Four numbers are in the ratio 1 : 2 : 3 : 5. Two times their sum is 44. Find the ratio in the numbers obtained by subtracting 3 from the cube of each number.
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 5 : 61 : 213 : 997.
Given that
Four numbers are in the ratio 1 : 2 : 3 : 5.
Let the numbers be x, 2x, 3x, 5x
According to the question;
⇒ 2(x + 2x + 3x + 5x) = 44
⇒ 11x = 22
⇒ x = 2
Now, the numbers are = 2, 4, 6, 10
Hence, the required ratio = (23 - 3) : (43 - 3) : (63 - 3) : (103 - 3) = 5 : 61 : 213 : 997