Staff Selection Commission Combined Graduate Level Exam
Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.
Option 1: 448
Option 2: 576
Option 3: 480
Option 4: 512
Correct Answer: 448
Solution : Let the two numbers be $a$ and $b$ $(a+b)^{3}=1728$ ⇒ $a+b=\sqrt[3]{1728}=12$............I $ab=32$ given, Now, $(a+b)^2-(a-b)^2=4ab$ ⇒ $(a-b)^2 = 12^2-4\times 32$ ⇒ $(a-b)^2 = 16$ ⇒ $a-b=4$.................II By adding eq. I and eq. II $2a=16$ ⇒ $a=8$ Put $a=8$ in eq. I ⇒ $8 +b =12$
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bold part of the sentence. In case no improvement is needed, select "No Improvement".
Migrant workers can be seen working on many of the building places in New Delhi.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct option is the first option, as "sites" is a more precise and suitable word to describe the places where the workers are working, making the sentence clearer and more accurate.
The meanings of the other options are as follows:
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).
Sunil was acting strange when I saw him.
(1) strangely
(2) stranger
(3) more strange
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct answer is the first option.
Explanation: This option is the correct choice because it replaces the adjective "strange" with the adverb "strangely", which is the appropriate word to describe how Sunil was acting. Adverbs modify verbs, and in this case, "strangely" modifies the
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.
Academic life has (1) _________ demanding for students as a result of different internal and external expectations. Teenagers are especially (2)__________ to academic stress because they go through so many personal and social changes. As a result, designing effective and efficient (3) _________ solutions requires a thorough understanding of the causes and consequences of academic stress. Exams are one of the (4)_________ aspects of anyone's life. Exams are stressful for everyone, whether they are students or adults because everyone wants to perform well and no one wants to fail as to avoid (5) ________ in future.
Question:
Select the most appropriate option to fill in the blank number 2.
Option 1: scared
Option 2: prone
Option 3: liable
Option 4: resistance
Correct Answer: prone
Solution : The second option is correct.
The whole paragraph implies the problems faced by younger generations in academic life.
Prone means likely to suffer from something, which is the most appropriate choice to fill in the given blank.
The meanings of the other words are:
Scared
Question : Direction: Some letters are given with numbers from 2 to 9. Select the sequence of numbers that arrange the letters into a meaningful word.
Option 1: 3, 4, 6, 2, 9, 5, 8, 5, 2, 9, 7
Option 2: 3, 6, 2, 4, 2, 9, 5, 7, 5, 9, 5
Option 3: 3, 4, 2, 2, 6, 5, 9, 7, 8, 9, 5
Option 4: 3, 4, 2, 6, 5, 9, 2, 8, 5, 7, 9
Correct Answer: 3, 4, 2, 6, 5, 9, 2, 8, 5, 7, 9
Solution : Given:
Let's compare the given options –
First option: 3, 4, 6, 2,
Question : Select the option that expresses the given sentence in active voice. Let these ancient texts be preserved for posterity.
Option 1: Let us preserve these ancient texts for posterity.
Option 2: You must preserve these ancient texts for posterity.
Option 3: Let these ancient texts preserve us for posterity.
Option 4: We have to preserve these ancient texts for posterity.
Correct Answer: Let us preserve these ancient texts for posterity.
Solution : The first option is the correct answer.
In the original passive sentence, the doer of the action is not explicitly mentioned. In active voice, we introduce a clear doer of the action, which is us. The original passive
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. This liquid shines in the sunlight and attracts insects. B. As soon as an insect touches the hair, it gets stuck fast to the leaf. C. Each hair has a drop of sticky liquid at its end. D. The sundew plant has leaves covered with little hair.
Option 1: BADC
Option 2: ACBD
Option 3: CBAD
Option 4: DCAB
Correct Answer: DCAB
Solution : The correct choice is the fourth option: DCAB.
The paragraph starts with sentence D, which introduces the sundew plant and its characteristic features, followed by sentence C, which provides additional information about each hair on the leaves, mentioning the presence of a drop of
Question : The length of the intercept of the graph of the equation $9x-12y=108$ between the two axes is:
Option 1: 15 units
Option 2: 9 units
Option 3: 12 units
Option 4: 18 units
Correct Answer: 15 units
Solution : Given: The graph of the equation is $9x–12y=108$. Substitute $x=0$ in the above equation, we get, $9\times0 -12y=108$ ⇒ $–12y=108$ ⇒ $y=–9$ Substitute $y=0$ in the equation $9x-12y=108$, we get, $9x-12\times0=108$ ⇒ $9x=108$ ⇒ $x=12$ Using Pythagoras theorem in $\triangle BOA$, we get, $AB^2=
Question : The current spell of cold wave in the US has been a fall out of the :
Option 1: polar vortex
Option 2: biodiversity and habitats
Option 3: climate and energy
Option 4: political administration
Correct Answer: polar vortex
Solution : The correct answer is Polar Vertex.
Cold spells in United States of America is because of polar vortex. Polar vortex is a large area of low pressure on both the poles of the earth. Northern Polar Vortex shifts southwards because of jet streams, which
Question : To safeguard public property and to abjure violence is a ___________in the Indian Constitution.
Option 1: fundamental duty
Option 2: social ethic
Option 3: fundamental right
Option 4: directive principle of state policy
Correct Answer: fundamental duty
Solution : The correct option is the fundamental duty.
To safeguard public property and to abjure violence is a "fundamental duty" in the Indian Constitution. The fundamental duties were added to the Indian Constitution by the 42nd Amendment Act in 1976. These duties are meant
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