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Scoring 120 marks as an SC student in exams like JEE Main may provide opportunities for admission to National Institutes of Technology (NITs), but it ultimately depends on various factors such as the difficulty level of the exam, the number of available seats, and the overall performance of other
Congratulations on clearing the UGC NET exam! To pursue a PhD in History in the USA, start by identifying universities with strong History departments. Research their specific PhD requirements, including entrance exams, research proposals, and academic qualifications. Typically, a master’s degree or its equivalent is expected, though some programs may
Transferring directly from BBA (Hons.) to a BBA LLB integrated course may not be straightforward, as these programs typically require admission at the beginning of the course. However, you can explore options like applying for a fresh admission to a BBA LLB program in the next academic year or pursuing
Question : How many spherical balls of radius 6 cm can be made by melting a hemisphere of radius 24 cm?
Option 1: 64
Option 2: 96
Option 3: 32
Option 4: 24
Correct Answer: 32
Solution : Given: A spherical ball of radius 6 cm and a hemisphere of radius 24 cm. The volume of the sphere = $\frac{4}{3}\pi r^3$ The volume of the hemisphere = $\frac{2}{3}\pi r^3$, where $r$ is the radius. Let $x$ be the spherical balls made. According to
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MBA in HR has very high scope in present and even in the future. The average starting salary of an MBA graduate in HR ranges from 4 LPA to 10 LPA; if you're doing your MBA from top colleges like IIMs, it can go as high as 35
Question : If $\frac{2+a}{a}+\frac{2+b}{b}+\frac{2+c}{c}=4$, then the value of $\frac{ab+bc+ca}{abc}$ is:
Option 1: $2$
Option 2: $1$
Option 3: $0$
Option 4: $\frac{1}{2}$
Correct Answer: $\frac{1}{2}$
Solution : Given that $\frac{2+a}{a}+\frac{2+b}{b}+\frac{2+c}{c}=4$, we can rewrite this equation as: $⇒\frac{2}{a}+1+\frac{2}{b}+1+\frac{2}{c}+1=4$ Simplifying, we get: $⇒\frac{2}{a}+\frac{2}{b}+\frac{2}{c}=1$ Multiplying through by $abc$, we get: $⇒2bc+2ac+2ab=abc$ Rearranging terms, we get: $⇒abc=2(ab+bc+ca)$ $\therefore\frac{ab+bc+ca}{abc}=\frac{1}{2}$ Hence, the correct answer is $\frac{1}{2}$.
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