The problem asks us to find which number completely divides the difference between a two-digit number 'pq' and its reverse 'qp'. We will represent the two-digit numbers algebraically and then simplify the expression to identify the common factor.
A) 9 — As shown in the step-by-step derivation, the difference \(pq - qp\) simplifies to \(9(p - q)\), which means it is always a multiple of 9. Thus, it is completely divisible by 9.
The question asks about the person who laid the foundation stone of the Golden Temple (Swarna Mandir). This is a historical fact related to Sikhism and Indian history. We need to identify the correct historical figure from the given options.
Correct Option: C) Hazrat Mian Mir ji — Hazrat Mian Mir ji was a Muslim Sufi saint who was invited by Guru Arjan Dev to lay the foundation stone of the Golden Temple in 1588. This act symbolized the temple's message of universal brotherhood and equality.
The question asks about the origin of the Swadeshi Movement in India. To answer this, we need to recall the major nationalist movements and their triggers during the early 20th century in India.
Correct Option: D) The Swadeshi Movement started in India during the anti-Bengal partition agitation. This movement was a direct and powerful response to the British government's decision to partition Bengal in 1905.
To find the median and mode of a set of numbers, we first need to understand their definitions. The median is the middle value in an ordered dataset, and the mode is the number that appears most frequently in the dataset.
Therefore, the median is 5 and the mode is 5.
A) Median = 5, Mode = 5. This matches our calculated values for both the median and the mode.
The question asks to identify the city where India's first undersea tunnel was planned to be completed by 2023. This requires knowledge of major infrastructure projects in India.
B) Mumbai is the correct answer. The first undersea tunnel in India is part of the Mumbai Coastal Road project. This tunnel, which runs under the Arabian Sea, connects Marine Drive to the Bandra-Worli Sea Link and was largely completed by 2023, with sections opening for public use.
The question asks about the geographical distribution of the Indian wild ass. This requires knowledge of the specific habitats of this endangered species within India.
Correct Option: B) The Indian wild ass is predominantly found in the Little Rann of Kutch in Gujarat, which is its last remaining natural habitat.
Which amendment converted the right to property from a fundamental right to a simple legal right under article 300A?
42nd Amendment
46th Amendment
40th Amendment
44th Amendment
The question asks about the constitutional amendment that changed the status of the Right to Property from a Fundamental Right to a legal right. This is a direct factual question related to Indian constitutional history.
D) 44 th Amendment — The 44th Amendment Act of 1978 removed the Right to Property from the list of Fundamental Rights and made it a legal right under Article 300A.
Study the diagram given below and answer the question that follows. What number of students have sketch colours, crayons as well as pencil colours?
The problem requires identifying the number of students who have all three types of colours: sketch colours, crayons, and pencil colours. This is a classic set theory problem, often visualized using a Venn diagram.
Therefore, the number of students who have sketch colours, crayons, and pencil colours is 3.
Correct Option: B) 3
The question asks to identify the country to which the Amazonia-1 satellite belongs, which was launched by ISRO in February 2021. This is a factual question related to space missions and international collaborations.
C) Brazil — Amazonia-1 is an earth observation satellite developed by Brazil's National Institute for Space Research (INPE).