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Question : The perimeter of the triangle is 67 cm. The first side is twice the length of the second side. The third side is 11 cm more than the second side. Find the length of the shortest side of the triangle.
Option 1: 12 cm
Option 2: 14 cm
Option 3: 17 cm
Option 4: 25 cm
Correct Answer: 14 cm
Solution : Let the second side of the triangle be x cm. So, first side = 2x cm Third side = (x + 11) cm Given: Perimeter of the triangle = 67 cm So, 2x + x + x + 11 = 67 ⇒ 4x =
Question : Directions: Which two signs should be interchanged to make the given equation correct? 10 – 4 + 13 ÷ 15 × 3 = 71
Option 1: + and ×
Option 2: – and ÷
Option 3: ÷ and ×
Option 4: – and ×
Correct Answer: ÷ and ×
Solution : Given: 10 – 4 + 13 ÷ 15 × 3 = 71
Replace the signs given in the equation with the assigned signs in the options one by one – First option: + and × ⇒ 10 – 4 × 13 ÷ 15
Question : Directions: How many triangles are there in the given figure?
Option 1: 7
Option 2: 8
Option 3: 9
Option 4: 6
Correct Answer: 9
Solution : The given figure can be labelled as shown below –
Now, in the above figure, there are a total of 9 triangles. They are AEF, BCG, CDG, BDG, ADF, ADE, HIJ, EGH, EDI.
Therefore, there are 9 triangles in this figure. Hence, the third option
Question : Comprehension: Read the given passage and answer the questions that follow. Santiniketan embodies Rabindranath Tagore's vision of a place of learning that is unfettered by religious and regional barriers. Established in 1863 with the aim of helping education go beyond the confines of the classroom, Santiniketan grew into the Visva Bharati University in 1921, attracting some of the most creative minds in the country.
He developed a curriculum that was a unique blend of art, human values, and cultural interchange. Even today, in every step, in every brick, and in every tree at Santiniketan, one can still feel his presence, his passion, his dedication, and his pride in the institution.
In 1862, Maharishi Debendranath Tagore, father of Rabindranath, was taking a boat ride through Birbhum, the westernmost corner of Bengal, when he came across a landscape that struck him as the perfect place for meditation. He bought the large tract of land built a small house and planted some saplings around it. Debendranath Tagore decided to call the place Santiniketan, or the 'abode of peace', because of the serenity it brought to his soul. In 1863, he turned it into a spiritual center where people from all religions, castes, and creeds came and participated in meditation.
In the years that followed, Debendranath's son Rabindranath went on to become one of the most formidable literary forces India has ever produced. He wrote in all literary genres but he was first and foremost a poet. As one of the earliest educators to think in terms of the global village, he envisioned an education that was deeply rooted in one's immediate surroundings but connected to the cultures of the wider world.
Located in the heart of nature, the school aimed to combine education with a sense of obligation towards the larger civic community. Blending the best of Western and traditional Eastern systems of education, the curriculum revolved organically around nature with classes being held in the open air. Tagore wanted his students to feel free despite being in the formal learning environment of a school because he himself had dropped out of school when he found himself unable to think and felt claustrophobic within the four walls of a classroom. Nature walks and excursions were a part of the curriculum, special attention was paid to natural phenomena and students were encouraged to follow the life cycles of insects, birds, and plants.
The rural paradise of Santiniketan, Tagore's erstwhile home, has become a thriving center of art, education, and internationalism over the years.
Question: The word 'unfettered' in the text suggests:
Option 1: free from barriers
Option 2: outside the classroom
Option 3: restricted by regional differences
Option 4: bound by religious beliefs
Correct Answer: free from barriers
Solution : The first option is the correct choice.
