The question asks to identify a term specifically associated with Hockey. We need to evaluate each option and determine its relevance to the sport of Hockey.
Based on this analysis, "Faceoff" is the term most directly and uniquely associated with Hockey among the given options.
Correct Option: A) Faceoff is a method of starting play in ice hockey and field hockey where two opposing players vie for control of the puck/ball after it is dropped or placed by an official.
The question asks to identify the Prime Minister who did not serve as a Chief Minister before assuming the top office. We need to recall the political careers of the given options.
Based on this analysis, Indira Gandhi is the only one among the given options who did not serve as a Chief Minister before becoming Prime Minister.
Correct Option: C) Indira Gandhi did not serve as a Chief Minister before becoming the Prime Minister of India. She was a Union Minister (Minister of Information and Broadcasting) before taking the top office.
The question asks to identify the country that ranked first in the 'World Happiness Index' for 2015, as published by the Sustainable Development Solutions Network (SDSN). This requires knowledge of specific rankings from that particular year's report.
Correct Option: B) Switzerland
The question asks about the completion of Mecca Masjid in Hyderabad. This requires knowledge of the history of the Qutb Shahi dynasty and the Mughal Empire's involvement in the Deccan region.
Correct Option: D) Aurangzeb completed the Mecca Masjid after conquering the Qutb Shahi kingdom.
If A+B=90° and cosB=\( \frac{1}{3} \); then the value of sinA is:
\( \frac{1}{2} \)
\( \frac{1}{4} \)
\( \frac{1}{3} \)
\( \frac{2}{3} \)
The problem involves trigonometric identities. We are given the sum of two angles \(A\) and \(B\) and the cosine of angle \(B\). We need to find the sine of angle \(A\). The key is to use the complementary angle identity: if \(A+B=90^\circ\), then \(\sin A = \cos B\).
We are given the condition that \(A+B=90^\circ\).
This condition implies that angles \(A\) and \(B\) are complementary angles. For complementary angles, there is a fundamental trigonometric identity:
\[ \sin A = \cos (90^\circ - A) \]and also
\[ \cos A = \sin (90^\circ - A) \]From the given condition \(A+B=90^\circ\), we can write \(A = 90^\circ - B\).
Now, substitute this into the expression we need to find, which is \(\sin A\):
\[ \sin A = \sin (90^\circ - B) \]Using the complementary angle identity \(\sin (90^\circ - B) = \cos B\), we get:
\[ \sin A = \cos B \]We are given that \(\cos B = \frac{1}{3}\).
Therefore, substituting the given value:
\[ \sin A = \frac{1}{3} \]C) \( \frac{1}{3} \) — Based on the complementary angle identity, if \(A+B=90^\circ\), then \(\sin A = \cos B\). Since \(\cos B = \frac{1}{3}\), it follows that \(\sin A = \frac{1}{3}\).
The question asks to identify the largest network in terms of area among the given options. This requires understanding the scope and geographical coverage of different types of computer networks.
Comparing these, the Internet clearly has the largest geographical coverage, being a global network.
D) Internet — The Internet is a global network of interconnected computer networks, spanning the entire world. It is by far the largest network in terms of geographical area, connecting billions of devices and users across continents.
The question asks to identify the most intelligent mammals among the given options. This requires knowledge of animal intelligence and comparative biology.
Correct Option: A) Dolphins are widely considered to be among the most intelligent mammals, exhibiting complex cognitive abilities, social structures, and communication.
Coins : Numismatist
Stamps : Phillumenist
Books : Bibliophile
Post cards : Deltiologist
The question asks to identify the odd one out from four pairs of words. Each pair consists of an object and the name of a collector or enthusiast of that object. We need to check the accuracy of each pair and find the one that does not follow the established pattern.
Based on the analysis, Option B is the one that does not follow the pattern of correctly associating an object with its collector/enthusiast.
Correct Option: B) Stamps : Phillumenist
The problem asks us to find the value of \(x\) given the equation \(x^2 = 25^2 - 15^2\). We can solve this by first calculating the squares of 25 and 15, then performing the subtraction, and finally taking the square root to find \(x\). Alternatively, we can use the algebraic identity \(a^2 - b^2 = (a - b)(a + b)\) to simplify the calculation.
We are given the equation:
\[ x^{2} = 25^{2} - 15^{2} \]Calculate the squares of 25 and 15:
\[ 25^2 = 25 \times 25 = 625 \]\[ 15^2 = 15 \times 15 = 225 \]Substitute these values back into the equation:
\[ x^2 = 625 - 225 \]\[ x^2 = 400 \]Take the square root of both sides to find \(x\):
\[ x = \sqrt{400} \]\[ x = 20 \]Recall the algebraic identity: \(a^2 - b^2 = (a - b)(a + b)\).
Apply this identity to the right side of the equation, where \(a = 25\) and \(b = 15\):
\[ x^2 = (25 - 15)(25 + 15) \]Perform the subtraction and addition:
\[ x^2 = (10)(40) \]Multiply the terms:
\[ x^2 = 400 \]Take the square root of both sides to find \(x\):
\[ x = \sqrt{400} \]\[ x = 20 \]C) 20 — Both methods yield \(x = 20\). This is the correct value for \(x\).
__________ enacted during an emergency imposed by Mrs. Indira Gandhi, is also known as mini constitution because of important & large number of changes made to it.
42nd Amendment Act
44th Amendment Act
74th Amendment Act
73rd Amendment Act
The question asks to identify the Constitutional Amendment Act that is often referred to as a "mini-constitution" due to its extensive changes, enacted during the Emergency period under Mrs. Indira Gandhi's prime ministership. This requires knowledge of significant amendments to the Indian Constitution and their historical context.
A) 42nd Amendment Act
The 42nd Amendment Act, enacted in 1976 during the National Emergency imposed by Mrs. Indira Gandhi, made such comprehensive and fundamental changes to the Indian Constitution that it is widely known as the "mini-constitution". It altered the Preamble, added new Directive Principles, curtailed the power of the judiciary, and shifted more power towards the Parliament, among many other provisions.