Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $\theta$ is an acute angle and $\cos\theta=\frac{11}{17}$, what is the value of $\tan\theta$?
Option 1: $\frac{4 \sqrt{10}}{11}$
Option 2: $\frac{13}{11}$
Option 3: $\frac{2 \sqrt{42}}{11}$
Option 4: $\frac{2 \sqrt{42}}{17}$
Correct Answer: $\frac{2 \sqrt{42}}{11}$
Solution : Given: $\cos\theta=\frac{11}{17}$ Let the Base = 11 units and the Hypotenuse = 17 units We know, $\text{Perpendicular} = \sqrt{(\text{Hypotenuse})^2–(\text{Base})^2}$ So, $\text{Perpendicular} = \sqrt{17^2–11^2}=\sqrt{289–121}=\sqrt{168}=2\sqrt{42}$ units Therefore, $\tan\theta=\frac{\text{Perpendicular}}{\text{Base}}=\frac{2\sqrt{42}}{11}$ Hence, the correct answer is $\frac{2\sqrt{42}}{11}$.
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. All D are E. II. Some E are F. Conclusions: I. All D are F. II. Some F is E. III. All E is D.
Option 1: Only conclusion III follows
Option 2: Only conclusion II follows
Option 3: All conclusion follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Conclusion I: All D are F – From the above diagram, there is no direct relation between D and F. So, this conclusion doesn't follow. Conclusion II: Some F
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. HK, ?, PQ, TT, XW
Option 1: LN
Option 2: NO
Option 3: LK
Option 4: NM
Correct Answer: LN
Solution : Given: HK, ?, PQ, TT, XW
Add 3, and 4 to the positional value of the first and second letters respectively of the previous term to get the next term in the series. First letter of the series→H + 4 = L; L + 4
Question : Which of the following organisms does not fit into the Cell Theory?
Option 1: Bacteria
Option 2: Virus
Option 3: Fungi
Option 4: Plants
Correct Answer: Virus
Solution : The correct option is the Virus.
Virus defies cell theory because they lack the features of a living cell. They require infecting host cells to perform fundamental life functions such as replication and reproduction. The virus also lacks the cellular structure prerequisite for cells as
Question : Savaj is the official mascot of which of the following events?
Option 1: Khelo India Youth Games 2023
Option 2: FIH Men's World Cup Hockey 2023
Option 3: Commonwealth Games
Option 4: 36th National Games of India
Correct Answer: 36th National Games of India
Solution : The correct answer is the 36th National Games of India.
Savaj was the official mascot of the 36th National Games of India, and the official motto of the games was “celebrating unity through sports." The game's mascot was Savaj,
Question : Two trains, 180 meters and 120 meters in length, are running towards each other on parallel tracks, one at the rate of 65 km/h and another at 55 km/h. In how many seconds will they be clear of each other from the moment they meet?
Option 1: 6
Option 2: 9
Option 3: 12
Option 4: 15
Correct Answer: 9
Solution : Use: Time taken to cross each other = $\frac{\text{Sum of the lengths of two trains}}{\text{Relative Speed}}$ Speed of 1st train = 65 km/h Speed of 2nd train = 55 km/h They run in opposite directions, therefore, Relative speed = 65 + 55 = 120 km/h
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
It is quite tough to declare which candidate will win the presidential election.
(1) Predict
(2) Augur
(3) Portend
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option.
Predict means to forecast or estimate an outcome or event, especially based on evidence or prior knowledge. In the context of an election, it's common to use predict when discussing which candidate will win because it
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."
At this time of the year (1) / the mountains are (2) / usually covered with ice. (3) / No Error (4)
Solution : The error lies in the first part of the sentence.
"At" is usually used to refer to a specific time, but here the author is talking in the general sense. So, "during" is correct, as it conveys the intended meaning, which is that the mountains
Question : In which year was the Prevention of Terrorism Act(POTA) enacted?
Option 1: 2000
Option 2: 2001
Option 3: 2002
Option 4: 2003
Correct Answer: 2002
Solution : The Correct Answer is 2002.
The Prevention of Terrorism Act (POTA), was an Act brought by the National Democratic Alliance (NDA) government. To strengthen counterterrorism efforts, the Indian Parliament passed the Prevention of Terrorism Act, 2002 (POTA). This Act was introduced to address the matters
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Primitive cultures are those that exist in societies that have not yet developed advanced technology or complex social (1)_________ These cultures are often characterised by their close relationship with the natural world. Despite being considered 'primitive', these cultures have a rich history and a unique way of life that is (2)___________ studying and preserving. These cultures often have a deep understanding of the environment and its cycles, and they have developed intricate systems of knowledge and belief that are closely tied to nature. For example, indigenous cultures in the Amazon rainforest have an (3)_____________ knowledge of the medicinal properties of plants and the cycles of the seasons, which they use to sustain themselves and their communities. Another important aspect is that these cultures often have complex systems of kinship and social hierarchy. Despite many challenges that primitive cultures face, including the (4)____________ of modern societies and environmental degradation, these cultures have an important role to play in our understanding of the human experience. They offer a different (5)____________ on the world and its complexities, and their traditions and knowledge have the potential to inform and enrich our modern lives. Select the most appropriate option to fill in the blank 1.
Option 1: borders
Option 2: outlines
Option 3: structures
Option 4: configurations
Correct Answer: structures
Solution : The correct choice is the third option.
Explanation: In the context of discussing societies that have not yet developed advanced technology or complex social structures, the word "structures" makes logical sense. It refers to the organisation or arrangement of elements in a society.
The other
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
