Correct Answer: 166

Solution : According to the question
Number of small spheres = $\frac{\text{Volume of solid sphere}}{\text{Volume of small sphere}}$
= $\frac{\frac{4}{3}\pi (11)^{3}}{\frac{4}{3}\pi (2)^{3}}$
= $\frac{1331}{8}$
= $166.375 \approx 166$
Hence, the correct answer is 166.

Correct Answer: 35412

Solution : Given:
1. Nailed   2. Nailgn   3. Magazine   4. Monkey   5. Mend

Step 1: The first letter of each word is – N, N, M, M, M. Based on the alphabetical order of these letters, we can arrange them – Magazine, Monkey, Mend, 

Correct Answer: 30

Solution : Given:
21 : 40 :: 16 : ? :: 26 : 50

Subtract 1 from the number given in the first term, and then multiply the resultant by 2, to get the second term –
Like, 21 : 40→(21 – 1) × 2 = 20

Correct Answer: like meeting people

Solution : The first option is correct.

Explanation: The verb like is followed by the gerund form of the verb when expressing enjoyment or preference for an activity. In this case, the correct construction is like meeting, where meeting is the gerund form of

Correct Answer: 42

Solution : Given:

Multiply the third number and the fourth number of the column by 1.5 to obtain the first and the second number.

In first column; 12 × 1.5 = 18; 16 × 1.5

Correct Answer: –4

Solution : Given: $x$ and $y$ are real numbers.
The expression is $4 (x -2)^2+ (y -3)^2-2 (x-3)^2$
Use the algebraic identity, $(a-b)^2=a^2+b^2-2ab$
For the least possible value, substitute $(y-3)^2=0$
⇒ $4 (x-2)^2+0-2 (x-3)^2$
$=4(x^2+4-2x)-2(x^2+9-6x)$
$=4x^2+16-8x-2x^2-18+12x$
$=2(x^2-1-2x)$
$=2(x^2+1-2x-2)$
$=2[(x-1)^2-2]$
For the least possible value, substitute $(x-1)^2=0$.
⇒

Correct Answer: Blood

Solution : The correct answer is Blood.

The rapid generation of aberrant white blood cells is the cause of leukaemia, a type of cancer that can be seen in the bone marrow and blood. These aberrant white blood cells hinder the bone marrow's capacity to generate red

Correct Answer: 377

Solution : The HCF of the two numbers is 29, and the other two factors of their LCM are 15 and 13.
So, numbers can be (29 × 13) and (29 × 15) i.e. 377 and 435
⇒ Smaller number = 377
Hence, the correct answer is

Correct Answer: 15

Solution : $\frac{\sqrt{0.6912}+\sqrt{0.5292}}{\sqrt{0.6912}-\sqrt{0.5292}}$
$=\frac{\sqrt{6912}+\sqrt{5292}}{\sqrt{6912}-\sqrt{5292}}$
$=\frac{\sqrt{12×576}+\sqrt{12×441}}{\sqrt{12×576}-\sqrt{12×441}}$
$=\frac{\sqrt{576}+\sqrt{441}}{\sqrt{576}-\sqrt{441}}$
$=\frac{24+21}{24-21}$
$=\frac{45}{3}$
$=15$
Hence, the correct answer is 15.

Correct Answer: volcanic activities

Solution : The correct answer is volcanic activities.

A batholith is a large body of igneous rock formed beneath the Earth's surface by the intrusion and solidification of magma. It is a discordant intrusion. It cools very slowly resulting in a coarse-grained structure. It is