MCQs
1. The logarithms having base '10' are called? Common logarithms / స్వచ్ఛమైన సంవర్గమానాలు 2. The centroid of a triangle is (2,3) and two of its vertices are (5,6) and (-1,4) then the third vertex of the triangle is⁉
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1. Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ? A) 32 days B) 28 days C) 29 days D) 30 days 2. If a + b + c = 9 and a b + b c + c a = 2 6 , then find a 2 + b 2 + c 2 ? A.26 B.27 C.28 D.29 Correct option is D) Given, a + b + c = 9 and a b + b c + c a = 2 6 . We know, ( a + b + c ) 2 = a 2 + b 2 + c 2 + 2 a b + 2 b c + 2 c a ⇒ ( a + b + c ) 2 = a 2 + b 2 + c 2 + 2 ( a b + b c + c a ) . Putting the values here, we get, ( 9 ) 2 = a 2 + b 2 + c 2 + 2 ( 2 6 ) ⇒ 8 1 = a 2 + b 2 + c 2 + 5 2 ⇒ a 2 + b 2 + c 2 = 8 1 − 5 2 = 2 9 . Hence, option D is correct. A candle of 6 cm long burns at the rate of 5 cm in 5 hour and an another candle 8 cm long burns at the rate of 6 cm in 4h. What is the time re...