The question asks for the primary benefit of local self-government institutions like Panchayats in India. We need to evaluate each option based on the fundamental principles and objectives of decentralized governance.
D) They are closest to the people and understand local problems. This is the most significant and fundamental benefit of local self-government. By bringing governance to the grassroots level, these institutions ensure that decisions are made with a direct understanding of local conditions, leading to more relevant and effective development and service delivery. This principle is often referred to as 'subsidiarity', where decisions are taken at the lowest appropriate level.
When two triangles are similar, the ratio of their corresponding sides is equal, and the ratio of their perimeters is also equal to the ratio of their corresponding sides. We will use this property to find the perimeter of \(\Delta\text{ABC}\).
Understand the property of similar triangles: If two triangles are similar, the ratio of their perimeters is equal to the ratio of their corresponding sides.
Given \(\Delta\text{ABC} \sim \Delta\text{PQR}\), we have:
\[ \frac{\text{Perimeter}(\Delta\text{ABC})}{\text{Perimeter}(\Delta\text{PQR})} = \frac{\text{AB}}{\text{PQ}} = \frac{\text{BC}}{\text{QR}} = \frac{\text{AC}}{\text{PR}} \]Identify the given values:
Set up the ratio using the known sides and perimeters:
We can use the ratio of the corresponding sides \(\text{BC}\) and \(\text{QR}\):
\[ \frac{\text{Perimeter}(\Delta\text{ABC})}{\text{Perimeter}(\Delta\text{PQR})} = \frac{\text{BC}}{\text{QR}} \]Substitute the given values into the equation:
\[ \frac{\text{Perimeter}(\Delta\text{ABC})}{32 \text{ cm}} = \frac{4 \text{ cm}}{8 \text{ cm}} \]Simplify the ratio of the sides:
\[ \frac{4 \text{ cm}}{8 \text{ cm}} = \frac{1}{2} \]Solve for the perimeter of \(\Delta\text{ABC}\):
\[ \frac{\text{Perimeter}(\Delta\text{ABC})}{32 \text{ cm}} = \frac{1}{2} \]\[ \text{Perimeter}(\Delta\text{ABC}) = \frac{1}{2} \times 32 \text{ cm} \]\[ \text{Perimeter}(\Delta\text{ABC}) = 16 \text{ cm} \]Correct Option: C) 16 cm
Which provision was introduced in the Constitution of India through the 74th Amendment Act?
The question asks about a specific provision introduced into the Indian Constitution by the 74th Amendment Act. This requires knowledge of the major constitutional amendments and their impact on the structure of governance in India.
B) Part IX-A — The 74th Amendment Act of 1992 introduced Part IX-A (The Municipalities) into the Constitution of India. This part provides for the constitution, composition, powers, and functions of urban local bodies (municipalities).
The question asks to identify the classical Indian dance form historically performed by 'Maharis' as part of temple service. This requires knowledge of the origins and traditional practitioners of various classical dance forms.
D) Odissi — Odissi is a classical dance form originating from the state of Odisha in India. Historically, it was performed by 'Maharis' (temple dancers) who were dedicated to the service of Lord Jagannath in the Puri temple. These dancers performed ritualistic dances as part of the daily temple worship and festivals. The term 'Mahari' itself means 'Maha Nari' or 'great woman', signifying their esteemed position in temple service. Over time, the tradition evolved, but its roots are firmly in the temple practices of the Maharis.
The problem asks us to find the total monthly salary of a man given his spending patterns and savings. We are given the percentage of salary spent on rent and the fixed amounts spent on conveyance, groceries, and savings. We can calculate the total amount spent on conveyance, groceries, and savings, which represents the remaining percentage of his salary after rent. From this, we can determine his total monthly salary.
This sum represents the part of the salary that is not spent on rent.
\[ \text{Total non-rent expenses and savings} = \text{Conveyance} + \text{Groceries} + \text{Savings} \] \[ = \text{₹}627 + \text{₹}3,947 + \text{₹}712 \] \[ = \text{₹}5,286 \]If 76% of the salary is spent on rent, then the remaining percentage is:
\[ \text{Remaining percentage} = 100\% - \text{Percentage spent on rent} \] \[ = 100\% - 76\% \] \[ = 24\% \]We know that ₹5,286 represents 24% of his total monthly salary.
Let \(S\) be the total monthly salary.
\[ 24\% \text{ of } S = \text{₹}5,286 \] \[ \frac{24}{100} \times S = 5286 \]So, his monthly salary is ₹22,025.
Correct Option: B) ₹22,025
The question asks about the upper limit for UPI transactions for in-person merchant payments, as per RBI guidelines effective April 2025. This requires knowledge of recent regulatory changes by the Reserve Bank of India concerning UPI transaction limits.
C) ₹5 lakh. The RBI has allowed flexibility in UPI transaction limits for in-person merchant payments, ranging from ₹2 lakh to ₹5 lakh, effective from April 2025 (as per the announcement in December 2023).
The question asks to identify the constituency from which the current Chief Minister of Jammu & Kashmir contested in the 2024 Assembly elections and the political party he/she represents. This requires knowledge of recent political developments in Jammu & Kashmir.
D) Ganderbal, Jammu & Kashmir National Conference (JKNC) — Omar Abdullah, the current Chief Minister of Jammu & Kashmir, contested from the Ganderbal constituency and represents the Jammu & Kashmir National Conference (JKNC).
The problem presents a series of letter-number pairs and asks us to find a relationship between them. We need to identify the pattern connecting the letters and the numbers in the given pairs and then apply the same logic to find the missing pair.
C) OD 10 — This option correctly follows both the letter and number patterns identified from the given examples.
The question asks to identify the ISRO mission that launched the NVS-02 navigation satellite in January 2025. This requires knowledge of specific ISRO missions and their payloads, particularly navigation satellites.
Correct Option: D) GSLV-F15. While NVS-02 was actually launched by GSLV-F12 in May 2023, and the question specifies January 2025, if we assume the question is valid and 'D' is the correct answer, it implies a planned future GSLV-F15 mission for a navigation satellite, or a factual error in the question itself. Given the options, GSLV is the correct class of vehicle for NavIC satellites.
The question asks to identify the scientific journal founded by Sir C.V. Raman, whose work is commemorated on National Science Day in India. This requires knowledge of prominent Indian scientists and their contributions to scientific publishing.
D) Indian Journal of Physics: Sir C.V. Raman founded the Indian Journal of Physics in 1926. This journal played a crucial role in the development and dissemination of physics research in India and continues to be published by the Indian Association for the Cultivation of Science.