Staff Selection Commission Sub Inspector Exam
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. South Korea is the most cosmetically (1)______ country on Earth. Beauty editors estimate that it is because of the government’s heavy investment (2)______ industry. It is ahead of its competitors, and its citizens (3)_____ twice as much on skincare products as consumers in the United States, the UK, and France. Korean shoppers are (4)______ the world’s most discerning. Eight out of 10 Korean women in their 20s and 30s use an app that (5)_____ like a cosmetics-specific, to debate the merits of various common ingredients. Question: Select the most appropriate option to fill in the blank number 4.
Option 1: perhaps
Option 2: although
Option 3: maybe
Option 4: though
Correct Answer: perhaps
Solution : The first option is the correct choice.
In this case, perhaps is used to express a degree of uncertainty or likelihood. While it might not strictly adhere to a grammatical requirement, it fits the context of the sentence by suggesting that Korean shoppers may be
Question : Which athlete won a Gold Medal for India in the Men's triple jump event after a gap of 48 years in the Asian Games?
Option 1: Amarjeet Singh
Option 2: Arpinder Singh
Option 3: Renjith Maheshwary
Option 4: Rakesh Babu
Correct Answer: Arpinder Singh
Solution : The correct option is Arpinder Singh.
Arpinder Singh achieved a historic milestone for India in the Men's triple jump event at the Asian Games held in Jakarta. His remarkable performance secured a Gold Medal, marking the end of a 48-year gap since India's
Question : If A is an acute angle and cot A + cosec A = 3, then the value of sin A is:
Option 1: $1$
Option 2: $\frac{3}{5}$
Option 3: $\frac{4}{5}$
Option 4: $0$
Correct Answer: $\frac{3}{5}$
Solution : Given: cot A + cosec A = 3.....................(1) By using the identities: cosec2A – cot2A = 1 ⇒ (cosec A + cot A) (cosec A – cot A) = 1 ⇒ cosec A – cot A = $\frac{1}{3}$....................(2) On adding both
Question : Study the given pie chart carefully and answer the question that follows. The degree-wise break-up of expenditure of a family in a Month. Total amount spent in a month = INR 56800.
What is the amount spent by the family on housing?
Option 1: INR 11,814
Option 2: INR 6,248
Option 3: INR 10,615
Option 4: INR 12,496
Correct Answer: INR 12,496
Solution : Total amount spent in a month = INR 56800 Amount spent on housing (in degrees) = 79.2° We know, amount spent = $\frac{\text{Given angle}}{\text{Total angle}}\times\text{Total amount spent}=\frac{79.2°}{360°}\times 56800=12496$ Hence, the correct answer is INR 12,496.
Question : In what proportion should a grocer mix wheat at INR 12 per kg and INR 25 per kg to make a mixture of worth INR 20 per kg?
Option 1: 8 : 3
Option 2: 3 : 5
Option 3: 5 : 8
Option 4: 5 : 7
Correct Answer: 5 : 8
Solution : Given: 1st wheat = INR 12 2nd wheat = INR 25 Mixture of wheats = INR 20 By using the alligation method: 1st wheat : 2nd wheat = 5 : 8 Hence, the correct answer is 5 : 8.
Question : Directions: The given pie chart shows the cars sold by a company in 2015-2016 of different models.
If the number of cars sold of model C is 22,000, then what will be the difference in the number of cars sold of model A and B?
Option 1: 800
Option 2: 1,200
Option 3: 1,000
Option 4: 1500
Correct Answer: 1,000
Solution : Number of cars sold of model C = $22,000$ $110^{\circ}$ ⇒ $22,000$ $1^{\circ}$ ⇒ $\frac{22000}{110}$ = $200$ -----------(i) Number of cars sold of model A ⇒ $45^{\circ}$ Number of cars sold of model B ⇒ $40^{\circ}$ The difference in the number of cars sold of
Question : Which among the following is the habitat of 'Dogfish'?
Option 1: River
Option 2: Sea
Option 3: Lake
Option 4: Marsh
Correct Answer: Sea
Solution : The correct option is Sea
Dogfish, also known as cartilage-forming fish, are found in marine habitats, including cold and temperate oceans, in both shallow and deep waters. They live in coastal environments, estuaries, continental shelves, slopes, and open oceans, where certain species have been
Question : According to the Koppen classification, which regions experience cold, humid winters with short summers?
Option 1: Western Rajasthan
Option 2: Northern Madhya Pradesh
Option 3: South of Goa
Option 4: Arunachal Pradesh
Correct Answer: Arunachal Pradesh
Solution : The correct answer is Arunachal Pradesh.
Koppen's classification of climatic regions of India is based on mean annual and major monthly temperature and precipitation data. The areas that experience cold, humid winters with short summers are Arunachal Pradesh, Sikkim and some parts of Assam.
Question : If $\cos A=\frac{1}{11}$, then find the value of cot A.
Option 1: $\frac{2 \sqrt{30}}{11}$
Option 2: $2 \sqrt{30}$
Option 3: $\frac{1}{2 \sqrt{30}}$
Option 4: $\frac{11}{2 \sqrt{30}}$
Correct Answer: $\frac{1}{2 \sqrt{30}}$
Solution : Given, $\cos A=\frac{1}{11}$ We know, $\sin^2\theta+\cos^2\theta=1$ ⇒ $\sin^2A+\cos^2A=1$ ⇒ $\sin^2A+\frac{1}{11^2}=1$ ⇒ $\sin^2A=1-\frac{1}{121}$ ⇒ $\sin^2A=\frac{121-1}{121}$ ⇒ $\sin^2 A=\frac{120}{121}$ ⇒ $\sin A=\sqrt{\frac{120}{121}}$ ⇒ $\sin A=\frac{2\sqrt{30}}{11}$ ⇒ $\cot A = \frac{\cos A}{\sin A}$ ⇒ $\cot A = \frac{\frac{1}{11}}{\frac{2\sqrt{30}}{11}}$ ⇒ $\cot A=\frac{1}{2\sqrt{30}}$ Hence, the correct answer is $\frac{1}{2\sqrt{30}}$.
Question : What will be the net discount (in percentage) after the two successive discounts of 40% and 20%?
Option 1: 60%
Option 2: 68%
Option 3: 52%
Option 4: 42%
Correct Answer: 52%
Solution : Given: First discount = 40% and second discount = 20% Net discount = $(x+y-\frac{xy}{100})$%, where $x$ and $y$ are two successive discounts. = $40+20-\frac{\text{40×20}}{100}$ = $60-\frac{\text{800}}{100}$ = $60-8$ = $52$ So, the net discount = 52% Hence, the correct answer is 52%.
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