@audiq7 said:what is the smallest integer n for which any subset of (1,2,3,4....20) of size n must contain two numbers that differ by 8?
13 i think should be the ans
@ScareCrow28 said:In a triangle PQR, PQ = QR, S and T are points on PR and PQ respectively such that RQ = QS = ST = TP. Then /_ PTS (in degrees) lies in the range(a) (75, 90) (b) (105, 120) (c) (135, 150) (d) (120, 135) (e) none of the foregoing
NOT? EDIT
@wovfactorAPS said:pls.check the question againis it PQ=PR by any chance?S doesnt exist as per the given condition..atleast iam getting so..
@maddy2807 said:@ScareCrow28 please explain the triangle question?
Take a triangle PQR...
make points as given in the question.. take /_PRQ = x, /_RPQ = z
You will have to make equations..you will find that.. x=3z
Now in triangle PQR.. PQR+QRP+RPQ = 180
=> 2z+a(suppose) + z+3z = 180
=> a= 180-6z >= 0 ...=> z
Also.. /_PTS = 180-2z => /_PTS >= 120 ... I did it like this..
Please check
Sorry for late reply..was not able to post for sometime 
@ScareCrow28 how u are able to mark points S and T. i did not understand. please provide a sketch if possible.
@ScareCrow28 said:Take a triangle PQR...make points as given in the question.. take /_PRQ = x, /_RPQ = z You will have to make equations..you will find that.. x=3zNow in triangle PQR.. PQR+QRP+RPQ = 180=> 2z+a(suppose) + z+3z = 180=> a= 180-6z >= 0 ...=> zAlso.. /_PTS = 180-2z => /_PTS >= 120 ... I did it like this..Please check@audiq7Sorry for late reply..was not able to post for sometime
AS per the qustion PQ=QR
so /_PRQ=/_RPQ
how did u get x=3z?
so /_PRQ=/_RPQ
how did u get x=3z?
@wovfactorAPS said:AS per the qustion PQ=QRso /_PRQ=/_RPQhow did u get x=3z?
I have checked the question..PQ=PR
I am extremely sorry this 😞 In question itself it was given wrong..so i am extremely sorry for this confusion!
@ScareCrow28 said:Consider two different cloth cutting processes. In the first one, n circular cloth pieces are cut from a square cloth piece of side s in the following steps: the original square of side s is divided into n smaller squares, not necessarily of the same size; then a circle of maximum possible area is cut from each of the smaller squares. In the second process, only one circle of maximum possible area is cut from the square of side s and the process ends there. The cloth pieces remaining after cutting the circles are scrapped in both the processes. The ratio of the total scrap cloth generated in the former to that in the latter is: (∏ = circumference of the circle/diameter of the circle)(a) 1:1 (b) √2:1 (c) n(4-∏)/(4n-∏) (d) (4n-∏)/n(4-∏) (e) 1:√2
1:1....go with n=4(all equal)...
@ScareCrow28 yar koi to gadbad ho rahi hai... dekho: draw the fig, let P=R=x. so Q=180-x......(1)
Now put points S and T. so now R=QSR=x. so SQR=180-x.
similarly, PTS=180-x.
also, STQ=TQS=x
but, Q=TQS+SQR=x+180-x=180.............(2)
so frm 1 and 2,
180-x=180 
where i m gng wrng??
@ScareCrow28 said:Consider two different cloth cutting processes. In the first one, n circular cloth pieces are cut from a square cloth piece of side s in the following steps: the original square of side s is divided into n smaller squares, not necessarily of the same size; then a circle of maximum possible area is cut from each of the smaller squares. In the second process, only one circle of maximum possible area is cut from the square of side s and the process ends there. The cloth pieces remaining after cutting the circles are scrapped in both the processes. The ratio of the total scrap cloth generated in the former to that in the latter is: (∏ = circumference of the circle/diameter of the circle)(a) 1:1 (b) √2:1 (c) n(4-∏)/(4n-∏) (d) (4n-∏)/n(4-∏) (e) 1:√2
1:1
I hope you will forgive me for this commotion @audiq7 said:what is the smallest integer n for which any subset of (1,2,3,4....20) of size n must contain two numbers that differ by 8?
is it 9 by any chance..???
@nick_baba said:is it 9 by any chance..???
Its not given atleast. Absolute value is given
hence it'll be 13
hence it'll be 13
how many different seven digit no.s are there such that the sum of all the digits is even??
@audiq7 said:bhai the ans is 13
bhai wo to maine dekha earlier posts me..but kuch clear nai hai...?? why cant it be 9??
@nick_baba said:bhai wo to maine dekha earlier posts me..but kuch clear nai hai...?? why cant it be 9??
Take (1,2,3,4,5,6,7,8,17)----Difference of no two is=8
@audiq7 said:how many different seven digit no.s are there such that the sum of all the digits is even??
Is the answer a very big number?? I mean what are the options like..because i am getting a very big number Something like..7C6+9C6+11C6...
Something like..7C6+9C6+11C6...