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Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. Some pencils are paper. II. No book is paper. Conclusions: I. Some pencils are not books. II. All books are pencils. III. Some papers are pencil.
Option 1: Both conclusions I and III follow
Option 2: Only conclusion II follows
Option 3: All conclusion follows
Option 4: Both conclusions II and III follow
Correct Answer: Both conclusions I and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some pencils are not books – From the Venn diagram, we can see that there is a portion of pencils
Question : Select the correct passive form of the given sentence.
Help the migrant workers.
Option 1: By whom are the migrant workers being helped?
Option 2: Why should the migrant workers be helped?
Option 3: We should help the migrant workers.
Option 4: Let the migrant workers be helped.
Correct Answer: Let the migrant workers be helped.
Solution : The fourth option is the correct answer.
Passive voice is a grammatical construction where the subject of the sentence undergoes the action expressed by the verb rather than performing it. In the active sentence, the subject is "you," or an
Question : Choose the word that is opposite in meaning to the given word.
Subtracted
Option 1: Separated
Option 2: Recap
Option 3: Adjunct
Option 4: Annihilatory
Correct Answer: Adjunct
Solution : The correct choice is the third option.
Subtracted means taking away or reducing something, while adjunct refers to something added or attached to a larger or more significant thing. So, it becomes the most appropriate antonym among the given options.
The meanings of the
Question : Select the correct passive form of the given sentence. The school is holding online activity classes for children.
Option 1: Online activity classes for children were held by the school.
Option 2: Online activity classes for children are being held by the school.
Option 3: Online school for children is being held by the activity classes.
Option 4: Online activity classes for children have been held by the school.
Correct Answer: Online activity classes for children are being held by the school.
Solution : The second option is the correct choice.
The passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence
Question : Directions: After interchanging the given two signs, what will be the value of the given equation? + and – 12 + 8 × 6 ÷ 3 – 11
Option 1: 7
Option 2: 5
Option 3: 9
Option 4: 8
Correct Answer: 7
Solution : Given: + and – are interchanged – 12 + 8 × 6 ÷ 3 – 11 = ?
After interchanging the given mathematical signs, we get – ⇒ 12 – 8 × 6 ÷ 3 + 11 ⇒ 12 – 8 × 2 + 11
Question : Directions: In 5 years, Rs. 5000 amounts to Rs.9000. In what time at the same rate will Rs.600 amount to Rs.900?
Option 1: 5 years
Option 2: 3 years
Option 3: 6 years
Option 4: 2 years
Correct Answer: 3 years
Solution : Given: In 5 years, Rs.5000 amounts to Rs.9000.
We have, Principal = 5000 Time = 5 yrs Amount = 9000 Rate = ? We know that, Amount (A) = P + {(P × R × T)/100} ⇒ 9000 = 5000 + {(5000 × R
Question : The following table shows the marks obtained out of 100, by 5 students in 5 different subjects.
What are the total marks scored by Ayush in all the subjects?
Option 1: 435
Option 2: 465
Option 3: 445
Option 4: 425
Correct Answer: 425
Solution : The total marks scored by Ayush in all the subjects = 88 + 80 + 90 + 82 + 85 = 425 Hence, the correct answer is 425.
Question : Comprehension:
Read the following passage and answer the questions that follow.
Indian mathematician Nikhil Srivastava, working at the University of California in Berkeley, is among the winners of the Prestigious 2021 Michael and Sheila Held Prize, announced last week by the US National Academy of Sciences (NAS). Adam W. Marcus, EPFL (Swiss Federal Institute of Technology, Lausanne), and Daniel Alan Spielman, Yale University, are the other two winners.
"Marcus, Spielman, and Srivastava solved longstanding questions on the Kadison-Singer problem and on Ramanujan graphs, and in the process, they uncovered a deep new connection between linear algebra, the geometry of polynomials, and graph theory that has inspired the next generation of theoretical computer scientists," the NAS said in a statement.
An Indian national, Nikhil was born in New Delhi in November 1983 and has attended educational institutions across the world—Syria, the UK, Saudi Arabia, and the US—as his father was an Indian Foreign Services officer, who has served as the Indian ambassador to Uganda and Denmark. At present, Nikhil is an associate professor of mathematics at UC Berkeley. The Michael and Sheila Held Prize is presented annually to honour outstanding, innovative, creative, and influential research in the area of combinatorial mathematics.
Question: What is the connection between the prize winners and the famous Indian mathematical genius Ramanujan?
Option 1: They explained Ramanujan's graphs in solving the Kadison-Singer problem.
Option 2: The prize winners were all admirers of Ramanujan's great contribution.
Option 3: The prize winners were all students of Ramanujan.
Option 4: They solved questions on Ramanujan's graphs that had not been solved for a long time.
Correct Answer: They solved questions on Ramanujan's graphs that had not been solved for a long time.
Solution : The correct choice is the fourth option.
As stated in the second paragraph of the passage, the prize winners, Marcus, Spielman, and Srivastava, solved longstanding questions on the Kadison-Singer problem
Question : Directions: Identify the diagram that best represents the relationship among the classes given. Whales, Fishes, Crocodiles
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Whales, fishes, and crocodiles are all different types of animals found in water bodies. They all are inherently different based on their size, eating habits, and the type of water body in which they live, so all three circles will be separate from each other.
The
Question : Select the most appropriate option that can substitute the underlined words in the following sentence.
The people who live here have had the same kind of lifestyle until hundreds of years.
Option 1: through hundreds of year
Option 2: for hundreds of years
Option 3: although hundreds of years
Option 4: since hundreds of year
Correct Answer: for hundreds of years
Solution : The correct choice is the second option.
This option correctly indicates the duration of time that the people have had the same lifestyle for hundreds of years denotes the length of time over which the lifestyle has remained unchanged.
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