@milestogo3 yes..plzz explain
@Ashmukh said:@milestogo3 yes..plzz explain
Total Subsets is given by 2^n = 2^11
Odd Subsets = 2^6 (6 odd numbers)
So, Subset Containing at least one even = 2^11 - 2^6
@Ashmukh said:How many subsets of {1, 2, 3 €Ś 11} contain at least one even integer?(1) 1900 (2) 1964(3) 1984 (4) 2048
total=11c0+11c1+11c2+...+11c11=2^11
only odd = 6c1+6c2+..+6c6=2^6-1
at least 1 even= total - only odd - null = 2^11-2^6+1-1=1984
only odd = 6c1+6c2+..+6c6=2^6-1
at least 1 even= total - only odd - null = 2^11-2^6+1-1=1984
@Brooklyn said:small r=3-2rt(2)shaded region= 1- (pi/4)- pi*r^2
Bhai ye wala kaise kia th, batadoge.
@Torque024 said:Bhai ye wala kaise kia th, batadoge.
look take radius of small circle = r
big circle = R = 1
now diagonal of square= rt(2)
now: let the vertex the smaller circle =A
and small circle touch square at points= D,E
now centre of circle =O
so AD=AE=r as DAO=45
this makes AO=r*rt(2)
so diagonal of square = R + r*rt(2)+r
equate an solve 😃
@Brooklyn said:look take radius of small circle = rbig circle = R = 1now diagonal of square= rt(2)now: let the vertex the smaller circle =Aand small circle touch square at points= D,Enow centre of circle =Oso AD=AE=r as DAO=45this makes AO=r*rt(2)so diagonal of square = R + r*rt(2)+requate an solve
/_DAO=45 kaise hua? and ye vertex point of tangency of two circles hai na? and O chote circle ka center hai?
Diagram bana do, confusion ho rhi.
Diagram bana do, confusion ho rhi.
@Torque024 said:/_DAO=45 kaise hua? and ye vertex point of tangency of two circles hai na? and O chote circle ka center hai? Diagram bana do, confusion ho rhi.
@Torque024 said:/_DAO=45 kaise hua? and ye vertex point of tangency of two circles hai na? and O chote circle ka center hai? Diagram bana do, confusion ho rhi.
@Brooklyn said:
Hey Guys !!! Can anyone giv me gud PG links 4 solving problems on number systems & numbers theory !!!
@arunrajput1007 said:Hey Guys !!! Can anyone giv me gud PG links 4 solving problems on number systems & numbers theory !!!
goto number system thread ....search for it
Dude I searched a lot bt it gives me official thread for quant, which has a mixed question from all topics, i can't found d specific numbers theory thread !!! Can anyone search 4 me...
& paste d link.... Thanx in advance !!!
Hey Audi The thread has only 1 page & few replies !!!
yes thats bcoz every1 posts the Qs here only... so if u have any doubt, post them here coz this is the most active thread...
if u want tp prepare the topic, use pagalguy prep or previous years' number system threads that have been closed.
@arunrajput1007
@arunrajput1007
Thanx audi !!!
@arunrajput1007 said:Thanx audi !!!
u r most welcome buddy!! one more suggestion. Use REPLY or QUOTE tabs so that one can know u have mentioned them in ur rply... Using REPLY is better coz it wont clutter the thread with repetitions...
P.S. its audiQ7!! 
@Torque024 said:Bhai ye wala kaise kia th, batadoge.
R=1, also area of square = 1cm2.
Area of Bigger circle= 0.785cm2.
radius of smaller circle is 0.18 
!
! To calculate the smaller radius, see here .. http://www.pagalguy.com/posts/4017015
area will be 0.101cm2. so 1-0.785-0.101 =~ 0.11cm2
@quant89 said:how many four digit numbers of the form pqrs are there with p189, 199, 126, 303ans is 126ca an1 pls give an illustrative approach i couldn't unddderstand the approach given in the book???
Question incomplete lag rha hai bahen. What "with p"?