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Question : If $x= 19$ and $y= 18$, then the value of $\frac{x^{2}+y^{2}+xy}{x^{3}-y^{3}}$ is:

Option 1: 1

Option 2: 37

Option 3: 324

Option 4: 361

Team Careers360 12th Jan, 2024

Correct Answer: 1


Solution : Given: $x = 19$ and $y= 18$
Since, $x^{3}-y^{3} = (x-y)(x^{2}+y^{2}+xy)$
$\therefore\frac{x^{2}+y^{2}+xy}{x^{3}-y^{3}}=\frac{x^{2}+y^{2}+xy}{ (x-y)(x^{2}+y^{2}+xy)}=\frac{1}{x-y}=\frac{1}{19-18}= 1$
Hence, the correct answer is 1.

4 Views

Question : Under which type of activity will you classify 'Proceeds from Sale of Goodwill while preparing a Cash Flow Statement?

Option 1: Operating activities

Option 2: Investing activities

Option 3: Financing activities

Option 4: Cash and cash equivalents

Team Careers360 20th Jan, 2024

Correct Answer: Investing activities


Solution : Answer = Investing activities

Proceeds from the sale of goodwill would be classified under investing activities when preparing the Cash Flow Statement. This is because the sale of goodwill represents a disposal of a long-term asset, which falls under the category of investing activities

4 Views

Question : What factor can significantly hinder the process of democratization in a country?  
      

Option 1: High literacy rates  
    

Option 2: Strong civil society  
    

Option 3: Authoritarian legacy  

   

Option 4: Economic prosperity

Team Careers360 20th Jan, 2024

Correct Answer: Authoritarian legacy  

   


Solution : An authoritarian legacy, where previous regimes have established strong control and limited political freedoms, can significantly hinder the process of democratization.

10 Views

Question : Which of the following laws applies to the force of attraction or repulsion between two point charges?

Option 1: Kirchhoff's Law

Option 2: Newton's Law of Universal Gravitation

Option 3: Coulomb's Law

Option 4: Newton's Laws of Motion

Team Careers360 23rd Jan, 2024

Correct Answer: Coulomb's Law


Solution : The correct answer is Coulomb's Law.

Coulomb's law states that the force of attraction or repulsion between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. This force acts along

21 Views

Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.
He was knowing her for a long time before he finally married her.

Option 1: has been knowing

Option 2: No improvement required

Option 3: had known

Option 4: had knew

Team Careers360 25th Jan, 2024

Correct Answer: had known


Solution : The third option is the correct answer.

The use of was knowing in the original sentence is grammatically incorrect. In English, the past perfect tense is appropriate for actions that occurred before another action in the past.

So, had known, is the correct past

42 Views

My school address in Jee mains registration form and class 12 boards result is different. Will I face problem in Jee advance Registration Or during counselling? Correction window has already passed.

Ishita 21st Aug, 2024

Hello Aspirant

The mismatch between your school address in the JEE Main registration form and that in your Class 12 board results will not create a big problem during JEE Advanced registration or counseling.

The school address in the JEE Main and JEE Advanced is mainly used for contact purposes.

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