Correct Answer: product method

Solution : The correct answer is the product method.

One method of calculating a nation's national income is the product or value-added method. The output or inventory method is another name for this system. It shows how each producing unit contributes to the production process. Value-added is the extra value that a company adds to a raw material through its production processes.

Correct Answer: Only conclusion III follows

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

Let's analyse the conclusions –
Conclusion (I): All pens are phones – From the Venn diagram, it is evident that the circles representing pens and phones overlap each other and have a part of their areas in common. So, from this, it can be concluded that some pens are phones. Thus, this conclusion does not follow.
Conclusion (II): All laptops are pens – From the Venn diagram, it is evident that the circles representing pens and laptops overlap each other and have a part of their areas in common. So, from this, it can be concluded that some laptops are pens. Thus, this conclusion does not follow.
Conclusion (III): All pen drives are laptops – From the Venn diagram, it is evident that the circle representing pen drives is completely overlapped by the circle representing laptops. So, from this, it can be concluded that all pen drives are laptops. Thus, this conclusion follows.

So, the only conclusion III follows. Hence, the first option is correct.

Correct Answer: 11

Solution : Given: x + y = 7 and xy = 19.
On squaring both sides of the equation x + y = 7, we get,
(x + y)² = 7²
⇒ (x² + y² + 2xy) = 49
⇒ x² + y² + 2 × 19 = 49
⇒ x² + y² = 49 – 38
$\therefore$ x² + y² = 11
Hence, the correct answer is 11.

Correct Answer: 60

Solution : Let the numbers be $x$ and $y$ where $x > y$.
According to the question,
⇒ $(x + y) – (x – y) = 30$
⇒ $x + y–x + y = 30$
⇒ $y = \frac{30}{2} = 15$
Also, $xy = 900$
⇒ $15x = 900$
$\therefore x = \frac{900}{15} = 60$
Hence, the correct answer is 60.

Correct Answer: 6,000

Solution : Given: In an examination, 92% of the students passed and 480 students failed.
Let the number of the students who appeared in the examination = 100%.
The number of the students failed = 100 – 92 = 8%.
8% = 480
The number of students who appeared in the examination,
100% = $\frac{480}{8}\times 100=6000$
Hence, the correct answer is 6,000.

Correct Answer:

Solution : Since there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures.
The question figure is embedded only in the first option figure.

Hence, the first option is correct.

Correct Answer: INR 500

Solution : Let the cost price be INR $x$.
The cost price first decreased by 10%, then increased by 20%.
So, $\frac{x×90×120}{100×100}=540$
⇒ $108x=54000$
⇒ $x=500$
Therefore, the original cost price = INR 500
Hence, the correct answer is INR 500.

Correct Answer: E

Solution : Given:
A gets more marks than B but less than C.
B < A < C
D gets lesser marks than E but more than A
A < D < E
C gets less than D.
C < D
By concluding all the given information, we have –
B < A < C < D < E

So, E gets the highest marks among all. Hence, the third option is correct.

Correct Answer: Cabinet secretary

Solution : Correct Answer is Cabinet secretary

A civil servant (also called a public employee) is an worker of a public sector undertaking employed by a public sector department or agency of the government of India. A civil servant works for the central government and state governments. A civil servant does not work for any political party. A civil servant answers to the government. A civil servant is the highest executive and senior civil servant of Government of India.

Correct Answer: determined

Solution : The correct choice is the fourth option.

Determined means having made a firm decision and being resolved not to change it. It helps convey the intended meaning that the natural instincts of a man are made in his childhood.