Question : In $\triangle \mathrm{ABC}$, $AB=20$ cm, $BC=7$ cm and $CA=15$ cm. Side $BC$ is produced to $D$ such that $\triangle \mathrm{DAB} \sim \triangle \mathrm{DCA}$. $DC$ is equal to:

Option 1: 9 cm

Option 2: 8 cm

Option 3: 10 cm

Option 4: 7 cm

Question : Select the most appropriate meaning of the underlined idiom in the given sentence.

Pooja tried to explain the problem, but soon she tied herself up in knots.

Option 1: Be forced to explain your actions and (probably) punished.

Option 2: Become very confused when you are trying to explain something.

Option 3: Make no progress in an argument or discussion.

Option 4: Won't modify an opinion or agree to even small changes that another person wants.

Question : Match the columns.

Option 1: i-a, ii-b, iii-c, iv-d

Option 2: i-b, ii-a, iii-c, iv-d

Option 3: i-d, ii-c, iii-b, iv-a

Option 4: i-a, ii-c, iii-b, iv-d

Question : Which number among 24963, 24973, 24983, and 24993 is divisible by 7?

Option 1: 24973

Option 2: 24983

Option 3: 24963

Option 4: 24993

Question : Who among the following teamed up with flautist Hariprasad Chaurasia and guitarist Brij Bhushan Kabra and produced a concept album, "Call of the Valley" (1967)?

Option 1: Tarun Bhattacharya

Option 2: Bhajan Sopori

Option 3: Shivkumar Sharma

Option 4: Satish Vyas

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:
What tool does Aristotle advocate to teachers to develop good habits in students?

Option 1: Writing

Option 2: Reading

Option 3: Questioning

Option 4: Repetition

Question : Directions: In the following question, find the odd number pair from the given alternatives.

Option 1: 4 – 16 

Option 2: 8 – 24

Option 3: 14 – 26

Option 4: 16 – 36

Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word.
ENVIRONMENT

Option 1: OINTMENT

Option 2: MENTOR

Option 3: VENOM

Option 4: TRIM

Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".

50 Chinese couples were married at a ceremony in Colombo to mark the anniversary of diplomat relations between two countries.

1. diplomatic relations among two countries
2. diplomatic relations between the two countries
3. diplomacy relations between each other
4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : If the average of 6 consecutive even numbers is 25, the difference between the largest and the smallest number is:

Option 1: 8

Option 2: 10

Option 3: 12

Option 4: 14