Staff Selection Commission Combined Graduate Level Exam
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: $8 \sqrt{2}$
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 $8\sqrt3$.
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
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
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.
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
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
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.
Question : Directions: In the given question, the statement is followed by two conclusions. Which of the two conclusions is/are true? Statement: Z = E ≥ R > G < Y > Q = F Conclusions: I. R < F II. R ≥ Z
Option 1: Both conclusions I and II are true
Option 2: Only conclusion II is true
Option 3: Only conclusion I is true
Option 4: Neither conclusion I nor II is true
Correct Answer: Neither conclusion I nor II is true
Solution : Given: Statement: Z = E ≥ R > G < Y > Q = F
Let's analyse the given conclusions – Conclusion I: R < F→No relation can be established between R and F, so this statement is false.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Socrates is flying. No, he is (1)_______ The wings behind him beat in a calming rhythm (2)______ the cool air rushes past. His wings are all that matter, (3)______ at the rushing wind like the sails of some great sea vessel, the feathery appendages all he is and all he will ever want to be. His back muscles flex with the (4)_______ that takes him high above the ground. He feels the effort, of course, but sweeping into the sky does not require much of one. The (5)_______ is pleasurable, even exhilarating. With flight, there is freedom beyond description, an ecstasy bordering on emotion. Select the most appropriate option to fill in blank no. 2.
Option 1: unless
Option 2: much
Option 3: since
Option 4: while
Correct Answer: while
Solution : The correct answer is the fourth option, i.e., while.
The word while is used to indicate contrast or simultaneous action. In this context, it connects the rhythmic beating of the wings with the rushing of the cool air, conveying a sense of coordination or coexistence
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
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.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
My sister does not know whether tomorrow can be a holiday for her.
(1) whether tomorrow is a holiday to her.
(2) whether tomorrow will be a holiday for her.
(3) whether tomorrow is a holiday for her.
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
The use of "can be" in this context is not the most appropriate. When talking about a future event like a holiday, it is more natural to use "is" or "will be" to indicate the possibility
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
Correct Answer: YZ
Solution : Given:
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
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
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
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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