Staff Selection Commission Combined Graduate Level Exam
Question : Factorize the following expression: $p^3+27$
Option 1: $(p - 3)(p^2- 3p + 9)$
Option 2: $(p + 3)(p^2+ 3p + 9)$
Option 3: $(p + 3)(p^2- 3p + 9)$
Option 4: $(p + 3)(p^2- 3p - 9)$
Correct Answer: $(p + 3)(p^2- 3p + 9)$
Solution : $p^3+27$ = $(p+3)(p^2+3^2-3p)$ = $(p+3)(p^2-3p+9)$ Hence, the correct answer is $(p+3)(p^2-3p+9)$.
Question : Assume that the exchange rate between the US Dollar and the Indian Rupee is $1=INR 55. Now if this exchange rate increases to $1=INR 60, then in this case the Indian Rupee has ____ in comparison to the US dollar.
Option 1: depreciated
Option 2: appreciated
Option 3: demonetised
Option 4: overvalued
Correct Answer: depreciated
Solution : The correct answer is depreciated.
If the exchange rate between the US Dollar (USD) and the Indian Rupee (INR) increases from $1 = INR 55 to $1 = INR 60, it means that the Indian Rupee has depreciated in comparison to the US Dollar.
Question : The outer and inner diameters of a circular path are 728 m and 700 m respectively. The breadth of the path is:
Option 1: 7 m
Option 2: 28 m
Option 3: 14 m
Option 4: 20 m
Correct Answer: 14 m
Solution : The outer diameter of a circular path is 728 m. The outer radius is 364 m. The inner diameter of the circular path is 700 m. The inner radius is 350 m. So, the breadth of the path = 364 – 350 = 14
Question : How many substitute players are there in a Beach Volleyball team?
Option 1: 3
Option 2: 0
Option 3: 2
Option 4: 1
Correct Answer: 0
Solution : The correct answer is 0.
In Beach Volleyball, there are two players on each side of a sand court divided by a net with no substitution compared to indoor Volleyball which has six players and six substitutions. Beach Volleyball most likely originated in 1915 in
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set. (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, 81, 729) (14, 196, 2744)
Option 1: (11, 212, 464)
Option 2: (17, 289, 4913)
Option 3: (25, 625, 9375)
Option 4: (15, 375, 1125)
Correct Answer: (17, 289, 4913)
Solution : Given: (9, 81, 729); (14, 196, 2744)
Here, (9, 81, 729)→(9)2 = 81; (9)3 = 729 (14, 196, 2744)→(14)2 = 196; (14)3 = 2744
Let's check each option – First option: (11, 212, 464)→(11)2 = 121 ≠ 212;
Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.
It is time for the factory to being closed.
Option 1: should be closed
Option 2: No improvement required
Option 3: to be closed
Option 4: for closing
Correct Answer: to be closed
Solution : The correct choice for improvement is the third option.
Explanation: The phrase "to being" should be replaced with "to be" because the infinitive "to" should be followed by the base form of the verb i.e., "be". The infinitive to be indicates the
Question : If the name of a tribe has to be excluded from the list of Scheduled Tribe, who has the power for such exclusion?
Option 1: President
Option 2: Parliament
Option 3: National Commission for Scheduled Tribes
Option 4: Union Council of Ministers
Correct Answer: Parliament
Solution : The correct answer is Parliament.
Tribal Affairs Ministry reviews the recommendations and forwards them to the Registrar General of India for approval. The proposal for inclusion must come from the relevant State or Union Territory government, by the inclusion modalities first outlined in 1999. For
Question : Slash and burn agriculture is known as 'Milpa' in
Option 1: Venezuela
Option 2: Brazil
Option 3: Central Africa
Option 4: Mexico and Central America
Correct Answer: Mexico and Central America
Solution : The correct answer is Mexico and Central America
Slash and burn agriculture is used all across the world, although it is most prevalent in the tropics. Slash and burn agriculture is known as milpa in Central America and Mexico. The milpa system
Question : Directions: Figure A is related to B in a certain pattern. Following the same pattern, figure C is related to D. Study the pattern and select the figure that should be placed in place of (?).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the question figures – 1. From Figure One to Figure Two, P moves to the inside of the triangle. 2. The mirror image of P moves from the top left corner to the bottom left corner. 3. The mirror image of the letter S
Question : Select the sentence with the appropriate use of preposition.
Option 1: He arrived to Sunday morning.
Option 2: He arrived at Sunday morning.
Option 3: He arrived in Sunday morning.
Option 4: He arrived on Sunday morning.
Correct Answer: He arrived on Sunday morning.
Solution : The correct choice is the fourth option.
When referring to a specific day, the preposition on is used. In this context, "on Sunday morning" is the correct prepositional phrase to indicate the time of arrival. The use of "on" with
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