Staff Selection Commission Combined Higher Secondary Level Exam
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
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
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: $30°$
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 $18°$.
Question : Aurangzeb (1658–1707 AD) was the ruler of which dynasty?
Option 1: Nanda
Option 2: Mughal
Option 3: Maurya
Option 4: Haryanka
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.
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
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
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
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 = $160000(1+\frac{5}{100})^4-160000$ = $160000[(\frac{21}{20})^4-1]$ = $160000[(\frac{194481-160000}{160000})]$ =
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:
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
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
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.
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°
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 =
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
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
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
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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