Arithmetical Reasoning Questions

We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2

Hence, the 49th term is -2.

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

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.

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.

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

We all know about BODMAS rule, by using that

3x3x3+3+3/3

= 3x3x3+3+1

= 27+3+1

= 27 + 4

= 31

Hence,  3x3x3+3+3/3 = 31.