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Staff Selection Commission Combined Graduate Level Exam

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Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.
Delegates of the conflicting countries formally meet at a conference to ironing out their differences.

Option 1: No substitution

Option 2: to ironed

Option 3: for iron in

Option 4: to iron out

Team Careers360 11th Jan, 2024

Correct Answer: to iron out


Solution : The correct choice is the fourth option.

The phrasal verb "to iron out" means to solve or settle difficulties or problems. This is also the only option that is set in the correct tense, which is the present.

Therefore, the correct

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Question : Directions: In the following question, select the related number from the given alternatives.
68 : 130 :: 222 : ?

Option 1: 345

Option 2: 365

Option 3: 355

Option 4: 350

Team Careers360 16th Jan, 2024

Correct Answer: 350


Solution : Given:
68 : 130 :: 222 : ?

Like, 68 : 130 –
(4)3 + 4 = 64 + 4 = 68
(5)3 + 5 = 125 + 5 = 130
Numbers 4 and 5 are the consecutive numbers.
Similarly, 222 : ?

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Question : Select the correct direct form of the given sentence.
My teacher forbids to trust one’s relatives.

Option 1: My teacher says, “Never trust your relatives.”

Option 2: My teacher says, “Never trust my relatives.”

Option 3: My teacher says, “Never trusted your relatives.”

Option 4: My teacher said “Never trust your relatives.”

Team Careers360 16th Jan, 2024

Correct Answer: My teacher says, “Never trust your relatives.”


Solution : The correct choice is the first option.

When reporting what someone else said, we often use the reporting verb in the present tense if the original statement is still relevant or true in the present.

The steps of conversion

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Question : pH of the human blood is

Option 1: Slightly Acidic

Option 2: Highly Acidic

Option 3: Slightly Basic

Option 4: Highly Basic

Team Careers360 15th Jan, 2024

Correct Answer: Slightly Basic


Solution : The correct option is slightly basic.

Blood's pH is normally between 7.35 and 7.45, making it mildly alkaline. This narrow pH range is critical for the body's appropriate physiological function and cellular functions.
 

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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 the most appropriate ANTONYM of ‘set’ from the passage.

Option 1: Stand

Option 2: Get up

Option 3: Rise

Option 4: Level

Team Careers360 9th Jan, 2024

Correct Answer: Rise


Solution : The correct choice is the third option.

Explanation:

In the context of the passage, the word "set" is used to describe the sun setting. The opposite of setting is rising, and "rise" is a suitable antonym in this context. When the sun sets, it goes

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Question : Simplify the following expression.
$\frac{\sin \theta - 2 \sin ^3 \theta}{2 \cos ^3 \theta - \cos \theta}$

Option 1: $\tan \theta$

Option 2: $\sin \theta$

Option 3: $\sec \theta$

Option 4: $\cos \theta$

Team Careers360 18th Jan, 2024

Correct Answer: $\tan \theta$


Solution : Given: $\frac{\sin \theta - 2 \sin ^3 \theta}{2 \cos ^3 \theta - \cos \theta}$
$=\frac{\sin \theta(1 -2 \sin ^2\theta)}{\cos \theta( 2 \cos ^2\theta - 1)}$
$=\frac{\sin \theta(\sin ^2\theta + \cos^2\theta - 2 \sin ^2\theta)}{\cos \theta( 2\cos ^2\theta - \sin ^2\theta - \cos^2\theta)}$ [as $\sin

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Question : A Unitary form of government is that in which all the powers are concentrated in the hands of

Option 1: Local government

Option 2: Central government

Option 3: Provincial government

Option 4: Panchayats

Team Careers360 14th Jan, 2024

Correct Answer: Central government


Solution : The correct answer is the Central government.

In contrast to a federal government, which divides its power between the centre and the units, a unitary government places all of its authority in the central government. The central government is in charge, and the administrative

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Question : If $x>0$ and $x^4+\frac{1}{x^4}=254$, what is the value of $x^5+\frac{1}{x^5}?$

Option 1: $717 \sqrt{2}$

Option 2: $723 \sqrt{2}$

Option 3: $720 \sqrt{2}$

Option 4: $726 \sqrt{2}$

Team Careers360 16th Jan, 2024

Correct Answer: $717 \sqrt{2}$


Solution : Given: $x^4+\frac{1}{x^4}=254$
⇒ $x^4+\frac{1}{x^4}+2=254+2$
⇒ $(x^2+\frac{1}{x^2})^2=256$
⇒ $x^2+\frac{1}{x^2}=16$
Adding 2 on both sides,
⇒ $x^2+\frac{1}{x^2}+2=18$
⇒ $(x+\frac{1}{x})^2=18$
⇒ $x+\frac{1}{x}=\sqrt{18}=3\sqrt{2}$
Cubing on both sides
⇒ $x^3+\frac{1}{x^3}+3(3\sqrt{2})=(3\sqrt{2})^3$
⇒ $x^3+\frac{1}{x^3}=54\sqrt{2}–9\sqrt{2}$
⇒ $x^3+\frac{1}{x^3}=45\sqrt{2}$
So, $x^5+\frac{1}{x^5}=(x^3+\frac{1}{x^3})(x^2+\frac{1}{x^2})–(x+\frac{1}{x})$
⇒ $x^5+\frac{1}{x^5}=(45\sqrt{2})(16)–(3\sqrt{2})$
⇒ $x^5+\frac{1}{x^5}=720\sqrt{2}–3\sqrt{2}$
⇒ $x^5+\frac{1}{x^5}=717\sqrt{2}$
Hence, the correct answer is $717\sqrt{2}$.

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