Arithmetical Reasoning Questions

Multiplicative inverse is nothing but a reciprocal of a number. 

It is defined as one of a pair of numbers that when multiplied with another number equals the number 1.

Multiplicative inverse or reciprocal of 7 is 

7 x n = 1

=> n = 1/7.

Hence, Multiplicative inverse or reciprocal of 7 is  1/7.

From the trial and error method of division,

201 is divisible by 3

205 is divisible by 5

203 is divisible by 7

Hence, after eliminating three options, remained is 211 and is divisible by only 1 and itself. 

Therefore, 211 is the smallest prime number greater than 200.

The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1. 

All real numbers except 0 have reciprocals.

We know that,

Alternate Exterior Angles Theorem::

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent .

Converse of the Alternate Exterior Angles Theorem ::

Converse of the Alternate Exterior Angles Theorem states that, If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

The worst case complexity of linear search is O(n).

Frequency is what means how many times the event occurs in the same period.