Assuming the truth of P(k) and proving P(k + 1) to be true, for some integer k is known as the Inductive Step. Option 1) Basic Step Option 2) Inductive Step Option 3) Hypothesis step Option 4) All of the these

Assuming the atoms of an element to be hard spheres of radius 1.00 Å in c.c.p. or h.c.p., the atomic volume (defined as the ratio of atomic weight of the element to its density) calculated per atom is.

Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down to the centre of the earth if it weighed $250 \mathrm{~N}$ on the surface?

Now in each of the following questions, assuming the three statements to be true, state which of the two conclusions I and II given below them is definitely true.

Statements: T copyright M, M = P, P copyright R

Conclusions: I. R @ T II. T copyright R

Options:

1. If only conclusion I is true
2. If only conclusion II is true
3. If either I or II is true
4. If neither I nor II is true
5. If both I and II are true

An umbrella has 8 ribs which are equally spaced. Assuming the umbrella to be a flat circle of radius $42 \mathrm{~cm}$, find the area in $\mathrm{cm}^{2}$ between the two consecutive ribs of the umbrella. (Take $\pi=\frac{22}{7}$)

A $693 \mathrm{~cm}^{2}$ B $893 \mathrm{~cm}^{2}$ C $862 \mathrm{~cm}^{2}$ D $993 \mathrm{~cm}^{2}$

Write logical expressions corresponding to the following statements in Python and evaluate the expressions (assuming variables num1, num2, num3, first, middle, last are already having meaningful values):

a) The sum of 20 and -10 is less than 12 .

b) num3 is not more than 24 .

c) 6.75 is between the values of integers num 1 and num2.

d) The string 'middle' is larger than the string 'first' and smaller than the string 'last'.

e) List Stationery is empty.