Correct Answer: If only II follows

Solution : Given:
Statement:
National Expressway – A is the widest expressway and is used by a few people. When people find an empty and wide road, people drive at high speed, which leads to accidents.

Inference:
I. All accidents happen due to overspeeding – In the above-given statement, it is not mentioned whether all or some accidents happen due to overspeeding. Thus, this inference does not follow.
II. High speed increases the risk of accidents – In the above-given statement, it is mentioned that when people drive at high speed it leads to accidents. Thus, this inference follows.

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

Correct Answer: People suffering from eczema have allergies with red and itchy skin.

Solution : The correct choice is the third option.

The sentences contain a spelling error. The correct spelling of the condition is "eczema", which is a medical condition that causes dry, itchy, and inflamed skin.

Therefore, the correct sentence is: People suffering from eczema have allergies with red and itchy skin.

Correct Answer: ÷, −, ×, +

Solution : Given:
268 * 4 * 8 * 5 * 14 = 41

Let's check the options –
First option: +, ×, −, ÷
⇒ 268 + 4 × 8 − 5 ÷ 14 = 41
Solving the L.H.S. of the equation –
⇒ 268 + 4 × 8 − 0.36
⇒ 268 + 32 − 0.36
⇒ 299.64 ≠ 41
Second option: ×, ÷, +, −
⇒ 268 × 4 ÷ 8 + 5 − 14 = 41
Solving the L.H.S. of the equation –
⇒ 268 × 0.5 + 5 − 14
⇒ 134 + 5 − 14
⇒ 125 ≠ 41
Third option: ÷, ×, +, −
⇒ 268 ÷ 4 × 8 + 5 − 14 = 41
Solving the L.H.S. of the equation –
⇒ 67 × 8 + 5 − 14
⇒ 536 + 5 − 14
⇒ 527 ≠ 41
Fourth option: ÷, −, ×, +
⇒ 268 ÷ 4 − 8 × 5 + 14 = 41
Solving the L.H.S. of the equation –
⇒ 67 − 8 × 5 + 14
⇒ 67 − 40 + 14
⇒ 41

Here, only the fourth option satisfies the equation. Hence, the fourth option is correct.

Correct Answer: go ahead

Solution : The third option is the correct answer.

"Go about" means to engage in or undertake a task or activity.

"Go ahead" means to proceed or continue with something.

"Go around" means to circulate or move in a specific direction or path.

"Go fixed" is not a standard phrase in English.

Therefore, the complete sentence should be: "The management gave us permission to go ahead with the new curriculum."

Correct Answer: Chhattisgarh

Solution : The correct answer is Chhattisgarh.

Panthi dance is a popular folk dance form that belongs to the state of Chhattisgarh. One of its famous proponents is Radhe Shyam Barle, who was awarded the Padma Shri award in 2021. It is a fast-paced dance that is performed to the drum beats of the Mridanga. It is mainly performed by the Satnami tribal community of Chhattisgarh. The performers of this dance form wear dhoti, waist belts and ghungroo.

Correct Answer: is rich with

Solution : The correct choice is the fourth option.

In this sentence, the error lies in the preposition used after the word "rich".

Rich is typically followed by the preposition "in" when describing the abundance or high concentration of something within a substance or item.

For instance, in this context, "Amla juice is rich in Vitamin C" correctly signifies that Amla juice contains a significant amount of Vitamin C.

The correct usage of prepositions is essential for maintaining proper grammar in sentences. In this case, "is rich with" would be changed to "is rich in", which would be the proper use of a preposition.

Therefore, the correct sentence would be: "Amla juice is rich in Vitamin C."

Correct Answer: A + 5

Solution : Let $(x - 2)$, $x$, and $(x + 2)$ be the three consecutive even numbers.
Average = A = middle term = $x$
Let the next five consecutive even numbers added be $(x + 4), (x + 6), (x + 8), (x + 10)$ and $(x + 12)$
Then numbers are $(x - 2)$, $x$, $(x + 2)$, $(x + 4), (x + 6), (x + 8), (x + 10),$ and $(x + 12)$.
$\therefore$ Average = Average of two middle terms =$ \frac{(x + 4)+ (x + 6)}{2} =x+5 =A+5$
Hence, the correct answer is A + 5.

Correct Answer: 1 : 2

Solution : From the graph, for Delhi, it can be seen that BSNL sim cards sold are 10 and Airtel sim cards are 20
So, the required ratio = $\frac{10}{20}=\frac{1}{2}=1:2$
Hence, the correct answer is 1 : 2.

Correct Answer: Formation of lather with soap

Solution : The correct option is the Formation of lather with soap.

To determine the hardness of water, the lather or soap test is widely employed. Hard water combines with soap to generate soap scum or curd, an intractable material. When you use soap in hard water, it produces less lather and instead forms a scum. This can make cleaning harder, as more soap is needed to produce the desired cleansing effect. Soft water, on the other hand, readily forms a lather with soap.

Correct Answer: 207

Solution : Given:
12, 25, 51, 103, ?, 415, 831

Multiply the previous term by 2 and add 1 to the resultant term to get the next term.
(12 × 2) + 1 = 25; (25 × 2) + 1 = 51; (51 × 2) + 1 = 103; (103 × 2) + 1 = 207; (207 × 2) + 1 = 415; (415 × 2) + 1 = 831

So, 207 is the missing term in the series. Hence, the second option is correct.