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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: $\frac{1}{2}$

Team Careers360 25th Jan, 2024

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 $\frac{1}{2}$.

36 Views

Question : Statement 1: If a good is a luxury, its demand is generally elastic.

Statement 2: Luxury goods tend to have more substitutes, making consumers more responsive to changes in price.

Option 1: Both statements are true.

Option 2: Both statements are false.

Option 3: Statement 1 is true, and statement 2 is false.

Option 4: Statement 1 is false, and statement 2 is true.

Team Careers360 15th Jan, 2024

Correct Answer: Both statements are true.


Solution : The correct answer is (A) Both statements are true.

Statement 1: If a good is a luxury, its demand is generally elastic. This statement is true. Luxury goods are often associated with higher income levels and are considered non-essential or discretionary purchases.

58 Views

Which subject has better between msc biochemistry and msc bioinformatics?

Tanya Gupta 19th Jan, 2024

Hello,


Both MSc Biochemistry and MSc Bioinformatics have their own unique advantages and scope in their respective fields. It ultimately depends on your interests and career goals. MSc Biochemistry focuses on the study of chemical processes in living organisms, while MSc Bioinformatics combines biology, computer science, and statistics to analyze

95 Views

After MSc bioinformatics PhD Biotech possible

shivamtrivedi0005 11th Sep, 2023

Hello aspirant,

You can pursue a Ph.D. in biotechnology after earning an M.Sc. in bioinformatics, yes. The Ph.D. program in biotechnology can be completed in three to six years. The candidates' master's degree grades must range from 50 to 56 percent. Admission is typically determined by an entrance exam. The

52 Views

i want to become a subject matter expert...in statistics/economics / bioinformatics/in computer science.... I am currently working as an editor and a writer....what i need to pursue to become a subject matter expert??

Ashish Ramtari 4th Sep, 2022

Mentioned below are the points for becoming a Subject Matter Expert:

  1. First of all you must have knowledge of Statistics, bioinformatics Computer Science or desired subject in which you want to become subject Matter Expert.
  2. Try to search for opportunities online. Most of the companies are hiring subject Matter Expert
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