The question asks for the age limit that defines a 'child' according to Section 2(12) of The Juvenile Justice (Care and Protection of Children) Act, 2015. This requires knowledge of the specific legal definition provided in the Act.
C) 18
Section 2(12) of The Juvenile Justice (Care and Protection of Children) Act, 2015, clearly defines a child as a person who has not completed eighteen years of age. This aligns with international standards for the definition of a child, such as those set by the United Nations Convention on the Rights of the Child (UNCRC).
To solve this problem, we need to track Raghav's movements on a 2D plane. We can represent his path using coordinates or by breaking down his movements into net displacement along the North-South and East-West axes. We'll assume North is positive Y-axis and East is positive X-axis.
Correct Option: B) 3 km towards the east
A, B, C, D, E, F, G and H are sitting around a square table facing the centre of the table. Some of them are sitting at the corners, while some are sitting at the middle of the sides. G sits third to the left of D. G sits at one of the corners. B sits second to the right of A. A does not sit at any of the corners. A is not an immediate neighbour of G. H is an immediate neighbour of C. H does not sit at any of the middle of the sides. Only three people sit between H and F.
Who sits third to the left of E?
The problem requires us to rearrange the digits of a given number in descending order and then identify two specific digits in the new arrangement. Finally, we need to calculate the sum of these two digits.
Thus, the sum of the digits which are third from the left and second from the right in the new number is 7.
Correct Option: D) 7
The question asks to identify which option is NOT a component of aggregate demand in an economy. Aggregate demand (AD) represents the total demand for all finished goods and services produced in an economy over a specific period. It is typically calculated using the expenditure approach to GDP.
B) Increase in population is not a direct component of aggregate demand. While population changes can influence overall economic activity and demand in the long run, it is not an expenditure category like consumption, investment, government spending, or net exports.
Tarnishing of ornaments, particularly silver, is a common chemical process. To identify the type of reaction, we need to understand what happens to the metal when it tarnishes. This involves interaction with substances in the environment, leading to a change in the metal's chemical state.
Correct Option: B) oxidation reaction
Tarnishing of ornaments, particularly silver, involves the metal reacting with substances like hydrogen sulfide in the air to form a metal sulfide (e.g., silver sulfide). In this process, the metal loses electrons, which is the definition of oxidation. Therefore, tarnishing is an oxidation reaction.
The question asks about the constitutional provision under which the Finance Commission of India is established. This requires knowledge of specific articles of the Indian Constitution related to financial matters and constitutional bodies.
A) Article 280 is the correct answer because it explicitly provides for the establishment of the Finance Commission of India. This article outlines the composition, functions, and terms of reference for the Finance Commission, which is crucial for fiscal federalism in India.
The problem involves decoding a pattern in how words are transformed into coded words. We need to identify the rule applied to the letters of the given words (ELDERLY and GENERAL) to produce their respective codes. Once the rule is identified, we apply it to the word NUCLEAR to find its code.
Correct Option: C) CUNLRAE
The question involves linear seating arrangement. All people are sitting in a row facing north. We need to determine the positions of Lalit, Leela, Sheetal, and Neena using the given conditions. Since Leela's position from the right end is known, we can calculate the total number of people in the row.
Identify Lalit's position:
Lalit is third from the left end.
Therefore, Lalit occupies position 3.
Determine Purnima's position:
Lalit sits fourth to the left of Purnima.
Therefore, Purnima's position from the left is:
\[ 3+4=7 \]Hence, Purnima occupies position 7.
Determine Sheetal's position:
Only four people sit between Sheetal and Lalit.
Therefore, the difference between their positions is 5.
Since Lalit occupies position 3, Sheetal must be at:
\[ 3+5=8 \]Hence, Sheetal occupies position 8.
Determine Neena's position:
Only four people sit between Sheetal and Neena.
Therefore, the difference between their positions is 5.
Since Sheetal occupies position 8, Neena can occupy either:
\[ 8-5=3 \]or
\[ 8+5=13 \]Position 3 is already occupied by Lalit.
Therefore, Neena occupies position 13.
Determine Leela's position:
Leela is an immediate neighbour of Lalit, who occupies position 3.
Therefore, Leela can occupy position 2 or position 4.
Leela is also eleventh from the right end.
If Leela occupies position 2, the total number of people would be:
\[ 2+11-1=12 \]However, Neena occupies position 13, so the row must contain at least 13 people. Therefore, Leela cannot occupy position 2.
Hence, Leela occupies position 4.
Calculate the total number of people:
Leela is fourth from the left end and eleventh from the right end.
The total number of people is:
\[ \text{Total}=\text{Left position}+\text{Right position}-1 \] \[ =4+11-1 \] \[ \boxed{14} \]Therefore, 14 people are sitting in the row.
Correct Option: A) 14 — Lalit occupies position 3, Purnima position 7, Sheetal position 8, and Neena position 13. Leela must occupy position 4 because position 2 would result in a row of only 12 people, which cannot accommodate Neena at position 13. Since Leela is fourth from the left and eleventh from the right, the total number of people is \(4+11-1=14\). Hence, Option A is the correct answer.
B) 33: This is incorrect because a row of 33 people would place Leela at position 23 from the left, which is not immediately adjacent to Lalit at position 3.
C) 23: This is incorrect because a row of 23 people would place Leela at position 13 from the left, which is not an immediate neighbour of Lalit.
D) 18: This is incorrect because a row of 18 people would place Leela at position 8 from the left, whereas Leela must be immediately adjacent to Lalit at position 3.
To find the Least Common Multiple (LCM) of a set of numbers, we can use the prime factorization method. This involves finding the prime factors of each number and then taking the highest power of each prime factor present in any of the numbers.
Prime Factorization of each number:
For 36:
\[ 36 = 2 \times 18 = 2 \times 2 \times 9 = 2^2 \times 3^2 \]For 54:
\[ 54 = 2 \times 27 = 2 \times 3 \times 9 = 2 \times 3^3 \]For 72:
\[ 72 = 2 \times 36 = 2 \times 2 \times 18 = 2 \times 2 \times 2 \times 9 = 2^3 \times 3^2 \]For 96:
\[ 96 = 2 \times 48 = 2 \times 2 \times 24 = 2 \times 2 \times 2 \times 12 = 2 \times 2 \times 2 \times 2 \times 6 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 = 2^5 \times 3 \]Identify all unique prime factors and their highest powers:
The unique prime factors involved are 2 and 3.
Highest power of 2:
From \(2^2\) (in 36), \(2^1\) (in 54), \(2^3\) (in 72), and \(2^5\) (in 96), the highest power of 2 is \(2^5\).
Highest power of 3:
From \(3^2\) (in 36), \(3^3\) (in 54), \(3^2\) (in 72), and \(3^1\) (in 96), the highest power of 3 is \(3^3\).
Calculate the LCM:
Multiply the highest powers of all unique prime factors:
\[ \text{LCM} = 2^5 \times 3^3 \] \[ \text{LCM} = 32 \times 27 \]To calculate \(32 \times 27\):
\[ 32 \times 27 = 32 \times (20 + 7) = (32 \times 20) + (32 \times 7) \] \[ = 640 + 224 = 864 \]Correct Option: B) 864