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Question : If $(\sqrt 3 +1)^{2}=x+\sqrt 3 y$, then the value of $(x+y)$ is:
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Given: $(\sqrt{3}+1)^2 = x+\sqrt{3}y$ ⇒ $(3+1+2\sqrt{3})=x+\sqrt{3}y$ ⇒ $(4+2\sqrt{3})=x+\sqrt{3}y$ Comparing both sides, we get $x=4$ and $y =2$. Thus, $(x+y)=(4+2)=6$ Hence, the correct answer is 6.
Question : If $3^{10} × 27^{2}= 9^{2}×3^{n}$, then the value of $n$ is:
Option 1: 10
Option 2: 12
Option 3: 15
Option 4: 30
Correct Answer: 12
Solution : Given: $3^{10} × 27^{2}= 9^{2}×3^{n}$ Simplify the given expression for the same base, $⇒3^{10} × (3^{3})^{2}= 9^{2}×3^{n}$ $⇒(3^{10+6})= (3^{2})^{2}×3^{n}$ $⇒3^{16}= 3^{4}×3^{n}$ $⇒3^{16}= 3^{4+n}$ By comparing this, $⇒16=4+n$ $\therefore n =12$ Hence, the correct answer is 12.
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
I was surprised (1)______at the news that my father spared me, any thought, and second at my brother's compliment, (2)______ it was backhanded. Dhri (3)_______commented on my looks; nor did he encourage me to comment on his. Such useless (4)_______he believed, made people vain. Was this another (5)________of change?
Question: Select the most appropriate option to fill in the blank no. 4.
Option 1: ode
Option 2: disclosure
Option 3: babble
Option 4: talk
Correct Answer: talk
Solution : The fourth option is correct.
Therefore, the correct answer is talk.
Additional Information
Question : Negative ions that consist of a single atom are named by adding the suffix _______ to the stem of the element.
Option 1: -onium
Option 2: -ide
Option 3: -ic
Option 4: -ous
Correct Answer: -ide
Solution : The correct option is -ide.
When negative ions consist of a single atom, they are named by adding the suffix "-ide" to the stem of the element. These negative ions are called " anions."
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error."
The luxuries of the riches are maintained by depriving the poor of their dues.
(1) The luxuries of the riches
(2) the poor of their dues.
(3) are maintained
(4) No Error
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first option "The luxuries of the riches".
"The luxuries of the riches" should be changed to "The luxuries of the rich".
"The rich" is a plural noun used to refer to wealthy individuals, whereas "riches" refers to wealth
Question : Who was the first Indian and Asian tennis player to win an Olympic medal?
Option 1: Ankita Raina
Option 2: P. V. Sindhu
Option 3: Purav Raja
Option 4: Leander Paes
Correct Answer: Leander Paes
Solution : The correct answer is Leander Paes.
Leander Paes was the first Indian and Asian tennis player to win an Olympic medal. He achieved this feat by winning the bronze medal in men's singles tennis at the 1996 Atlanta Olympics.
Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'. He denied if he had caused the accident.
Option 1: not to had
Option 2: of having
Option 3: No improvement required
Option 4: that he had
Correct Answer: that he had
Solution : The correct choice is the fourth option.
The phrase if he had should be replaced with that he had to make the sentence grammatically accurate because the conjunction that is used to introduce the clause expressing what the person denied, followed by
Question : Four sentences are given, out of which there have spelling errors. Choose the sentence with all the correctly spelt words.
Option 1: What was the begining of the dispute?
Option 2: There is no comparision between the two books.
Option 3: She handlled the situation coolly.
Option 4: I got selected in the D category.
Correct Answer: I got selected in the D category.
Solution : The correct sentence is the fourth option.
Question : Direction: Study the bar diagram and answer the following question. The bar diagram shows the number of bicycles parked in the parking space of a hall at various points in time.
What is the average number of parked cycles as seen from the graph?
Option 1: 40
Option 2: 45
Option 3: 55
Option 4: 60
Correct Answer: 60
Solution : The number of cycles = 95 + 75 + 85 + 65 + 75 + 55 + 65 + 45 + 55 + 35 + 45 + 25 = 720 Total time = 12 hours The required average = $\frac{\text {Total number of cycles parked
Question : Identify the segment in the sentence which contains the grammatical error.
Our soldiers fought as fiercely that the enemy had to accept defeat.
Option 1: the enemy had to
Option 2: as fiercely that
Option 3: Our soldiers fought
Option 4: accept defeat
Correct Answer: as fiercely that
Solution : The second option is correct.
As should be replaced with the adverb so to correctly emphasise the degree or intensity with which the soldiers fought.
Therefore, the correct sentence is: Our soldiers fought so fiercely that the enemy had to accept defeat.
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