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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 $\frac{1}{2}$.
Question : Select the most appropriate option to fill in the blank. I lost my purse ____________between my house and the metro station.
Option 1: there
Option 2: Somewhere
Option 3: anywhere
Option 4: wherever
Correct Answer: Somewhere
Solution : The second option is the correct choice.
Yes, a medical student (MD/MS) or someone pursuing residency can appear for the UPSC exam. There are no restrictions on educational background for UPSC aspirants. Most government medical colleges in India require students to sign a service bond after completing their MD/MS or residency. This bond typically mandates serving in
Question : How many independent princely states were integrated into India after independence?
Option 1: 575
Option 2: 545
Option 3: 535
Option 4: 562
Correct Answer: 562
Solution : The correct option is 562.
The 562 independent princely states were integrated into India after independence. The leaders of these princely republics were persuaded to join India by Sardar Vallabhbhai Patel, the country's deputy Prime Minister and Home Minister.
Yes, as a Telangana student studying in RGUKT, Andhra Pradesh, if you get a rank below 10,000 in TS EAMCET, you are eligible to apply for scholarships and fee reimbursement. Telangana provides fee reimbursement for students with a rank below 10,000, provided they have studied in government colleges or government-sponsored
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