If secA=13/5 and A is acute, find sinA.

The ratio of efficiencies of 2 workers , P and Q is 5:2. If P can complete a project in 12 days, how many days will Q take to complete the same project alone ?

Select the most appropriate synonym of the given word: ABNEGATE

Choose the correct meaning of idiom: Move heaven and earth

Select the most appropriate antonym of the given word. Puissant

Identify the misspelt word

Spot the correct spelling of a drug-effect psychology field.

Choose the correct one-word substitute for: 'A person who abstains from all forms of indulgence'.

Select the correct option: Neither the principal investigator the co-authors anticipated the backlash.

Select the correct option: The board will convene next Friday, final approval is expected.

Select the correct option: Nothing short of a paradigm shift will the entrenched bureaucratic inertia.

Find the part of the sentence that contains an error: Much of what appears to be coordination (1)/ among the regulatory bodies and private stakeholders (2)/ are, in fact, coincidental overlaps (3)/ caused by differing mandates. (4)

Find the part of the sentence that contains an error: That the framework lacks provisions for backward compatibility (1)/ is less problematic than the assumption (2)/ that all peripheral institutions will, without coercion, (3)/ adheres to the central directive as framed. (4)

Change the following from active to passive: People can seldom access archived manuscripts without clearance.

Select the sentence containing the homonym of the highlighted word:

The prince's gules dominated the family coat of arms.

Which of the following best reflects the fundamental objective of applying generative design in aerospace systems engineering?

The function of lysosomes in cells is:

Which of the following statements regarding Article 270 are correct?

1. Article 270 governs the sharing of taxes between the Union and States, including proceeds from GST.

2. After the 101st Constitutional Amendment, Article 270 includes provisions for distributing revenue from Union taxes and GST.

3. The GST Compensation Cess is also shared between the Union and States under Article 270.

If Earth's radius were reduced by 1% while its mass remained unchanged, what would be the effect on the gravitational acceleration at its surface?

Under Bharatiya Nagarik Suraksha Sanhita(BNSS), what is the maximum period for which a person can be held in police custody in total, even if remanded periodically by a magistrate?

What is the age range for farmers to enrol in the Pradhan Mantri Kisan Maandhan Yojana (PM-KMY)?

Read the below statements marked as Assertion (A) and Reason (R). Mark the correct options: Assertion (A): UDAN Scheme improves regional air connectivity. Reason (R): It provides financial viability gap funding to airlines.

According to the Global Cities Index 2025 by Oxford Economics, which two cities retained their top positions?

Which of the following statements about light industries is correct?

Schedule VII of the Constitution contains _____.

A coastal city implements a plan to build sea walls and elevate buildings in response to rising sea levels. This action primarily falls under which category of climate change response?

What specific physical quantity ensures a satellite maintains its orbit without continuous propulsion?

Consider the following statements about the phases of long jump:

1) The athlete attains maximum momentum by running on the runway before take-off.

2) During take-off, the athlete pushes off with the weaker foot to maintain balance.

Which of the statements given above are correct?

Mary Kom's most recent international gold medal was won at which tourmament?

The Regulating Act of 1773 primarily introduced changes in the Company's administration in which two distinct areas?

Consider the following statements regarding India's water-sharing treaties with its neighbours:

1) The Mahakali Treaty signed with Nepal in 1996 includes provisions for integrated development of the Mahakali River and the Pancheshwar Project.

2) The Ganga Water Treaty signed with Bangladesh in 1996 allows for the sharing of Ganga waters at Farakka throughout the entire year.

Which of the statements above is/are correct?

Convert the sentence provided below from its passive voice structure to an active voice structure: The package is delivered to the office every morning.

Read the following passage and answer the questions based on the passage: What primary democratic function does social media serve, as per the paragraph?

Read the following passage and answer the questions based on the passage: What makes social media a double-edged tool in democratic societies?

Fill in the blank: Under the SLKIC vertical of Khelo India,......................... Kendriya Vidyalayas have been adopted in partnership with KVS.

Consider the following statements about "The Adventures of Kakababu, Volume 1" by Sunil Gangopadhyaya:

1) A pioneering Bengali adventure novel featuring detective Kakababu with mystery and cultural themes.

2) A political satire on post-independence Indian governance.

3) An autobiography of the author's freedom fighter experiences in Bengal.

Which of the above statements is/are correct?

Read the following passage and answer the questions based on the passage: According to the paragraph, which element amplifies marginalized voices through social media?

Read the following passage and answer the questions based on the passage: What does the author suggest as a critical solution to social media misuse in democracies?

Which indian political leader addressed a special session in 2025 on "Environment, COP-30, and Global Health"?

Which of the following types of landslides involves backward rotation of the slipping material?

What is meant by population density?

Assertion (A) and Reason (R) are given below. Choose the correct option:

Assertion (A): Population explosion occurs when death rates decline rapidly but birth rates remain high.

Reason (R): Societal reproductive behavior changes instantly with improvements in healthcare.

Read the following passage and answer the questions based on the passage: platforms alike. In the author's view, what determines whether social media supports or undermines democracy?

Choose the most suitable option to replace the highlighted part of the sentence: No sooner had I reached the station when the train departed.

Choose the most suitable option to replace the highlighted part of the sentence: The manager asked to the clerk to submit the report.

A sentence is provided in direct speech. From the four given options, choose the one that most accurately conveys the sentence in its corresponding indirect speech. She said, "I saw him last night."

A sentence is provided in indirect speech. From the four given options, choose the one that most accurately conveys the sentence in its corresponding direct speech. The librarian said that silence must be maintained in the library.

Rearrange the following sentences to form a coherent paragraph:

1. Consequently, effective communication hinges on more than just the words we choose. 2. Non-verbal cues, such as tone of voice, facial expressions, and body language, can convey more meaning than the verbal message itself. 3. Communication is a complex process involving the exchange of information, ideas, and feelings between individuals. 4. It's often the subtle signals that tell us how a message is truly being received or intended.

Rearrange the following sentences to form a coherent paragraph:

1. A key strategy is to diversify energy sources, transitioning from fossil fuels to renewable alternatives like solar, wind, and geothermal power.2. To mitigate the worst effects of climate change, the global community must drastically reduce its reliance on carbon-intensive energy production.3. This shift not only decreases greenhouse gas emissions but also improves air quality and creates new economic opportunities.4. Additionally, policies that promote energy efficiency in buildings and transportation can further lower overall energy consumption.