There are 10 stations on a circular path. A train has to stop at 3 stations such that no two stations are adjacent. The number of such selections must

Correct Answer - D Let the number of green socks be `x gt 0`. E: Two socks drawn are of the same color implies P(E) = P(R R or B B...

Correct Answer - B Relative velocity of the bird `=25-(-5)` `=30 m//s` Distance =210m `therefore=("Distance")/("velocity")=(210)/(30)=7` sec

Correct Answer - D `vecV_(TG)=54xx(5)/(18)=15m//s=15hatj` `vecV_(MT)=-18xx(5)/(18)=-5m//s=-5hatj` `vecV_(MT)=vecV_(MG-vecV_(TG)` `vecV_(MG)=vecV_(MT)+vecV_(TG)=-5hatj+15hatj` `=10hatj=10m//s` along north

Correct Answer - 20 cm

Correct Answer - D `(d)` `a_(2)=(a_(1)+a_(2))/(2)` `a_(3)=(a_(2)+a_(4))/(2)` `a_(1)=(a_(2)+a_(2012))/(2)` `a_(2012)=(a_(2001)+a_(1))/(2)` Now `a_(2)+a_(4)+…+a_(2012)=3018`…….`(i)` `2a_(2)+2a_(4)+..+2a_(2012)=6036` `:.a_(1)+a_(2)+a_(3)+a_(5)+...+a_(2011)+a_(1)=6036` `:.2(a_(1)+a_(3)+...+a_(2011))=6036` `:.a_(1)+a_(3)+...+a_(2011)=3018`.........`(ii)` By adding `(i)` and `(ii)` we get `a_(1)+a_(2)+a_(3)+...+a_(2012)=6036`

Correct Answer - A `(a)` The other five letters (other than `G`, `R`, `L`, `A`, `S`, `N`) in `11` places can be arranged in `"^(11)P_(5)` ways. Then three remains six places....

Correct Answer - A `(a)` First arrange `12` persons `A_(4),A_(5),….A_(15)` in `"^(15)P_(12)` ways There remains `3` places. Keep `A_(1)` in the first place and arrange `A_(2)`, `A_(3)` in the remaining two...

The diagonal of the parallelogram made by two vectors as adjacent sides not passing through common point of two vectors represents triangle law of vector addition.

Correct Answer - 81,27

Correct Answer - (i)`t=(L_(1)+L_(2))/(v_(1)+v_(2))` (ii)`d_(1)=v_(1)xx((L_(1)+L_(2))/(v_(1)+v_(2)))`,d_(2)=v_(2)xx((L_(1)+L_(2))/(v_(1)+v_(2)))`