MBA Exam

How many 5 digit numbers are divisible by 3 and contain digit 6?

1) 7499
2) 8776
3) 12503
4) None of the above.

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MBA Other Question

Let I be the set of natural numbers such that each element in I(i) is a three digit number which leaves a remainder of 2 when divided by 4.(ii) is divisible by 11 but not by 13.How many elements belong to I?
p.s. share your explaination as well

1) 17
2) 15
3) 13
4) 19
5) none of these
ABC is a right angled isosceles triangle, right angled at C. D is midpoint of AB.If a point X is chosen randomly on the perpendicular sides of ABC, what is the probablity that 4*DX > sqrt(5)*BC ? (please write the approach too)

1) 1/3
2) 1/1.414
3) .5
4) .25