Staff Selection Commission Sub Inspector Exam
Question : The average score in an English exam of a class of 45 students in a coaching centre is 52. A group of 6 boys having an average score of 40 leave the class and another group of eight boys having an average score of 43 join the class. What is the new average score of the class?
Option 1: 48
Option 2: 53
Option 3: 49.5
Option 4: 52
Correct Answer: 52
Solution : We know, Average = $\frac{\text{Sum of all the scores of the students}}{\text{No. of students}}$ The sum of the scores of all 45 students = Average × No. of students = 52 × 45 = 2340 Now, A group of 6 boys leaving the class, the average score is 40 ⇒ Sum of the scores of 6 boys = Average × No. of students = 40 × 6 = 240 ⇒ Sum of the scores of 8 boys joining the class = Average × No. of students = 43 × 8 = 344 Now, the average score of the class $=\frac{\text{Total Sum - Sum of scores of students leaving class + Sum of scores of students joining class }}{\text{Total number of students - Number of students leaving + number of students joining}}$ $=\frac{2340-240+344}{45-6+8}=\frac{2444}{47}=52$ Hence, the correct answer is 52.
Question : Mahavir Jayanti is an important festival of the _________.
Option 1: Jains
Option 2: Sikhs
Option 3: Buddhists
Option 4: Parsis
Correct Answer: Jains
Solution : The correct answer is Jains.
Mahavir Jayanti is an important festival for the Jain community. It commemorates the birth of Lord Mahavir, the 24th Tirthankara and a key figure in Jainism, believed to have been born in the 6th century BCE. The day is marked by prayers, processions, and charitable activities among the Jain followers.
Question : What is the difference between a single discount of 35% on INR 700 and two successive discounts of 18% and 12% on the same amount (correct to two places of decimals)?
Option 1: INR 51.20
Option 2: INR 50.12
Option 3: INR 52.10
Option 4: INR 49.80
Correct Answer: INR 50.12
Solution : First discount = 35% of 700 Successive discounts = 18% and 12% Effective discount = $18+12-\frac{18×12}{100}= 30-2.16 = 27.84$% Second discount = 27.84% of 700 Required difference = (35 – 27.84)% of 700 = 7.16% of 700 = 0.0716 × 700 = 50.12 Hence, the correct answer is INR 50.12.
Question : The President of which of the following countries was invited as the Chief Guest for the Republic Day parade on 26 January 2020?
Option 1: New Zealand
Option 2: Australia
Option 3: Brazil
Option 4: Indonesia
Correct Answer: Brazil
Solution : The correct option is Brazil.
The President of Brazil, Jair Bolsonaro, was invited as the Chief Guest for the Republic Day parade on January 26, 2020. His invitation reflected various geopolitical considerations and aimed to strengthen India's ties with Brazil in areas like trade, defence, and technology cooperation.
Question : Select the most appropriate phrase for the underlined segment in the given sentence. The judgement was rejected by the Chief Justice.
Option 1: Seen through
Option 2: Stand out
Option 3: Set aside
Option 4: Run in
Correct Answer: Set aside
Solution : The correct answer is the third option.
The most appropriate phrase for the underlined segment in the given sentence is: Set aside
The phrase "set aside" is commonly used to express the action of rejecting or nullifying a judgment. It is used in legal contexts to indicate the act of declaring a judgment or decision as invalid or not applicable. When the Chief Justice "set aside" the judgement, it means that the judgment was rejected or nullified.
The meanings of the other options are as follows:
Seen through: To understand completely; not suitable for rejecting a judgement.
Stand out: Be easily noticeable; not appropriate for the context of judgement rejection.
Run in: encounter or be involved; does not convey the Chief Justice's rejection of the judgement.
Therefore, the correct phrase is set aside.
Question : Select the most appropriate meaning of the given idiom. Fit as a fiddle
Option 1: At the last moment
Option 2: To ignore what someone is saying
Option 3: To betray a close person
Option 4: In good health
Correct Answer: In good health
Solution : The correct choice is the fourth option.
Explanation: The idiom "Fit as a fiddle" is a figurative expression used to convey that someone is in excellent physical health. The comparison to a fiddle suggests that the person is in good condition, much like a well-maintained and properly functioning musical instrument.
Therefore, the correct answer is in good health.
Question : Which among the following foreign countries was the first one to trade with India?
Option 1: England
Option 2: Netherlands
Option 3: France
Option 4: Portugal
Correct Answer: Portugal
Solution : The correct answer is Portugal.
The Portuguese were the first to forge commercial ties with India. The first Portuguese and European to travel by sea to India was Vasco da Gama in 1498. They established their trading settlements in Cochin, Goa, Daman and Diu, Salsette Bassein and Bombay.
Question : Directions: Select the option figure that is embedded in the given figure as its part (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since there is a restriction on the rotation of the figure, we will check which of the option figures can exactly fit in the given question figure. By comparison of all the option figures, only the second option figure is embedded in the given question figure.
Hence, the second option is correct.
Question : Directions: Which answer figure will combine the pattern in the question figure?
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
Question : The percentage marks obtained by 6 students in different subjects are given below. The maximum marks for each subject have been indicated in the table.
What are the average marks obtained by all students in Geography?
Option 1: 65.5
Option 2: 73.8
Option 3: 60.5
Option 4: 58.2
Correct Answer: 60.5
Solution : According to the question, Marks of P in geography = 88% of 75 = 0.88 × 75 = 66 marks Marks of Q in geography = 92% of 75 = 0.92 × 75 = 69 marks Marks of R in geography = 64% of 75 = 0.64 × 75 = 48 marks Marks of S in geography = 80% of 75 = 0.80 × 75 = 60 marks Marks of T in geography = 88% of 75 = 0.88 × 75 = 66 marks Marks of U in geography = 72% of 75 = 0.72 × 75 = 54 marks Total marks obtained by all students in Geography = 66 + 69 + 48 + 60 + 66 + 54 = 363 Average marks obtained by students in Geography = $\frac{363}{6}$ = 60.5 Hence, the correct answer is 60.5.
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