Correct Answer: The Constitution does not provide for their direct enforcement.

Solution : The correct option is The Constitution does not provide for their direct enforcement.

Fundamental duties in the Indian Constitution are not directly enforceable by law. While they are mentioned as a part of the Constitution, there are no legal provisions for their enforcement through the courts. They serve more as moral and ethical obligations for citizens.

Correct Answer: 273

Solution : Given:
11 : 133 :: 16 : ? :: 22 : 507

Square the first number and then add 1 and the first number to the resultant, to get the second number –
Like, 11 : 133→(11)² = 121; 11 + 1 = 12; 121 + 12 = 133
And, 22 : 507→(22)² = 484; 22 + 1 = 23; 484 + 23 = 507
Similarly, follow the same pattern for 16 : ?→(16)² = 256; 16 + 1 = 17; 256 + 17 = 273

So, the missing number is 273. Hence, the third option is correct.

Correct Answer: 15 years

Solution :

Given:
Adam's age = 20 years
Also, Adam's age = 4 × Mary's age
⇒ Mary's age = Adam's age ÷ 4
⇒ Mary's age = 20 ÷ 4 = 5 years.

Let us assume that after A years, Adam's age is twice the Mary's age;
Adam's age after A years = (20 + A) years, and Mary's age after A years = (5 + A) years.
Also, after A years, Adam’s age = 2 × Mary’s age
⇒ (20 + A) = 2(5 + A)
⇒ 20 + A = 10 + 2A
⇒ 20 – 10 = 2A – A
⇒ A = 10 years
Therefore, Mary's age after 10 years will be 15 years, and Adam’s age after 10 years will be 30 years.

So, Mary's age after 10 years will be 15 years. Hence, the second option is correct.

Correct Answer: 12

Solution : Given:
2 × 16 = 8, 8 × 8 = 1, 6 × 12 = 2

Like, 2 × 16 = 8→16 ÷ 2 = 8
8 × 8 = 1→8 ÷ 8 = 1
6 × 12 = 2→12 ÷ 6 = 2
Similarly, for 12 × 144 = ?→144 ÷ 12 = 12

Hence, the second option is correct.

Correct Answer: 20%

Solution : As per the chart,
The sum of all the central angles in a pie chart is 360°.
The corresponding angle for children using a scooter = 72°
The required percentage = $\frac{72^\circ}{360^\circ}$ × 100 = 20%
Hence, the correct answer is 20%.

Correct Answer: 7.2 km

Solution : According to the instructions given, the diagram is as follows –

Here, A is the starting point and F is the finishing point and AF is the total distance from the starting point.

AB = 2 km; BC = 6 km; CD = BE = 2km; DF = 12 km; DE = EF = 6 km
And, AE = AB + BE = 2 + 2 = 4 km

By applying the Pythagoras theorem –
(AF)² = (AE)² + (EF)²
(AF)² = (4)² + (6)² = 16 + 36 = 52
⇒ AF = √52 = 7.2 km

So, the total distance from the starting point is 7.2 km. Hence, the third option is correct.

Correct Answer: Knowledge processors

Solution : The correct answer is Knowledge processors.

Fifth-generation computers, often known as knowledge processors, were envisioned as powerful computing systems capable of not just processing data and doing computations but also understanding and working with human knowledge more intelligently and naturally. These systems would excel at activities such as natural language comprehension, expert reasoning, and knowledge-based problem-solving.

Correct Answer: 14 percent

Solution : Increase in Price = 20%
Decrease in consumption = 5%
⇒ Percentage change in expenditure $= 20\% - 5\%-\frac{20\%\times5\%}{100}$
= 15% - 1%
= 14%
Hence, the correct answer is 14 percent.

Correct Answer: (2)

Solution : The error lies in the second part of the sentence.

As the event in the sentence is a past event, "will decide" should be replaced with "decided" to make the sentence grammatically accurate and convey its intended meaning.

Therefore, the correct sentence is: "It being a rainy day, I decided to skip work and stay at home."

Correct Answer: challenging

Solution : The correct choice is the second option.

Explanation:

The word challenging means something that tests one's abilities and is demanding. It is the correct choice, as it helps in conveying the intended meaning of the sentence that choosing the right software is a demanding task for any company.

The meanings of the other options are as follows:

• Intimating means to state or make known.
• Flickering means something burning or shining unsteadily.
• Attributing means to regard something as being caused by.

Therefore, the complete sentence is: Choosing the right software for any purpose can be a challenging task for any business.