## help me in solving these questions

1)Triangle ABC is an acute angled triangle. A transversal intersects the side BC produced at D and AC and AB at points E and F respectively Then (BD / DC) * (CE/EA) * (AF/FB) = ? a.1/3 b.1/2 c.2/5 d.1 e.Not Attempted 2)There are four machines that makes gears for a factory . The fastest machine can make one gear in two hours . The slowest machine makes one gear in 3 hours . which of the following cannot be the value of the average time taken by each to make a gear ? a. 2.2 hours b. 2.3 hours c. 2.6 hours d. 2.68 hours 3)The smallest positive integer which can be expressed as a sum of two different cubes in two different ways is: a.1000 b.729 c.1729 d.1728 4)if a+b+c=0 , where a ? b ? c then [(a2)/(2a2+bc)] +[(b2)/(2b2+ac)] + [(c2)/(2c2+ab)] is equal to a. 4 b. 5 c. 6 d. 7 5)The maximum possible value of y = min(1/2 - 3x2/4 , 5x2/4) for the range 0 < x < 1 is a. 1/3 b. 1/2 c. 5/27 d. 5/16 thanks in advance.

## Hey Sekhar could you please

Hey Sekhar could you please tell the TEST or QBM number so that I can check the question directly from there
Else write the questions properly because when you just copy paste the formatting changes and now one can differentiate between 2 and ^{2}
And mentioning the number ll helps others who ll be also looking for the solution of that question
If you are posting it from other source like TIME/CL then also mention that