Manchester of South India

If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is : a) 2 :3 b) 3 :4 c)3:20 d) 20 : 3 Expl : 0.4A = 0.06B -> A/B = 0.06/0.40 = 6/40 = 3/20 :. A : B = 3 : 20

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Find the number of perfect squares in the given series 2013, 2020, 2027,.

September 20, 2016

Find the number of perfect squares in the given series 2013, 2020, 2027,................, 2300 (Hint 44^2=1936) a. 1 b. 2 c. 3 d. Can’t be determined Answer: a Explanation: The given series is an AP with common difference of 7. So the terms in the above series are in the form of 2013 + 7k. We have to find the perfect squares in this format in the given series. Given that 44^2 = 1936. Shortcut: To find the next perfect square, add 45th odd number to 44^2. So 45^2 = 1936 + (2 x 45 -1) = 2025 46^2 = 2025 + (2 x 46 - 1) = 2116 47^2 = 2116 + (2 x 47 - 1) = 2209 Now subtract 2013 from the above numbers and divide by 7. Only 2209 is in the format of 2013 + 7k. One number satisfies.

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If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

June 21, 2016

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is: A. 2.870 B. 2.967 C. 3.876 D. 3.912 Answer: Option C Explanation: log5 512 = log 512 log 5 = log 29 log (10/2) = 9 log 2 log 10 - log 2 = (9 x 0.3010) 1 - 0.3010 = 2.709 0.699 = 2709 699 = 3.876

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