1.
A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cm and its width is increased also by x cm so as to make it a square then its area changes by :
Correct Answer
A. 4
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.
2.
A box contains 90 nuts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5 kg., then the weight of the empty box is :
Correct Answer
B. 11.5 kg
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.
3.
If 3/p = 6 and 3/q = 15 then p - q = ?
Correct Answer
C. 3/10
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.
4.
A child should not be ______ as being either very shy or over confident.
Correct Answer
D. Categorized
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.
5.
We never believed that he would resort to ______ in order to achieve his goal; we always regarded him as a _______ man.
Correct Answer
A. Subterfuge - honest
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".
6.
ANGLE : DEGREE
Correct Answer
B. Area : square inch
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".
7.
ZOOLOGY : ANIMALS
Correct Answer
C. Ecology : pollution
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.
8.
How many of them occupy cottages next to a vacant cottage?
Correct Answer
C. 4
Explanation
In order for someone to occupy a cottage next to a vacant cottage, there must be a vacant cottage on one side and an occupied cottage on the other side. If we imagine a row of cottages, the vacant cottage can be in the middle with an occupied cottage on each side, or it can be at one end with an occupied cottage on the other end. In both cases, there would be a total of four people occupying cottages next to a vacant cottage. Therefore, the correct answer is 4.
9.
Which among these statement(s) are true?
I. Anne is between Eliza and Jack.
II. At the most, four persons can have occupied cottages on either side of them.
III. Tom stays beside Peter.
Correct Answer
C. I and III only
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.