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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : In the MPL 59th Senior National Chess Championship held in Delhi, Who became India's 78th Grandmaster?

Option 1: G. Akash

Option 2: Koustav Chatterjee

Option 3: Pranav Venkatesh

Option 4: Prithu Gupta

Team Careers360 10th Jan, 2024

Correct Answer: Koustav Chatterjee


Solution : The correct answer is Koustav Chatterjee.

Koustav Chatterjee is a 19-year-old chess player from Kolkata who became the 78th Grandmaster of India. He is the 10th Grandmaster from Bengal. The first grandmaster of India was Vishwanathan Anand; he became the Grandmaster in 1988

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Question :

If $\tan2\theta\tan3\theta=1$ where $0°<\theta<90°$, then the value of $\theta$ is:

Option 1: $22\frac{1}{2}°$

Option 2: $18°$

Option 3: $24°$

Option 4: $30°$

Team Careers360 22nd Jan, 2024

Correct Answer: $18°$


Solution : Given: $\tan2\theta\tan3\theta=1$
⇒ $\tan3\theta=\frac{1}{\tan2\theta}$
⇒ $\tan3\theta=\cot2\theta$
⇒ $\tan3\theta=\tan(90°–2\theta)$
⇒ $3\theta=(90°-2\theta)$
⇒ $5\theta=90°$
$\therefore\theta=18°$
Hence, the correct answer is $18°$.

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Question : Aurangzeb (1658–1707 AD) was the ruler of which dynasty?

Option 1: Nanda

Option 2: Mughal

Option 3: Maurya

Option 4: Haryanka

Team Careers360 6th Jan, 2024

Correct Answer: Mughal


Solution : The correct answer is Mughal.

Throughout the 16th and 18th centuries, the Mughal Empire ruled over much of the Indian subcontinent. Babur founded it in 1526. One of India's most significant emperors, Aurangzeb was the sixth Mughal emperor.

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Question : According to the Census of India 2011, which state in India has the lowest literacy rate?

Option 1: Jharkhand

Option 2: Rajasthan

Option 3: Bihar

Option 4: Arunachal Pradesh

Team Careers360 22nd Jan, 2024

Correct Answer: Bihar


Solution : The correct option is Bihar.

According to the 2011 Census of India, the state with the lowest literacy rate in India was Bihar. Its literacy rate was only 47%.

The Census of India is a decennial (conducted every ten years) exercise that aims to collect

32 Views

Question : Radha deposited INR 1,60,000 at a 10% rate of Compound Interest per annum for two years. If the interest is compounded semi-annually, then what is the Compound Interest (in INR)?

Option 1: 16,400

Option 2: 34,481

Option 3: 74,256

Option 4: 33,600

Team Careers360 12th Jan, 2024

Correct Answer: 34,481


Solution : Given:
Radha deposited INR 1,60,000 at a 10% Compound Interest rate annually for two years.
The rate compounded semi-annually, so the rate will be $\frac{10}{2}=5$%
Time will be 2 × 2 = 4
$\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$
⇒ Compound interest = $160000(1+\frac{5}{100})^4-160000$
= $160000[(\frac{21}{20})^4-1]$
= $160000[(\frac{194481-160000}{160000})]$
=

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Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 15th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the

19 Views

Question : What is the mean temperature of Earth?

Option 1: 6 degree celsius

Option 2: 16-degree celsius

Option 3: 26-degree celsius

Option 4: 36-degree celsius

Team Careers360 22nd Jan, 2024

Correct Answer: 16-degree celsius


Solution : The correct answer is 16 degrees Celsius.

The mean temperature is calculated by adding different values of temperature on Earth and dividing it by the number of entries. Mean temperature is a fundamental metric representing the the average air temperature over various periods.

28 Views

Question : From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, then $\angle$APB is:

Option 1: 45°

Option 2: 90°

Option 3: 30°

Option 4: 60°

Team Careers360 5th Jan, 2024

Correct Answer: 60°


Solution :
Given: PA and PB are two tangents to the circle with centre O.
Let $r$ be the radius of the circle.
$\therefore$ OA $\perp$ PA
⇒ $\angle$OAP = 90°
In $\triangle$OPA,
$\sin\angle$OPA = $\frac{OA}{OP}=\frac{r}{2r}$ [Given OP is the diameter of the circle]
⇒ $\sin\angle$OPA =

21 Views

Question : Directions: Introducing a girl, Raju says, "She is the daughter of my grandfather's son's daughter". How is the girl related to Raju?

Option 1: Cousin

Option 2: Wife

Option 3: Sister

Option 4: Niece

Team Careers360 16th Jan, 2024

Correct Answer: Niece


Solution : According to the given information, the family tree is as follows –

 

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

Now, from the above diagram, Raju's grandfather's son's daughter is Raju's sister. So, that girl is the

42 Views

Question : Which of the following is not an application software?

Option 1: Operating systems

Option 2: Graphics software

Option 3: Spreadsheet software

Option 4: Word-processing software

Team Careers360 20th Jan, 2024

Correct Answer: Operating systems


Solution : The correct answer is Operating systems.

Operating systems are not considered application software. Operating systems, such as Windows, macOS, and Linux, are system software that manages computer hardware and provides services for other software applications to run. The other options—graphics software, spreadsheet software, and

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