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NEET 2020

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Question : If $x+\frac{1}{x}=7$, find the value of $x^3+\frac{1}{x^3}$.

Option 1: 343

Option 2: 322

Option 3: 340

Option 4: 332

Team Careers360 13th Jan, 2024

Correct Answer: 322


Solution : $x+\frac{1}{x}=7$
Squaring on both sides,
⇒ $(x+\frac{1}{x})^2=7^2$
⇒ $x^2+\frac{1}{x^2}+2=49$
⇒ $x^2+\frac{1}{x^2}=47$
Now, $x^3+\frac{1}{x^3} = (x+\frac{1}{x})(x^2+\frac{1}{x^2}-(x×\frac{1}{x}))$
= 7 × (47 – 1)
= 322
Hence, the correct answer is 322.

10 Views

Question : Mrinalini Vikram Sarabhai, the Bharatanatyam legend, was also recognised for which of the following dance forms?

Option 1: Kathak

Option 2: Kathakali

Option 3: Kuchipudi

Option 4: Odissi

Team Careers360 13th Jan, 2024

Correct Answer: Kathakali


Solution : The correct option is Kathakali.

Mrinalini Vikram Sarabhai was a renowned Indian classical dancer, choreographer, and cultural icon. She made significant contributions to the field of dance and was a pioneer in promoting Indian classical dance forms. She received her training in the classical dance form of Bharatanatyam from the legendary Guru Meenakshi Sundaram Pillai. She co-founded the Darpana Academy of Performing Arts in Ahmedabad, Gujarat, with her husband, Vikram Sarabhai. She received awards like Padma Bhushan.

11 Views

Question : Directions: In the following question, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
ABCDE, BDAEC, DEBCA, ?

Option 1: EACDB

Option 2: ECADB

Option 3: EDCAB

Option 4: ECDAB

Team Careers360 23rd Jan, 2024

Correct Answer: ECDAB


Solution : Given:
ABCDE, BDAEC, DEBCA, ?

The letters are changing their position in the following manner –

So, the next term is ECDAB. Hence, the fourth option is correct.

29 Views

Question : Doongri festival of Himachal Pradesh is primarily celebrated by which religious community?

Option 1: Buddhist

Option 2: Sikh

Option 3: Muslim

Option 4: Hindu

Team Careers360 11th Jan, 2024

Correct Answer: Hindu


Solution : The correct answer is Hindu.

One of the Himachal Pradesh festivals, known as Doongri, is celebrated in Kullu on Basant Panchami. This festival is distinguished by the numerous folk dances and artistic performances, including vibrant kites and flower arrangements. Every year, it is observed from May 14 to May 16.

9 Views

Question : The train ticket fare from places A to B in 2nd class AC and 3rd class AC is Rs. 2,500 and Rs. 2,000, respectively. If the fares of 2nd class AC and 3rd class AC are increased by 20% and 10%, respectively, then find the ratio of the new fares of 2nd class AC and 3rd class AC.

Option 1: 15 : 11

Option 2: 12 : 11

Option 3: 13 : 11

Option 4: 15 : 13

Team Careers360 20th Jan, 2024

Correct Answer: 15 : 11


Solution : The new fare for the 2nd class AC after a 20% increase would be = 1.20 × 2500 = Rs. 3000
The new fare for the 3rd class AC after a 10% increase would be = 1.10 × 2000 = Rs. 2200
Therefore, the ratio of the new fares of 2nd class AC to 3rd class AC = 3000 : 2200 = 30 : 22 = 15 : 11
Hence, the correct answer is 15 : 11.

14 Views

I got 37079 rank in JEE mains exam which NIT gives ma admission in computer engineering plus OBC -NCL

ayanmukherjee045 17th Sep, 2023

Hello Aspirant,

If you are aiming for computer science branch in this rank then I would like to tell you that you have a bit chances to get a non core branches only in low level NITs like Srinagar, Mizoram, Meghalaya, Agartala, Puducherry and that if you have the benefit of home state quota. This is also though  difficult to fetch.

20 Views

can i get btech biotechnology or bio engineering through mhtcet pcb score

Akansha Sharma 1st Dec, 2024

Based on your MHT CET PCB score, you may not get a seat in Biotechnology or Bioengineering through the general entrance as these courses are typically offered in institutes with higher cutoff scores for MHT CET. However, eligibility varies across different colleges, and cutoff scores can fluctuate each year. Colleges such as MIT Pune, VIT Pune, and other institutes that offer Biotechnology or related

For more details you can visit the link given below

https://engineering.careers360.com/articles/mht-cet-cutoff


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