Question :

In the figure, PT is a tangent. If TP = 12 cm, PB = $x$ + 7 cm, and PA = $x$ cm, then find the value of $x$.

Option 1: 9

Option 2: 6

Option 3: 7

Option 4: 5

Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 3.

Option 1: 4

Option 2: 2

Option 3: 6

Option 4: 5

Question : What is the unit digit of the sum of the first 111 whole numbers?

Option 1: 4

Option 2: 6

Option 3: 5

Option 4: 0

Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).

What does agonise me most is not this criticism, but the trivial reason behind it.

(1) most agonised me

(2) most agonising me

(3) agonises me most

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.

A. Symptoms like nervousness, increased heart rate and feeling weak are some of the starting signs of anxiety.
B. Whereas anxiety attacks, sweating, trembling and having a feeling of impending danger might suggest advanced anxiety levels.
C. Most people don't even realise they have anxiety or take corrective measures until it amplifies and gets out of control.
D. Anxiety is a sad reality of today's time that has plagued a number of us in a variety of different ways.

Option 1: CDAB

Option 2: DCAB

Option 3: DACB

Option 4: CDBA

Question : Which of the following is not an example of factor payment?

Option 1: Interest

Option 2: Wages

Option 3: Rent

Option 4: Pension

Question : Comprehension:
Read the given passage and answer the questions that follow.
Plato is the earliest important educational thinker, and education is an essential element in 'The Republic' (his most important work on philosophy and political theory, written around 360 B.C.). In it, he advocates some rather extreme methods: removing children from their mothers' care and raising them as wards of the state, and differentiating children suitable to the various castes, the highest receiving the most education, so that they could act as guardians of the city and care for the less able. He believed that education should be holistic, including facts, skills, physical discipline, music, and art. Plato believed that talent and intelligence are not distributed genetically and thus can be found in children born to all classes, although his proposed system of selective public education for an educated minority of the population does not really follow a democratic model.

Aristotle considered human nature, habit, and reason to be equally important forces to be cultivated in education, the ultimate aim of which should be to produce good and virtuous citizens. He proposed that teachers lead their students systematically, and that repetition be used as a key tool to develop good habits, unlike Socrates' emphasis on questioning his listeners to bring out their own ideas. He emphasized the balancing of the theoretical and practical aspects of subjects taught, among which he explicitly mentions reading, writing, mathematics, music, physical education, literature, history, and a wide range of sciences, as well as play, which he also considered important.

Question:
Children who are imparted the highest education would be responsible for:

Option 1: developing talent and skills

Option 2: inculcating good habits

Option 3: guarding the city

Option 4: teaching the illiterate

Question : Ashoka sent a mission to spread the principle of Dhamma, led by his son, Mahendra and daughter Sanghamitra, to________.

Option 1: Kalinga

Option 2: Ceylon

Option 3: Cambodia

Option 4: Thailand

Question : In India, the residuary powers to legislate any matter that is not mentioned in the three federal lists lies with the _____________.

Option 1: supreme court

Option 2: union legislature

Option 3: state legislature

Option 4: respective ministry

Question : Directions: Three Statements are given followed by Three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
I. All stars are moons.
II. Some moons are suns.
III. All suns are satellites.
Conclusions:
I. Some satellites are moons.
II. Some satellites are stars.
III. Some moons are stars.

Option 1: Both conclusions I and II follow

Option 2: All conclusions follow

Option 3: Both conclusions I and III follow

Option 4: Both conclusions II and III follow