The input voltage V_{DC} of the buck-boost converter
shown below varies from 32 V to 72 V. Assume that
all components are ideal, inductor current is
continuous, and output voltage is ripple free. The
range of duty ratio D of the converter for which the
magnitude of the steady state output voltage remains
constant at 48 V is

So, this logic level o/p is showing the functionality of NOR-gate.

Factorization of 162 is 2×3×3×3×3 y×162 is a perfect cube y×2×3×3×3×3 Perfect cube For perfect cube 2's & 3's are two more required each.

Out of six people, 3 place definitely occupied by right handed people as atleast 2 women are there so these two will sit adjacently. Now as only one seat is left it will be occupied by a left handed man because on right side of this seat is sitting an right handed man.

Therefore, answer should be 2 women.

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25m intervals in this plot. If in a flood, the water level rises to 525m. Which of the villages P,Q,R,S,T get submerged?

The given contour is a hill station, the peak point of this hill station is P, it is under a contour of 550. At floods, the water level is 525m. So the village of R, S and T are under a contour of 500. Therefore these villages are submerged.

The total instantaneous power flowing form the source to the load is

As there are 4 people A,G,N,S and 4 colours so without any restriction total ways have to be 4×4 = 16 Now, Arun⟶dislikes Red and Shweta⟶dislikes white So 16-2=14 ways