Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the second option figure.

Hence, the second option is correct.

Correct Answer: Sumesh requested Raman to lend him some money as he needed it urgently.

Solution : The correct choice is the first option.

The steps for conversion are as follows:

• The pronoun "me" (first person) is changed to "him" (third person).
• The reporting verb "said" is changed to "requested" in the imperative sentence.
• The infinitive form i.e. "to + base form of the verb" is used in the case of the imperative sentence.

Therefore, the sentence in the reported speech is: "Sumesh requested Raman to lend him some money as he needed it urgently."

Correct Answer: ACDB

Solution : The third option is correct.

Here, the given sentences discuss the progression and consequences of global warming. So, the logical flow of the sequence would be:

• (A) introduces the rise in the world's temperature and its effect, global warming.
• (C) explains the cause: increased carbon emissions leading to global warming.
• (D) details the effect: the rise in global temperature causing the melting of polar ice caps.
• (B) concludes by highlighting the consequence: the potential rise in sea levels impacting islands and coastal regions due to melted ice caps.

Correct Answer: 23

Solution : 5 + 2 + A + 6 + B + 7 + C = 20 + A + B + C
Possible values of (A + B + C) = 1, 4, 7, 10, 13, 16, 19, 22, 25
Again,
5 + A + B + C – 2 – 6 – 7 = 0 or Multiple of 11
⇒ 5 + A + B + C – 15 = 0 or Multiple of 11
From the above possible values, for (A + B + C) = 10 we get 0
So, A + B + C = 10
Now,
If A = 5, B = 3, C = 2
⇒ 2A + 3B + C = 10 + 9 + 2 = 21
If A = 3, B = 5, C = 2
⇒ 2A + 3B + C = 6 + 15 + 2 = 23
If A = 3, B = 2, C = 5
⇒ 2A + 3B + C = 6 + 6 + 2 = 17
If A = 2, B = 5, C = 3
⇒ 2A + 3B + C = 4 + 15 + 3 = 22
Hence, the correct answer is 23.

Correct Answer: INR 4.2 crores

Solution : Let the total expenditure be INR $100x$.
According to the question,
Interest on Loans = 17.5%
$\frac{17.5}{100} \times 100x = 24500000$
$⇒17.5x=24500000$
$⇒x=1400000$
Total expenditure = 14,00,00,000
Expenditure on advertisement = 15%
Expenditure on taxes = 10%
Expenditure on research = 5%
Total expenditure = 15 + 10 + 5 = 30%
The total amount of expenditure on advertisement, taxes, and research and development is $140000000  \times \frac{30}{100}$ = INR 4,20,00,000 = INR 4.2 crores
Hence, the correct answer is INR 4.2 crores.

Correct Answer: 143

Solution : Given:
6 × 2 × 9 = 269; 8 × 7 × 1 = 781

The third number remains at the third position while the first and second numbers swap positions.
Like, 6 × 2 × 9 = 269
And, 8 × 7 × 1 = 781
Similarly, follow the same pattern for 4 × 1 × 3 = 143

Hence, the fourth option is correct.

Correct Answer: 3 : 16

Solution : Mean proportion of 1.6 and 3.6
$=\sqrt{ab}=\sqrt{1.6\times 3.6}=2.4$
Now, the third proportion of 5 and 8
$=\frac{b^2}{a}=\frac{8^2}{5}=\frac{64}{5}$
$\therefore$ Ratio of mean proportion to third proportion = $2.4:\frac{64}{5}$ = 12 : 64 = 3 : 16
Hence, the correct answer is 3 : 16.

Correct Answer: Neither conclusion I nor II follows

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

Let's analyse the conclusions –
Conclusion I: Some flashes are streaks – From the above diagram, it can be seen that there is no direct relation between flashes and streaks. Therefore, this conclusion is false.
Conclusion II: No flash is a line – From the Venn diagram, it can be seen that the circle of flash and line intersect and have some common area between them and it implies that some flash are lines. Therefore, this conclusion is false.

Therefore, neither conclusion I nor II follows. Hence, the fourth option is correct.

Correct Answer: Pride

Solution : The correct choice is the third option.

In this context, pride refers to a social group of lions. This term is specific to lions and reflects their social structure.

The meanings of the other options are as follows:

• Herd: This term is typically used for animals like cows or sheep.
• Pack: This term is often used for animals like wolves.
• Colony: This term refers to a group of animals, especially birds or insects, living together.

Correct Answer: Ragnar Frisch

Solution : The correct option is Ragnar Frisch

Norwegian economist Ragnar Frisch initially used the terms microeconomics and macroeconomics in 1933. Macroeconomics looks at the economy as a whole. To characterise his research, which used statistical methods to examine economic systems, he coined the term econometrics.