Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: Some P is K. No K is T. Conclusions: I. All P is T. II. All T is K. III. Some P is not T.
Option 1: Only conclusion II follows
Option 2: Only conclusion III follows
Option 3: All conclusions follow
Option 4: Both conclusions II and III follow
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All P is T – From the Venn diagram, it is evident that there is no direct relation between P and T.
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.
I will tell you what I will do and what I will not do. I will not (1) _____________ that in which I no longer believe, (2) ____________ it calls itself my home, my fatherland, or my church: and I will try to (3) _______________ myself in some mode of life or art as (4) _____________ as I can and as wholly as I can, using for my defence the only arms I (5) ____________ myself to use: silence, exile and cunning.
Question:
Select the most appropriate option to fill in the blank number 1.
Option 1: serve
Option 2: drain
Option 3: lag
Option 4: debit
Correct Answer: serve
Solution : The right option is the first option.
The word serve here means to be in the service of or to fulfil a role or purpose.
In this context, the speaker is stating that there are certain things they won't assist or support. The sentence
Question : If $ \frac{(5x\:-\:y)}{(5x\:+\:y)}=\frac{3}{7},$ what is the value of $\frac{(4x^{2}\:+\:y^{2}\:–\:4xy)}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$?
Option 1: $0$
Option 2: $\frac{3}{7}$
Option 3: $\frac{18}{49}$
Option 4: $\frac{1}{6}$
Correct Answer: $0$
Solution : Given: $\frac{(5x\:-\:y)}{(5x\:+\:y)}=\frac{3}{7}$ $⇒35x-7y=15x+3y$ $⇒20x-10y=0$ $⇒2x-y=0$---------------(i) $\frac{(4x^{2}\:+\:y^{2}\:-\:4xy)}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$ = $\frac{(2x\:-\:y)^{2}}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$ Since from equation (i), we know $2x-y=0$, substituting the value in the above equation, we get, $=\frac{0}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}=$ 0 Hence, the correct answer is $0$.
Question : The ordinary and maximum tolerance limit of sound by human being is:
Option 1: 50 dB to 70 dB (decibel)
Option 2: 60 dB to 80 dB (decibel)
Option 3: 65 dB to 75 dB (decibel)
Option 4: 70 dB to 85 dB (decibel)
Correct Answer: 60 dB to 80 dB (decibel)
Solution : The correct option is 60 dB to 80 dB (decibel).
A human's normal sound tolerance level is between 60 and 80 decibels (dB). Sounds exceeding 80 dB are potentially dangerous and can cause hearing damage or pain, especially if exposed
Question : By which name is the historical road built by Sher Shah Suri known?
Option 1: Grand trunk road
Option 2: Expressway
Option 3: Highway
Option 4: Cart road
Correct Answer: Grand trunk road
Solution : The correct option is Grand Trunk Road.
We refer to the ancient route Sher Shah Suri constructed as the "Grand Trunk Road." It is also known as the "G.T. Road" and is among the Indian subcontinent's oldest and longest road networks.
Question : The Gross domestic product (GDP) estimation method measuring the aggregate value of goods and services produced by the firms is called _______.
Option 1: expenditure method
Option 2: consumption method
Option 3: income method
Option 4: product method
Correct Answer: product method
Solution : The correct answer is the product method.
One method of calculating a nation's national income is the product or value-added method. The output or inventory method is another name for this system. It shows how each producing unit contributes to the production process. Value-added
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 statements. Statements: l. All phones are laptops. ll. All pen drives are phones. lll. All pen drives are pens. Conclusions: I. All pens are phones. II. All laptops are pens. III. All pen drives are laptops.
Option 1: Only conclusion III follows
Option 2: Only conclusions I and II follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and III follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All pens are phones – From the Venn diagram, it is evident that the circles representing pens and phones overlap each other
Question : If x + y = 7 and xy = 19, calculate the value of x2 + y2.
Option 1: 17
Option 2: 12
Option 3: 11
Option 4: 19
Correct Answer: 11
Solution : Given: x + y = 7 and xy = 19. On squaring both sides of the equation x + y = 7, we get, (x + y)2 = 72 ⇒ (x2 + y2 + 2xy) = 49 ⇒ x2 +
Question : The greater of the two numbers whose product is 900 and whose sum exceeds their difference by 30 is:
Option 1: 60
Option 2: 75
Option 3: 90
Option 4: 100
Correct Answer: 60
Solution : Let the numbers be $x$ and $y$ where $x > y$. According to the question, ⇒ $(x + y) – (x – y) = 30$ ⇒ $x + y–x + y = 30$ ⇒ $y = \frac{30}{2} = 15$ Also, $xy = 900$ ⇒ $15x
Question : In an examination, 92% of the students passed and 480 students failed. If so, how many students appeared in the examination?
Option 1: 5,800
Option 2: 6,200
Option 3: 6,000
Option 4: 5,000
Correct Answer: 6,000
Solution : Given: In an examination, 92% of the students passed and 480 students failed. Let the number of the students who appeared in the examination = 100%. The number of the students failed = 100 – 92 = 8%. 8% = 480 The number of students
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