For the following questions answer them individually
If $$a^{2} + b^{2} + \frac{1}{a^{2}} +\frac{1}{b^{2}}= 4$$, $$a\neq0, b\neq0$$, then the value of $$a^{4} + b^{4}$$ is:
A die is thrown 1,000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 a nd 6 as given in the following table. How many times is the number appearing on the die greater than or equal to 5?
A group of 36 students has an average present age of 14 years. When the age of the teacher is included, the average age rises by one. Calculate the teacher's age (in years).
If ABC is a triangle in which DE ‖ BC and AD ∶ DB = 9 ∶ 8, then DE : BC is _________.
Manoj and his wife Swathi fill a tank with water fetched from a well. Manoj fetches 5 litres of water in 4 minutes whereas Swathi fetches 4 litres of water in 5 minutes. Find the time taken by them together to fetch 205 litres of water.
Who among the following has been conferred the prestigious title of ‘Maestro’ by London’s Royal Philharmonic Orchestra, with whom he had been the only Asian to have composed a full symphony as on 6th March 2022?
Which of the following is the first city in history to host the Paralympic Games for a second time?
In January 2022, in which city an initiative - Deaddiction, Reformation and Entrepreneurial Assistance for Making a Safe Society (Dreams) was launched to rehabilitate drug addicts?