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Question : If $\sec A=\frac{5}{4}$, then the value of $\frac{\tan A}{1+\tan ^2 A}-\frac{\sin A}{\sec A}$ is:
Option 1: 2
Option 2: 1
Option 3: 0
Option 4: 3
Correct Answer: 0
Solution : $\sec A=\frac{5}{4}$ $\cos A = \frac{1}{\sec A} = \frac{4}{5}$ $\sin A = \sqrt{1-\cos^2A}=\sqrt{1-(\frac{4}{5})^2}=\frac{3}{5}$ $\tan A = \frac{\sin A}{\cos A}=\frac{3}{4}$ $\therefore$ $\frac{\tan A}{1+\tan ^2 A}-\frac{\sin A}{\sec A}$ $= \frac{\frac{3}{4}}{1+(\frac{3}{4})^2}-\frac{\frac{3}{5}}{\frac{5}{4}}$ $= \frac{3\times 4}{16+9}-\frac{3\times4}{5\times 5}$ $=\frac{12}{25}-\frac{12}{25}$ $=0$ Hence, the correct answer is 0.
Question : The following table represents the number of scooters sold by 5 stores A, B, C, D, and E in 4 different months January, February, March, and April in the year 2022.
Find the ratio between the total number of scooters sold by stores A and B together in January and the total number of scooters sold by stores D and E together in March.
Option 1: 20 : 23
Option 2: 18 : 23
Option 3: 17 : 25
Option 4: 19 : 25
Correct Answer: 19 : 25
Solution : The total number of scooters sold by stores A and B together in January = 212 + 168 = 380 The total number of scooters sold by stores D and E together in March = 255 + 245 = 500 Required ratio =
Question : Select the correct active voice for the given sentence. They were shown some rare photographs by their cousin.
Option 1: Their cousin has shown them some rare photographs.
Option 2: Their cousin was showing them some rare photographs.
Option 3: Their cousin had showed them some rare photographs.
Option 4: Their cousin showed them some rare photographs.
Correct Answer: Their cousin showed them some rare photographs.
Solution : The fourth option is the correct answer.
The active voice is a type of sentence or clause in which the subject performs the action. It's a more direct and straightforward way of expressing ideas. In an active sentence, the
Question : Which state has become the first to launch a dedicated Semiconductor Policy in July 2022?
Option 1: Haryana
Option 2: Madhya Pradesh
Option 3: Kerala
Option 4: Gujarat
Correct Answer: Gujarat
Solution : The correct option is Gujarat.
Gujarat has established a dedicated semiconductor policy, making it the first state in the nation to do so. The state government has agreed to offer significant electricity, land, and water tariff subsidies to entrepreneurs who wish to engage in
Question : Directions: Select the Venn diagram that best represents the relationship between the following classes. Language, Punjabi, Hindi, Malayalam
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Based on the general information, Hindi, Punjabi, and Malayalam are the languages. So, their circles will lie inside the circle of languages. But, all these three languages are not related to each other. So, their three circles will be drawn separately.
Therefore, the Venn diagram is
Question : 'My Story' is an autobiography of which famous cricketer ?
Option 1: Kumar Sangakara
Option 2: Kevin Peterson
Option 3: Brendon Mccullum
Option 4: Michael Clarke
Correct Answer: Michael Clarke
Solution : The correct option is Michael Clarke.
My Story is an autobiography of the legendary cricketer, Michael Clarke. He was a former captain of the Australian national cricket team and is considered one of the greatest batsmen in the history of Australian cricket. The
Question :
The larvae of cockroach are called:
Caterpillar
Nymph
Option 3: Maggot
Option 4: Grub
Solution : The correct option is - Nymph
The slow metamorphosis of cockroaches is the process through which they grow. Egg, nymph, and adult are the three stages of this process. The hormones thyroxine control every transformation that occurs throughout metamorphosis.
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:
What is the central theme of the passage?
Option 1: Einstein and his life
Option 2: Atomic war and its consequences
Option 3: Einstein and his love for music
Option 4: Science and its bad side
Correct Answer: Atomic war and its consequences
Solution : The correct choice is the second option.
Explanation:
Throughout the passage, the central theme revolves around Einstein's reaction and distress over the consequences of atomic warfare. The emotional turmoil, the devastation caused by the atomic bombings on Hiroshima and Nagasaki, and
Question : Select the correct passive form of the given sentence.
He opened the window.
Option 1: The window is being opened by him.
Option 2: The window was open by him.
Option 3: The window was opened by him.
Option 4: The window is opened by him.
Correct Answer: The window was opened by him.
Solution : The third option is the correct choice.
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 voice becomes the subject in the passive
Question : Which Bill passed in the Lok Sabha in 2022 is for unification of three Municipal Corporations in one of the States/Union Territories of India?
Option 1: Karnataka Municipal Corporation (Amendment) Bill
Option 2: Chandigarh Municipal Corporation (Amendment) Bill
Option 3: Puducherry Municipal Corporation (Amendment) Bill
Option 4: Delhi Municipal Corporation (Amendment) Bill
Correct Answer: Delhi Municipal Corporation (Amendment) Bill
Solution : The correct answer is the Delhi Municipal Corporation (Amendment) Bill.
Introduced in the Lok Sabha in 2022, the Delhi Municipal Corporation (Amendment) Bill aims to amend the Delhi Municipal Corporation Act of 1957. The 2011 amendment by the Delhi Legislative Assembly
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