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Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 6
Correct Answer: 2
Solution : In each box, the sum of all the numbers is equal to 19. In the first figure: 3 + 2 + 6 + 8 = 19 In the second figure: 4 + 4 + 9 + 2 = 19 In the third figure: 19 –
Question : Rama alone can do a work in 5 days working 4 hours a day. Seema alone can do the same work in 3 days working 10 hours a day. How many hours do they need to work together in a day to complete the same work in 6 days?
Option 1: 1 hour
Option 2: 3 hours
Option 3: 5 hours
Option 4: 2 hours
Correct Answer: 2 hours
Solution : Rama's work = 5 × 4 = 20 hours Seema's work = 3 × 10 = 30 hours Hourly work of Rama = $\frac{1}{20}$ Hourly work of Seema = $\frac{1}{30}$ Combined one hour work of Rama and Seema $=\frac{1}{20}+\frac{1}{30}=\frac{2+3}{60}=\frac{1}{12}$ If they want to finish
Question : P is thrice as good as a workman as Q and therefore can finish a work in 40 days less than Q. In how many days can they together complete the same work?
Option 1: 20 days
Option 2: 15 days
Option 3: 22.5 days
Option 4: 18 days
Correct Answer: 15 days
Solution : Let Q finish the work in $D$ days then P will finish the same work in $(D - 40)$ days. So, 1-day work (efficiency) of Q = $\frac{1}{D}$ and 1-day work (efficiency) of P = $\frac{1}{D - 40}$ According to the question ⇒ $\frac{1}{D
Question : When a strong beam of light is passed through a colloidal solution, the light will
Option 1: be scattered
Option 2: pass unchanged
Option 3: be absorbed
Option 4: be reflected
Correct Answer: be scattered
Solution : The correct option is be scattered.
A strong beam of light is dispersed when it passes through a colloidal solution. The Tyndall effect was named after the 19th-century scientist John Tyndall, who first observed it. The Tyndall effect happens when light collides with colloidal
Question : Two successive price decreases of 20% and 30% of an article are equivalent to a single price decrease of:
Option 1: 50%
Option 2: 44%
Option 3: 25%
Option 4: 40%
Correct Answer: 44%
Solution : Single equivalent discount = $(a+b–\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. ⇒ Single equivalent discount = $20+30-\frac{20×30}{100}=50-6=44$% Hence, the correct answer is 44%.
Question : Select the option that expresses the given sentence in reported speech. Ranjan said to his boss, "Will you promote me by the end of this year?"
Option 1: Rajan asked his boss if he would promote him by the end of this year.
Option 2: Rajan asked to his boss if he will promote him by the end of that year.
Option 3: Rajan asked his boss that if he will promote him by the end of this year.
Option 4: Rajan asked his boss if he would promote him by the end of that year.
Correct Answer: Rajan asked his boss if he would promote him by the end of that year.
Solution : The correct choice is the fourth option.
Indirect speech, also known as reported speech or indirect discourse, is a way of reporting what someone else has said without quoting their exact
Question : Select the most appropriate synonym of the underlined word. The poet managed to paint a vivid picture of the landscape by the river through words.
Option 1: Metaphoric
Option 2: Evocative
Option 3: Contemporary
Option 4: Blurred
Correct Answer: Evocative
Solution : The correct choice is the second option.
Evocative is the synonym here because it means something that brings strong images, memories, or feelings to mind, which aligns well with the idea of painting a vivid picture through words.
The meanings of the other options are
Question : Match the columns.
Option 1: i-b, ii-c, iii-a, iv-d
Option 2: i-b, ii-a, iii-d, iv-c
Option 3: i-d, ii-c, iii-b, iv-a
Option 4: i-a, ii-b, iii-c, iv-d
Correct Answer: i-b, ii-a, iii-d, iv-c
Solution : The correct option is i-b, ii-a, iii-d, iv-c.
Chlorophyceae (Green Algae): Contains chlorophyll a and b, can be unicellular or multicellular, and is found in freshwater and marine environments.
