Question
Consider three positive numbers that form a ratio of
2:3:4. If the sum of the squares of these numbers is 2349, what is the average of the largest and the second largest numbers?Solution
Let the three numbers be 2x, 3x and 4x, respectively. ATQ; (2x) 2 + (3x) 2 + (4x) 2 = 2349 Or, 4x2 + 9x2 + 16x2 = 2349 Or, 29x2 = 2349 Or, x2 = 81 So, x = 9 (Since, numbers are positive therefore we can discard the negative root) So, required average = {(3 x 9) + (4 x 9)} ÷ 2 = (63/2) = 31.5 Hence, option c.
Select the correct Antonym of the given word.
adversary
A person who is absolutely necessary for someone or something
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Profuse
Person who is nervous and shy
out of the four alternatives, choose the one which best expresses the meaning of the given word and indicate your correct answer.
Select the most appropriate ANTONYM of the given word.
Jovial
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