The question asks to identify the term for factors that make a person's place of origin unattractive, leading them to consider moving elsewhere. These factors are typically associated with migration studies.
C) push — Push factors are conditions that make a person's place of origin undesirable or unsustainable, thereby compelling them to leave. The examples provided (unemployment, poor living conditions, unpleasant climate) are classic examples of push factors.
The question asks to identify the Chairman of ISRO during India's first lunar probe mission, Chandrayaan-1, which was launched in October 2008. This requires knowledge of the history of ISRO chairpersons and significant space missions.
Correct Option: C) G Madhavan Nair was the Chairman of ISRO from September 2003 to October 2009. India's first lunar probe mission, Chandrayaan-1, was launched on October 22, 2008, during his tenure.
When was National Rural Health Mission launched?
15th August 2005
12th April 2005
30th December 2003
1st January 2000
The question asks for the launch date of the National Rural Health Mission (NRHM). This requires recalling a specific historical fact related to government health initiatives in India.
B) 12 th April 2005 — The National Rural Health Mission (NRHM) was indeed launched on April 12, 2005, by the then Prime Minister of India, Dr. Manmohan Singh. It was a major initiative under the Ministry of Health and Family Welfare.
The question asks about the ingredient responsible for the "fizz" in soft drinks. This fizz is due to the release of a gas when the drink is opened. We need to identify which of the given acids is used to generate this gas.
B) Carbonic acid is formed when carbon dioxide gas is dissolved in water under pressure, which is the basis of carbonated soft drinks. The release of this dissolved \(\text{CO}_2\) (which is in equilibrium with carbonic acid) upon opening the container causes the fizz.
Which of the following Venn diagrams best represents the relationship between Doctors, Engineers and Lawyers.
To determine the correct Venn diagram representing the relationship between Doctors, Engineers, and Lawyers, we need to consider whether these professions overlap or are distinct categories.
Correct Option: C) Option 2 correctly represents the relationship as three distinct circles.
This is a logical reasoning question where we need to determine which conclusion(s) logically follow from the given statement. We must assume the statement to be true and not bring in outside knowledge unless it's a direct and undeniable consequence of the statement.
C) Only II follows. This is correct because driving on the wrong side directly contradicts traffic flow and safety norms, inevitably leading to a higher probability of collisions and accidents.
If a : b = \(\sqrt{7}\) : \(\sqrt{3}\), then the value of (3a + 2b) : (3a − 2b) is equal to:
\(\frac{2+\sqrt{21}}{2-\sqrt{21}}\)
\(\frac{2+\sqrt{21}}{-2+\sqrt{21}}\)
\(\frac{2+\sqrt{21}}{-2-\sqrt{21}}\)
\(\frac{2-\sqrt{21}}{2+\sqrt{21}}\)
The problem asks us to find the ratio \((3a + 2b) : (3a - 2b)\) given the ratio \(a : b = \sqrt{7} : \sqrt{3}\). We can solve this by first expressing \(a\) in terms of \(b\) (or vice versa) from the given ratio, and then substituting these values into the expression we need to evaluate. Alternatively, we can divide the numerator and denominator of the target ratio by \(b\) to get an expression in terms of \(\frac{a}{b}\), which is directly given.
Understand the given ratio:
We are given that \(a : b = \sqrt{7} : \sqrt{3}\). This can be written as a fraction:
\[ \frac{a}{b} = \frac{\sqrt{7}}{\sqrt{3}} \]Express the target ratio in terms of \(\frac{a}{b}\):
We need to find the value of \((3a + 2b) : (3a - 2b)\). This can be written as:
\[ \frac{3a + 2b}{3a - 2b} \]To use the given ratio \(\frac{a}{b}\), we can divide both the numerator and the denominator by \(b\) (assuming \(b \neq 0\)):
\[ \frac{\frac{3a}{b} + \frac{2b}{b}}{\frac{3a}{b} - \frac{2b}{b}} = \frac{3\left(\frac{a}{b}\right) + 2}{3\left(\frac{a}{b}\right) - 2} \]Substitute the value of \(\frac{a}{b}\):
Now, substitute \[\frac{a}{b} = \frac{\sqrt{7}}{\sqrt{3}}\] into the expression:
\[ \frac{3\left(\frac{\sqrt{7}}{\sqrt{3}}\right) + 2}{3\left(\frac{\sqrt{7}}{\sqrt{3}}\right) - 2} = \frac{\frac{3\sqrt{7}}{\sqrt{3}} + 2}{\frac{3\sqrt{7}}{\sqrt{3}} - 2} \]To simplify \(\frac{3\sqrt{7}}{\sqrt{3}}\), we can rationalize the denominator or notice that \(3 = \sqrt{3} \times \sqrt{3}\):
\[ \frac{3\sqrt{7}}{\sqrt{3}} = \frac{\sqrt{3} \times \sqrt{3} \times \sqrt{7}}{\sqrt{3}} = \sqrt{3} \times \sqrt{7} = \sqrt{21} \]So, the expression becomes:
\[ \frac{\sqrt{21} + 2}{\sqrt{21} - 2} \]Rationalize the denominator (optional, but often required for standard form):
Multiply the numerator and denominator by the conjugate of the denominator, which is \(\sqrt{21} + 2\):
\[ \frac{(\sqrt{21} + 2)(\sqrt{21} + 2)}{(\sqrt{21} - 2)(\sqrt{21} + 2)} \]Using the algebraic identities \((x+y)^2 = x^2 + 2xy + y^2\) and \((x-y)(x+y) = x^2 - y^2\):
Numerator: \((\sqrt{21} + 2)^2 = (\sqrt{21})^2 + 2(\sqrt{21})(2) + 2^2 = 21 + 4\sqrt{21} + 4 = 25 + 4\sqrt{21}\)
Denominator: \((\sqrt{21})^2 - 2^2 = 21 - 4 = 17\)
So the expression is \(\frac{25 + 4\sqrt{21}}{17}\). However, looking at the options, the form \(\frac{2+\sqrt{21}}{-2+\sqrt{21}}\) is presented. Let's re-examine our result \(\frac{2+\sqrt{21}}{\sqrt{21}-2}\).
The option B is \(\frac{2+\sqrt{21}}{-2+\sqrt{21}}\). This is exactly our result \(\frac{2+\sqrt{21}}{\sqrt{21}-2}\).
Study the following Venn diagram and find the region representing persons who are writers, singers and dancers, but not actors. 
To solve this problem, we need to identify the region in the Venn diagram that includes individuals who are writers, singers, and dancers, but excludes actors.
Correct Option: D) j
This problem involves analyzing statements and conclusions based on principles of logical reasoning, specifically syllogisms. We need to determine which conclusion(s) logically follow from the given statements, assuming the statements are true.
C) Only conclusion 1 is true.
The question asks us to identify the relationship between the first pair of terms and apply the same relationship to the second pair. The first pair is "Assam : Tezpur". We need to determine what Tezpur represents in relation to Assam and then find a city that holds a similar relationship to Kerala.
Correct Option: C) Kochi is a major city and an important urban center in the state of Kerala, similar to how Tezpur is a significant city in Assam.