Quant by Arun Sharma

MBA CAT 2022
1234
Q)Find the number of divisors of 1080 excluding the throughout divisors,which are perfect squares..
Options...: 28/29/30/31..

I am getting answer as 29..While the book gives 28...
Help...

ans should be 28...
number of divisor of 3^3*2^3*5=32(you are taking '1' into account in dis formula')
perfect sq'a=1,3^2,2^2,3^2*2^2
32-4=28
1235

k..1 is also a perfect square...

missed it..thanks...

1236

hey puys i am getting pissed with this question pls help me crush this out....
here goes the ques....

Circles are drawn with four vertices as the centre and radius equal to the side of a square. If the square is formed by joining the mid points of another square of side 2root(6), find the common area to all the four circles.


This question can be found in arun sharma pg:345 (chapt -11 , LOD-2 mensuration q.no. 43)

Kindly post the method used...i got the diagram but m not able to get the required area....heeeeeelp

1237
hey puys i am getting pissed with this question pls help me crush this out....
here goes the ques....

Circles are drawn with four vertices as the centre and radius equal to the side of a square. If the square is formed by joining the mid points of another square of side 2root(6), find the common area to all the four circles.


This question can be found in arun sharma pg:345 (chapt -11 , LOD-2 mensuration q.no. 43)

Kindly post the method used...i got the diagram but m not able to get the required area....heeeeeelp


Dint understand whether the side of the square u have mentioned is 2sqrt(6) or just sqrt(6).. Can you please clarify ??
1238
manu hoysala Says
Dint understand whether the side of the square u have mentioned is 2sqrt(6) or just sqrt(6).. Can you please clarify ??

2 sqrt of (6)
1239

hey i am getting the answer as pi/12 -{(1-squareroot(3))/2}
:shock::shock:

1240
hey i am getting the answer as pi/12 -{(1-squareroot(3))/2}
:shock::shock:

how did u get it? wats ur approach...pls share...:)
1241
shanks4mba Says
how did u get it? wats ur approach...pls share...:)

@shanks:
I've already posted the method that i've applied in this link:
http://www.pagalguy.com/discussions/official-quant-thread-for-cat-2009-25035696
Kindly tell me if the answer is right or not!!
cheers
1242

Hi Guys,

Could any of you suggest me the books to be followed for CAT exam (any e-books/online resources) ? I've over 3+ yrs of exp in s/w(Banking Domain). Looking fwd for guidance from CAT 2008 aspirants.

Thanks,
tejes

1243
Hi Guys,

Could any of you suggest me the books to be followed for CAT exam (any e-books/online resources) ? I've over 3+ yrs of exp in s/w(Banking Domain). Looking fwd for guidance from CAT 2008 aspirants.

Thanks,
tejes


Hi Tejes,

Please continue here:

http://www.pagalguy.com/discussions/calling-all-cat-2009-puys-25034329
http://www.pagalguy.com/discussions/prepare-for-online-cat-2009-with-tanveer-25039417

hope that helps.
1244
@shanks:
I've already posted the method that i've applied in this link:
http://www.pagalguy.com/discussions/official-quant-thread-for-cat-2009-25035696
Kindly tell me if the answer is right or not!!
cheers

hey thnxx a ton for the sol...your method and ans is rt:)
but how did u get angle of sector as 30?
1245

Guys Help.....Find the Units digit of these...

1)(173)^45 * (152)^77 * (777)^999
Options are-2,4,6,8
I am getting the Answer as 2,by applying the Euler Theorem in the middle one as the first and third term will reduce to one.Hence 2^5 % 10 wud give 2...But the Answer given is 8...

2)55^75 * 93^175 * 107^275
Options are 7,3,5,0
By applying Euler Theorem,I m getting the Remainder as 5,Moreover,it seems it is appropriate to get 5 at units place becoz of 55 term..But again much to the surprise,the answer is 7....

1246
Guys Help.....Find the Units digit of these...

1)(173)^45 * (152)^77 * (777)^999
Options are-2,4,6,8
I am getting the Answer as 2,by applying the Euler Theorem in the middle one as the first and third term will reduce to one.Hence 2^5 % 10 wud give 2...But the Answer given is 8...

2)55^75 * 93^175 * 107^275
Options are 7,3,5,0
By applying Euler Theorem,I m getting the Remainder as 5,Moreover,it seems it is appropriate to get 5 at units place becoz of 55 term..But again much to the surprise,the answer is 7....



1)(173)^45 * (152)^77 * (777)^999
Options are-2,4,6,8


here 173^45 cyclicity of 3 =3,9,7,1 45/4=reminder=1 so last digit=3

152^77 last digit=2
777^999 last digit=3

so last digit=3*2*3=18 last digit= 8

2)55^75 * 93^175 * 107^275
Options are 7,3,5,0
By applying Euler Theorem,I m getting the Remainder as 5,Moreover,it seems it is appropriate to get 5 at units place becoz of 55 term..But again much to the surprise,the answer is 7....

here 55 so last digit always 5 just need to care no any power of 10

here ans is 5
1247

k..got it....
Was taking the Euler number of 10 as 9 !!!..I m cursing Myself...

1248

Hello,
Just created account on PG and also in the starting of my CAT 09 prep :).Some queries frm Arun sharma:
1.Unit digit of (12^55/3^11)+(8^48/16^1 8 )--Number system --LOD 2.
I am getting as 0 , but answer is 4
2.Greater among--111^4 and 109*110*112*113---Number sys -LOD2
Also frm where can I study the euler's theorem being discussed here?
Do respond!!

1249
hello,
just created account on pg and also in the starting of my cat 09 prep :).some queries frm arun sharma:
1.unit digit of (12^55/3^11)+(8^48/16^1 8 )--number system --lod 2.
I am getting as 0 , but answer is 4
2.greater among--111^4 and 109*110*112*113---number sys -lod2
also frm where can i study the euler's theorem being discussed here?
Do respond!!


1. (12^44)*(4^11) + 2^72 = 4 + 6 = last digit is 0
2. 111^4 will be greater...there is a theorem which says that if sum of quantities is equal, product is greatest when quantities are equal
1250

Also frm where can I study the euler's theorem being discussed here?
Do respond!!


Check out Pg-33/34 of Concepts named Sticky in Quantitative Section here...
1251
Hello,
Just created account on PG and also in the starting of my CAT 09 prep :).Some queries frm Arun sharma:
1.Unit digit of (12^55/3^11)+(8^48/16^1 8 )--Number system --LOD 2.
I am getting as 0 , but answer is 4
2.Greater among--111^4 and 109*110*112*113---Number sys -LOD2
Also frm where can I study the euler's theorem being discussed here?
Do respond!!


1)3^44*4^55+16^6*4^24

by cyclicity of terms,

1*4+6*6

so,it comes out to be 0.

2)109*110*112*113

(111^2-1)(111^2-4)

111^4-5*111^2+4

so,it should be lesser than 111^4

For Euler theorem,

Euler's theorem - Wikipedia, the free encyclopedia
1252
hey thnxx a ton for the sol...your method and ans is rt:)
but how did u get angle of sector as 30?

If u see the sides of the triangle formed are in the ratio 1:root3:2.....
from this angle of the triangle can be calculated as 60deg..therefore angle of the sector is 30 deg
1253

Q)
Find the number of numbers between 100 to 400 which are divisible by either 2,3,5,7....

Plz check my answer..i am getting 294...