The Chief Minister of Maharashtra Devendra Fadnavis has recently launched a web portal ‘Mahaswayam’ for job seekers, employers, entrepreneurs and training institutes. At ‘Mahaswayam’, job seekers will be able to register themselves, search as well as apply for jobs, inquire for training, get information on self-employment and get details of job fairs. Besides, training institutes can also register, get details on participation in the state skill development programme, get training fee receipts, and can also receive training fee through ECS. Apart from this, entrepreneurs can also post job vacancy advertisements at the portal.

The quadratic equation whose roots are reciprocal of 2x2+5x+3=0 can be obtained by replacing x by 1/x.

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

=> 3x2+5x+2=0

5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.

Let the distance traveled be x km.
Then, x/10 - x/15 = 2
3x - 2x = 60 => x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.
So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.
Required speed = 60/5 = 12 kmph.

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

The construction of the world’s largest optical telescope has started in northern Chile, which is expected to begin operating in 2024. The Extremely Large Telescope (ELT) is being built by the European Southern Observatory (ESO) and will have a main mirror that is 39m in diameter. The telescope will be positioned on top of Cerro Armazones – a 3046-metre long mountain Chile. It will tackle a wide range of scientific challenges, including probing Earth-like exoplanets for signs of life, studying the nature of dark energy and dark matter, and observing the universe’s early stages to explore humans’ origins.

The United Nations General Assembly designated 29 May as the International Day of United Nations Peacekeepers. The day has two purposes: To honour the memory of the UN peacekeepers who have lost their lives in the cause of peace. To pay tribute to all the men and women who have served and continue to serve in UN Peacekeeping operations for their high level of professionalism, dedication and courage. The theme for the 2017 International Day of UN Peacekeepers is “Investing in Peace Around the World“.

Residents of Vadodara, the 10th cleanest city in the country has created a new Guinness world record with maximum number of people sweeping the ‘floor’ (single venue). Vadodara municipal corporation commissioner Vinod Rao said around 5,058 people came together to sweep the venue – a bridge connecting Akota with Dandia bazaar – spread over one kilometre. The record was achieved by participants who swept the place in groups of 50.