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.
During the winters the polar bear goes without food by nearly five to six months.
A formal expression of disapproval
"It's not a good idea to kick the can down the road and let the next generation solve the global warming problem."
Charley Horse
In each question below, a sentence is given with an idiom/phrase printed in bold type. That part may contain a grammatical error. Each sentence is follo...
The robber murdered the woman in cold blood for the sake of the jewels.
Select the most appropriate meaning of the given idiom.
leave no stone unturned
In each of the following questions, an idiomatic expression/a proverb has been underlined – followed by four alternatives. Choose the one which best ...
The heating system is the bane of my life as it always keeps breaking down.
"The report had more holes than Swiss cheese , making it difficult to trust the conclusions drawn from it."
Relevant for Exams:
