To solve this direction and distance problem, we will trace Veronica's path step-by-step, noting her direction and the distance covered. We can visualize her movement on a coordinate plane or by drawing a simple diagram. Finally, we will determine the direction and distance required to return to the starting point.
Therefore, she should turn left and walk 10 m to reach the starting point.
C) Left, 10 m
The question asks for the state/UT where the first Khelo India National Ranking Women Archery competition was held in April 2022. This is a factual question related to sports events in India.
D) Jharkhand
The first Khelo India National Ranking Women Archery tournament was organized by the Archery Association of India (AAI) in association with the Jharkhand Archery Association and Seraikella-Kharsawan District Administration. It was held at the Tata Archery Academy in Jamshedpur, Jharkhand, in April 2022.
To answer this question, we need to understand the fundamental chemical properties of metals, specifically their tendency to gain or lose electrons and how this relates to their electropositive nature.
Electropositivity is the tendency of an element to lose electrons and form positive ions (cations). Metals typically have few valence electrons (1, 2, or 3) and a relatively large atomic size, which means their outermost electrons are not strongly held by the nucleus. This makes it easier for them to lose these electrons.
For example, sodium (Na) has 1 valence electron and readily loses it to form a positive ion:
\[ \text{Na} \rightarrow \text{Na}^+ + \text{e}^- \]Therefore, Statement I is correct.
When metals participate in chemical bonding, especially with non-metals (to form ionic bonds), they achieve a stable electron configuration (like that of a noble gas) by losing their valence electrons. This loss of electrons results in the formation of positively charged ions (cations).
For instance, in the formation of sodium chloride (NaCl), sodium (a metal) loses an electron to chlorine (a non-metal):
\[ \text{Na} + \text{Cl} \rightarrow \text{Na}^+ + \text{Cl}^- \rightarrow \text{NaCl} \]Therefore, Statement II is correct.
Statement I says metals are electropositive. Statement II explains why they are electropositive: because they tend to lose electrons. The tendency to lose electrons is precisely what defines electropositivity. Thus, Statement II provides a correct explanation for Statement I.
Correct Option: B) Both statements are correct. Statement II is correct explanation of Statement I.
The question asks to identify the permanent contraceptive method among the given options. We need to evaluate each option based on its duration and reversibility.
Correct Option: D) Surgical methods are permanent contraceptive methods. Vasectomy in males involves cutting or tying the vas deferens, while tubectomy in females involves cutting or tying the fallopian tubes. Both procedures prevent the passage of gametes, thus permanently preventing conception.
Simplify: 2((\( \frac{3}{2} \))x² − 24x + 12) − 3(x² + 4x − 13).
To simplify the given algebraic expression, we will first distribute the constants into their respective parentheses. Then, we will combine like terms (terms with the same variable and exponent) to arrive at the simplified form.
A) \(-60x + 63\) is the correct simplified expression after performing the distribution and combining like terms.
We are given the ratio of two numbers, their LCM, and their HCF. We need to find the greater of the two numbers. We will use the fundamental property that for any two positive integers, the product of the numbers is equal to the product of their LCM and HCF.
Let the two numbers be \(A\) and \(B\). Given that their ratio is 3 : 2, we can write them as:
\[ A = 3x \]\[ B = 2x \]where \(x\) is a common factor.
We are given that the LCM of the two numbers is 24 and the HCF is 4.
A key property of numbers states that the product of two numbers is equal to the product of their LCM and HCF:
\[ A \times B = \text{LCM}(A, B) \times \text{HCF}(A, B) \]Substitute the expressions for \(A\), \(B\), LCM, and HCF into the formula:
\[ (3x) \times (2x) = 24 \times 4 \]Simplify the equation:
\[ 6x^2 = 96 \]Solve for \(x^2\):
\[ x^2 = \frac{96}{6} \]\[ x^2 = 16 \]Solve for \(x\):
\[ x = \sqrt{16} \]\[ x = 4 \](Since the numbers are positive, we take the positive root).
Now, find the two numbers using the value of \(x\):
\[ A = 3x = 3 \times 4 = 12 \]\[ B = 2x = 2 \times 4 = 8 \]The two numbers are 12 and 8. The greater of the two numbers is 12.
B) The greater of the two numbers is 12.
The question asks about the range of Articles in the Indian Constitution that describe Fundamental Rights. To answer this, one needs to recall the specific Part of the Constitution dealing with Fundamental Rights and its corresponding Article numbers.
Correct Option: D) Article 35. Fundamental Rights are enshrined in Part III of the Indian Constitution, spanning from Article 12 to Article 35.
The question asks to identify the world's second longest glacier located outside the polar region, specifically mentioning Nubra Valley. This requires knowledge of major glaciers and their geographical locations and rankings.
Correct Option: B) Siachen. The Siachen Glacier, located in the eastern Karakoram range in the Himalayas, is approximately 76 km long. It is widely recognized as the world's second-longest glacier outside the polar regions (the longest being the Fedchenko Glacier in Tajikistan). It is situated in the Nubra Valley region.
The question asks to identify the Hindu deity associated with creation. This requires knowledge of the primary roles of the major gods in the Hindu pantheon, particularly the Trimurti.
Correct Option: C) Brahma is considered the creator god in Hinduism. He is part of the Trimurti, the trinity of supreme divinity that includes Vishnu (the preserver) and Shiva (the destroyer).
The question asks to identify the state or Union Territory in India where the Indira Gandhi Canal is located. This requires knowledge of major geographical features and infrastructure projects in India.
B) Rajasthan — The Indira Gandhi Canal is a major irrigation project that primarily serves the state of Rajasthan, particularly its western desert regions, transforming vast arid lands into fertile agricultural areas.