Staff Selection Commission Combined Graduate Level Exam
Question : The pie chart given below shows the number of tyres for 6 companies. The number of tyres of a particular company is shown as a percentage of the total number of tyres of these 6 companies. What is the sum of central angles formed by the sectors representing tyres of companies F and A?
Option 1: 84°
Option 2: 108°
Option 3: 144°
Option 4: 112°
Correct Answer: 144°
Solution : Given: A% = 28% and F% = 12%. We know that in a pie chart 360° = 100% ⇒ 1° = 3.6% The sum of central angles formed by the sectors representing tyres of companies F and A = 12% + 28% = 40%. ⇒
Question : Directions: In a family of three, P is A's father and K is the paternal grandfather of A. How is K related to P?
Option 1: Mother
Option 2: Grandson
Option 3: Son
Option 4: Father
Correct Answer: Father
Solution : As per the instructions, the family tree is shown below –
Here, the quadrilateral represents the male and the circular figure represents the female in the above figure.
According to the family tree, K is the father of P. Hence, the fourth option is correct.
Question : CPU Scheduler is also known as ______.
Option 1: job scheduler
Option 2: resource scheduler
Option 3: short-term scheduler
Option 4: process scheduler
Correct Answer: short-term scheduler
Solution : The correct answer is the short-term scheduler.
The CPU Scheduler is sometimes referred to as the "short-term scheduler" in the context of process scheduling within operating systems. The short-term scheduler selects and allocates the next process to execute on the CPU from a pool
Question : If $(a^3+b^3+c^3-3 a b c)=405$ and $(a-b)^2+(b-c)^2+(c-a)^2=54$, find the value of $(a + b + c)$.
Option 1: 15
Option 2: 45
Option 3: 9
Option 4: 27
Correct Answer: 15
Solution : $(a-b)^2+(b-c)^2+(c-a)^2=54$ ⇒ $2(a^2+b^2+c^2-ab-bc-ac)=54$ ⇒ $(a^2+b^2+c^2-ab-bc-ac)=27$ Also, we know that $(a^3+b^3+c^3-3 a b c) = (a+b+c)(a^2+b^2+c^2-ab-bc-ac)$ Substituting the values, ⇒ $405 = 27×(a+b+c)$ ⇒ $a+b+c = 15$ Hence, the correct answer is 15.
Question : The mean proportional of 6 and 54 is _______ more than 15.
Option 1: 3
Option 2: 6
Option 3: 4
Option 4: 5
Correct Answer: 3
Solution : Mean proportion of 6 and 54 = $\sqrt{6 × 54}=\sqrt{324}= 18$ $\therefore$ Difference = 18 – 15 = 3 Hence, the correct answer is 3.
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. At most of the local dhabas and fast food joints, poor hygienic conditions (1)_____The (2)_____occurs due to poor quality packaging material or (3)_____storage conditions. Food cooked may not be washed or cleaned properly. It is low in (4)_____rich in oil content especially trans fats which make one (5)_____, lousy and dull. Select the most appropriate option to fill in the blank number 1.
Option 1: prevail
Option 2: sustain
Option 3: entail
Option 4: assail
Correct Answer: prevail
Solution : The first option is the correct answer.
Prevail means to be widespread or dominant in a particular area or at a particular time. In the context of the passage, poor hygienic conditions are likely to be widespread or dominant at local dhabas and fast food
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Who do you think I met?
(1) Who
(2) No Error
(3) do you think
(4) I met?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The sentence "Who do you think I met?" is grammatically correct. It follows the standard structure of an interrogative sentence, where the question word "Who" is followed by the auxiliary verb "do," and then the subject "you" and the main verb "think," followed by the
Question : Find the Arc Elasticity of demand if the quantity demanded falls from 4600 to 4200 when the price of the item increases from Rs. 960 to Rs. 1000.
Option 1: - 2.23
Option 2: -2.09
Option 3: 2.23
Option 4: 2.09
Correct Answer: - 2.23
Solution : The correct option is -2.23.
Arc elasticity is the elasticity of one variable with respect to another between two given points. It is used when there is no general way to define the relationship between the two variables. Arc elasticity is also defined
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. And that something in her lifted her to the world number one position in tennis in 2005. B. But all this happened in almost no time. C. It took Maria just four years as a professional to reach the pinnacle. D. There is something disarming about Maria Sharapova.
Option 1: DABC
Option 2: BCDA
Option 3: CBAD
Option 4: ABCD
Correct Answer: DABC
Solution : The correct choice will be the first option.
D. There is something disarming about Maria Sharapova.
A. And that something in her lifted her to the world number one position in tennis in 2005.
B. But all this happened in almost no time.
C. It
Question : Study the given pie charts and answer the question that follows.
The number of students who passed the examination from Institute D exceeds the number of students who appeared from Institute A is $x$. The value of $x$ lies between:
Option 1: 11 and 14
Option 2: 5 and 8
Option 3: 14 and 17
Option 4: 8 and 11
Correct Answer: 11 and 14
Solution : From the pie chart, the percentage of students who passed Institute D is 28%. The number of students who passed Institute D is 28% of 900 = 252 students The degree of the sector for Institute A in the pie chart representing students
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