt be modest ahhhhh apna naam bhi daal de
395

@rkshtsurana

sorry if u think but i have no option i have to crack .

please help me in doubts.

its just a sincere request.

i hope u will understand

396
@IIM-A2013 said:
@gs4890thank you ...i have to crack cat2013. i will ask doubt.thankyou for link. i am studying arun sharma quant but he has not given any approach for lod 3 question?and please tell me how sould i prepare for cat2013
For ALL CAT ASPIRANT 2013
QUANT :-

1) Arun sharma is a nice book to start
2) Be regular on Quant thread becuase the approaches and ques u ll see here not be available in any book or coaching institue. Like i learn Inverse Eluer, multinomial and many more.
3) Solve the question from ur material as when the topic is completed and also sectional tests
4) Try giving mocks of every institute jaha se mile CL TIME TF IMS and many more
5) Prep is an added advantage
6) improve ur calculation speed. Try and learn Vedic maths Fundas
7) do different DI reasoning as well as calculative. This time it hit hard on us
8) grey areas like functions , trigo do it from IIT books
9) FB pe CAT PREP group he, join that too. its sessions are also nice
397
@rkshtsurana said:
This time it hit hard on us
guru on us kab se :wow: tum to issi saal khat khata rahe ho IIM ke darwaje
398
@gs4890 said:
guru on us kab se tum to issi saal khat khata rahe ho IIM ke darwaje
Bhai vo din yaad mat dila yaar....seriously it was too bad . nhi hga is saal..lets wait for the JUDGEMENT DAY
399
@IIM-A2013 said:
a 111 b 333 c 666 d 999
isnt it obvious 1111...11 27 times sum =27 and it is divisible by 9,3,37
for 37 form pairs of 3 from the right make pairs of 3 alternate +/- and the difference will come zero, same as 1001. this same rule will apply for all numbers which completely divide 1001,
pairs of 3 coz 1001=10^3+1
same if you have to chk for 999 etc 10^n-1 form pairs of n digits and not just 999n-1 times but same for all numbers that completely divide 999n-1 times
SO THE answer here should be 999. i hope you get the concept thats more important
400
how many terms in the expansion ( 3^1/3 + 5^1/5) ^100 are integers ?