Exams › IBPS PO › Quantitative Aptitude
The sum of two numbers is equal to the sum of the square of 11 and the cube of 9. The larger number is 25 less than the square of 25. Find the sum of twice 30% of the smaller number and half of the larger number.
- 445
- 450
- 415
- 435
Correct answer: 450
Solution
The sum of the numbers is $11^2 + 9^3 = 121 + 729 = 850$. The larger number is $25^2 - 25 = 625 - 25 = 600$, so the smaller number is 250. Now, twice 30% of 250 is 150 and half of 600 is 300, giving a total of 450.
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