Staff Selection Commission Combined Graduate Level Exam
Question : Select the correct direct form of the given sentence.
He welcomed me and requested me to be seated.
Option 1: He said to me, "Welcome and sit down."
Option 2: He said to me, "Welcome. Please be seated."
Option 3: He said to me, "Welcome. Please to be seated."
Option 4: He said to me, "Be welcome. Please sit."
Correct Answer: He said to me, "Welcome. Please be seated."
Solution : The correct choice is the second option.
Narration Conversion:
Question :
Yeast is a _____.
Option 1:
bacteria
Option 2:
fungi
Option 3: algae
Option 4: bryophyte
Correct Answer:
Solution : The correct option is fungi.
Yeast is a single-celled microbe of the fungi kingdom. Because it can ferment carbohydrates into carbon dioxide and alcohol, yeast plays an important role in various applications. It is also used in scientific studies as a model organism, offering insights
Question : If $m x^m-n x^n=0$, then what is the value of $\frac{1}{x^m+x^n}+\frac{1}{x^m-x^n}$ terms of $x^n$ is: Where $x,m,n$ are $>0$
Option 1: $\frac{2 m n}{x^n(n^2+m^2)}$
Option 2: $\frac{2 m n }{x^n(m^2-n^2)}$
Option 3: $\frac{2 m n}{x^n\left(m^2+n^2\right)}$
Option 4: $\frac{2 m n }{x^n(n^2-m^2)}$
Correct Answer: $\frac{2 m n }{x^n(n^2-m^2)}$
Solution : Given, $mx^m − nx^n = 0$ ⇒ $mx^m = nx^n$ ⇒ $\frac{x^m}{x^n} = \frac{n}{m}$ Now, $\frac{1}{x^m+x^n}+\frac{1}{x^m-x^n}$ = $\frac{x^m-x^n + x^m+x^n}{(x^m+x^n)(x^m-x^n)}$ = $\frac{2x^m}{(x^m+x^n)(x^{2m}-x^n)}$ = $\frac{n-m+n+m}{(n+m)(n-m)}$ = $\frac{2n}{(n^2−m^2)}$ Now, the value of $\frac{1}{x^m+x^n}+\frac{1}{x^m−x^n}$ in terms of $x^n$ = $\frac{2n}{n^2-m^2}\times\frac{x^n}{x^n}$ = $\frac{2nm}{x^n(n^2-m^2)}$ [As $x^n=m$] Hence,
Question : Identify the segment in the sentence which contains a grammatical error. There was enough evidence to convict him on selling of fake medicines.
Option 1: to convict him
Option 2: fake medicines
Option 3: on selling of
Option 4: There was enough evidence
Correct Answer: on selling of
Solution : The correct choice is the third option.
In the given sentence, the phrase "on selling of" is incorrect. The correct usage should involve the noun form "sale" rather than the gerund "selling". Also, "of" is used to indicate possession or connection, typically
Question : Directions: In this question, 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 follows/follow from the statements. Statements: Some spoons are black. All black are crows. No crow is a plate. Conclusions: I. Some black are spoons. II. All crows are black. III. No plate is a crow.
Option 1: Only conclusion I follows
Option 2: Only conclusions I and III follow
Option 3: None of the conclusions follows
Option 4: Only conclusion II follows
Correct Answer: Only conclusions I and III follow
Solution : Based on the given statements, the Venn diagram will be –
Let's analyse the conclusions – Conclusion I: Some black are spoons – From the Venn diagram, it is clear that the circles that represent black and spoons overlap and
Question : The difference between a discount of 30% and two successive discounts of 20% and 10% on the Marked Price of an article is Rs.144. The marked price of the article is:
Option 1: Rs. 7,200
Option 2: Rs. 7,400
Option 3: Rs. 7,500
Option 4: Rs. 7,000
Correct Answer: Rs. 7,200
Solution : Given: The difference between a discount of 30% and two successive discounts of 20% and 10% on the marked price of an article is Rs.144. Two successive discounts of 20% and 10% are equivalent to, $(20+10-\frac{20×10}{100})$% = (30 – 2)% = 28%. Now, the
Question : Directions: The following bar diagram shows the total number of males and females in five different organisations. Study it carefully to answer the question.
Males from organisations A and B together form what percent of the total number of males from organisations C, D, and E together?
Option 1: 78.04%
Option 2: 87.44%
Option 3: 47.08%
Option 4: 74.08%
Correct Answer: 78.04%
Solution : As per the given graph, The total number of males from organizations A and B = 3500 + 4500 = 8000 The total number of males from organizations C, D, and E = 4750 + 2250 + 3250 = 10250 The required percentage = $\frac{8000}{10250}$
Question : Select the most appropriate ANTONYM of the word 'PENNILESS' from the given sentence.
Living in a house with a spacious lawn a proper parking space and a nice swimming pool is still a dream for many rich people in Mumbai.
Option 1: Rich
Option 2: Space
Option 3: Spacious
Option 4: Dream
Correct Answer: Rich
Solution : The first option is the correct choice.
In the sentence provided, the word penniless indicates a state of having little to no money or being extremely poor. The antonym of penniless is rich. Being rich signifies having abundant wealth or being financially well-off.
The
Question : In a food chain, the solar energy utilized by plants is only?
Option 1: 10 per cent
Option 2: 1 per cent
Option 3: 0.1 per cent
Option 4: 0.01 per cent
Correct Answer: 0.1 per cent
Solution : The correct answer is 0.1%
Plants in a food chain use just around 0.1% of the solar energy that reaches Earth. This is due to the inefficiency of photosynthesis, the process through which plants turn sunlight into energy. Plants also use part of
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. She hugged my mom and almost screamed when she saw me. B. It was a long ride before we finally reached. C. A plump, over-excited woman greeted us at the door. D. Apparently, she had seen me as a baby and behaved as if she didn't expect me to grow up!
Option 1: ADBC
Option 2: CABD
Option 3: BCAD
Option 4: DACB
Correct Answer: BCAD
Solution : The third option is the correct answer.
Beginning with the mention of a long ride (B), it sets the scene for the subsequent encounter.
Sentence C introduces a character, the overexcited woman, creating the context for the reader.
Following that, sentence A builds on the
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