Verbal Reasoning - Mental Ability Questions

Complementary angles are those whose sum is 90.

Given here, is a right angled triangle, where anfle C is 90 deg. In this, sum of Angles A + C = 90, since, sum of angles in a right angled triangle = 180, angle C = 90 and

hence sum of A + B = 180 - C = 180 - 90 = 90.

Hence, the pair of cimplementary angles in the given triangle = Angle A + B.

The sequence in first column is x 5. Thus, 1 x 5 = 5,  5 x 5 = 25,  25 x 5 = 125.
The sequence in third column is x 2. Thus, 7x 2 = 14,  14 x 2 = 28,  28 x 2 = 56.
The sequence in second column is x 4.
.'. Missin number = 12 x 4 = 48.

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.