MBA Exam

Five sockets are aligned in a row. There are black and white plugs to be placed in the sockets. Only one plug fits into a socket, and plugs of the same color are indistinguishable. two black plugs cannt be placed in adjacent sockets. in how many color combos can the plugs be placed in the sockets.

1) 15
2) 8
3) 11
4) 13
5) 12

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MBA Other Question

A circle is drawn inside a trapezium such that it touches all the four sides of the trapezium. The line joining the midpoints of the non-parallel sides divides the trapezium in two parts with areas in the ratio 3 : 5. If the lengths of the non-parallel sides are 6 cm and 10 cm, then what is the length (in cm) of the longer parallel side of the trapezium? kindly share approach humble request

1) 8
2) 10
3) 12
4) 14
An isosceles triangle is folded at the mid-point of its unequal side so that the ratio of one of the equal sides to the unequal side in the original triangle remains the same in the newly obtained isosceles triangle. If area of the original triangle is 4 sq. units, then find the unequal side of the new triangle.

1) root (2)
2) 2
3) 2*sqrt(2)
4) 3*sqrt(2)