Analogy

As, $25: 18$

$ 25-(2+5)=25-7=18 $

And $49: 36$

$ 49-(4+9)=49-13=36 $

Similarly, 37 : 27

$ 37-(3+7)=37-10=27 $

Hence, option (d) is the correct answer.

As, barometer is an instrument which is used to measure pressure. Similarly, multimeter is used to measure electricity. Hence, option (d) is the correct answer.

As $(112,327,215)$

$ 112+215=327 $

And, $(98,254,156)$

$ 98+156=254 $

Similarly, $(126,268,142)$

$ 126+142=268 $

Hence, option (c) is the correct answer.

As, SPAM $=36$

$ \begin{gathered} 4 \times 9=36 \\ 4=\text { Number of letters } \end{gathered} $

And JUG = 27

Number of letters $=3$

$ 3 \times 9=27 $

Similarly, $\mathrm{FROCK}=45$

Number of letters $=5$

$ 5 \times 9=45 $

Hence, option (b) is the correct answer.

To solve the problem, we need to identify the relationship between the pairs of numbers.

For the pair 19: 12, the relationship is as follows:

$ (12 \times 2) - 5 = 19 $

To find the number related to 23 using the same pattern, we set up the equation:

$ (x \times 2) - 5 = 23 $

Solving for $ x $:

Add 5 to both sides:

$ 2x = 23 + 5 = 28 $

Divide by 2:

$ x = \frac{28}{2} = 14 $

Thus, the number related to 23 following the pattern is 14.

We can solve this by identifying the classification of each animal:

A bat is a mammal.

Similarly, spiders belong to the phylum $\text{Arthropoda}$ (spiders are arachnids, which are part of the arthropods).

Thus, just as a bat is a type of mammal, a spider is a type of arthropod.

The correct answer is: Option B, Arthropoda.

The relationship in the pair "Grapes – Bunch" is that the second word is the collective noun used to describe a natural grouping of the first. Grapes naturally grow in clusters known as a bunch.

Looking at the options:

Tree – Forest

A forest is composed of many trees. While this is a collective grouping, the term “forest” refers to a large area covered with trees rather than the specific natural grouping of individual items.

Sheep – Herd

A herd is the collective noun for sheep. In the same way that grapes are naturally grouped together in a bunch, sheep are often grouped together in a herd.

Flower – Garden

A garden is an area where flowers are planted, but it’s more of a designed space rather than a natural cluster like a bunch of grapes.

Star – Galaxy

A galaxy is a massive collection of stars. Although similar in the sense of being a grouping, galaxies pertain to celestial bodies and are on a completely different scale and context.

Since the relationship in “Grapes – Bunch” is based on a naturally occurring collective noun, the pair that fits best is:

$\text{Sheep – Herd}$

Thus, the correct answer is Option B.

The correct answer is Option A: inert gas. Here's why:

The question is asking about the relationship between elements based on their position in the periodic table.

Flourine (F) is a member of the halogen group (Group 17). Halogens are highly reactive nonmetals.

Helium (He) is a member of the noble gas group (Group 18). Noble gases are known for being extremely unreactive, hence the name "inert gases."

So, the relationship is that both Flourine and Helium are in the same column of the periodic table, indicating they share similar chemical properties.

Let's look at why the other options are incorrect:

Option B: Gas: While both Fluorine and Helium are gases at room temperature, this is not the specific relationship the question is looking for. Many elements are gases.

Option C: Radioactive: Neither Fluorine nor Helium are inherently radioactive. Some isotopes of these elements may be radioactive, but that's not the primary characteristic defining their groups.

Option D: Metal: Both Fluorine and Helium are nonmetals.

The pattern is follow as,

As, $12: 36=\frac{(12)^2}{4}=36$

Similarly, $18: 81=\frac{(18)^2}{4}=81$

So, the required number is 81.

To understand the relationship between "Growth" and "Expansion," let's break down the pair. "Growth" refers to the process of increasing in size, quantity, or significance, while "Expansion" refers to the process of something becoming larger or more extensive. Therefore, the relationship can be summarized as a cause and effect or state that follows from an initial state.

Now, let's evaluate each option to identify which one shares a similar relationship:

Option A: Child : Birth

The relationship here can be described as the origin or commencement. A "Child" is the result or outcome of "Birth." This relationship, however, is not exactly similar to growth leading to expansion but rather an origin-result relationship.

Option B: Urge : Request

This relationship describes a situation where an "Urge" (a strong desire or impulse) can lead to a "Request" (an act of asking for something). This is quite similar to the cause-effect relationship seen in Growth leading to Expansion.

Option C: First : Last

This relationship is one of sequential order, where "First" and "Last" represent the beginning and ending points in a series. This does not match the growth-expansion relationship, which is transformational rather than positional.

Option D: Temporary : Permanent

This relationship is one of contrast, where "Temporary" means lasting for a limited period and "Permanent" means lasting indefinitely. This does not fit the pattern of growth leading to expansion.

Given the options, the correct word-pair that shares a similar relationship to "Growth" and "Expansion" is:

Option B: Urge : Request

The initially computed average is based on incorrect entries. Let's first find the total sum of the marks of all 50 students using this incorrect average.

Total (Incorrect) = Average (Incorrect) Number of students = 64 50 = 3200

The incorrect entries were 38 and 42, whose sum is 80. The correct entries should have been 83 and 24, whose sum is 107.

Therefore, the difference between the incorrect total and the correct total is 107 - 80 = 27.

The correct total of all student marks should be the incorrect total plus this difference: 3200 + 27 = 3227.

Now we can compute the correct average:

Average (Correct) = Total (Correct) / Number of students = 3227 / 50 = 64.54

Therefore, the correct average is 64.54, which is Option A.

As, 14 : 289 $\Rightarrow$ 14 + 3 = 17

$\Rightarrow$ 17² = 289

And 17 : 400 $\Rightarrow$ 17 + 3 = 20

$\Rightarrow$ 20² = 400

Similarly, 21 : ? $\Rightarrow$ 21 + 3 = 24

$\Rightarrow$ 24² = 576

The average age of 8 men increased by 2 years when one of them, who is 20 years old, is replaced. This means the new man brought an additional 2 years to the average age for each of the 8 people, for a total of 2$ \times $8 = 16 additional years.

However, we have to remember that this is on top of the 20 years of the man he replaced. So, the age of the new man is 20 (the age of the replaced man) + 16 (additional years) = 36 years.

So, the correct answer is :

Option B : 36 yr

'Spanner' is used by mechanic as a tool to loose or tight nut and bolt. In the same way, 'saw' is used by carpenter as a tool to cut wood. Hence, option (d) is correct.