Staff Selection Commission Sub Inspector Exam
Question : If $\sin A+\sin ^2 A=1$, then the value of $\cos ^4 A+\cos ^6 A$ is:
Option 1: $\cos A$
Option 2: $\sin A$
Option 3: 1
Option 4: 0
Correct Answer: $\sin A$
Solution : Given: $\sin A+\sin ^2 A=1$ ⇒ $\sin A=1-\sin ^2 A$ ⇒ $\sin A=\cos ^2 A$ ⇒ $\sin^2 A=\cos ^4 A$ Now, $\cos ^4 A+\cos ^6 A$ = $\cos^2 A(\cos ^2 A+\cos ^4 A)$ Putting the values, we get: = $\sin A(\sin A+\sin^2 A)$ Since,
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
She is / the very ambitious woman / I have ever / come across.
Option 1: I have hard ever
Option 2: She is
Option 3: the very ambitious women
Option 4: come accross
Correct Answer: the very ambitious women
Solution : The error lies in the third option.
The modifier "very" should be replaced with "most" to make the sentence grammatically accurate. "Very" is used to intensify or emphasise the degree, while "most" is the superlative degree to express the highest level or
Question : Select the option that will improve the underlined part of the given sentence. People say different things at different times.
Option 1: should say fanciful things at different times
Option 2: says delectable things at different times
Option 3: says whimsical things at different times
Option 4: say diverse things at different times
Correct Answer: say diverse things at different times
Solution : The fourth option is the correct choice.
Explanation: The phrase "say diverse things at different times" is a valid alternative, and it does add a bit more variety to the language. It enhances the original sentence by using the
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
The curator told us (1) / that the museum was not opened (2) / to the public on Sunday. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The past form of the verb open i.e., opened should be replaced with open in this context as open is used as an adjective to describe the state of the museum.
Therefore, the correct sentence
Question : In which year did India officially join the Shanghai Cooperation Organisation (SCO) as a full-fledged member?
Option 1: 2016
Option 2: 2015
Option 3: 2018
Option 4: 2017
Correct Answer: 2017
Solution : The correct option is 2017.
India officially joined the Shanghai Cooperation Organisation (SCO) as a full-fledged member on June 9, 2017, during the organisation's summit held in Astana, Kazakhstan. The Shanghai Cooperation Organisation (SCO) is a Eurasian political, economic and security alliance. The SCO
Question :
Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
I do not agree _______ my colleagues in this matter.
Option 1: to
Option 2: of
Option 3: with
Option 4: on
Correct Answer: with
Solution : The correct answer is the third option.
The other prepositions do not fit well in the sentence. In the sentence, the phrase agree with is used to indicate the relationship between the subject I and the object, my colleagues.
Therefore, the complete sentence is:
Question : Directions: If A denotes +, B denotes ×, C denotes −, and D denotes ÷, then what will be the value of the following expression? 90 C 20 B 1 A 36 D 2 = ?
Option 1: 88
Option 2: 38
Option 3: 78
Option 4: 86
Correct Answer: 88
Solution : Given: A denotes +, B denotes ×, C denotes −, and D denotes ÷ 90 C 20 B 1 A 36 D 2 = ?
After replacing the letters with the mathematical signs, we get – = 90 − 20 × 1 + 36 ÷
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Appropriate manners are from society’s_______behaviour.
Option 1: system
Option 2: style
Option 3: cannons
Option 4: shrewd
Correct Answer: cannons
Solution : The correct choice is the third option.
Cannons are a set of fundamental principles according to which a society is organised. This is the correct option, as it aligns with the context of appropriate manners being derived from the fundamental principles or standards within a
Question : Select the most appropriate word, which means the same as the group of words given. To prepare written material for publication by correcting or modifying it
Option 1: crop
Option 2: summarise
Option 3: edit
Option 4: abridge
Correct Answer: edit
Solution : The third option is the correct choice.
Editing involves reviewing and making changes to written material to improve its clarity, accuracy, and overall quality. This process may include correcting grammar and punctuation errors, improving sentence structure, and ensuring consistency in style and tone.
Therefore, "edit"
Question : Directions: The letters of the word APRSWRO are not in order, if arranged properly they form a bird's name. What is the last letter of the word?
Option 1: O
Option 2: W
Option 3: P
Option 4: R
Correct Answer: W
Solution : Given: APRSWRO
The given word can be rearranged to form a bird name i.e. SPARROW.
So, the last letter of the word SPARROW is W. Hence, the second option is correct.
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