Staff Selection Commission Combined Higher Secondary Level Exam
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
Question : Who among the following women tennis players has won the Grand Slam titles for the maximum number of times?
Option 1: Venus Williams
Option 2: Steffi Graf
Option 3: Margaret Court
Option 4: Serena Williams
Correct Answer: Margaret Court
Solution : The correct option is Margaret Court.
Margaret Court has won the Grand Slam titles to the maximum number of times. She enjoyed remarkable success throughout her career, securing numerous titles, including a record-breaking 24 Grand Slam singles titles. Margaret Court, a retired Australian
Question : Directions: In the following question, which set of letters, when sequentially placed in the gaps in the given letter series, will complete it? c_e_cd_f_d_f
Option 1: dfcec
Option 2: dfece
Option 3: cfede
Option 4: cdfed
Correct Answer: dfece
Solution : Given: c_e_cd_f_d_f
Divide the series into letter clusters – c_ e_ / cd _f /_d _f Let's check each option – First option: dfcec; cdef / cdcf / edcf (No repeated pattern found.) Second option:dfece;
Question : Which of the following diseases is not caused by a mosquito bite?
Option 1: Elephantiasis
Option 2: Dengue
Option 3: Malaria
Option 4: Hepatitis
Correct Answer: Hepatitis
Solution : The correct option is Hepatitis.
A mosquito bite does not typically cause hepatitis. Hepatitis refers to inflammation of the liver, and it can have various causes, including viral infections (such as hepatitis A, B, C, D, and E), alcohol abuse, toxins, and autoimmune conditions. The
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