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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\left(x-\frac{1}{x}\right)^2=12$, what is the value of $\left(x^2-\frac{1}{x^2}\right)$, given that $x>0$?

Option 1: $6 \sqrt{2}$

Option 2: $8 \sqrt{3}$

Option 3: $6 \sqrt{3}$

Option 4: $8 \sqrt{2}$

Team Careers360 23rd Jan, 2024

Correct Answer: $8 \sqrt{3}$


Solution : Given,
$\left(x-\frac{1}{x}\right)^2=12$
⇒ $x^2+\frac{1}{x^2}=12+2$
⇒ $x^2+\frac{1}{x^2}+2=12+2+2$
⇒ $x^2+\frac{1}{x^2}+2(x)(\frac{1}{x})=12+2+2$
⇒ $(x+\frac{1}{x})^2=16$
⇒ $(x+\frac{1}{x})=4$
And, $\left(x-\frac{1}{x}\right)=2\sqrt3$
Now,$\left(x^2-\frac{1}{x^2}\right)$
= $(x-\frac{1}{x})(x+\frac{1}{x})$
= $4\times2\sqrt3$
= $8\sqrt3$
Hence, the correct answer is $8\sqrt3$.

24 Views

Question : Lok Sabha Secretariat comes under the direct control of

Option 1: Ministry of Home Affairs

Option 2: Ministry of Parliamentary Affairs

Option 3: Speaker of Lok Sabha

Option 4: President

Team Careers360 23rd Jan, 2024

Correct Answer: Speaker of Lok Sabha


Solution : The correct answer is Speaker of Lok Sabha.

The Lok Sabha Secretariat, which is overseen by the Lok Sabha Secretary, is directly under the control of the Lok Sabha Speaker. Only the Speaker of the Lok Sabha is subject to administrative oversight

23 Views

Question : Select the most appropriate meaning of the underlined idiom in the given sentence.

When the District Attorney asked the convict about details of the day of the crime, he started beating about the bush.

Option 1: Being excessively aggressive.

Option 2: Accusing others of the crime.

Option 3: Speaking in a confusing manner without giving a correct answer.

Option 4: Trying to invoke sympathy.

Team Careers360 25th Jan, 2024

Correct Answer: Speaking in a confusing manner without giving a correct answer.


Solution : The correct choice is the third option.

The expression "beating about the bush" means to avoid answering a question directly or to evade providing specific details or information about a topic.

In this context, when

20 Views

Question : Select the most appropriate meaning of the given idiom.

Bad blood

Option 1: ill feeling

Option 2: poor quality

Option 3: low status

Option 4: hard luck

Team Careers360 23rd Jan, 2024

Correct Answer: ill feeling


Solution : The first option is the correct answer.

"Bad blood" typically conveys a sense of animosity or hostility between individuals or groups. "Ill feeling" captures this notion effectively, indicating negative emotions or resentment that exist between parties.

Therefore, the correct answer is ill-feeling.

18 Views

Question : Comprehension:
Read the following passage and answer the questions given after it.
The severe cyclonic storm, Nisarga, which made landfall south of Alibag in Maharashtra’s Raigad district on Wednesday at 11.30 a.m. is an indication of an increasing frequency of severe cyclones developing in the Arabian Sea in the past decade, a trend that studies have linked to climate change. In the past two years, there have been seven cyclones in the Arabian Sea, though, according to the India Meteorological Department (IMD), the ratio of cyclones in the Arabian Sea and the Bay of Bengal — which just witnessed the destructive cyclone Amphan on May 21 — is 1:4. The Intergovernmental Panel on Climate Change (IPCC) last year came out with a special report, Ocean and Cryosphere in a Changing Climate, in which it said that extreme rainfall and extreme sea level events associated with some tropical cyclones are being seen to have a cascading impact on coastal areas.
“There is emerging evidence for an increase in the annual global proportion of Category 4 or 5 tropical cyclones in recent decades,” the IPCC report had said. A category 4 cyclone has a wind speed of 209-251 kmph, and is referred to as an extremely severe cyclonic storm, while a category 5 cyclone has a wind speed of more than 252 kmph, and is referred to as a super cyclone. The IPCC report refers to a 2017 study led by the Atmospheric and Oceanic Sciences Program, Princeton University, USA, which found that in 2014 and 2015, post-monsoon extremely severe cyclonic storms (ESCS) were first observed over the Arabian Sea causing widespread damage.
The study had concluded that climate change had led to an increase in the occurrence of ESCSs in the Arabian Sea.“Our research suggests that cyclones would be more frequent during the post-monsoon season (October-December) by a series of climate model simulations. However, we didn’t find any significant changes in cyclone activity during the pre-monsoon (April-June) season through the climate simulations. It is very difficult to identify if a cyclone (like Nisarga) is generated in line with climate change,” said Hiroyuki Murakami, the lead author of the study. “Coastal hazards will be exacerbated by an increase in the average intensity, magnitude of storm surge, rising mean sea levels and precipitation rates of tropical cyclones,” the IPCC report further stated.
Question:
The passage is mainly focused on:

Option 1: the research on super cyclones

Option 2: the effect of climate change on cyclone Nisarga

Option 3: the frequency of cyclones in the Arabian Sea and Bay of Bengal

Option 4: the link of frequent cyclones with climate change

Team Careers360 24th Jan, 2024

Correct Answer: the link of frequent cyclones with climate change


Solution : The right choice is the fourth option.

Explanation: The passage highlights how climate change is linked to a rising number of severe cyclones in the Arabian Sea. It cites a specific cyclone, Nisarga, as an example.

13 Views

Question : Direction: In the given question, select the related letter from the given alternatives.

AB : NO :: LM : ?

Option 1: OL

Option 2: KP

Option 3: PK

Option 4: YZ

Team Careers360 25th Jan, 2024

Correct Answer: YZ


Solution : Given:

AB : NO :: LM : ?

Here, each letter in the letter clusters are consecutive alphabet. 

Now, let's check each option:

First option: OL; Letters are not consecutive alphabets.

Second option: KP; Letters are not consecutive alphabets.

Third option: PK; Letters are not

25 Views

Question : Select the most appropriate meaning of the given idiom.

A perfect storm

Option 1: Pretty good judgement

Option 2: Healing from trauma

Option 3: The worst possible situation

Option 4: Appropriate for all occasions

Team Careers360 25th Jan, 2024

Correct Answer: The worst possible situation


Solution : The correct answer is the third option.

A perfect storm refers to a situation in which a combination of factors or events leads to the worst possible result.

The meanings of the other options are as follows:

  • Pretty good judgment: It means

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