Correct Answer: Calligraphy

Solution : The correct answer is the third option.

Explanation: "Calligraphy" is an appropriate one-word substitute because it specifically refers to the art of beautiful handwriting. When the original sentence mentions "learning the art of producing beautiful handwriting", the term "calligraphy" succinctly encapsulates this concept. It implies a skillful and decorative approach to writing, often with an emphasis on aesthetics and artistic expression.

Therefore, the correct answer is calligraphy.

Correct Answer: 52

Solution : Given: Speed of train = 54 km/hr
= $54 \times \frac{5}{18}$ = 15 m/s
Length of bridge = 438 m
Total distance = train length + bridge length
Total length = 342 + 438 = 780
So, the required time = $\frac{780}{15}$ = 52 sec
Hence, the correct answer is 52.

Correct Answer:

Governor of state

Solution : Correct Answer is -  governor of the state

The chief minister is formally appointed by the governor of the state, also appoints other ministers on the advice of the Chief Minister. The Council of Ministers is collectively responsible to legislative assembly of the State.

The party that has enough MLAs who form the majority in the legislative assembly nominates one of their members as the chief minister. 

The Chief Minister is considered as the de facto executive, while the Governor is the de jure executive. After the commencement of the election, the majority party in the Legislative Assembly forms the government.

The Chief Minister can be appointed from either the lower house or upper house, but majorly from the lower house. Under such conditions, the selection of the Chief Minister needs the approval of the majority of the legislative assembly. 

Final answer is -  governor of the state

Correct Answer: DU

Solution : Let's check the options –
First option: DU; D and U are not opposites in the English alphabetical series.
Second option: KP; K and P are opposites in the English alphabetical series.
Third option: JQ; J and Q are opposites in the English alphabetical series.
Fourth option: GT; G and T are opposites in the English alphabetical series.

Hence, the first option is correct.

Correct Answer: –2

Solution : Given: $a+b+c=0$
We know that $(a+b+c)^{2}=a^{2}+b^{2}+c^{2}+2(ab+bc+ca)$
Putting the value of $a+b+c=0$, we have,
⇒ $(0)^{2}=a^{2}+b^{2}+c^{2}+2(ab+bc+ca)$
⇒ $a^{2}+b^{2}+c^{2}=–2(ab+bc+ca)$
⇒ $\frac{(a^{2}+b^{2}+c^{2})}{(ab+bc+ca)}=–2$
Hence, the correct answer is –2.

Correct Answer: 9 km

Solution : Firstly, we will draw the diagram as per the given instructions –

Now, we have to find the distance the person has to travel to reach the post office after lunch.

In the figure, A is the starting point and E is the finishing point. So, AE is the distance from the starting point.
Here, AB = CD = 3 km and BC = AD = 4 km
So, AE = AD + DE
⇒ AE = 4 + 5 = 9 km

So, the person has to travel 9 km to reach the post office after lunch. Hence, the third option is correct.

Correct Answer: 41, 14, 76, 99, 79

Solution : Given:
CHEAT 

Number representations of each letter –
C→03, 10, 22, 34, 41
H→00, 14, 21, 32, 43
E→59, 68, 76, 87, 95
A→58, 66, 77, 85, 99
T→55, 67, 79, 86, 98

First option: 10, 21, 68, 77, 56; T cannot be represented as 56.
Second option: 34, 43, 95, 85, 96; T cannot be represented as 98.
Third option: 41, 14, 76, 99, 79; All the letters of the word CHEAT can be represented through this option.
Fourth option: 22, 00, 87, 67, 67; A cannot be represented as 67.

So, CHEAT can be represented by using the codes 41,14, 76, 99, 79. Hence, the third option is correct.

Correct Answer: B, 2010

Solution : The sales of vehicle B are lowest over the period 2010 = 5,40,000
Hence, the correct answer is B, 2010.

Correct Answer: though I do not absolute agree with her a bit on this.

Solution : The error lies in the second option.

Explanation:

The error is in the phrase do not absolute agree. The correct adverb to use here is absolutely. Absolutely in this context emphasises the extent of the disagreement, modifying the verb agree to express a stronger degree of disagreement.

Therefore, the correct sentence is: My granny says that it is quite all right to get married young, though I do not absolutely agree with her a bit on this.

Correct Answer: into

Solution : The third option is correct.

The sentence is describing how the incisors grow, forming tusks that can serve as weapons and tools. The preposition (into) is used here to indicate the transformation or development of incisors into tusks.

The meanings of the other options are as follows:

• For is a preposition used to indicate purpose, destination, recipient, or duration.
• Too is an adverb that indicates excess, or also.
• Towards is a preposition that implies a direction.

Therefore, the complete sentence is, "Their incisors grow into tusks, which can serve as weapons and as tools for moving objects and digging".