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Staff Selection Commission Sub Inspector Exam

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Question : In a certain school, 10% of the students have less than 75% attendance and are not allowed to sit in the exam, but 20% of the students who have less than 75% attendance are allowed to sit in the exam. What percentage of students in the school have less than 75% attendance?

Option 1: 30%

Option 2: 12.5%

Option 3: 15%

Option 4: 10.5%

Team Careers360 15th Jan, 2024

Correct Answer: 12.5%


Solution : Let the total number of students be $m$.
Let the number of students having less than 75% attendance be $n$.
Percentage of students having less than 75% attendance and are not allowed to sit in the exam = 10%
Percentage of students who have less

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Question : Comprehension:
Read the passage and answer the questions that follow.
Greek religious traditions encompassed a large pantheon of gods, complex mythologies, rituals, and cult practices. Greece was a polytheistic society and looked to its gods and mythology to explain natural mysteries as well as current events. Religious festivals and ceremonies were held throughout the year, and animal sacrifice and votive offerings were popular ways to appease and worship the gods. Religious life, rituals and practices were one of the unifying aspects of Greece across regions and poleis (cities, or city-states, such as Athens and Sparta). The Greek gods were immortal beings who possessed human-like qualities and were represented as completely human in visual art. They were moral and immoral, petty and just, and often vain. The gods were invoked to intervene and assist in all matters large, small, private, and public. City-states claimed individual gods and goddesses as their patrons. Temples and sanctuaries to the gods were built in every city. Many cities became cult sites due to their connection with a god or goddess and specific myths. For instance, the city of Delphi was known for its oracle and sanctuary of Apollo, because Apollo was believed to have killed a dragon that inhabited Delphi. The history of the Greek pantheon begins with the primordial deities Gaia (Mother Earth) and Uranus (Father Sky), who were the parents of the first of twelve giants known as Titans. Among these Titans were six males and six females. The males were named Oceanus, Hyperion, Coeus, Crius, Iapetus, and Kronos. The females were named Themis, Mnemosyne, Tethys, Theia, Phoebe, and Rhea. Kronos eventually overthrew Uranus and ruled during the mythological Golden Age. Over time, he and Rhea had twelve children who would become the Olympian gods. However, Kronos heard a prophecy that his son would overthrow him, as he did for Uranus. In an effort to avert fate, he ordered Rhea to allow him to devour each of the children upon their birth. Best known among the pantheon are the twelve Olympian gods and goddesses who resided on Mt. Olympus in northern Greece. Zeus, the youngest son of Rhea and Kronos, was hidden from his father instead of being swallowed. Once he became a man, he challenged his father’s rule, forcing Kronos to regurgitate the rest of his swallowed children. These children were Zeus’s siblings, and together they overthrew Kronos, making Zeus the father of gods and men.
Question:
Kronos devoured his children at birth because:

Option 1: his son was predicted to overthrow him

Option 2: he did not have faith in his wife

Option 3: he was a titan who hated children

Option 4: it was a cult practice to please the gods

Team Careers360 17th Jan, 2024

Correct Answer: his son was predicted to overthrow him


Solution : The correct choice is the first option.

Explanation:
Kronos devoured his children because of a prophecy that foretold one of his children would overthrow him, just as he had overthrown his own father, Uranus. He did this in an

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Question : In which of the following countries is the Kalahari Desert located?

Option 1: India

Option 2: Pakistan

Option 3: Botswana

Option 4: Kenya

Team Careers360 25th Jan, 2024

Correct Answer: Botswana


Solution : The correct answer is Botswana.

The Kalahari Desert is the second-largest desert in Africa after the Sahara Desert. It encompasses a large portion of Botswana and sections of Namibia, and South Africa. It is the world's seventh-largest desert. It is formed because of the

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Question : Find the fourth proportional to 0.48, 0.84, and 32.

Option 1: 65

Option 2: 34

Option 3: 56

Option 4: 43

Team Careers360 25th Jan, 2024

Correct Answer: 56


Solution : Let the fourth proportion be $d$.
$0.48: 0.84=32: d$
⇒ $\frac{0.48}{0.84}=\frac{32}{d}$
⇒ $\frac{4}{7}=\frac{32}{d}$
⇒ $d=7\times8$
$\therefore d=56$
Hence, the correct answer is 56.

