Others Maths Puzzle

Ques: A metro's engine runnin with the speed of 42 km/hr without a compartment attached with. The speed of reduction is
directly proportional to square root of no. of compartments attached to it. I f there are 9 compartments are attached with the
engines the speed of the metro is 24 km/hr. How many maximum compartments can be attached to the metro.
a) 48
b) 36
c) 39
d) 49

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Others Other Question

if the 3 real roots of the equation

x^3 + (1/sqrt p + sqrt q)x^2 + (1/sqrt p - sqrt q)x - 1 =0

are the second,fifth and eight terms of a gp,then which of the followings is true

q=0
p+2q=0
q+3p=0
p+q=0
Find the 202nd digit from the right in the product of 4! x 5! x 6!...............71!?