Could You Nail This Nat – Category I – National Aptitude Test?

Explanation
If the length of the rectangle is reduced by x cm and the width is increased by x cm to make it a square, then the new length and width of the square would be (14-x) cm and (10+x) cm respectively. The area of a square is calculated by multiplying the length by the width. So, the area of the new square would be (14-x)(10+x) = 140 + 4x - x^2. The change in area can be calculated by subtracting the original area (14*10 = 140) from the new area, which gives 4x - x^2. Therefore, the correct answer is 4.

Explanation
The weight of the nuts is 90 x 100 gm = 9000 gm = 9 kg. The weight of the bolts is 100 x 150 gm = 15000 gm = 15 kg. The total weight of the nuts and bolts is 9 kg + 15 kg = 24 kg. Therefore, the weight of the empty box is the total weight of the box (35.5 kg) minus the weight of the nuts and bolts (24 kg), which is 35.5 kg - 24 kg = 11.5 kg.

Explanation
If 3/p = 6, then p = 3/6 = 1/2. Similarly, if 3/q = 15, then q = 3/15 = 1/5. Therefore, p - q = (1/2) - (1/5) = (5/10) - (2/10) = 3/10.

Explanation
The correct answer is "categorized." This is because categorizing a child as either very shy or overconfident can be limiting and unfair. It is important to recognize that children can exhibit a range of behaviors and personalities, and labeling them in such a binary manner can hinder their growth and development.

Explanation
The sentence states that the person in question was never believed to resort to subterfuge in order to achieve his goal and that he was always regarded as an honest man. This means that the person was not suspected of using deceit or deception and was considered to be truthful and trustworthy. Therefore, the correct answer is "subterfuge - honest".

Explanation
The relationship between "area" and "square inch" is that "square inch" is the unit of measurement used to quantify the "area" of a two-dimensional object. Similarly, "degree" is the unit of measurement used to quantify an "angle". The other options do not have this same relationship, as "quart" is a unit of measurement for "milk", "alphabet" is a collection of letters in a language, and "minutes" is a unit of measurement for "time".

Explanation
The given analogy relates different fields of study to their respective subjects. In this analogy, ecology is the study of the environment and its interactions, while pollution is a specific aspect or subject within ecology. Similarly, in the other pairs, zoology is the study of animals, botany is the study of plants, chemistry is the study of atoms, and history is the study of people. Therefore, the correct answer is ecology : pollution.

Explanation
The primary function of the legislative branch of government is to create laws. This branch, typically comprising a parliament or congress, is responsible for drafting, debating, and passing legislation. While the executive branch enforces laws and the judicial branch interprets them, the legislative branch ensures that new laws are established to govern the country effectively and address the needs and issues of society.

Explanation
The statement I is true because it states that Anne is between Eliza and Jack. The statement III is also true because it states that Tom stays beside Peter. Statement II is not true because it states that at the most, four persons can have occupied cottages on either side of them, but this information is not provided in the question. Therefore, the correct answer is I and III only.