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Question : $\mathrm{O}$ is the centre of a circle and $\mathrm{A}$ is a point on a major arc $\mathrm{BC}$ of the circle. $\angle \mathrm{BOC}$ and $\angle \mathrm{BAC}$ are the angles made by the minor arc $\mathrm{BC}$ on the centre and circumference, respectively. If $\angle \mathrm{ABO}=40^{\circ}$ and $\angle \mathrm{ACO}=30^{\circ}$, then find $\angle \mathrm{BOC}$.
Option 1: $130^{\circ}$
Option 2: $140^{\circ}$
Option 3: $120^{\circ}$
Option 4: $150^{\circ}$
Correct Answer: $140^{\circ}$
Solution :
Given: That $O$ is the centre of a circle and $A$ is a point on a major arc $BC$ of the circle. $\angle BOC$ and $\angle BAC$ are the angles made by the minor arc $BC$ on the centre and circumference, respectively. Also $\angle ABO=40^{\circ}$
Question : Which Indian shuttler won the men's singles final at the Scottish Open in Glasgow, Scotland on 24 November 2019?
Option 1: Sameer Verma
Option 2: Lakshya Sen
Option 3: Arvind Bhatt
Option 4: Anand Pawar
Correct Answer: Lakshya Sen
Solution : The correct answer is Lakshya Sen.
Indian badminton player Lakshya Sen secured victory at the Scottish Open men's singles championship by defeating Brazilian Ygor Coelho. As the top seed, world number 41 Lakshya Sen clinched his fourth title in three months with an
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."
You will come (1) / to my sister's wedding tomorrow, (2) / isn't it? (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The question tag "isn't it" is not appropriate in this context. The sentence is structured as a statement followed by a question to seek confirmation. The contracted and negative version of the helping verb, followed
Question : Directions: If A ÷ B means that A is the brother of B, A × B means that A is the sister of B, and A – B means that A is the father of B then which of the following expressions shows that P is the father of R?
Option 1: P – Q × R
Option 2: P × Q – R
Option 3: P ÷ Q × R
Option 4: P – Q – R
Correct Answer: P – Q × R
Solution : Let's check the options – First option: P – Q × R According to the given expression, the family tree will be as follows – Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
Question : In triangle ABC, $\angle$ABC = 15°. D is a point on BC such that AD = BD. What is the measure of $\angle$ADC (in degrees)?
Option 1: 15
Option 2: 30
Option 3: 45
Option 4: 60
Correct Answer: 30
Solution : Given: In triangle ABC, $\angle$ABC = 15°. D is a point on BC such that AD = BD. Given that AD = BD. Then, $\angle$ABD = $\angle$BAD = 15° Now, in $\triangle$ABD ⇒ $\angle$ABD + $\angle$BAD + $\angle$ADB = 180° ⇒ $\angle$ADB = 180° –
Question : Comprehension:
Read the given passage and answer the questions that follow.
The sage of science, Einstein, was sitting in a depressive and pensive mood one evening. His eyes were brimming with tears. The pain was evident on his face. He peeped out of the window of his room. The sun had set a few minutes back. The sky was filled with a reddish glow. At this sunset, he felt that it was humanity that had sunk into devilish darkness and the reddish glow in the sky was the blood of humanity spilling all over the sky from earth. With tired steps, he walked back to his chair and settled down. It was the 9th of August 1945. Three days back, he had felt the same agony as if someone had torn him apart. He was deeply hurt and depressed when he heard on the radio that America had dropped an atomic bomb on the Japanese city, of Hiroshima. Today, within three days another bomb was dropped on another city, Nagasaki and lakhs of people had been killed.
He had heard that the blast released so much energy that it had paled all past destructions in comparison and death had played out a pitiable dance of destruction. The flames that broke out of the bomb were burning, melting, and exploding buildings. Scared of the heat of the bomb, people had jumped into lakes and rivers, but the water was boiling and the people too were burnt and killed. The animals in the water were already boiled to death. Animals, trees, herbs, and fragrant flowering plants were all turned into ashes. The atomic energy destruction had just not stopped there. It had entered the atmosphere there and had spread radiation that would affect people for generations to come and would also bring about destructive irreversible biological change in animals and plants.
As the news of the atomic attack reached Einstein, and he became aware of the glaring horror of the abuse of atomic energy, his distress and restlessness knew no bounds. He could not control himself and picked up his violin to turn his mind on to other things. While playing the violin, he tried to dissolve his distress in its sad notes, but couldn’t. He was burning on the embers of destruction; his heart was filled with an ocean of agony and tears just continued streaming uncontrollably out of his eyes. Night had fallen. His daughter came up and asked him to eat something as he had not taken anything for the last four days. His voice was restrained and he said, “I don’t feel like eating.”
He could not sleep that night. Lying down, he was thinking about how he had drawn the attention of the then-American President Roosevelt toward the destructive powers of an atomic bomb. He had thought that this would be used to scare Hitler and put an end to the barbarism that Hitler was up to. However, Roosevelt kept him in the dark and made false promises. Eventually, he abused Einstein’s equation of E = mc2 which resulted in destructive experiments. His actions had made science and scientists as murderers. Einstein kept on thinking for a long time. Eventually, he slipped into sleep. When he woke up at dawn, there was a new dawn in him too. The atomic threat had transformed his heart.
Question:
Select an appropriate title for the passage.
Option 1: War and Destruction
Option 2: Death in Hiroshima
Option 3: Einstein and his Violin
Option 4: Atom Bombs
Correct Answer: War and Destruction
Solution : The correct choice is the first option.
Explanation:
The central theme is not solely about the atom bombs themselves but the broader context of war and destruction. The passage discusses Einstein's distress and reaction to the atomic bombings of Hiroshima and Nagasaki, highlighting
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The burglar was __________ when he broke into the house and found himself surrounded by police officers.
Option 1: flabbergasted
Option 2: unimpressed
Option 3: bored
Option 4: unruffled
Correct Answer: flabbergasted
Flabbergasted means extremely surprised, shocked, or astonished. This is the correct option, as it conveys the sense of the burglar being taken aback or shocked upon breaking into the house and finding himself surrounded by police officers.
The
Question : Susan can type 12 pages in 6 minutes. Mary can type 6 pages in 12 minutes, working together, how many pages can they type in 32 minutes?
Option 1: 80
Option 2: 65
Option 3: 70
Option 4: 75
Correct Answer: 75
Solution : Susan can type 12 pages in 6 minutes. Mary can type 6 pages in 12 minutes. Total work = Time $\times$ Efficiency Susan can type 12 pages in 6 minutes. Number of pages Susan can type in 1 minute = $\frac{12}{6}$ = 2 Mary can
Question : The average of 100 observations was calculated as 35. It was found later, that one of the observations was misread as 83 instead of 53. The correct average is:
Option 1: 32.7
Option 2: 34.7
Option 3: 35.7
Option 4: 36.7
Correct Answer: 34.7
Solution : Given: The average of the 100 observations = 35 So, the sum of 100 observations = 100 × 35 = 3500 The correct value is 53 and the incorrect value is 83. Difference = 83 – 53 = 30 So, the correct average = $\frac{3500–30}{100}$
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error (S)" as your answer.
(P) According to one survey (Q) only those forests which were (R) not under village management succumbed from fires recently. (S) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
There is an error in the use of the preposition after the verb "succumbed", as it should be followed by the preposition "to" instead of "from". Moreover, the present perfect tense "have succumbed" should be used due to
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