Questions

Indira Gandhi Memorial Tulip garden, previously Model Floriculture Center, is a tulip garden in Srinagar, India. It is the largest tulip garden in Asia spread over an area of about 12 hectares. It is situated on the foothills of Zabarwan Range with an overview of Dal Lake. The garden was opened in 2007 with the aim to boost floriculture and tourism in kashmir valley.

Let the Number be x. 

Given that one third of a Number is 96. 

i.e x = 3 x 96 = 288.

 67% of  x = x×67100=288×67100=192.96

Van't Hoff factor (i) = Observed Colligative PropertyNormal Colligative Property

AxBy1-α→xA+yxα+yB-xyα  

Total Moles = 1-α+xα+yα = 1-αx+y-1

i=1+αx+y-11

⇒α=i-1x+y-1

Non collision can happen only when all the cars move in same direction.

That is either all cars moving in clockwise direction or all cars moving in anti clockwise direction.
P(all cars not colliding)

= P(all cars moving in the same direction)

= P(all cars moving in clockwise direction)  +  P(all cars moving in anticlockwise direction)

= [p(A --> C) x p(C --> B) x p(B --> A)]  +  [p(A --> B) x p(B --> C) x p(C --> A)]

= [1/2 x 1/2 x 1/2] + [1/2 x 1/2 x 1/2]

= 1/8 + 1/8

= 1/4

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