The length of the base of a triangle is equal to the perimeter of a square whose diagonal is 7\(\sqrt{2}\) cm and the corresponding height of the triangle is equal to the length of a side of the square whose area is 169 sq cm. The area (in sq cm) of the triangle is:
The problem requires us to calculate the area of a triangle. To do this, we need its base and height. The problem provides information about the base and height in terms of properties of two different squares. We will first find the side lengths of these squares using the given information (diagonal for the first square, area for the second square). Then, we will use these side lengths to determine the base and height of the triangle and finally calculate its area.
B) 182
The calculated area of the triangle is 182 sq cm, which matches option B.
The problem presents a series of three-letter combinations and asks us to find the next combination in the sequence. We need to identify the pattern in how the letters change from one combination to the next, based on their positions in the English alphabet.
C) PRV is the correct option because it follows the established pattern of incrementing each letter by one position in the English alphabet from the previous combination.
The question asks for the month in 2024 when the Public Examinations (Prevention of Unfair Means) Act, 2024, came into effect. This requires knowledge of recent legislative developments in India.
Correct Option: B) The Public Examinations (Prevention of Unfair Means) Act, 2024, came into effect in June 2024, specifically on June 21, 2024, as per the notification issued by the Department of Personnel and Training.
The problem requires us to transform each letter in the word "ENGLISH" based on whether it is a vowel or a consonant. Vowels are changed to the letter following them in the alphabet, and consonants are changed to the letter preceding them. After this transformation, we need to identify the letter in the second position from the left in the new word.
Combining the transformed letters in order, the new word is F M F K J R G.
In the new word F M F K J R G, the second letter from the left is M.
Correct Option: B) M
The phenomenon of white light splitting into its constituent colours when passing through a prism is called dispersion. This occurs because different colours of light have different wavelengths and thus travel at different speeds through the prism material, leading to different refractive indices and angles of deviation. The colour with the longest wavelength is deviated the least, and the colour with the shortest wavelength is deviated the most.
B) Yellow — Yellow light has a longer wavelength than Indigo, Blue, and Green. In the visible spectrum, colours with longer wavelengths (closer to red) are deviated less by a prism. Therefore, Yellow light will be deviated the least among the given options.
The question asks for India's score in the Women, Business and the Law 2024 (WBL2024) report. This requires knowledge of the specific data released in the report.
Correct Option: B) 74.4 is the correct score for India as per the Women, Business and the Law 2024 report.
The question asks to identify the digital payment platform with which ICICI Bank partnered in October 2024 to offer instant credit on UPI for pre-approved customers. This requires knowledge of recent collaborations in the fintech sector, specifically involving ICICI Bank and UPI-based credit services.
Correct Option: B) ICICI Bank partnered with PhonePe in October 2024 to provide instant credit on UPI for pre-approved customers, offering up to ₹2 lakh credit with a 45-day repayment period. This initiative allows customers to access pre-approved credit directly through the PhonePe app for their UPI transactions, enhancing convenience and liquidity.
The question asks for the basic building units of organisms. This is a fundamental concept in biology, referring to the smallest structural and functional unit of life.
Correct Option: A) Cells are the basic structural and functional units of all known organisms. They are the smallest units of life that can replicate independently and carry out all the necessary functions for life, such as metabolism, growth, and reproduction.
This question tests general knowledge about cultural festivals. To answer correctly, one needs to know the duration of the Ashtalakshmi Mahotsav scheduled for December 2024.
Correct Option: D) Three days