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Question : The value of $\left(2 \cos ^2 \theta-1\right)\left[\frac{1+\tan \theta}{1-\tan \theta}+\frac{1-\tan \theta}{1+\tan \theta}\right]$ is:

Option 1: $2$

Option 2: $0$

Option 3: $\frac{\sqrt{3}}{2}$

Option 4: $1$

Team Careers360 25th Jan, 2024

Correct Answer: $2$


Solution : Given expression,
$\left(2 \cos ^2 \theta-1\right)\left[\frac{1+\tan \theta}{1-\tan \theta}+\frac{1-\tan \theta}{1+\tan \theta}\right]$
We know, $\tan\theta=\frac{\sin\theta}{\cos\theta}$
= $(2\cos^2\theta-(\sin^2\theta+\cos^2\theta))\left[\frac{1+\frac{\sin\theta}{\cos\theta}}{1-\frac{\sin\theta}{\cos\theta}}+\frac{1-\frac{\sin\theta}{\cos\theta}}{1+\frac{\sin\theta}{\cos\theta}}\right]$
= $(2\cos^2\theta-\sin^2\theta-\cos^2\theta))\left[\frac{\cos\theta+\sin\theta}{\cos\theta-\sin\theta}+\frac{\cos\theta-\sin\theta}{\cos\theta+\sin\theta}\right]$
= $(\cos^2\theta-\sin^2\theta)\left[\frac{(\cos\theta+\sin\theta)^2+(\cos\theta-\sin\theta)^2}{(\cos\theta-\sin\theta)(\cos\theta+\sin\theta)}\right]$
= $(\cos^2\theta-\sin^2\theta)\left[\frac{\cos^2\theta+\sin^2\theta+2\sin\theta\cos\theta+\cos^2\theta+\sin^2\theta-2\sin\theta\cos\theta}{\cos^2\theta-\sin^2\theta}\right]$
= $1+1$ [As $\cos^2\theta+\sin^2\theta=1$]
= $2$
Hence, the correct answer is $2$.

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Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

Reyansh (gave) most of his time to music.

(1) devoted

(2) spent

(3) lent

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 24th Jan, 2024

Correct Answer: 1


Solution : The correct choice is the first option.

Devoted implies a strong commitment or dedication to something. In the context of the sentence, it suggests that Reyansh is committed to spending a significant amount of time on music.

The meanings of the other options are as

177 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
98, 126, 165, 216, 280, ?

Option 1: 344

Option 2: 358

Option 3: 356

Option 4: 348

Team Careers360 25th Jan, 2024

Correct Answer: 358


Solution : Given:
98, 126, 165, 216, 280, ?

The pattern is as follows –

So, 358 is the required missing term in the series. Hence, the second option is correct.

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Question : Directions: If + means –, – means ÷, ÷ means × and × means +, then what will come in place of the (?) in the following equation?
15 × 30 + 15 – 3 ÷ 2 = ?

Option 1: 15

Option 2: 30

Option 3: 35

Option 4: 40

Team Careers360 20th Jan, 2024

Correct Answer: 35


Solution : Given:
+ means –, – means ÷, ÷ means × and × means +
15 × 30 + 15 – 3 ÷ 2 = ?

After replacing the symbols according to the question, the equation becomes –
= 15 + 30 – 15 ÷ 3

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Question : Identify the segment in the sentence which contains a grammatical error. If there is no error, then select the option 'No error'.
All of us were a little nervous when we came into this room today

Option 1: when we came into this room today

Option 2: a little nervous when

Option 3: All of us were

Option 4: No error

Team Careers360 24th Jan, 2024

Correct Answer: No error


Solution : The correct choice is the fourth option.

Explanation: The sentence is grammatically correct. It describes a past event where a group of people entered a room and felt a bit nervous. The tense usage is appropriate, with "were" indicating the past state of feeling

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Question : Directions: In a certain code MONKEY is XDJMNL. How is TIGER written as?

Option 1: QDFHS

Option 2: SDFHS

Option 3: SHFDQ

Option 4: UJHFS

Team Careers360 25th Jan, 2024

Correct Answer: QDFHS


Solution : Given:
MONKEY is XDJMNL.

Subtract 1 from the positional value of each letter according to the given pattern –

Thus, MONKEY is coded as XDJMNL.
Similarly, follow the same pattern for TIGER –

So, TIGER is coded as QDFHS. Hence, the first option is correct.

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