Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Words given on the left side of (::) are related to each other by some Logic/Rule/Relation. Select the missing word/word pair on the right side of (::) from the given alternatives based on the same Logic/Rule/Relation. Ottawa : Canada :: ?
Option 1: Nairobi : Kenya
Option 2: Russia : Moscow
Option 3: Greece : Athens
Option 4: Spain : Madrid
Correct Answer: Nairobi : Kenya
Solution : Given: Ottawa : Canada :: ? (Ottawa is the capital city of Canada.)
Let's check the given options – First option: Nairobi : Kenya; Nairobi is the capital city of Kenya. Second option: Russia : Moscow; Moscow is the capital city of Russia,
Question : What is the Earth's escape velocity?
Option 1: 2.8 km/s
Option 2: 5.6 km/s
Option 3: 11.2 km/s
Option 4: 14 km/s
Correct Answer: 11.2 km/s
Solution : The correct option is 11.2 km/s.
The term "escape velocity" refers to the velocity at which a moving object, such as a rocket, must be travelling to leave the gravitational field of a celestial body, such as the Earth, and travel into space.
Question : The Pie chart shows the percentage distributions of the total number of laptops (both Dell and HP) sold by six stores in March. Refer to the pie chart and table carefully and answer the given questions Total number = 11200
What is the ratio of the number of Dell laptops sold by A to that of the HP laptops sold by stores C and D together?
Option 1: 49 : 72
Option 2: 35 : 76
Option 3: 49 : 76
Option 4: 43 : 76
Correct Answer: 35 : 76
Solution : Total number of Laptops = 11200 A store sold 18% laptops = $11200×\frac{18}{100}=2016$ In store A, Dell : HP = 5 : 4 Dell laptops sold from A = $\frac{5}{5+4}×2016=1120$ C store sold 20% laptops = $11200×\frac{20}{100}=2240$ In store C, Dell : HP
Question : Directions: In the following question, select the missing number from the given series. 10, 10, 20, 60, 240, ?
Option 1: 1150
Option 2: 1400
Option 3: 1200
Option 4: 1440
Correct Answer: 1200
Solution : Given: 10, 10, 20, 60, 240, ?
Multiply the previous term by consecutive natural numbers, to obtain the next term in the series – 10 × 1 = 10; 10 × 2 = 20; 20 × 3 = 60; 60 × 4 = 240; 240
Question : Which of the following Articles of the Indian Constitution prohibits forced labour and prevents exploitation?
Option 1: Article 20
Option 2: Article 19
Option 3: Article 25
Option 4: Article 23
Correct Answer: Article 23
Solution : The correct answer is Article 23.
Article 23 of the Indian Constitution prohibits forced labour and trafficking. It states that no person shall be subjected to forced labour, and the state is mandated to prohibit human trafficking and forced labour while allowing compulsory
Question : If $\cos \theta+\sec \theta=\sqrt{3}$, then the value of $\cos ^3 \theta+\sec ^3 \theta$ is:
Option 1: $0$
Option 2: $\frac{1}{\sqrt{3}}$
Option 3: $\sqrt{3}$
Option 4: $2 \sqrt{3}$
Correct Answer: $0$
Solution : Given, $\cos \theta+\sec \theta=\sqrt{3}$ Cubing both sides, we get, $⇒\cos^3\theta + \sec^3\theta+3\cdot\cos\theta\cdot\sec\theta(\cos \theta+\sec \theta)=3\sqrt3$ ⇒ $\cos^3\theta+\sec^3\theta+3\times 1(\sqrt3)=3\sqrt3$ [$\because \cos\theta=\frac{1}{\sec\theta}$] ⇒ $\cos^3\theta+\sec^3\theta+3\sqrt3=3\sqrt3$ ⇒ $\cos^3\theta+\sec^3\theta=0$ Hence, the correct answer is $0$.
Question : The idea of a concurrent list in the Indian Constitution was taken from_______.
Option 1: Germany
Option 2: Australia
Option 3: Denmark
Option 4: Ireland
Correct Answer: Australia
Solution : The correct option is Australia.
The concurrent list system is a legislative feature found in some federal systems of government, including India. There are typically three lists: the Union List, the State List, and the Concurrent List.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : If $\sin \theta \cos \theta=\frac{1}{\sqrt{3}}$ then the value of $\left(\sin ^4 \theta+\cos ^4 \theta\right)$ is:
Option 1: $1$
Option 2: $\frac{5}{3}$
Option 3: $\frac{2}{3}$
Option 4: $\frac{1}{3}$
Correct Answer: $\frac{1}{3}$
Solution : Given: $\sin \theta \cos \theta=\frac{1}{\sqrt{3}}$ We know that $\sin^2 \theta + \cos^2 \theta = 1$ Squaring both sides, $⇒\sin^4 \theta + \cos^4 \theta + 2\sin^2\theta\cos^2\theta= 1$ $⇒\sin^4 \theta + \cos^4 \theta + 2(\sin\theta\cos\theta)^2 = 1$ $⇒\sin^4 \theta + \cos^4 \theta + 2\times (\frac{1}{\sqrt{3}})^2 = 1$
Question : Directions: If it was Tuesday, the 21st of February 2017, then what would be the day of the week on the 5th of February 2025? (2020 and 2024 are leap years.)
Option 1: Thursday
Option 2: Tuesday
Option 3: Monday
Option 4: Wednesday
Correct Answer: Wednesday
Solution : Given: The 21st of February 2017 is Tuesday.
First, find the total number of days – 2017→7 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31 = 313
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