The President of the India is :

Solution
The head ofthe State as well as Government
Which one set of letters when sequentially placed at the gaps in the given letter series shall complete It?
aac – bba – cc – baa – cb –

Solution
a a c/c b b/a a c/c b b/a a c/c b b
If the first four letters of the word ‘INCONSISTENT’are written in reverse order followed by next four written in reverse order and so on, which letter is the 9th in the written order?

Solution
According to question,
Question Figures

Solution
From first figure to second figure half of the shaded portion is deleted horizontally. From second figure to third figure half of shaded portion is deleted vertically. Therefore, from third figure to answer figure half of the shaded portion would be deleted horizontally.

Solution
We know that
1^{2} + 2^{2} + 3^{3} + .... + n^{2}\(=\frac{n(n + 1)(2n+ 1)}{6}\)
∴ 2^{2} + 3^{2} + 4^{2} + + 10^{2}
= (1^{2} + 2^{2} + 3^{2} + + 10^{2}) 1
\(=\frac{ 10(10 + 1)(2\times 10+ 1)}{6}1\)
\(\frac{10 \times 11\times 21}{6}1 = 385  1 = 384\)
If x, y and z are real numbers such that (x 3)^{2} + (y – 4)^{2} + (z 5)^{2} = 0 then (x + y + z) is equal to

Solution
(x  3)^{2}+ (y  4)^{2}+ (z  5)^{2}= 0
⇒ x  3 = 0, Y  4 = 0
[Since squares are alway positive}
and z5=0
⇒ x = 3, y = 4 and z = 5
∴ x + y + z = 3 + 4 + 5 = 12

Solution
Expression
=[(7^{1} 8^{1})^{1} (3^{1}4^{1})^{1}]
\(=\left [ \left ( \frac{1}{7}\frac{1}{8} \right )^{1}\left ( \frac{1}{3}\frac{1}{4} \right )^{1} \right ]\)
\(=\left [ \left ( \frac{87}{56} \right )^{1}\left ( \frac{43}{12} \right )^{1} \right ]\)
\(=\left [ \left ( \frac{1}{56} \right )^{1}\left ( \frac{1}{12} \right )^{1} \right ]\)
= 56  12 = 44

Solution
Expression
2 + 6 + 12 + 20 + 30 + 42 + 56 + 72 + 90 + 110 = 440
Directions: In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word.
Consensus

Solution
The word 'consensus (Noun)' means: an opinion that all members of a group agree with. Look at the aentence :
There is a growing consensus of opinion on this issue.
The word 'unanimity' means :complete agreement about something among a group of people
Hence, the word Consensus and unanimity are synonymous.
Directions: In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word.
Bifurcated

Solution
The word 'Bifurcate (Verb)' means : to divide into two parts. Hence, the words bifurcated and divided into two are synonymous.