Staff Selection Commission Combined Graduate Level Exam
Question : If the arithmetic mean of $3a$ and $4b$ is greater than 50, and $a$ is twice $b$, then the smallest possible integer value of $a$ is:
Option 1: 20
Option 2: 18
Option 3: 21
Option 4: 19
Correct Answer: 21
Solution : According to the question, $\frac{3a+4b}{2}>50$ $\Rightarrow3a+4b>100$ $\Rightarrow3a+\frac{4a}{2}>100 (\because a = 2b)$ $\Rightarrow3a+2a>100$ $\Rightarrow5a>100$ $\Rightarrow a>20$ $\therefore$ Minimum value of $a = 21$ Hence, the correct answer is 21.
Question : The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the product of the two given numbers?
Option 1: 160
Option 2: 240
Option 3: 200
Option 4: 320
Correct Answer: 240
Solution : Let the numbers be x and y. So, x3 – y3 = 6272 and (x – y) = 8 Cubing both sides of the given expression, (x – y) = 8, ⇒ (x – y)3 = 83 ⇒ x3 –
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 8 – 11
Option 2: 1 – 4
Option 3: 7 – 10
Option 4: 3 – 5
Correct Answer: 3 – 5
Solution : Let's check the options – First option: 8 – 11→8 + 3 = 11 Second option: 1 – 4→1 + 3 = 4 Third option: 7 – 10→7 + 3 = 10 Fourth option: 3 – 5→3 + 3 = 6 ≠ 5
Question : Select the most appropriate option to fill in the blank. The actress is very _____ and takes pride in her appearance all the time.
Option 1: vein
Option 2: wane
Option 3: vane
Option 4: vain
Correct Answer: vain
Solution : The correct choice is the fourth option.
Explanation: Vain means having an excessively high opinion of oneself, especially regarding one's appearance.
In the context of the sentence, the actress is described as someone who takes pride in her appearance all the time, indicating excessive concern
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – 1. From box 1 to box 2 – A B-shaped symbol is flipped and rotates 45° in an anti-clockwise direction. After rotation, the B-shaped symbol shifted one position in an anticlockwise direction from the side of the box to the
Question : Select the option that can be used as a one-word substitute for the given group of words.
The act of killing one’s mother.
Option 1: Regicide
Option 2: Homicide
Option 3: Uxoricide
Option 4: Matricide
Correct Answer: Matricide
Solution : The fourth option is the correct choice.
Matricide is a term that specifically refers to the act of killing one's mother. It is derived from the Latin words mater which means mother and cide, indicating the act of killing.
The meanings of the other options
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 71
Option 2: 83
Option 3: 89
Option 4: 93
Correct Answer: 93
Solution : Let's check the options – First option: 71; 71 is divisible only by 1 and 71. So, it is a prime number. Second option: 83; 83 is divisible only by 1 and 83. So, it is a prime number. Third option: 89; 89 is divisible
Question : A level of the atmosphere which is composed partly of electrons and positive ions is called
Option 1: Troposphere
Option 2: Ionosphere
Option 3: Stratosphere
Option 4: Mesosphere
Correct Answer: Ionosphere
Solution : The answer is the Ionosphere.
The Ionosphere is the layer of the atmosphere that is made up of electrons and positive ions. It is an area of the Earth's upper atmosphere with increased ion concentrations due to the absorption of high-energy solar radiation. The Ionosphere
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The room is smoky.
(1) by smokes
(2) filled with smoke
(3) with smokes
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option "filled with smoke".
It is the correct choice because it accurately describes the condition of the room. When we say a room is "filled with smoke", it means that there is a significant amount of smoke in
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.
Colonialism had a great impact on the lives of the Aboriginal Australians who were eventually (1) _____ by the whites with all power and privilege. The colonisers turned their land into rubbish pits and (2) _____ sites for their own betterment. The Aborigines were often (3) _____ as sub-humans with low status and dirty habits. The whites not only displaced the tribes of their homeland but also (4) _____ the beauty and balance of the natural world. An increase in deforestation and destruction of traditional land led (5) _____ like emu, eagle, and kangaroo, among many others to dwindle over time.
Select the most appropriate option to fill in the blank number 5.
Option 1: fauna
Option 2: pets
Option 3: thugs
Option 4: homies
Correct Answer: fauna
Solution : The correct choice is the first option.
Fauna means animals that belong to a particular region and correctly fits in the sentence as it talks about how the whites destroyed nature, which led to the decline of the population of animals in that area.
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