The question asks us to identify the relationship between the first two words and apply the same relationship to the third word to find the fourth word. This is a word analogy problem where we need to find synonyms.
B) Aggressive. "Aggressive" means ready or likely to attack or confront; characterized by or resulting from aggression. This meaning is very close to "Fierce", making it the most suitable synonym.
The question asks for the nickname of ISRO's most powerful rocket, GSLV-Mk III. This is a factual recall question related to India's space program.
Correct Option: A) Fat Boy is the correct nickname for ISRO's GSLV-Mk III rocket.
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?).
To solve this problem, we need to count the number of sides in each geometric shape shown in the diagram and sum them up to find the total.
The total number of sides is 21.
Correct Option: A) 21
To arrange words in dictionary order, we compare them letter by letter from left to right. The word with the letter that comes earlier in the alphabet at the first point of difference will come first. If words share a common prefix, we continue comparing the letters after the prefix.
C) Antigen → Antipathy → Antique → Apology → Branch is the correct order as determined by the step-by-step comparison of letters.
The question asks to identify the instrument used for measuring electric current. This is a direct knowledge-based question related to basic electrical components and their functions.
Correct Option: A) Ammeter is the instrument used to measure electric current.
To find the smallest number that must be subtracted from a given number to make it a perfect square, we need to find the largest perfect square less than or equal to the given number. The difference between the given number and this perfect square will be the required smallest number.
We will use the long division method to find the square root of 63535.
First, pair the digits from the right: 6 35 35.
2 5 2
_______
2| 6 35 35
-4
---
45 | 2 35
-2 25
-----
502| 10 35
-10 04
------
31
Explanation of the steps:
B) 31 is the smallest number that must be subtracted from 63535 to make it a perfect square.
This problem involves finding the angle formed by the internal angle bisectors of a triangle. We will use the angle sum property of a triangle and the definition of an angle bisector.
Let the given triangle be \(\triangle ABC\). We are given that \(\angle BAC = 60^\circ\).
Let \(BO\) be the bisector of \(\angle ABC\) and \(CO\) be the bisector of \(\angle ACB\). These bisectors meet at point \(O\).
In \(\triangle ABC\), the sum of angles is \(180^\circ\). So, \(\angle BAC + \angle ABC + \angle ACB = 180^\circ\).
Substituting the given value, we have \(60^\circ + \angle ABC + \angle ACB = 180^\circ\).
Therefore, \(\angle ABC + \angle ACB = 180^\circ - 60^\circ = 120^\circ\).
Since \(BO\) bisects \(\angle ABC\), \(\angle OBC = \frac{1}{2} \angle ABC\).
Since \(CO\) bisects \(\angle ACB\), \(\angle OCB = \frac{1}{2} \angle ACB\).
Now consider \(\triangle OBC\). The sum of angles in \(\triangle OBC\) is \(180^\circ\). So, \(\angle BOC + \angle OBC + \angle OCB = 180^\circ\).
Substitute the expressions for \(\angle OBC\) and \(\angle OCB\):
\[ \angle BOC + \frac{1}{2} \angle ABC + \frac{1}{2} \angle ACB = 180^\circ \]
Factor out \(\frac{1}{2}\):
\[ \angle BOC + \frac{1}{2} (\angle ABC + \angle ACB) = 180^\circ \]
From step 5, we know that \(\angle ABC + \angle ACB = 120^\circ\). Substitute this value:
\[ \angle BOC + \frac{1}{2} (120^\circ) = 180^\circ \]
Simplify:
\[ \angle BOC + 60^\circ = 180^\circ \]
Solve for \(\angle BOC\):
\[ \angle BOC = 180^\circ - 60^\circ = 120^\circ \]
Alternatively, there is a direct formula for the angle formed by the internal angle bisectors: If the bisectors of \(\angle B\) and \(\angle C\) of \(\triangle ABC\) meet at \(O\), then \(\angle BOC = 90^\circ + \frac{1}{2} \angle A\).
Using the formula:
\[ \angle BOC = 90^\circ + \frac{1}{2} (60^\circ) \]
\[ \angle BOC = 90^\circ + 30^\circ \]
\[ \angle BOC = 120^\circ \]
Correct Option: A) 120°
To find out who taught the maximum number of subjects, we need to list the subjects taught by each teacher based on the given information and then count the total unique subjects for each teacher.
Teacher A taught 4 subjects, which is more than any other teacher.
D) A taught 4 subjects (Hindi, English, Mathematics, Science), which is the maximum number of subjects among all teachers.
The question asks to identify the individual credited with developing the theory of 'population growth'. This requires knowledge of prominent historical figures associated with demographic and economic theories.
D) Malthus — Thomas Robert Malthus (1766–1834) was an English cleric, scholar, and influential economist in the fields of political economy and demography. He is best known for his theory of population growth, articulated in his 1798 work, "An Essay on the Principle of Population." In this essay, Malthus argued that human population growth would inevitably outstrip food supply, leading to famine, disease, and war unless checked by moral restraint or other factors.