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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 : 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.

11 Views

Question : Which of the following statements about fundamental rights mentioned in the Indian Constitution is false?

Option 1: They provide necessary conditions for moral protection.

Option 2: They lay down the foundation for social justice.

Option 3: They provide necessary conditions for material protection.

Option 4: They provide the necessary conditions for practicing untouchability.

Team Careers360 7th Jan, 2024

Correct Answer: They provide the necessary conditions for practicing untouchability.


Solution : The correct answer is They provide the necessary conditions for practising untouchability.

Fundamental rights are mentioned in Part 3 of the constitution, and Articles 12 to 35 deal with the fundamental rights and their protection. There are

16 Views

can I fill form in tgt (math ) while my subject in bed is physics and english

Ishita 31st Jul, 2024

Hello Aspirant

No, you cannot fill form for TGT (Math) while your subjects in BEd were Physics and English. TGT (Math) or a TGT in any subject specifically requires a strong foundation in that particular subject Having Physics and English as your BED subjects doesn't align with the necessary qualification.

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.

25 Views

is manipal university jaipur good for BBA

Yash 19th Oct, 2024

Manipal University Jaipur offers BBA (Hons), BBA Analytics, BBA (Hospitality and Tourism Operations) and, Online BBA programmes. These programmes teach the fundamental aspects of business and management, offering a comprehensive education to all students. The programme is designed to groom students by nurturing key competencies of the business world. The

86 Views

sir , iam a keralate , what is the group code for medical counceling for me ? 1001 is not supporting ? pls help me

Harshini 16th Jun, 2019

Hey aspirant,

Please ask your question clearly, what's groupcode.

you have tagged us anna university & medical.

Anna university is an engineering college & doesnot offer any seats for medical.

For any doubts regarding the above please comment us below so that we could help you.


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