Answer: B) 2k1k2/k1+k2 Explanation: We know that,   The equivalent K =  L1 + L2L1K1+L2K2   where L1 & L2 are plate1 & Plate2 thicknesses, K1 & K2 are coefficient thermal conductivity of plate1 & Plate2 respectively.   But here L1 = L2 = L (say)   Then K = L+L/(L/K1 + L/K2)  =  2K1K2K1+K2

The development in arts and letters known as the Renaissance(rebirth) was a revived interest in classical learning and culture in the 1300's and the 1400's in Italy, but later spread to other parts of Europe. The Renaissance involved new thought because it was a secular movement. During the feudal period, the Catholic Church was the center of learning; in fact, the medieval scholar had been concerned with the harnessing of reason in the defense and service of religion. But, with the end of feudalism and increased trading outside of Europe, new ideas emerged and the Renaissance scholar became more concerned with the secular side of things. Furthermore, poets and philosophers concerned themselves with the natural world, rather than theology. One reason for the scholarship in Italy is the fact that Greek scholars emigrated to Italy after the invasion of the Ottoman Turks who captured Constantinople. These scholars brought with them classical texts and manuscripts, which helped to revive interest in classical learning and arts. Along with the Greek scholars, Italian scholar Petrarch is felt to be a major impetus to the rebirth of culture and learning. Having a passionate interest in the rediscovery of lost Roman manuscripts and a strong belief in the power of ancient thought to civilize, his ideas certainly complemented those who valued classical learning.

Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450     = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1     ∵ tan(90-θ)=cotθ and tan 450=1     = log 1 + log 1 +.....+log 1    = 0.

Answer: B) 20% Explanation: Let the Cost of Production of the article = 100 Then, Labour Cost = 20 Raw Material = 10 Other Expenditure = 100 - 10 – 20 = 70 Selling Price of the article  = 120 After increasing Labour and Raw material cost by 40% & 20% respectively, New Labour cost = 28 New Raw material cost = 12 New Cost of Production = 70 + 28 + 12 = 110 Then, New SP = 110% of 120 = 120 x 110/100 = 132 => New Gain = 132 - 110 = 22 => New Profit % = 22 x 100/110 = 20%

Answer: C) 91.5 Explanation: We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)(60 x 30 x 8)/ 150 = (35 x D2 x 6) / 200 D2 = (60 x 30 x 8 x 200) / (150 x 35 x 6) => D2 = 91.42 days =~ 91.5 days.

Answer: A) Jeff Bezos Explanation: Jeff Bezos is the richest person in modern history. The Amazon.com Inc. founder’s net worth broke $150 billion in New York on 16th July 2018 morning, according to the Bloomberg Billionaires Index.       That’s about $55 billion more than Microsoft Corp. co-founder Bill Gates, the world’s second-richest person.

Answer: A) 18 years Explanation: At the time of marriage, let Sudeer's age be 4x, then Swetha's age is 3x12 years after:Age of Sudeer = 4x+12Age of Swetha = 3x+12Now the equation is 3x+12=5/6(4x+12)Solving equation we get x=6Hence Swetha got married at the age of 18.

Answer: A) West Bangal Explanation: BidhanNagar in Kolkata, West Bangal is popularly known as Salt Lake City.