MBA Exam

In a Km race,if A gives B a 50 m start,then B wins by 5 sec, but if A gives b a 5 sec start, A wins by 30m. Find the time that A take to run 1km...? (plz give a detailed answer)

1) 500 sec
2) 250 sec
3) 240 sec
4) 480 sec

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MBA Other Question
Pls give explanation from differentiation method -CAT 04 = 53. Let f(x) = ax 2 – b| x|, where a and b are constants. Then at x = 0, f(x) is

1) 1. maximised whenever a > 0, b > 0
2) 2. maximised whenever a > 0, b < 0
3) 3. minimized whenever a > 0, b > 0
4) 4. minimized whenever a > 0, b < 0
 If the sum of 101 distinct terms in arithmetic progression is zero, in how many ways can three if these terms be selected such that their sum is zero ?

1) 50
2) 1250
3) 1200
4) 25