The question asks to identify the first Indian woman president of the Indian National Congress. This requires knowledge of key figures in Indian history and their roles within the Indian National Congress.
Correct Option: A) Sarojini Naidu was the first Indian woman to be elected as the President of the Indian National Congress. She held this position at the Kanpur session in 1925.
The question asks for the year when the first Lokpal Bill was introduced in the Indian Parliament. This is a factual question related to the history of anti-corruption legislation in India. Recalling key historical legislative milestones is crucial for such questions.
Correct Option: C) 1968. The first Lokpal Bill was introduced in the Lok Sabha in 1968.
We are given the current age ratio of A and B, and their age ratio after 5 years. We can set up equations based on these ratios and solve for their current ages. Once we have their current ages, we can find the difference.
Correct Option: D) 6
The question asks for the birthplace of Lord Mahavira. This is a direct factual question related to ancient Indian history and the origins of Jainism. Recalling the key historical facts about Lord Mahavira's life will lead to the correct answer.
Correct Option: A) Vaishali is correctly identified as the region where Lord Mahavira was born (specifically, Kundalagrama near Vaishali).
The question asks to identify which component in polluted air causes Hay fever. Hay fever is an allergic reaction, and we need to identify the allergen among the given options.
C) Pollen — Pollen is a well-known allergen that causes Hay fever (allergic rhinitis). It is released by trees, grasses, and weeds, especially during certain seasons, and when inhaled by sensitive individuals, it triggers an allergic immune response.
The question asks to identify the part of the Indian Constitution where the Directive Principles of State Policy (DPSP) are mentioned. This requires knowledge of the structure and contents of the Indian Constitution.
Correct Option: B) Part 4
What form of art is used to decorate the floor in front of the house?
The question asks to identify the art form used for decorating the floor in front of a house. This is a common cultural practice in India, and recognizing the specific art form is key.
Correct Option: D) Rangoli is a traditional Indian art form where patterns are created on the floor, often at the entrance of homes, using materials like colored powders, rice flour, or flower petals. It is done to welcome deities and guests, especially during festivals.
Count the number of triangles in the given figure
To determine the number of triangles in the given figure, we need to systematically count all possible triangles formed by the intersections of lines within the larger triangle.
Correct Option: A) 16
Find the HCF of \( \frac{2}{9} \), \( \frac{16}{81} \), \( \frac{32}{117} \) and \( \frac{54}{189} \).
\( \frac{8}{8483} \)
\( \frac{4}{1899} \)
\( \frac{2}{7371} \)
\( \frac{4}{6459} \)
To find the HCF (Highest Common Factor) of fractions, we use the formula:
\[ \text{HCF of fractions} = \frac{\text{HCF of numerators}}{\text{LCM of denominators}} \]First, we need to simplify all the given fractions to their lowest terms. Then, we find the HCF of the numerators and the LCM of the denominators.
The given fractions are \( \frac{2}{9} \), \( \frac{16}{81} \), \( \frac{32}{117} \), and \( \frac{54}{189} \).
The simplified fractions are \( \frac{2}{9} \), \( \frac{16}{81} \), \( \frac{32}{117} \), and \( \frac{2}{7} \).
The numerators are 2, 16, 32, and 2.
Prime factorization:
\( 2 = 2^1 \)
\( 16 = 2^4 \)
\( 32 = 2^5 \)
The HCF is the product of the lowest powers of common prime factors. The only common prime factor is 2, and its lowest power is \( 2^1 \).
Therefore, HCF of numerators = 2.
The denominators are 9, 81, 117, and 7.
Prime factorization:
\( 9 = 3^2 \)
\( 81 = 3^4 \)
\( 117 = 3^2 \times 13 \)
\( 7 = 7^1 \)
The LCM is the product of the highest powers of all prime factors involved.
Highest power of 3 is \( 3^4 \).
Highest power of 7 is \( 7^1 \).
Highest power of 13 is \( 13^1 \).
LCM of denominators = \( 3^4 \times 7 \times 13 = 81 \times 7 \times 13 = 567 \times 13 = 7371 \).
Using the formula:
\[ \text{HCF of fractions} = \frac{\text{HCF of numerators}}{\text{LCM of denominators}} = \frac{2}{7371} \]Correct Option: C) \( \frac{2}{7371} \)
The question asks to identify Asia's first stock exchange. This requires knowledge of the history and establishment dates of major stock exchanges in Asia.
Correct Option: B) Bombay Stock Exchange
The Bombay Stock Exchange (BSE) was established in 1875, making it the oldest stock exchange in Asia. It is also one of the oldest in the world.