Staff Selection Commission Sub Inspector Exam
Question : What is the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?
Option 1: 1269
Option 2: 1071
Option 3: 1089
Option 4: 1080
Correct Answer: 1089
Solution : 15 = 3 × 5 18 = 2 × 3 × 3 36 = 2 × 2 × 3 × 3 LCM of 15, 18, 36 = 2 × 2 × 3 × 3 × 5 = 180 Required number = $180x + 9$ So,
Question : Select the most appropriate ANTONYM of the capitalised word in the given sentence.
The favouritism of the boss led to many DISGRUNTLED employees.
Option 1: Disturbed
Option 2: Determined
Option 3: Pleased
Option 4: Miserable
Correct Answer: Pleased
Solution : The correct choice is the third option.
The word disgruntled describes individuals who are unhappy, dissatisfied, or discontented, often due to perceived injustice or unfair treatment. Pleased is the opposite. If someone is pleased, he is satisfied, content, or happy with a situation.
The meanings
Question : Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If the interest rate is increased by 3% it would amount to:
Option 1: Rs. 1056
Option 2: Rs. 1112
Option 3: Rs. 1182
Option 4: Rs. 992
Correct Answer: Rs. 992
Solution : Given: Principal = Rs. 800 Simple Interest = Rs. 120 Time period = 3 years Rate of interest be $R$ = 3% for extra interest Use the formula below. Simple Interest = $\frac{\text{Principle×Rate×Time}}{100}$ = $\frac{800×3×3}{100}$ = Rs. 72 So, the total amount received =
Question : The area of a field in the shape of a hexagon is $1944 \sqrt{3} \mathrm{~m}^2$. What will be the cost (in INR) of fencing it at the rate of 11.50 per metre?
Option 1: 2,785
Option 2: 2,484
Option 3: 3,200
Option 4: 2,256
Correct Answer: 2,484
Solution : Area of the hexagon field = 1944$\sqrt{3}$ m$^2$ The rate of fencing the area = 11.50 per metre Area of the regular hexagon is $3\sqrt{3} × (\frac{a^2}{2})$ and its perimeter is $6a$, where $a$ is the side of the regular hexagon. Cost of the fencing
Question : Two circles of radius 13 cm and 15 cm intersect each other at points A and B. If the length of the common chord is 12 cm, then what is the distance between their centres?
Option 1: $\sqrt{145}+\sqrt{184}$
Option 2: $\sqrt{131}+\sqrt{181}$
Option 3: $\sqrt{145}+\sqrt{169}$
Option 4: $\sqrt{133}+\sqrt{189}$
Correct Answer: $\sqrt{133}+\sqrt{189}$
Solution : Radius is 13 cm and 15 cm Common chord = 12 cm and Half length of the chord = 6 cm Let the distance of the centre of the circle with a radius of 15 cm is $x$. ⇒ H$^{2}$ = P$^{2}$ + B$^{2}$ ⇒
Question : Select the most appropriate synonym of the given word. DESPISE
Option 1: approve
Option 2: abhor
Option 3: admire
Option 4: adore
Correct Answer: abhor
Solution : The correct choice is the second option.
Explanation: Despise means to feel contempt or intense dislike for someone or something. Abhor similarly means to regard with disgust or hatred, making it a suitable synonym for despise.
The meanings of the other options are as
Question : Select the option that can be used as a one-word substitute for the given group of words.
The arrangement of events or dates in the order of their occurrence
Option 1: Chronology
Option 2: Axiom
Option 3: Serially
Option 4: Docket
Correct Answer: Chronology
Solution : The correct choice will be the first option.
The one-word substitute for the given group of words is "chronology".
Explanation:
The term chronology refers to the science of arranging events or dates in their proper sequence or order of occurrence. It encompasses the systematic organisation
Question : Anandi bought a smartwatch from an electronic store for Rs.4,400. Since she had less money, she paid Rs.2,000 for the down payment and the shopkeeper offered her an alternative to pay Rs.2,440 after 1 month. Find the rate of interest being charged at simple interest by the shopkeeper in this instalment option.
Option 1: 20%
Option 2: 10%
Option 3: 22%
Option 4: 15%
Correct Answer: 20%
Solution : Anandi bought a smartwatch from an electronic store for = Rs.4,400 Down payment = Rs.2,000 Alternative to pay after 1 month = Rs.2,440 Simple Interest (SI) = $\frac{(\text{P} × \text{T} × \text{R})}{100}$ where P is the principal, T is the time taken and R is
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%
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
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
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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