Staff Selection Commission Combined Graduate Level Exam
Question : The positive square root of [0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4 (0.6 + 0.4)] is equal to:
Option 1: 2.1736
Option 2: 1
Option 3: 0.21736
Option 4: 0.072
Correct Answer: 1
Solution : 0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4 (0.6 + 0.4) = 0.63 + 0.43 + 3 × 0.6 × 0.4 (0.6 + 0.4) The equation is in the form of (a + b)
Question : If $\left (4x+\frac{1}{x} \right)=5,x\neq 0,$ then the value of $\frac{5x}{4x^{2}+10x+1}$ is:
Option 1: $\frac{1}{2}$
Option 2: $\frac{1}{3}$
Option 3: $\frac{2}{3}$
Option 4: $3$
Correct Answer: $\frac{1}{3}$
Solution : Given: $(4x+\frac{1}{x})=5$ ⇒ $\frac{4x^{2}+1}{x}=5$ ⇒ $4x^{2}+1=5x$ ⇒ $4x^{2}=5x-1$ Now, putting the value of $4x^{2}$ in $\frac{5x}{4x^{2}+10x+1}$ $=\frac{5x}{5x–1+10x+1}=\frac{5x}{15x}=\frac{1}{3}$ Hence, the correct answer is $\frac{1}{3}$.
Question : Direction: The table below shows the percentage of literate people in 6 cities. This table also shows the ratio of males to females among literate people.
Percentage of literate people of any city =$\frac{\text{Literate people of the city}}{\text{Total population of the city}} × 100$ The populations of the 6 cities are 250000$,$ 200000$,$ 220000$,$ 300000$,$ 150000 and 400000 respectively. What is the correct order of the number of literate people in these cities?
Option 1: City 6 > City 1 > City 4 > City 2 > City 3 > City 5
Option 2: City 4 > City 6 > City 1 > City 2 > City 3 > City 5
Option 3: City 6 > City 4 > City 1 > City 3 > City 2 > City 5
Option 4: City 6 > City 1 > City 4 > City 3 > City 2 > City 5
Correct Answer: City 6 > City 1 > City 4 > City 3 > City 2 > City 5
Solution : In city 1, there are 80% of 250000 literate people, i.e. $80 \times \frac{250000}{100}=200000$ literate people. In city 2, there are 85% of the 200000 literate people, i.e. $85
Question : Directions: In the following question, find the wrong number in the series. 28, 33, 31, 36, 34, 29
Option 1: 29
Option 2: 36
Option 3: 30
Option 4: 34
Correct Answer: 29
Solution : Given: 28, 33, 31, 36, 34, 29
Add 5 and subtract 3 alternatively from each number to get the next number of the series. 28 + 5 = 33; 33 – 2 = 31; 31 + 5 = 36; 36 – 2 = 34; 34
Question : Which of the following animals has the longest life span?
Option 1: Elephant
Option 2: Crocodile
Option 3: Dog
Option 4: Tortoise
Correct Answer: Tortoise
Solution : The correct option is Tortoise.
The tortoise has the longest lifespan. Some tortoise species, such as the Galapagos tortoise, may live for well over 100 years, with some individuals living for more than 150 years. Crocodiles, elephants and dogs, on the other hand, have
Question : Directions: If REDUCE = 56, RECYCLE = 71, then REUSE = ?.
Option 1: 65
Option 2: 68
Option 3: 69
Option 4: 70
Correct Answer: 68
Solution : Given: REDUCE = 56, RECYCLE = 71.
Add the place value of the letters to get the required code –. Like the place value of the letters REDUCE; R→18; E→5; D→4; U→21; C→3; E→5 REDUCE→18 + 5 + 4 + 21 + 3 + 5
Question : Select the option that expresses the given sentence in passive voice. Light the lamp of knowledge in every heart.
Option 1: Let the lamp of knowledge being lighted in every heart.
Option 2: Let the lamp of knowledge be lit in every heart.
Option 3: Let the lamp of knowledge be lighting every heart.
Option 4: Let the lamp of knowledge light in every heart.
Correct Answer: Let the lamp of knowledge be lit in every heart.
Solution : The second option is the correct answer.
The object in the original sentence is the lamp of knowledge in every heart. This is what we want to bring to the forefront of passive construction. In the
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
The road from (1) / my house (2) / to temple is full of potholes. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The third option is appropriate because in this sentence there is an error in the article. 'The' should be used before the noun 'temple' as it refers to a particular temple as it is noun.
Hence, the correct statement must be "The road from my
Question : According to the second law of motion, for a given force, acceleration is inversely proportional to the _______ of the object.
Option 1: density
Option 2: volume
Option 3: force
Option 4: mass
Correct Answer: mass
Solution : The correct answer is mass.
According to the second law of motion formulated by Isaac Newton, for a given force, acceleration is inversely proportional to the mass of the object. This relationship is described by the equation F = ma, where 'F' is the
Question : Comprehension:
Read the following passage and answer the questions given after it.
The number of Indian students going abroad for higher studies has increased by 68.79 per cent in the past year, according to data provided by the Minister of State in the Ministry of Education, Subhas Sarkar. As per the data provided by him in the Lok Sabha, the number of Indians enrolled in foreign varsities increased from 4.44 lakh in 2021 to 7.5 lakh in 2022. He clarified that while the Bureau of Immigration and Ministry of Home Affairs maintain departure and arrival data of Indians, there is no index for capturing the category of Indians going abroad for higher education.
"Purpose of Indians going abroad for higher education is captured manually based either on their verbal disclosure or the type of visa of the destination country produced by them at the time of immigration clearance," Sarkar said.
According to the data provided by the ministry, the number of Indian nationals increased from 4.54 lakh in 2017 to 5.17 lakh in 2018. There was a significant increase in 2019 as well, with 5.86 lakh students flying out of the country. However, during the COVID-19 pandemic, the number of Indian nationals in foreign varsities saw a drastic dip as only 2.59 lakh students were registered. While the number continued to remain low, it saw a slight increase in 2021 with 4.44 lakh registrations. However, the number has significantly jumped to 7.5 lakh in 2022. The increase in the number of Indian nationals abroad corresponds with the latest immigration reports from some of the popular study-abroad destinations such as the US, UK, and Australia. For the UK, the Immigration Statistics Report states that 127,731 visas were granted to Indian students in September 2022, an increase of 93,470 (+273 per cent) against 34,261 in 2019. Similarly, in the US, the number of Indian students has more than doubled, and the Open Doors Report 2022 has predicted that the number of Indian students heading to America is likely to surpass those from China in 2022-23.
Question:
The passage is mainly about
Option 1: immigration of Indians to UK, US, and Australia
Option 2: Indians enrolled in foreign universities
Option 3: Indians going to America for higher studies
Option 4: Indians going abroad for higher studies
Correct Answer: Indians going abroad for higher studies
Solution : The correct choice is the fourth option.
Explanation:
The passage provides information about the increase in the number of Indian students going abroad for higher studies. It discusses the data provided by the Minister of State, Subhas Sarkar, regarding
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