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Staff Selection Commission Combined Higher Secondary Level Exam

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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

Team Careers360 24th Jan, 2024

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

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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

Team Careers360 23rd Jan, 2024

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

14 Views

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: $2 \sqrt{3}$

Team Careers360 24th Jan, 2024

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 $0$.

8 Views

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

Team Careers360 23rd Jan, 2024

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.

7 Views

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:

Team Careers360 23rd Jan, 2024

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

14 Views

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: $\frac{1}{3}$

Team Careers360 25th Jan, 2024

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,
$⇒\sin^4 \theta + \cos^4 \theta + 2\sin^2\theta\cos^2\theta= 1$
$⇒\sin^4 \theta + \cos^4 \theta + 2(\sin\theta\cos\theta)^2 = 1$
$⇒\sin^4 \theta + \cos^4 \theta + 2\times (\frac{1}{\sqrt{3}})^2 = 1$

82 Views

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

Team Careers360 23rd Jan, 2024

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

Feb March April May June July
14 Views

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

Team Careers360 25th Jan, 2024

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

5 Views

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

Team Careers360 25th Jan, 2024

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; 

14 Views

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

Team Careers360 25th Jan, 2024

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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