Question : Study the following table and answer the question that follows. A school has four sections A, B, C, and D of Class IX students. The results of the Science and Mathematics examinations are shown in the following table.

What is the ratio of the number of students who failed in Science but passed in Mathematics of section B and section D together to the number of students of section A that passed in both subjects?

Option 1: 9 : 17

Option 2: 3 : 7

Option 3: 4 : 9

Option 4: 5 : 11

Question : Directions: Five books of History, Mathematics, English, Hindi, and Science are kept on top of each other. English is kept between History and Mathematics. Hindi and Science are kept together. Science is kept above Mathematics. Which book is kept in the middle? 

Option 1: Mathematics

Option 2: English 

Option 3: Science 

Option 4: Mathematics or English

Question : Directions: Six books Hindi, Biology, Mathematics, Economics, Physics, and Chemistry are placed in two racks facing each other with three books in each rack. Hindi and Chemistry are in the same rack but are not neighbours. Biology is placed exactly opposite to Economics. Biology is just left of Hindi facing the South direction. Physics is exactly opposite to Chemistry. Which of the following is placed exactly opposite to Hindi?

Option 1: Chemistry

Option 2: Economics

Option 3: Biology

Option 4: Mathematics

Question : Who among the following persons of Indian origin was in the news in December 2021 for solving the Kadison-Singer 1959 problem in the field of mathematics?

Option 1: Nikhil Srivastava

Option 2: Nikhil Sachdev

Option 3: Satya Nadella

Option 4: Pratap Bhanu Mehta

Question : Study the given table and answer the question that follows.
Marks obtained (out of 100) by four students P, Q, R, and S in four subjects in an examination are given in the table.

Which student has scored the marks in the ratio of 10 : 13 in Physics and Mathematics?

Option 1: S

Option 2: Q

Option 3: P

Option 4: R

Question :

Directions: In the following question, select the related word from the given alternatives.
Mathematics : Logic :: Science : ?

Option 1: Experiments

Option 2: Laboratory

Option 3: Scientists

Option 4: Facts

Question : Comprehension:

In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

The world is undergoing rapid changes in the knowledge landscape. With various dramatic scientific and technological advances, such as the rise of big data, machine learning, and artificial intelligence, many unskilled jobs worldwide may be taken over by machines, while the need for a skilled workforce, particularly involving mathematics, computer science, and data science, in conjunction with multidisciplinary abilities across the sciences, social sciences, and humanities, (1)________ increasingly in greater demand. With climate change, increasing pollution, and depleting natural resources, there will be a sizeable shift in how we (2)_______ the world's energy, water, food, and sanitation needs, again resulting in the need for new skilled labour, particularly in biology, chemistry, physics, agriculture, climate science, and social science. The growing (3)________ of epidemics and pandemics will also (4)_______ collaborative research in infectious disease management and development of vaccines, and the resultant social issues heighten the need for multidisciplinary learning. There will be a growing (5)__________ for humanities and art as India moves towards becoming a developed country as well as among the three largest economies in the world.

Question:

Select the most appropriate option to fill in the blank number 2.

Option 1: had

Option 2: meet

Option 3: have

Option 4: see

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