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Staff Selection Commission Combined Graduate Level Exam

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Question : The sum of the squares of three positive numbers is 323. If the sum of the squares of two numbers is twice the third, their product is:

Option 1: 255

Option 2: 260

Option 3: 275

Option 4: 270

Team Careers360 23rd Jan, 2024

Correct Answer: 255


Solution :
Let the three numbers be a, b and c.
According to the question,
a2 + b2 + c2 = 323 and a2 + b2 = 2c
⇒ c2 + 2c = 323
⇒ c2 + 2c – 323

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Question : Directions: A plane flies 100 km west, then turns south and flies 150 km, then turns west and flies 300 km, then turns to its right and flies 150 km. Where is it now with reference to its starting position?

Option 1: 400 km east

Option 2: 200 km west

Option 3: 400 km west

Option 4: 200 km east

Team Careers360 24th Jan, 2024

Correct Answer: 400 km west


Solution : Firstly, we will draw the diagram as per the given instructions –

Now, we have to find the distance from the starting point to the endpoint –

The distance from the starting point to the endpoint = 300 + 100 = 400 km

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Question : Directions: Select the related letter cluster from the given alternatives.
ZXVT : ACEG :: SQOM : ?

Option 1: FHJL

Option 2: HJLN

Option 3: JLMO

Option 4: IKMO

Team Careers360 23rd Jan, 2024

Correct Answer: HJLN


Solution : Given:
ZXVT : ACEG :: SQOM : ?

Like, opposite letters of ZXVT – Z→A; X→C; V→E; T→G
Thus, ZXVT is related to ACEG.
Similarly, follow the same pattern for SQOM –
S→H; Q→J; O→L; M→N

So, SQOM is related to HJLN. Hence, the second

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Question : In the given figure, $\Delta QPS \cong \Delta SRQ $. Find the measure of $\angle PSR$.
 

Option 1: 64°

Option 2: 74°

Option 3: 52°

Option 4: 82°

Team Careers360 25th Jan, 2024

Correct Answer: 74°


Solution : $\triangle$QPS = $\triangle$SRQ
$\angle$QPS = $\angle$SRQ (Congruent part of congruent triangles)
So, 106° = 2x + 12°
⇒ 106° – 12° = 2x
⇒ 94° = 2x
$\therefore$ x = 47°
$\angle$QPS = $\angle$SRQ = 106°
So, PQRS is a parallelogram.
$\angle$QSR = 180° –

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Question : Who is the author of Meghdoot?

Option 1: Shudraka

Option 2: Vishakhadatta

Option 3: Kalidasa

Option 4: Chanakya

Team Careers360 24th Jan, 2024

Correct Answer: Kalidasa


Solution : The correct answer is Kalidasa.

The concept of love is presented as cosmic love as well as the union, and separation of the lover, and the beloved, or, to put it another way, as human love, and separation. One of the greatest Sanskrit poets,

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Question : What is the role of ribosomes of a polysome?

Option 1: The ribosomes synthesise the fats.

Option 2: The ribosomes of a polysome translate the mRNA into proteins.

Option 3: The ribosomes of a polysome translate the rRNA into proteins.

Option 4: The ribosomes of a monosome translate the rRNA into proteins.

Team Careers360 23rd Jan, 2024

Correct Answer: The ribosomes of a polysome translate the mRNA into proteins.


Solution : The correct option is The ribosomes of a polysome translate the mRNA into proteins.

Ribosomes are cellular structures that play a crucial role in the synthesis of proteins. The polyribosome is the name given to

74 Views

Question : Select the most appropriate ANTONYM of the underlined word.
The new principal of the school is stern, yet he understands the needs of his subordinates.

Option 1: Flippant

Option 2: Lenient

Option 3: Desolate

Option 4: Noxious

Team Careers360 25th Jan, 2024

Correct Answer: Lenient


Solution : The correct choice is the second option.

Explanation:
Stern refers to someone who is strict, firm, or uncompromising in their manner. Lenient, on the other hand, means being more permissive, gentle, or tolerant rather than strict or harsh. It contrasts with the idea of being

12 Views

Question : Select the most appropriate option to fill in the blank.

The_____________ weapons which are easily available in the market are a big threat to the security of some nations.

Option 1: heated

Option 2: deadly

Option 3: casual

Option 4: valuable

Team Careers360 24th Jan, 2024

Correct Answer: deadly


Solution : The correct choice is the second option.

ExplanationDeadly means causing or being able to cause death or serious harm. In the context of discussing weapons and their threat to national security, deadly best describes the potential harm or danger they can cause.

The

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Question : Select the sentence that is free from spelling errors.

Option 1: One needs to abide by certain instructions in every society.

Option 2: One needs to adide by certain instructions in every society.

Option 3: One needs to abide by certain instructiones in every society.

Option 4: One needs to abide by certain instructions in every socity.

Team Careers360 24th Jan, 2024

Correct Answer: One needs to abide by certain instructions in every society.


Solution : The correct choice is the first option.

The sentence with no spelling error is: One needs to abide by certain instructions in every society.

The second option contains the incorrect spelling "adide" whereas the correct

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