Correct Answer: Only conclusion II follows

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

Let's analyze the conclusions –
Conclusion (I): All decagons are hexagons – From the Venn diagram, it is evident that some parts of the circle representing decagons lie inside the circle representing hexagons while some lie outside. Thus, this conclusion does not follow.
Conclusion (II): All hexagons are octagons – From the Venn diagram, it is evident that the circle representing hexagons is completely overlapped by the circle representing octagons. Thus, it can be concluded that all hexagons are octagons.

So, the only conclusion II follows. Hence, the third option is correct.

Correct Answer: 40%

Solution : Let the cost price (CP) be 100.
The gain percentage is 12%.
So, the selling price (SP) = 100 + 100 × $\frac{12}{100}$ = 112
Now, discount = 20%,
So, the marked price (MP) × $\frac{(100-\text{discount percentage})}{100}$ = SP
⇒ MP × $\frac{(100-20)}{100}$ = 112
⇒ MP = $\frac{112×100}{80}$ = 140
Therefore, the required percentage = (140 – 100) = 40%
Hence, the correct answer is 40%.

Correct Answer:

Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the first option is correct.

Correct Answer: 26.27 cm

Solution : Given: Length($l$) = 13 cm, width($b$) = 11 cm, and height($h$) = 20 cm
Length of the longest diagonal of the cuboid
$=\sqrt{13^2 + 11^2 + 20^2}$
$= \sqrt{169 + 121 + 400}$
$= \sqrt{690}$
$= 26.27$ cm
Hence, the correct answer is 26.27 cm.

Correct Answer: Q

Solution : Let the total amount of work be a.
⇒ Work done by L and P together = $\frac{50}{100}$a = 0.5 a
⇒ Work done by Q alone = a – 0.5 a = 0.5 a
Also, Work done by P and Q together = $\frac{60}{100}$a = 0.6 a
⇒ Work done by P alone = 0.6 a – 0.5 a = 0.1 a
⇒ Work done by L = a – 0.6 a = 0.4 a
$\therefore$ Q is the most efficient.
Hence, the correct answer is Q.

Correct Answer: Tropical evergreen forests

Solution : The correct answer is Tropical evergreen forests

Tropical evergreen forests are prevalent in areas characterised by consistently high temperatures and abundant rainfall. These ecosystems, often referred to as rainforests, support a diverse array of plant and animal life. Among the notable flora found in tropical evergreen forests are commercially valuable trees such as ebony, mahogany, rosewood, rubber, and cinchona.

Correct Answer: To admit that one is wrong

Solution : The correct choice is the fourth option.

Explanation: To eat crow originated from a time when eating a crow (a scavenging bird) was considered a humiliating act. So, figuratively, it means admitting a mistake or being forced to accept a humiliating situation.

Correct Answer: not

Solution : The correct choice is the second option.

Explanation:

The given sentence is structured to suggest a comparison between Ram and the kings who came before him. The word not is used to indicate the absence of similarity or likeness between Ram and the previous kings. Grammatically, not is an adverb used to negate or deny something. It modifies the verb is, indicating that Ram lacks similarity or resemblance to the previous kings.

Therefore, the complete sentence is: Ram is not like the kings before him.

Correct Answer: misapply

Solution : The fourth option is correct.

• The word harness means to utilise or make use of something, especially a resource or talent.
• The antonym of harness is misapply.
• Misapply means to use something in the wrong way or for the wrong purpose.

Therefore, the correct answer is misapply.

Correct Answer: lay between

Solution : The error lies in the second option.

Explanation:
In this sentence, the verb lay is used incorrectly. The correct verb to use in this context is lie.
Lie is an intransitive verb, which means to be situated or located. In contrast, lay is a transitive verb and would require a direct object. Since we are describing the location of the Andes mountains without a direct object, lie is the appropriate choice.

Therefore, the correct sentence would be: The Andes mountains lie between Chile and Argentina.