MBA Exam Numerical Ability Number System

The product of three natural numbers – N1, N2 and N3 – is twelve times their H.C.F. How many ordered triplets (N1, N2, N3) are possible?

1) 12
2) 15
3) 18
4) 21

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MBA Other Question

Two gun shots are fired at an interval of 24 seconds. A man in a submarine travelling towards the source hears the gunshots at an interval of 22 seconds. Determine the speed of sound in water if the submarine was travelling at 40 m/s.

1) 400 m/s
2) 420 m/s
3) 440 m/s
4) 460 m/s
In Î”ABC, D is the midpoint of BC. E is a point on AC such that AE : EC = 2 : 1 and F is a point on AB such that AF : FB = 3 : 1. Line segments AD and FE intersect at point O. What is the ratio of the area of Î”DOF to the area of Î”DOE?plzz share the approach as well

1) 8 : 9
2) 9:8
3) 3:4
4) 4:3