Let the required number be 'N'

given that its quarter i.e; N/4 exceeds its double i.e, 2N by 7

=> N/4 + 7 = 2N

=> N + 28 = 8N

7N = 28

N = 4.

The three state-run Oil Marketing Companies (OMCs) – Indian Oil Corporation (IOC), Hindustan Petroleum Corp Ltd (HPCL) and Bharat Petroleum Corp Ltd (BPCL) have signed an agreement to jointly set up the world’s largest refinery and petrochemical complex at Ratnagiri district of Maharashtra at a cost of $40 billion. The IOC will hold 50% stake and HPCL & BPCL will will take 25% stake each in the new complex. The refinery will produce petrol, diesel, LPG, ATF and feedstock for making petrochemical that are basic building blocks in plastic, chemical and textile industries. The refinery is expected to be completed by 2022.

$$\begin{gathered} [(K-L)2-K+L2]4K = ab \\ K2+L2-2KL-K2+L2+2KL4K= ab \end{gathered}$$

=> - 4KL/4K = a/b

=> L = - a/b

=> bL = -a

'Extensively' is describing the verb 'flew' and should be placed after the verb and thus the correct phrase should be 'extensively over'. The error is in the second part of the sentence.

These two events cannot be disjoint because P(K) + P(L) > 1.

P(AꓴB) = P(A) + P(B) - P(AꓵB).

An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4

And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

India’s first-ever Rural LED Street Lighting Project will be implemented by the Government of India (GoI) in Andhra Pradesh (AP). The Energy Efficiency Services Limited (EESL) under the Ministry of Power will retrofit10 lakh conventional street lights with LED lights in Gram Panchayats of 7 districts in AP. This is the first project for rural LED street lighting in the country under the GoI’s Street Lighting National Project (SLNP). In the first phase, the replacement will be undertaken in gram panchayats of the districts of Guntur, Prakasham, Nellore, Kurnool, Kadapa, Ananthapur and Chittoor. This replacement drive in rural areas will help the gram panchayats to cumulatively save approximately 147 million units of electricity annually and lead to reduction of 12 crore tonnes of CO2. The entire upfront capital cost of this project is being funded by French Development Agency Agence Française de Développement (AFD).

The TATA Projects has launched unique “Green Thumb” initiative in India to promote green cover and to protect the environment on 2017 World Environment Day (WED). The Green Thumb 2017 is in continuation to 2016 TATA Projects’ programme wherein it aimed to get 10,000 people to click (pledge) to plant a sapling on their behalf – the response received was a tremendous 23,000. Encouraged by the response, TATA Projects planted a total of over 42,000 saplings across the country in over 100 locations in the last one year (2016-17). This year, under Green Thumb initiative, the company will plants trees, citizens who wish to do their bit to save the environment, can express their support for the cause. They can do so by clicking on the banner to plant a sapling on the Green Thumb.