The word unfettered in the text suggests being free from barriers. In the context of the passage, it conveys that Santiniketan, as envisioned by Rabindranath Tagore, is meant to be a place of learning without
Question : Which of the following is/are example(s) of cold-blooded animals? I. Turtles II. Snakes
Option 1: Both I and II
Option 2: Neither I nor II
Option 3: Only I
Option 4: Only II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
Snakes and turtles are two examples of creatures with cold blood. Animals classified as cold-blooded or ectothermic adjust their body temperature externally in response to environmental temperature changes. Reptiles like turtles and snakes
Question : Who among the following was one of the speakers after Jawaharlal Nehru to address the Parliament on the midnight of 15 August 1947?
Option 1: C. Rajagopalachari
Option 2: Rajendra Prasad
Option 3: Sardar Vallabhbhai Patel
Option 4: Sarvepalli Radhakrishnan
Correct Answer: Sarvepalli Radhakrishnan
Solution : The correct option is Sarvepalli Radhakrishnan.
Sarvepalli Radhakrishnan was one of the speakers after Jawaharlal Nehru's historic "Tryst with Destiny," addressed the Parliament on midnight August 15, 1947. Sarvepalli Radhakrishnan stands out as the only one among the options who addressed the Parliament
Question : Identify the segment that contains a grammatical error. If there is no error, select 'No error.' He consolidated control over all the provinces of the Great Britain and some 'of northern Gaul, while Maximian dealt with other uprisings.
Option 1: Of northern Gaul while Maximian dealt with other uprisings
Option 2: No Error
Option 3: He consolidated control over all the
Option 4: Provinces of the Great Britain and some
Correct Answer: Provinces of the Great Britain and some
Solution : The error lies in the fourth option.
The phrase the Great Britain is incorrect. When referring to the collective territories, it should be Great Britain without the article the. The corrected version removes the article before Great Britain to
Question : Study the given graph and answer the following question. The number of lecturers recruited in state B in the year 2019 was what percentage of the number of lecturers recruited in state C in the year 2021? (Correct to 2 decimal places.)
Option 1: 56.25%
Option 2: 50.25%
Option 3: 48.62%
Option 4: 57.89%
Correct Answer: 57.89%
Solution : Number of lectures recruited in State B in 2019 = 22 Number of lectures recruited in State C in 2021 = 38 ⇒ Percentage = $\frac{22}{38}\times 100$ = 57.89% Hence, the correct answer is 57.89%.
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.
Daniel talks to people about the right to life. He says, “We have the right to live in freedom and safety!” but the people do not (1)_______ and they say that the War is a big deal and it is not up to us nor up to the government. The government knows what to do and only the government can decide (2)______ is best. And if the government says that there must be war, then it must be so. Daniel does not accept this and asks if there is a better solution. As all wars end with agreements, can’t we make the agreements without fighting? Can’t the government solve this (3)_________? Isn’t that the reason we have a government in the first place? He decides to (4)______ to people in his government. He decides to write to them and let them know what he thinks. He knows one opinion does not matter much, but he also knows that if everyone in his own country and on the other side would do this, there will (5)________ be no more wars.
Question:
Select the most appropriate option to fill in the blank number 5.
Option 1: doubtlessly
Option 2: wabbly
Option 3: absurdly
Option 4: probably
Correct Answer: probably
Solution : The correct option to fill in the blank number 5 is the fourth option.
"Probably" is the most appropriate word to use in this context, as it suggests that there is a likelihood that if everyone wrote to their governments, wars could potentially be avoided.
Question : Directions: Which of the following interchange of numbers and signs would make the given equation correct? 10 − 4 ÷ 20 + 16 × 8 = 16
Option 1: 10 and 16, × and ÷
Option 2: 4 and 8, × and −
Option 3: 4 and 20, + and ÷
Option 4: 10 and 20, + and ×
Correct Answer: 4 and 8, × and −
Solution : Given: 10 − 4 ÷ 20 + 16 × 8 = 16
Let's check the given options – First option: 10 and 16, × and ÷ Since there are two 16s in the equation, it is not clear which 16
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