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Directions For questions 1 to 6: Answer the questions independently of each other.
1. A chemical plant has four tanks (A, B, C and D) each containing 1000 litres of a chemical. The chemical is being pumped from one tank to another as follows:
From A to B @20 litres/minute From C toA@ 90 litres/minute
From A to D @ 10 litres/minute From C to D @ 50 litres/minute
From B to C @ 100 litres/minute From D to B @ 110 litres/minute
Which tank gets emptied first, and how long does it take (in minutes) ,) get empty after pumping starts?
(a) A, 16.66
(b) C,20
(c) D,20
(d) D,25
Ans: (C)
4. What is the distance in em between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm?
(a) 1 or 7
(b) 2 or l4
(c) 3 or 21
(d) 4 or 28
Ans: (D)
5. For which value of k does the following pair of equations yield a unique solution for x such that the solution is positive?
x2-y2=0
(x-k)2+y2=1
(a) 2
(b) 0
(c) √2
(d) -√2
Ans: (c)
6. If x = (163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of
(a) 0
(b) 1
(c) 69
(d) 35
Ans: (A)