The problem asks us to identify the letter-cluster pair that does not follow the same pattern as the others. We need to analyze the positional values of the letters in the English alphabet for each pair and find a consistent rule or relationship.
From the analysis, Options A, C, and D follow the pattern where the letters in the second cluster are obtained by adding 2 to the positional values of the corresponding letters in the first cluster. Option B does not follow this pattern for the second letter.
B) SP - QI
In this pair, S (19) becomes Q (17) by subtracting 2 (\(19 - 2 = 17\)). However, P (16) becomes I (9) by subtracting 7 (\(16 - 7 = 9\)). This is different from the pattern observed in the other options where the second letter also follows a +2 rule.
To solve this problem, we need to track Raju's movements step-by-step and determine his final position relative to his starting point A. We can use a coordinate system or simply visualize the movements on a 2D plane. We will calculate the net displacement in the East-West and North-South directions.
B) 6 km to the south. Raju ends up at a position 6 km north of his starting point A. To return to A, he must travel 6 km south.
The problem asks for the maximum volume of identical containers such that two different quantities of oil (102 litres and 224 litres) can be completely filled into these containers, with each container holding only one type of oil. This means the volume of each container must be a common divisor of both 102 and 224. To find the maximum such volume, we need to find the Highest Common Factor (HCF) or Greatest Common Divisor (GCD) of 102 and 224.
Correct Option: D) 2
The question asks to identify the foundational registries of AgriStack under the Digital Agriculture Mission. This requires knowledge of the key components of the AgriStack initiative.
D) 1 and 3 only. The Digital Agriculture Mission, through AgriStack, aims to create a comprehensive digital ecosystem. The Farmers' Registry and Crop Sown Registry are two of its most critical foundational components, providing essential data about farmers and their agricultural activities.
The question asks about the primary role of RAM in a multitasking operating system when multiple applications are open. Understanding the characteristics of RAM (Random Access Memory) and how operating systems manage multiple tasks is key to answering this question.
B) It temporarily holds active program data and instructions to enable fast switching between tasks. This accurately describes the primary function of RAM in a multitasking environment. It acts as a high-speed workspace for the CPU, holding everything currently in use.
The question asks about the purpose of the 'One Nation, One Permit' scheme proposed by the Ministry of Road Transport and Highways. This scheme is a government initiative aimed at streamlining processes related to transportation. We need to identify which of the given options aligns with the core objective of such a scheme in the context of road transport.
C) Ease of transport for inter-state freight vehicles — This option accurately describes the primary purpose of the 'One Nation, One Permit' scheme. The scheme aims to simplify the permit regime for commercial goods vehicles, allowing them to operate across state borders with a single permit, thereby reducing logistical hurdles and improving efficiency in freight movement.
The question asks about the administration of agrahara lands during the post-Gupta period. This requires knowledge of the land grant systems prevalent in ancient and early medieval India, particularly the beneficiaries and administrators of such grants.
B) Brahmins were the primary recipients and administrators of agrahara lands. These grants were specifically made to them for their religious and scholarly services, and they exercised significant control over these granted territories.
To find the surface area of a sphere, we first need to determine its radius from the given diameter. Then, we use the formula for the surface area of a sphere, which is \(4 \pi r^2\).
The diameter of the sphere is \(D = 112 \text{ cm}\).
The radius of a sphere is half of its diameter.
\[ r = \frac{D}{2} = \frac{112 \text{ cm}}{2} = 56 \text{ cm} \]The formula for the surface area (\(A\)) of a sphere is:
\[ A = 4 \pi r^2 \]Using \(\pi = \frac{22}{7}\) and \(r = 56 \text{ cm}\):
\[ A = 4 \times \frac{22}{7} \times (56 \text{ cm})^2 \]\[ A = 4 \times \frac{22}{7} \times 56 \text{ cm} \times 56 \text{ cm} \]Divide 56 by 7:
\[ A = 4 \times 22 \times \frac{56}{7} \times 56 \text{ cm}^2 \]\[ A = 4 \times 22 \times 8 \times 56 \text{ cm}^2 \]Correct Option: D) 39,424 cm²
The problem asks us to find the duration (time) for which a principal amount accumulates to a certain sum at a given simple interest rate. We will first calculate the simple interest earned, then use the simple interest formula to find the time period.
Simple Interest is the difference between the Amount and the Principal.
\[ \text{SI} = \text{A} - \text{P} \]Substitute the given values:
\[ \text{SI} = \text{₹}2,220 - \text{₹}1,200 = \text{₹}1,020 \]The formula for Simple Interest is:
\[ \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \]We need to find T, so rearrange the formula:
\[ \text{T} = \frac{\text{SI} \times 100}{\text{P} \times \text{R}} \]Substitute the calculated SI and the given P and R values:
\[ \text{T} = \frac{1020 \times 100}{1200 \times 20} \]Simplify the expression:
\[ \text{T} = \frac{1020 \times 100}{24000} \]Cancel out common zeros:
\[ \text{T} = \frac{1020}{240} \]Divide 1020 by 240:
\[ \text{T} = \frac{102}{24} \]Further simplify by dividing both numerator and denominator by 6:
\[ \text{T} = \frac{17}{4} \]Convert the fraction to a decimal:
\[ \text{T} = 4.25 \text{ years} \]C) 4.25