Staff Selection Commission Combined Graduate Level Exam
Question : If $\frac{1}{x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}}}=\frac{29}{79}$, where x, y, and z are natural numbers, then the value of $(2 x+3 y-z)$ is:
Option 1: 0
Option 2: 4
Option 3: 1
Option 4: 2
Correct Answer: 2
Solution : According to the question, $\frac{1}{x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}}}=\frac{29}{79}$ ⇒ $x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}} = \frac{79}{29}$ ⇒ $x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}} = 2+\frac{21}{29}$ Comparing both sides, we get $x=2$, and $\frac{1}{y+\frac{2}{z+\frac{1}{4}}} =\frac{21}{29}$ ⇒ $\frac{1}{y+\frac{2}{z+\frac{1}{4}}}={\frac{1}{1+\frac{8}{21}}}$ ⇒ $\frac{1}{y+\frac{2}{z+\frac{1}{4}}}={\frac{1}{1+\frac{2}{5+\frac{1}{4}}}}$ Comparing both sides, we get, $y= 1$ and $z= 5$ $\therefore$ $(2 x+3 y-z)= 2 × 2 + 3
Question : The major constituent of air is
Option 1: Nitrogen
Option 2: Carbon dioxide
Option 3: Oxygen
Option 4: Hydrogen
Correct Answer: Nitrogen
Solution : The correct option is Nitrogen.
Nitrogen is the most abundant element in the atmosphere (78%). This is inert, essential for life, a component of the nitrogen cycle, a diatomic gas that maintains atmospheric pressure and is employed in agriculture and industry.
Question : In which of the following months did the Australian Open take place in 2022?
Option 1: February
Option 2: March
Option 3: January
Option 4: April
Correct Answer: January
Solution : The correct option is January.
The Australian Open is a major tennis tournament held annually in Melbourne, Australia. In 2022, the tournament dates were from January 17 to January 30. The Australian Open is one of the four Grand Slam tournaments in tennis, along
Question : Which of the following statements are correct regarding the Centre-State Relations about the three lists of the Indian Constitution?
A. The subjects which are not included in any of the three lists are called Residuary subjects. B. If there is any conflict between the Union List and the State List, then the former prevails. C. When the Parliament enacts a law on the request of two or more states, then that law made by the Parliament on the State List applies to all the states.
Option 1: A and C only
Option 2: B and C only
Option 3: A, B and C
Option 4: A and B only
Correct Answer: A and B only
Solution : The correct option is A and B only.
The subjects that are not included in any of the three lists (Union List, State List, and Concurrent List) are called residual subjects. These subjects fall under the residuary powers of the Union
Question : Inert gases are
Option 1: miscible with water
Option 2: not stable
Option 3: chemically unreactive
Option 4: chemically very reactive
Correct Answer: chemically unreactive
Solution : The correct option is chemically unreactive.
Inert gases, known as noble gases, exhibit chemical inertness due to their stable electron configurations. Their electron shells are filled, making it highly improbable for these gases to engage in chemical reactions with other elements.
Question : Simple interest received by a person in 10 years on a principal of Rs. 9500 is 130% of the principal. What is the rate of interest (in percent) per annum?
Option 1: 12
Option 2: 13
Option 3: 15
Option 4: 19
Correct Answer: 13
Solution : Given: Principal = Rs. 9500 Time = 10 years Formula Used: SI=$\frac{\text{PRT}}{100}$ Calculation: Let the rate of Interest be R. SI = $\frac{9500 \times 10 \times R}{100}$ Now we know the interest received is 130% of 9500 = $\frac{130 \times 9500}{100}$ $\therefore \frac{9500 \times 10
Question : In the given figure, ABCD is a square. EFGH is a square formed by joining mid-points of sides of ABCD. LMNO is a square formed by joining mid-points of sides of EFGH. A circle is inscribed inside LMNO. If the area of a circle is 38.5 cm2 then what is the area (in cm2) of square ABCD?
Option 1: 98
Option 2: 196
Option 3: 122.5
Option 4: 171.5
Correct Answer: 196
Solution : The area of a circle, $ \text{Area} = \pi r^2$ where $r$ is the radius of the circle. Given that the area of the circle is 38.5 cm2. $⇒ r = \sqrt{\frac{\text{Area}}{\pi}} = \sqrt{\frac{38.5}{\pi}} = 3.5$ cm The side length of square LMNO
Question : The amount (in Rs.) received at 10% per annum compound interest after 3 years is Rs. 1,19,790. What was the principal?
Option 1: 90,000
Option 2: 1,00,000
Option 3: 80,000
Option 4: 75,000
Correct Answer: 90,000
Solution : We have, A = Rs. 119790, r = 10%, and t = 3 years. $A = P \left(1 + \frac{r}{100}\right)^{t}$ Substituting the given values into the formula, we get $⇒119790 = P \left(1+\frac{10}{100}\right)^{1×3}$ $⇒119790 = P \left(1+0.1\right)^{3}$ $⇒119790 = P \left(1.1\right)^{3}$ $⇒P=\frac{119790}{1.331}=Rs. 90,000$ Hence, the
Question : In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Our beautiful ecosystem is being systematically (1)____ by industrial pollution channelled into rivers like the Ganga and the Yamuna, nuclear wastes from atomic plants muted into the world’s oceans, and (2)____ gases such as carbon dioxide mixed with the ozonosphere. Besides, tropical rainforests and green pastures are disappearing (3)_____ the pressure of a proliferating population. Dams are being (4)_____ over the rivers like the Narmada to change nature’s well-balanced surface equations between flora and fauna, and sloping mountainous terrain is being converted into mini oceans to supply electricity to the ever-starving industrial stomach of our age. Elephants, tigers, the wild rhinos of South Africa and many other forest creatures have become (5)_____ species.
Question
Select the most appropriate option to fill in the blank number 1.
Option 1: damaged
Option 2: oriented
Option 3: glorified
Option 4: designed
Correct Answer: damaged
Solution : The first option is correct.
Explanation: In this context, the word that best fits the grammatical structure and conveys the negative impact of industrial pollution on the ecosystem is damaged. The sentence describes the harmful effects of industrial pollution on rivers like the Ganga
Question : A bus travels 720 kilometres in 20 hours. Calculate its average speed in meters per second.
Option 1: 12 m/s
Option 2: 15 m/s
Option 3: 18 m/s
Option 4: 10 m/s
Correct Answer: 10 m/s
Solution : Given: A bus travels 720 kilometres in 20 hours. Applying the formula of $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$, we get, $\text{Speed}=\frac{720}{20}=36$ km/hr Converting km/hr into m/s by multiplying it with $\frac{5}{18}$, we get, $\text{Speed}=36\times\frac{5}{18}=10$ m/s Hence, the correct answer is 10 m/s.
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