Phaeophyceae (Brown Algae): large, multicellular seaweeds with brown colour due to fucoxanthin
Question : If $\frac{1}{\operatorname{cosec} \theta+1}+\frac{1}{\operatorname{cosec} \theta-1}=2 \sec \theta, 0^{\circ}<\theta<90^{\circ}$, then the value of $\frac{\tan \theta+2 \sec \theta}{\operatorname{cosec} \theta}$ is:
Option 1: $\frac{4+\sqrt{2}}{2}$
Option 2: $\frac{2+\sqrt{3}}{2}$
Option 3: $\frac{4+\sqrt{3}}{2}$
Option 4: $\frac{2+\sqrt{2}}{2}$
Correct Answer: $\frac{4+\sqrt{2}}{2}$
Solution : Given: $\frac{1}{\operatorname{cosec} \theta+1}+\frac{1}{\operatorname{cosec} \theta-1}=2 \sec \theta$ ⇒ $\frac{\operatorname{cosec} \theta - 1 + \operatorname{cosec} \theta + 1}{\operatorname{cosec}^2 \theta - 1} = 2 \sec \theta$ ⇒ $\frac{2 \operatorname{cosec} \theta}{\operatorname{cosec}^2 \theta - 1} = 2 \sec \theta$ ⇒ $\operatorname{cosec} \theta = \sec \theta (\operatorname{cosec}^2 \theta - 1)$ We
Question : Comprehension: Read the following passage and answer the questions given after it. Quarantine and self-isolation need not be monotonous and stifling. They can be the gateway to work, be it in the arts or the sciences, that define the history of the world. Isaac Newton, Charles Darwin, John Milton and Lord Byron used much time to add to their formidable body of work in science and literature. It was not called lockdown in their time, but they spent long spells in isolation when medicine was not as developed as it is now. The University of Cambridge, where all four were studied, delved into its archives to collate their activities during such periods of isolation centuries ago. Isaac Newton (Trinity College): Considered Trinity’s most accomplished alumni, he exemplified productivity during a pandemic. Like many in Cambridge during the Great Plague of 1655-56, he retreated to the countryside to escape the disease-ridden city and spent two extended periods at his family home in rural Lincolnshire. Newton thrived in isolation, and later described it as one of the most productive times in his life, finding the space to reflect on and develop his theories on optics, calculus, and the law of motion and gravity. It was during this time that he conducted his famous prism experiment. “He bored a hole through his window shutters to produce a single, thin beam of light to pass through two prisms, proving for the first time that prisms did not create colours, but merely separated colours that were already there,” the university’s researcher, Alisha Matthewson-Grand, wrote. “Indeed, Newton was so intellectually transformed by his period of isolation that later commentators have referred to his time away from Cambridge as his annus mirabilis, or his year of wonders.” Charles Darwin (Christ’s College): Darwin’s experience with isolation was not the result of a pandemic but his own chronic ill health. He suffered from a myriad of unexplained symptoms, including vertigo, vomiting, cramps, fatigue, anxiety and visual disturbances. He noted in his autobiography of 1876 that “few persons can have lived a more retired life than we [Darwin and his wife Emma] have done. Besides short visits to the houses of relations, and occasionally to the seaside or elsewhere, we have gone nowhere.” Darwin believed that periods of isolation and ill health helped his career. At home, he was free from the demands placed on other scientists (teaching, administrative work), and thus able to devote himself entirely to research; he wrote: “Ill-health, though it has annihilated several years of my life, has saved me from the distractions of society and amusement.” Lord Byron (Trinity College): In 1811, Lord Byron was forced to quarantine in Malta after returning from a cholera-ravaged Greece. He was furious at the prospect of spending 40 days in lockdown, a measure he considered to be draconian and unnecessary. While confined, he wrote ‘Farewell to Malta’, a satirical poem attacking the island for (among other things) “Its smoky towns and cloudy sky” and its “cursed street of stairs”. He references his quarantine explicitly in the first verse “Adieu, thou damned’st quarantine / That gave me fever, and the spleen!’. John Milton (Christ’s College): The author of ‘Paradise Lost’ spent some time away from Cambridge as a first-year undergraduate in 1626, when the town was hit by bubonic plague. He was home in London when he wrote Elegia Prima, his first Latin elegy. The work is an early example of his aptitude for verse composition, as well as his impressive flair for comedy. Question: Lord Byron was a:
Option 1: teacher
Option 2: scientist
Option 3: poet
Option 4: researcher
Correct Answer: poet
Solution : The right choice is the third option.
Explanation: Lord Byron was a renowned poet. This is evident from his activities during quarantine mentioned in the passage, where he wrote 'Farewell to Malta', a satirical poem. His poetic work is a clear indication of
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