Staff Selection Commission Combined Graduate Level Exam
Question : Study the given graph and answer the question that follows. What is the ratio of the total production of fertilisers by country X in 2017 and country Y in 2020 to the production of fertilisers by country Z in 2019?
Option 1: 19 : 12
Option 2: 3 : 2
Option 3: 27 : 20
Option 4: 4 : 3
Correct Answer: 3 : 2
Solution : Total Production by country X in 2017 = 236 Total Production by country Y in 2020 = 334 Total Production by country Z in 2019 = 380 $\therefore$ Required ratio = $\frac{236 + 334}{380}$ = $\frac{570}{380}$ = $\frac{3}{2}$ Hence, the correct answer is
Question : If $\cot A=\frac{12}{5}$, then the value of $\sin A=?$
Option 1: $\frac{5}{13}$
Option 2: $\frac{12}{13}$
Option 3: $\frac{5}{12}$
Option 4: $\frac{13}{12}$
Correct Answer: $\frac{5}{13}$
Solution : $\cot A=\frac{12}{5} = \frac{AB}{BC}$ Let $AB$ and $BC$ be 12 units and 5 units respectively. So, $AC= \sqrt{5^2+12^2} = \sqrt{25+144} = \sqrt{169} = 13$ units ⇒ $\sin A = \frac{BC}{AC} = \frac{5}{13}$ Hence, the correct answer is $\frac{5}{13}$.
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 6, 8, 17, 19, 28, 30, ?
Option 1: 32
Option 2: 37
Option 3: 38
Option 4: 39
Correct Answer: 39
Solution : Given: 6, 8, 17, 19, 28, 30, ?
Add 2 and 9 alternatively to the previous terms to find the next term of the series – 6 + 2 = 8; 8 + 9 = 17; 17 + 2 = 19; 19 + 9 =
Question : Direction: The bar is showing the number of accidents in a city during the first six months of a year. Examine the bar chart and answer the following question. By what number is the number of accidents that occurred in April greater than the average number of accidents that occurred during the six-month period?
Option 1: 13.17
Option 2: 8
Option 3: 9
Option 4: 11
Correct Answer: 13.17
Solution : Based on the bar graph provided, Total number of accidents = 25 + 19 + 30 + 43 + 35 + 27 = 179 Number of months = 6 Average number of accidents = $\frac{\text{The total number of accidents}}{\text{Number of months}}=\frac{179}{6}=29.83$ Number of accidents in
Question : A car travels a certain distance at 70 km/hr and comes back at 30 km/hr. Find the average speed for the total journey.
Option 1: 42 km/hr
Option 2: 50 km/hr
Option 3: 34 km/hr
Option 4: 58 km/hr
Correct Answer: 42 km/hr
Solution : Given: The car goes at speed($S_1$) = 70 km/hr The car returns at speed($S_2$) = 30 km/hr Average speed = $\frac{2×S_1×S_2}{S_1+S_2}$ (for the same distance at different speeds) = $\frac{2×70×30}{70+30}$ = $\frac{4200}{100}$ = 42 km/hr Hence, the correct answer is 42 km/hr.
Question : Small-scale units are differentiated from large-scale units on the basis of:
Option 1: the size of the unit area
Option 2: the volume of sales
Option 3: the volume of output
Option 4: the amount of investment
Correct Answer: the amount of investment
Solution : The correct option is the amount of investment.
Small-scale units are differentiated from large-scale units primarily based on the amount of investment. The distinction between small-scale and large-scale units is often defined by the scale of financial resources, capital, and investment involved
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'. I am working hard in order to earn a decent living.
Option 1: buying a decent living.
Option 2: earning a better living.
Option 3: purchase a reputed life.
Option 4: No Substitution
Correct Answer: No Substitution
Solution : The fourth option is the correct answer.
The original sentence is grammatically correct and conveys the intended meaning effectively that the speaker is putting in effort to secure a satisfactory or reasonable financial situation.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (9, 20, 31) (38, 49, 60)
Option 1: (63, 60, 65)
Option 2: (15, 20, 31)
Option 3: (25, 69, 45)
Option 4: (14, 24, 34)
Correct Answer: (14, 24, 34)
Solution : Given: (9, 20, 31); (38, 49, 60)
Here, (9, 20, 31)→(20 – 9) + 20 = 11 + 20 = 31 (38, 49, 60)→(49 – 38) + 49 = 11 + 49 = 60
Let's check the options – First option: (63,
Question : Earth's core is mainly made up of _____________.
Option 1: nickel and copper
Option 2: nickel and alumina
Option 3: nickel and iron
Option 4: nickel and magnesium
Correct Answer: nickel and iron
Solution : The correct answer is nickel and iron.
The earth's core is mainly made up of nickel and iron. It is composed of two layers: the outer core and the inner core. The outer core is in a liquid state, while the inner core
Question : Abdul Karim Khan and Abdul Wahid Khan were the founders of the ________ Gharana.
Option 1: Jaipur - Atrauli
Option 2: Gwalior
Option 3: Agra
Option 4: Kirana
Correct Answer: Kirana
Solution : The correct option is Kirana.
Abdul Karim Khan and Abdul Wahid Khan were the founders of the Kirana Gharana. It is a renowned school of classical Indian music known for its distinctive style characterised by intricate note patterns and emphasis on the purity of
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