Staff Selection Commission Combined Graduate Level Exam
Question : Value of $\sec^2\theta-\frac{\sin^2\theta-2\sin^4\theta}{2\cos^4\theta-\cos^2\theta}$ is:
Option 1: 1
Option 2: 2
Option 3: –1
Option 4: 0
Correct Answer: 1
Solution : $\sec^2\theta-\frac{\sin^2\theta-2\sin^4\theta}{2\cos^4\theta-\cos^2\theta}$ $=\sec^2\theta-\frac{\sin^2\theta(1-2\sin^2\theta)}{\cos^2\theta(2\cos^2\theta-1)}$ $=\sec^2\theta-\frac{\sin^2\theta(1-2\sin^2\theta)}{\cos^2\theta[2(1-\sin^2\theta)-1]}$ $=\sec^2\theta-\frac{\sin^2\theta(1-2\sin^2\theta)}{\cos^2\theta(1-2\sin^2\theta)}$ $=\sec^2\theta-\tan^2\theta$ $=1$ Hence, the correct answer is 1.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
(The meeting adjourned abruptly) by the chairperson after about an hour of intense deliberation.
(1) The meeting was adjourned abruptly
(2) The meeting was abruptly adjourned
(3)The meeting was adjourned abrupt
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
Explanation: The sentence is in the passive voice,(the voice in which the object experiences an action rather than the person that acts).
The structure for a passive sentence is: "Object + form of the be verb (in
Question : A, B, and C can do a job working alone in 6, 9, and 18 days, respectively. They all worked together for one day, and then A and B quit. How many days does C working alone take to complete the remainder of the job?
Option 1: 9
Option 2: 6
Option 3: 12
Option 4: 10
Correct Answer: 12
Solution : Given: A, B, and C can do a job working alone in 6, 9, and 18 days, respectively. One day's work for A = $\frac{1}{6}$ B's one day's work = $\frac{1}{9}$ C's one day's work = $\frac{1}{18}$ Let for $x$ days, C worked alone. A
Question : Which of the following launched NEAT 3.0 to provide the best-developed ed-tech solutions?
Option 1: Ministry of Law and Justice
Option 2: Ministry of Electronics and Information Technology
Option 3: Ministry of Social Justice and Empowerment
Option 4: Ministry of Education
Correct Answer: Ministry of Education
Solution : The correct answer is the Ministry of Education
Union Minister of Education, Dharmendra Pradhan, introduced the National Educational Alliance for Technology (NEAT 3.0) and unveiled regional language textbooks prescribed by the All India Council for Technical Education (AICTE). NEAT 3.0 marks a significant
Question : The given table shows the consumption of grains in terms of kilograms in a small village per day over the given set of years. Study the table and answer the question that follows.
For wheat grains, for the given set of years, the highest consumption is approximately how much percentage of that of all grains consumption per day in such a set of years?
Option 1: 13.52%
Option 2: 18.75%
Option 3: 15.32%
Option 4: 17.85%
Correct Answer: 18.75%
Solution : Highest consumption = 54 [is in 2018-2020] Total consumption in 2018-2020= 147 + 54 + 63 + 24 = 288 $\therefore$ Required percentage = $\frac{54}{288}\times$ 100 = 18.75% Hence, the correct answer is 18.75%.
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 he is and 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. 3.
Option 1: losing
Option 2: snapping
Option 3: cleaning
Option 4: limiting
Correct Answer: snapping
Solution : The correct answer is the second option, i.e., snapping.
The term snapping fits the context of the passage, suggesting a swift and dynamic movement of the wings as they interact with the rushing wind. The other options do not convey the same sense of movement
Question : Which is the first state in India to pass the Food Security Law ?
Option 1: Punjab
Option 2: Kerala
Option 3: Chhattisgarh
Option 4: Gujarat
Correct Answer: Chhattisgarh
Solution : The Correct Answer is Chhattisgarh
The Chhattisgarh government was the first to act and pass the nation's first food security law. The Food Security Act allows for the issuance of new ration cards in the names of female family heads. For one rupee per kilogram
Question : Directions: 1, 2, 3, 4, 5, and 6 are written on different faces of a dice. Three different positions of the same dice are shown below. Find the number on the face opposite to the one showing 4.
Option 1: 6
Option 3: 5
Option 4: 1
Correct Answer: 2
Solution : According to the dice rule, if two or three positions of the same dice are given with two common faces but in different orientations, then out of those two common faces the faces that are not common are opposite to each other. While considering Figures
Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the given statements. Statements: Some tests are exams. Some exams are viva. All viva are theories. Conclusions: I. Some theories are exams. II. Some theories are viva. III. Some tests are viva.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusions I and III follow
Option 4: All conclusions follow
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions – Conclusion (I): Some theories are exams – From the Venn diagram, it is evident that the two circles representing theories and exams
Question : Select the INCORRECTLY spelt word in the following sentence. The poor woman is in excruciating mental anguish, and her loved ones appear to have assisted in exarcerbating her traumatic experiences.
Option 1: anguish
Option 2: excruciating
Option 3: exarcerbating
Option 4: traumatic
Correct Answer: exarcerbating
Solution : The correct choice is the third option.
Explanation: The incorrectly spelled word in the sentence is exarcerbating, as the correct spelling of the word is exacerbating, which means to make a situation, problem, or feeling worse or more severe.
Therefore, the correct sentence
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