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msc radiology which college admission opene

Sajal Trivedi 18th Jan, 2024

Hello aspirant,

The final session results and the JEE Main 2024 cutoff will be made available on jeemain.nta.nic.in by NTA. To estimate their estimated qualifying marks for JEE Main 2024, candidates can consult the JEE Main cutoff from the previous year. The minimum score needed in JEE Mains to be

10 Views

in Rockland school when opening admission

Tanya Gupta 18th Jan, 2024

Hello,

School admissions generally start around the beginning of the calendar year that is in the months of January and February. However, the exact dates may vary as the school may change it according to their preference. So It's advisable that you should connect with the school through call or

81 Views

is there entrance exam for Bsc. Nautical science admission

Tanya Gupta 16th Jan, 2024

Hello,

The eligibility criteria for BSc Nautical Science is that the candidates must have passed 10+2 from the Science stream with Physics, Chemistry, Mathematics, and English as mandatory subjects. Candidates must have completed their 10+2 with at least 60% aggregate marks.

All candidates applying for B.Sc Nautical Science Course also

16 Views

Question : Which of the following deserts has the highest gold deposits ?

Option 1: Kyzyl-Kum Desert

Option 2: Gobi Desert

Option 3: Mojave desert

Option 4: Tanami desert

Team Careers360 20th Jan, 2024

Correct Answer: Kyzyl-Kum Desert


Solution : The correct option is - Kyzyl-Kum Desert.

The largest gold deposit is in KyzylKum. Uzbekistan's Kyzylkum Desert is located southeast of the Aral Sea and spans an area of around 115,000 square miles (300,000 square kilometers). It is situated between the Syr and Amu

11 Views

Question : What is the value of $\left(k-\frac{1}{k}\right)\left(k^2+\frac{1}{k^2}\right)\left(k^4+\frac{1}{k^4}\right)\left(k^8+\frac{1}{k^8}\right)\left(k^{16}+\frac{1}{k^{16}}\right) ?$

Option 1: $k^{64}-\frac{1}{k^{64}}$

Option 2: $\frac{k^{32}-\frac{1}{k^{32}}}{k-\frac{1}{k}}$

Option 3: $k^{32}-\frac{1}{k^{32}}$

Option 4: $\frac{k^{32}-\frac{1}{k^{32}}}{k+\frac{1}{k}}$

Team Careers360 20th Jan, 2024

Correct Answer: $\frac{k^{32}-\frac{1}{k^{32}}}{k+\frac{1}{k}}$


Solution : Consider, $\left(k-\frac{1}{k}\right)\left(k^2+\frac{1}{k^2}\right)\left(k^4+\frac{1}{k^4}\right)\left(k^8+\frac{1}{k^8}\right)\left(k^{16}+\frac{1}{k^{16}}\right)$
Multiplying and dividing by $(k+\frac{1}{k})$
⇒ $\left(k-\frac{1}{k}\right)\left(k^2+\frac{1}{k^2}\right)\left(k^4+\frac{1}{k^4}\right)\left(k^8+\frac{1}{k^8}\right)\left(k^{16}+\frac{1}{k^{16}}\right)=\frac{(k-\frac{1}{k})(k+\frac{1}{k})(k^2+\frac{1}{k^2})(k^4+\frac{1}{k^4})(k^8+\frac{1}{k^8})(k^{16}+\frac{1}{k^{16}})}{k+\frac{1}{k}}$
Now using, $(a+b)(a-b)=a^2 - b^2$
⇒ $\left(k-\frac{1}{k}\right)\left(k^2+\frac{1}{k^2}\right)\left(k^4+\frac{1}{k^4}\right)\left(k^8+\frac{1}{k^8}\right)\left(k^{16}+\frac{1}{k^{16}}\right)=\frac{(k^2-\frac{1}{k^2})(k^2+\frac{1}{k^2})(k^4+\frac{1}{k^4})(k^8+\frac{1}{k^8})(k^{16}+\frac{1}{k^{16}})}{k+\frac{1}{k}}$
$=\frac{(k^4-\frac{1}{k^4})(k^4+\frac{1}{k^4})(k^8+\frac{1}{k^8})(k^{16}+\frac{1}{k^{16}})}{k+\frac{1}{k}}$
$=\frac{(k^8-\frac{1}{k^8})(k^8+\frac{1}{k^8})(k^{16} + \frac{1}{k^{16}})}{k+\frac{1}{k}}$
$=\frac{(k^{16} - \frac{1}{k^{16}})(k^{16} + \frac{1}{k^{16}})}{k+\frac{1}{k}}$
$=\frac{k^{32} - \frac{1}{k^{32}}}{k+\frac{1}{k}}$
Hence, the correct answer is $\frac{k^{32} - \frac{1}{k^{32}}}{k+\frac{1}{k}}$.

16 Views

can i get an admission in indian institute of mass communication after graduating from ycmou open University

Lovely Yadav 4th Nov, 2024

HELLO SHAILASH!

Yes, definitely you can get admission in Indian Institute of Mass Communication after graduating from YCMOU open university.

You have to clear CUET exam for being eligible in Institute of Mass Communication as these institute offers seat to students in the basis of score of CUET and personal

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