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.

Correct Answer: Micro Enterprise Development Programme

Solution : The correct option is the Micro Enterprise Development Programme.

The full form of MEDP is the "Micro Enterprise Development Programme." It refers to initiatives or programmes aimed at supporting the development and growth of microenterprises.

Correct Answer: 1675

Solution : Average cost price for L, M, N, O = A2 = $\frac{800 + 700 + 500 + 600}{4}=\frac{2600}{4}= 650$
Now, we have to calculate the average selling price.
Selling price = Cost price + Profit
⇒ Selling price of L, M, N, O, P, and Q = A1 = (800 + 300) + (700 + 250) + (500 + 400) + (600 + 500) + (400 + 350) + (900 + 450)
= 1100 + 950 + 900 + 1100 + 750 + 1350
= 6150
So, Average selling price = $\frac{6150}{6} = 1025$
$\therefore$ A1 + A2 = 1025 + 650 = 1675
Hence, the correct answer is 1675.

Correct Answer: 15

Solution :
Given,
Length of AP = a² + 14
Length of AQ = 239
We know that tangents drawn from an external point to a circle are equal
⇒ AP = AQ
⇒ a² + 14 = 239
⇒ a² = 225
⇒ a = $\small\sqrt{225}$
⇒ a = 15
Hence, the correct answer is 15.