Correct Answer: 144

Solution : Given: $256, K, K, 81$ are in proportion, and $K$ is positive.
Use the formula, Mean proportional = $\sqrt{ab}$ where $a$, and $b$ are the numbers.
According to the question,
$K=\sqrt{81\times 256}$
$\therefore K=9\times 16=144$
Hence, the correct answer is 144.

Correct Answer: Article 21

Solution : The correct option is Article 21.

Article 21 of the Constitution of India guarantees the fundamental right to the protection of life and personal liberty. It states that no person shall be deprived of their life or personal liberty except according to the

Correct Answer: 100

Solution : Given:
HED is coded as 160, and FBG is coded as 84.

Multiply the positional value of HED, to obtain the required code –
H→8; E→5; D→4 
⇒ 8 × 5 × 4 = 160
Thus, HED is coded as 160.
And, FBG is coded

Correct Answer: Himalayas

Solution : The correct answer is the Himalayas.

The Himalayas are young fold mountains, meaning that they were formed in the most recent period of geological history. The Indian and Eurasian Plates interact with one another as they converge, forming the Himalayas.

Correct Answer: Only conclusion I follows

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyze the conclusions –
Conclusion (I): Some Q are M – From the Venn diagram, it is evident that the circles representing Q and M overlap and have

Correct Answer: NEVROD

Solution : Given:
ACCENT is coded as CCATNE.

Divide the letters of the ACCENT into two parts and then write them in the reverse order.
ACCENT→ACC / ENT
Reverse the order of the letters→CCATNE
So, ACCENT is coded as CCATNE.
Similarly, VENDOR→VEN / DOR
Reverse the order

Correct Answer:  Only conclusion II follows

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): Some cars are not slow – From the Venn diagram, it is evident that there is no direct relation between cars and

Correct Answer: 32812

Solution : Given:
GRAY is coded as 718125, and FOMK is coded as 6151311. 

The code is obtained by writing the positional values of the alphabet in the given words.
GRAY→G(7), R(18), A (1), Y(25) = 718125
FOMK→F(6), O(15), M(13), K(11) = 6151311
CBHL→C(3), B(2), H(8), L(12)

Correct Answer: Aunt

Solution : As per the given information the family tree will be as follows –

Here, the quadrilateral represents the male and the circular figure represents the female in the figure.

So, from the above family tree, B is the Aunt of F. Hence the first option

Correct Answer: becomes 4 times

Solution : The correct option is becomes 4 times.

Velocity and momentum are directly related. An object's velocity is twice as high if its momentum doubles, but its mass does not (the object's velocity stays below the speed of light). When the velocity doubles,