The question asks to identify the correct term for the scientific study of birds. This is a direct knowledge-based question related to biological terminology.
Correct Option: B) Ornithology is the scientific study of birds. The term comes from the Greek words "ornithos" (bird) and "logos" (study).
This is a circular seating arrangement problem. We need to deduce the positions of six people around a circular table based on the given clues and then identify the person who is fourth to the right of Geet.
A) Raj is fourth to the right of Geet, as determined by the final seating arrangement.
The question asks for the full form of "DISHA" in the context of the Pradhan Mantri Gramin DISHA (PMGDISHA) Programme. This requires knowledge of government schemes and their acronyms.
Correct Option: B) Digital Saksharta Abhiyan
The Pradhan Mantri Gramin Digital Saksharta Abhiyan (PMGDISHA) is a scheme launched by the Government of India to make at least one person in every eligible rural household digitally literate. The acronym DISHA specifically refers to "Digital Saksharta Abhiyan", which translates to "Digital Literacy Campaign".
The question asks for the scientific term for near-sightedness in humans. This requires knowledge of common eye conditions and their medical names.
B) Myopia — Myopia is the medical term for near-sightedness. It occurs when the eyeball is too long or the cornea is too curved, causing light to focus in front of the retina instead of directly on it.
The question asks to identify the Northeast Indian state to which the famous Hornbill Festival is unique. This requires knowledge of prominent cultural festivals and their associated states in India's Northeast region.
Correct Option: B) Nagaland — The Hornbill Festival is a unique and significant cultural event celebrated annually in Nagaland. It is named after the Indian Hornbill, a bird frequently featured in the folklore of most of the state's indigenous tribes. The festival aims to revive, protect, preserve, and promote the richness of the Naga heritage and traditions.
In a partnership business, if the time period for which the capital is invested is the same for all partners, then the profit is divided among the partners in the ratio of their investments. We will first find the ratio of the capitals invested by A and B, and then distribute the total profit according to this ratio to find A's share.
Identify the capitals invested:
Determine the ratio of their investments:
The ratio of investments of A to B is:
\[ C_A : C_B = 6000 : 8000 \]\[ C_A : C_B = 6 : 8 \]\[ C_A : C_B = 3 : 4 \]Calculate the sum of the ratios:
Sum of the ratio parts = \(3 + 4 = 7\)
Identify the total profit:
Total profit = ₹5,600
Calculate A's share of the profit:
A's share is the total profit multiplied by A's ratio part divided by the sum of the ratio parts.
\[ \text{A's Share} = \frac{\text{A's Ratio Part}}{\text{Sum of Ratio Parts}} \times \text{Total Profit} \]\[ \text{A's Share} = \frac{3}{7} \times 5600 \]\[ \text{A's Share} = 3 \times \frac{5600}{7} \]\[ \text{A's Share} = 3 \times 800 \]\[ \text{A's Share} = 2400 \]Thus, A's share of the profit is ₹2,400.
D) 2,400 is the correct share for A, calculated based on the ratio of their investments.
If \( \frac{3x}{2y} \) = \( \frac{48}{72} \) then \( \frac{x}{y} \) in its lowest term is:
\( \frac{4}{9} \)
\( \frac{5}{9} \)
\( \frac{3}{9} \)
\( \frac{2}{9} \)
The problem asks us to find the ratio \( \frac{x}{y} \) in its lowest terms, given an equation involving \( \frac{3x}{2y} \) and a numerical fraction. We will first simplify the numerical fraction and then isolate \( \frac{x}{y} \) by performing algebraic operations.
We are given the equation:
\[ \frac{3x}{2y} = \frac{48}{72} \]First, simplify the fraction \( \frac{48}{72} \) to its lowest terms. We can find the greatest common divisor (GCD) of 48 and 72.
So, the equation becomes:
\[ \frac{3x}{2y} = \frac{2}{3} \]To find \( \frac{x}{y} \), we need to multiply both sides of the equation by \( \frac{2}{3} \) (the reciprocal of \( \frac{3}{2} \) which is the coefficient of \( \frac{x}{y} \) on the left side).
\[ \frac{3x}{2y} \times \frac{2}{3} = \frac{2}{3} \times \frac{2}{3} \]On the left side, the 3s and 2s cancel out, leaving \( \frac{x}{y} \):
\[ \frac{x}{y} = \frac{2 \times 2}{3 \times 3} \]Perform the multiplication on the right side:
\[ \frac{x}{y} = \frac{4}{9} \]The fraction \( \frac{4}{9} \) is in its lowest terms because the greatest common divisor of 4 and 9 is 1.
Correct Option: A) \( \frac{4}{9} \)
The ratio \( \frac{x}{y} \) in its lowest terms is \( \frac{4}{9} \).
The question asks to identify the Mughal Emperor who founded the Red Fort of Agra. This requires knowledge of Mughal architecture and history, specifically the patrons of major historical monuments.
Correct Option: D) Akbar was the Mughal emperor who founded and began the construction of the Red Fort of Agra in 1565.
This is a coding-decoding problem where words are represented by codes. We need to find the code for the word 'It' by comparing the given statements and identifying common codes for common words.
Correct Option: B) TUO — By comparing the given coded statements, we deduce that 'GJL' stands for 'is' and 'CBM' stands for 'car'. In the first statement, 'GJL TUO CBM' stands for 'It is car'. After removing the codes for 'is' and 'car', 'TUO' is left, which must stand for 'It'.
The question asks to identify the type of number that has exactly two factors: 1 and itself. This is a fundamental definition in number theory.
Correct Option: B) prime
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.