The third edition of the Atal Ranking of Institutions on Innovation Achievements (ARIIA) 2021 was released. The ARIIA rankings is an initiative of the Union education ministry to promote innovation, assess technical universities and colleges on parameters ranging from support for entrepreneurship development to innovative learning methods, intellectual property generation, technology transfer, and commercialisation among other aspects. Top Ranked Institutes: The Indian Institute of Technology (IIT) Madras bagged the top position among the centrally funded technical institutes in the Centre’s ranking. IIT Madras was recognised as the most innovative technical institute for the third consecutive year. IIT-Madras is followed by IIT Bombay, IIT Delhi, IIT Kanpur and IIT Roorkee.
There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly.
Quantity I – The probability of their bein...
If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?
...If x + y + z = 19, xyz = 216 and xy + yz + 2x = 114, then the value of √ x3 + y3 + z3 + xyz is :
Quantity I – In how many ways letters of MOBILE can be arranged when vowels are always together.
Quantity II – In how many ways l...
If a + b + c = 0 then the value of (1/(a+b)(b+c)) + (1/(b+c)(c+a)) + (1/(c+a)(a+b)) is
10 women and 12 men complete a certain piece of work in 30 days, if each women takes thrice the time taken by a man to finish the work.
Quantity...
If (a2 − b2)sin θ + 2ab cos θ = a2 + b2, then tan θ =
If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ − y cos θ = 0, then the value of x2 + y2 equals
If a + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20, then the value of (a+b+c)/(x+y+z)
If x + y + z = 0, then what is the value of (3y2 + x2 + z2)/(2y2 – xz)?
