The question asks to identify the location of the Kailasa Temple, which is renowned as the largest monolithic rock structure in the world. This requires knowledge of famous ancient Indian rock-cut architecture.
C) Ellora caves — The Kailasa Temple (Cave 16) is indeed located in the Ellora Caves, Maharashtra. It is a magnificent example of Indian rock-cut architecture, carved out of a single massive rock and dedicated to Lord Shiva. It is considered one of the most impressive cave temples in India due to its scale, architectural complexity, and sculptural ornamentation.
To solve this problem, we need to first identify the odd and even digits in the given number. Then, we apply the specified operations (add 2 to odd digits and subtract 1 from even digits) to form a new number. Finally, we find the highest and lowest digits in this new number and calculate their difference.
Thus, the difference between the highest and lowest digits in the number formed is 8.
Correct Option: B) 8
The problem requires us to modify a given number based on specific rules for its odd and even digits and then identify the digit at a particular position in the new number. We will process each digit of the original number according to the rules and then form the new number to find the second digit from the left.
Therefore, the second digit from the left in the new number is 0.
Correct Option: C) 0
The question asks to identify which aircraft's midlife upgrade is a highlight at DRDO's outdoor display in Aero India 2025. This requires knowledge of recent defense exhibitions and DRDO's showcased projects.
Correct Option: B) The Dornier 228 aircraft's midlife upgrade, which includes significant indigenization and enhancement of its capabilities, has been a prominent display by DRDO and HAL at recent Aero India events. This upgrade aims to extend the operational life and improve the performance of the aircraft for various roles, including maritime surveillance and utility transport.
This is a work and time problem. We will calculate the individual work rates, then set up an equation based on the work done by each person during different phases of the work. Let the total work be 1 unit and the total number of days be \(T\).
The total work done is the sum of the work done by each person.
\[ \left(\text{Nick's work rate} \times \text{Nick's working days}\right) + \left(\text{Kevin's work rate} \times \text{Kevin's working days}\right) + \left(\text{Joe's work rate} \times \text{Joe's working days}\right) = 1 \]\[ \left(\frac{1}{3} \times 1\right) + \left(\frac{1}{9} \times (T - 2)\right) + \left(\frac{1}{27} \times T\right) = 1 \]Multiply the entire equation by the least common multiple (LCM) of 3, 9, and 27, which is 27, to eliminate fractions.
\[ 27 \times \frac{1}{3} + 27 \times \frac{T - 2}{9} + 27 \times \frac{T}{27} = 27 \times 1 \]\[ 9 + 3(T - 2) + T = 27 \]\[ 9 + 3T - 6 + T = 27 \]\[ 4T + 3 = 27 \]\[ 4T = 27 - 3 \]\[ 4T = 24 \]\[ T = \frac{24}{4} \]\[ T = 6 \]D) 6
The total number of days taken to complete the work is 6 days.
To find the mode of a set of observations, we need to identify the number that appears most frequently in the given data set. This involves counting the occurrences of each distinct number.
Correct Option: D) 4 — The number 4 appears 5 times, which is the highest frequency among all the observations. Therefore, 4 is the mode.
The question asks about a Supreme Court ruling concerning the Maintenance and Welfare of Parents and Senior Citizens Act, 2007. To answer this, one needs to understand the key provisions of the Act, particularly Section 23, and how courts have interpreted it, especially regarding property transfers and maintenance.
The Supreme Court, in various judgments, has emphasized the protective nature of the Act for senior citizens, allowing tribunals to intervene and cancel property transfers where the condition of providing maintenance, whether express or implied, is violated.
Section 23 of the Maintenance and Welfare of Parents and Senior Citizens Act, 2007, explicitly empowers the Maintenance Tribunal to declare a property transfer void if the transferee fails to provide basic amenities and physical needs to the senior citizen, which was a condition for the transfer. This is a fundamental aspect of the Act's protective mechanism for senior citizens.
We are given the ratio of three numbers and their Least Common Multiple (LCM). We need to find their Highest Common Factor (HCF). We can express the numbers in terms of their HCF and the given ratio, then use the property that the LCM of numbers is the product of their HCF and the LCM of their ratio components.
Let the three numbers be \(N_1\), \(N_2\), and \(N_3\).
The ratio of the three numbers is given as \(2 : 7 : 13\).
Let the HCF of these three numbers be \(H\).
Then, the numbers can be written as:
The LCM of these three numbers is given as \(3094\).
The LCM of numbers \(aH, bH, cH\) is given by \(H \times \text{LCM}(a, b, c)\).
In our case, \(a=2\), \(b=7\), \(c=13\). These numbers (2, 7, 13) are prime numbers, and thus they are pairwise coprime.
The LCM of pairwise coprime numbers is their product.
\[ \text{LCM}(2, 7, 13) = 2 \times 7 \times 13 = 14 \times 13 = 182 \]Now, we can write the LCM of the three numbers as:
\[ \text{LCM}(N_1, N_2, N_3) = H \times \text{LCM}(2, 7, 13) \] \[ 3094 = H \times 182 \]To find \(H\), we divide \(3094\) by \(182\):
\[ H = \frac{3094}{182} \]Performing the division:
\[ 3094 \div 182 = 17 \]So, \(H = 17\).
The HCF of the three numbers is \(17\).
Correct Option: A) 17
The problem involves identifying a pattern in letter and number sequences. We need to find the relationship between the first pair (HT 17 and GQ 6) and apply the same logic to the second pair (LX 9 and KU -2) to confirm the pattern. Once the pattern is established, we will apply it to the third sequence (QR 6) to find the related option.
The pattern is consistent: the first letter decreases by 1 position, the second letter decreases by 3 positions, and the number decreases by 11.
Therefore, QR 6 is related to PO -5.
C) PO -5 is the correct option as it follows the established pattern of decreasing the first letter by 1, the second letter by 3, and the number by 11.
The question asks for the full form of CMOS, which is commonly associated with storing system configuration in computers. This requires knowledge of computer hardware terminology.
Correct Option: C) Complementary Metal-Oxide Semiconductor