Staff Selection Commission Combined Higher Secondary Level Exam
Question : Sudesh is the owner of a multipurpose shop. For a specific month, his profits are detailed below.
To estimate the expected profit for the next month, he assigns the weights of 6, 5, and 8 to the different categories in the same order. What will be the weighted average of his profits?
Option 1: INR 25,265.18 (nearly)
Option 2: INR 24,863.16 (nearly)
Option 3: INR 25,163.16 (nearly)
Option 4: INR 25,263.16 (nearly)
Correct Answer: INR 25,263.16 (nearly)
Solution : By using the table: Total weights = 6 + 5 + 8 = 19 Profit earned on groceries in weight = 6 × 50000 = 300000 Profit earned on cosmetics in weight = 5 × 20000 = 100000 Profit earned on ladies' dresses
Question : Select the most appropriate option that can be used as a one-word substitute for the underlined segment in the following sentence. As I walked through the old town, I couldn’t help but feel a sentimental longing for the simpler times of my childhood.
Option 1: affection
Option 2: homesickness
Option 3: inertia
Option 4: nostalgia
Correct Answer: nostalgia
Solution : The fourth option is the correct answer.
Nostalgia is the term that represents the sentimental longing for the past, especially for a period or place with happy memories. It perfectly captures the feeling described in the sentence.
The meanings of other options are as follows:
Question : Which state appointed Robin Uthappa as brand ambassador for the Brain Health Initiative in 2022?
Option 1: Tamil Nadu
Option 2: West Bengal
Option 3: Odisha
Option 4: Karnataka
Correct Answer: Karnataka
Solution : The correct option is Karnataka
The Karnataka Brain Health Initiative (Ka-BHI) was introduced in January by the Karnataka State Government in collaboration with NIMHANS and Niti Ayog. The Karnataka-Brain Health Initiative has named Indian cricketer Robin Uthappa as its brand ambassador (Ka-BHI).
Question : Who among the following Indian music composers won the Oscar Award in the year 2023?
Option 1: Mani Sharma
Option 2: A. R. Rahman
Option 3: Devi Sri Prasad
Option 4: M. M. Keeravani
Correct Answer: M. M. Keeravani
Solution : The correct option is M. M. Keeravani.
M. M. Keeravani is an Indian music composer who won the Best Original Song Award at the 95th Academy Awards in 2023, along with lyricist-singer Chandrabose, for the song "Naatu Naatu" from the movie RRR.
Question : Find the length of the arc if the angle at the centre of the circle of radius 7 units is 60°.
Option 1: $4$ units
Option 2: $\frac{11}{4}$ units
Option 3: $\frac{22}{3}$ units
Option 4: $21$ units
Correct Answer: $\frac{22}{3}$ units
Solution : Given: The radius of the circle: 7 units The angle at the centre is 60°. Length of arc = $\frac{θ}{360°} × 2πr$, here $r$ is the radius and $\theta$ is the angle at centre. ⇒ Length of the arc = $\frac{60°}{360°} × 2 ×
Question : If $\frac{xy}{x+y}=a$, $\frac{xz}{x+z}=b$ and $\frac{yz}{y+z}=c$, where $a,b,c$ are all non-zero numbers, $x$ equals to:
Option 1: $\frac{2abc}{ab+bc–ac}$
Option 2: $\frac{2abc}{ab+ac–bc}$
Option 3: $\frac{2abc}{ac+bc–ab}$
Option 4: $\frac{2abc}{ab+bc+ac}$
Correct Answer: $\frac{2abc}{ac+bc–ab}$
Solution : Given: $\frac{xy}{x+y}=a$, $\frac{xz}{x+z}=b$ and $\frac{yz}{y+z}=c$, where $a,b,c$ are all non-zero numbers. We can write $\frac{xy}{x+y}=\frac{1}{\frac{1}{x}+\frac{1}{y}}$ ⇒ $\frac{1}{a}=\frac{1}{x}+\frac{1}{y}$ -------------------------------(1) Similarly, we can write, $\frac{xz}{x+z}=\frac{1}{\frac{1}{x}+\frac{1}{z}}$ ⇒ $\frac{1}{b}=\frac{1}{x}+\frac{1}{z}$ --------------------------------(2) Similarly, $\frac{1}{c}=\frac{1}{y}+\frac{1}{z}$ ----------------------(3) Adding equation (1) and equation (2), ⇒ $\frac{1}{a}+\frac{1}{b}=\frac{2}{x}+\frac{1}{y}+\frac{1}{z}$ ⇒ $\frac{1}{a}+\frac{1}{b}=\frac{2}{x}+\frac{1}{c}$ ⇒ $\frac{1}{a}+\frac{1}{b}–\frac{1}{c}=\frac{2}{x}$ ⇒ $\frac{(bc+ac–ab)}{abc}=\frac{2}{x}$ $\therefore x=\frac{2abc}{(bc+ac–ab)}$
Question : Select the most appropriate ANTONYM of the given word.
Hostile
Option 1: Hospitable
Option 2: Bitter
Option 3: Nasty
Option 4: Aggressive
Correct Answer: Hospitable
Solution : The most appropriate option is the first option.
"Hospitable" is the direct antonym of "hostile". While "hostile" means unfriendly or antagonistic, "hospitable" means welcoming and friendly.
The meanings of the other options are as follows:
Question : Which among the following has written the book ‘The Pregnancy Bible’?
Option 1: Vidya Balan
Option 2: Shilpa Shetty
Option 3: Rani Mukherji
Option 4: Kareena Kapoor
Correct Answer: Kareena Kapoor
Solution : The correct answer is Kareena Kapoor.
The Pregnancy Bible is a book written by Kareena Kapoor. It is a comprehensive guide to pregnancy, covering everything from conception to birth.
The book is approved by the Federation of Obstetric and Gynaecological Societies of India (FOGSI),
Question : Directions: Study the bar diagram and answer the question. Total number of boys and girls in five different departments of a college.
The percentage of the boys from the Biology department compared to the total number of boys from all the departments together is:
Option 1: $33\frac{1}{2}\%$
Option 2: $50\%$
Option 3: $33\frac{1}{3}\%$
Option 4: $30\%$
Correct Answer: $33\frac{1}{3}\%$
Solution : From the given graph, The total number of boys from all the departments = 60 + 220 + 100 + 160 + 120 = 660 The number of boys in the Biology Department = 220 The required percentage = $\frac{\text{The number of boys in the
Question : The following histogram shows the weekly wages of workers at a factory. How many workers get wages of more than Rs.200?
Option 1: 95
Option 2: 85
Option 3: 70
Option 4: 80
Correct Answer: 85
Solution : According to the question: Number of workers getting wages of more than Rs. 200 = 20 + 50 + 15 = 85 Hence, the correct answer is 85.
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