The question asks about the number of Indian states and Union Territories (UTs) that National Highway 44 (NH-44) traverses. To answer this, one needs to recall the route of NH-44, which is the longest national highway in India, running from north to south.
Therefore, NH-44 crosses 12 Indian states and Union Territories.
B) 12 — NH-44 passes through 10 states (Himachal Pradesh, Punjab, Haryana, Uttar Pradesh, Madhya Pradesh, Maharashtra, Telangana, Andhra Pradesh, Karnataka, Tamil Nadu) and 2 Union Territories (Jammu & Kashmir, Delhi), making a total of 12.
The question asks to identify the Indian actor who was honored by the European Chambers of Commerce on May 17, 2019. This is a factual recall question related to current affairs or general knowledge about prominent personalities and international recognitions.
Correct Option: A) Anil Kapoor was honored by the European Chambers of Commerce (EuroCham) in Singapore on May 17, 2019, with the "Excellence in Cinema" award for his contributions to Indian cinema.
The question asks to identify the person who described the Rowlatt Act as "a preventive murder". This requires knowledge of the historical context surrounding the Rowlatt Act and the reactions of prominent figures to it.
D) Edwin Samuel Montagu — Edwin Samuel Montagu, the then Secretary of State for India, famously described the Rowlatt Act as "a preventive murder" due to its draconian provisions that allowed for detention without trial, which he believed would lead to severe unrest and undermine the British government's credibility.
To solve this problem, we need to first establish a relationship between A's income and B's income based on the given percentage reduction. Then, we will calculate the percentage by which B's income is more than A's income using the formula for percentage increase.
Assume B's income: Let's assume B's income to be a convenient value, say \(100\).
\[ \text{B's income} = 100 \]Calculate A's income: A's income is 60% less than that of B. This means A's income is \(100\% - 60\% = 40\%\) of B's income.
\[ \text{A's income} = 100 - (60\% \text{ of } 100) = 100 - 60 = 40 \]Find the difference in income: Now, we need to find how much more B's income is than A's income.
\[ \text{Difference} = \text{B's income} - \text{A's income} = 100 - 40 = 60 \]Calculate the percentage increase: To find by what percentage B's income is more than A's income, we use A's income as the base for comparison.
\[ \text{Percentage increase} = \left( \frac{\text{Difference}}{\text{A's income}} \right) \times 100\% \]\[ \text{Percentage increase} = \left( \frac{60}{40} \right) \times 100\% \]\[ \text{Percentage increase} = \left( \frac{3}{2} \right) \times 100\% \]\[ \text{Percentage increase} = 1.5 \times 100\% = 150\% \]B) 150% is the correct answer. B's income is 150% more than A's income.
The question asks to identify the district in Tamil Nadu from which Kamala Harris, the Vice President of the USA, has ancestral roots. This is a general knowledge question related to prominent international figures and their Indian connections.
Correct Option: A) Tiruvarur is the district in Tamil Nadu where Kamala Harris's maternal grandfather's ancestral village, Thulasendrapuram, is located. Her family's connection to this district is well-documented.
The question asks for the location of the famous hill station Kodaikanal. This requires knowledge of Indian geography, specifically the location of prominent hill stations and their associated mountain ranges.
C) Palani hills — Kodaikanal is indeed located in the Palani Hills, a range of mountains in the Western Ghats, in the state of Tamil Nadu, India. It is one of the most popular hill stations in South India.
Nagaland was declared as a separate state on ________.
1st November 1963
1st November 1964
1st December 1964
1st December 1963
The question asks for the exact date when Nagaland was declared a separate state. This is a factual question related to the history of Indian states' reorganization. Recalling key dates in Indian history is crucial for competitive exams.
Correct Option: D) 1 st December 1963. Nagaland was officially inaugurated as the 16th state of the Indian Union on December 1, 1963, by then-President Dr. Sarvepalli Radhakrishnan.
The question asks to identify the organization that launched smart garbage bins made of Stainless Steel in 2019. This is a factual recall question related to public sector undertakings and their initiatives.
Correct Option: C) Steel Authority of India Limited
In 2019, Steel Authority of India Limited (SAIL), a Maharatna PSU, launched smart garbage bins made of stainless steel. This initiative was part of its corporate social responsibility (CSR) and aligned with the government's Swachh Bharat Abhiyan. The bins were designed to be durable, corrosion-resistant, and aesthetically pleasing, suitable for public spaces.
The question asks to identify the biodiversity hotspot that is NOT present in India from the given options. This requires knowledge of the major biodiversity hotspots recognized globally and their geographical distribution, specifically in relation to India.
Correct Option: D) Wallacea is a biodiversity hotspot located in Indonesia, between the Asian and Australian continental shelves. It does not include any part of India.
Find the value of \(\frac{(p-q)^3+(q-r)^3+(r-p)^3}{9(p-q)(q-r)(r-p)}\).
\( \frac{2}{3} \)
\( \frac{1}{5} \)
\( \frac{1}{4} \)
\( \frac{1}{3} \)
This problem can be solved by recognizing a common algebraic identity. The expression in the numerator is of the form \(a^3 + b^3 + c^3\). We can use the identity that if \(a+b+c=0\), then \(a^3+b^3+c^3 = 3abc\).
\(a+b+c = (p-q) + (q-r) + (r-p)\)
\(a+b+c = p-q+q-r+r-p\)
\(a+b+c = (p-p) + (-q+q) + (-r+r)\)
\(a+b+c = 0+0+0\)
\(a+b+c = 0\)
Substitute the values of \(a\), \(b\), and \(c\) back into the identity:
\((p-q)^3+(q-r)^3+(r-p)^3 = 3(p-q)(q-r)(r-p)\)
The given expression is:
\[ \frac{(p-q)^3+(q-r)^3+(r-p)^3}{9(p-q)(q-r)(r-p)} \]Replace the numerator with \(3(p-q)(q-r)(r-p)\):\[ \frac{3(p-q)(q-r)(r-p)}{9(p-q)(q-r)(r-p)} \]The value of the expression is \( \frac{1}{3} \).
D) \( \frac{1}{3} \) is the correct answer, as derived from applying the algebraic identity.