Question : Directions: Two numbers are named as Number A and Number B. The sum of Number A, its square, and its cube is 399. The sum of Number B, its square, and its cube is 819. What would be the square of the number obtained by adding numbers A and B?

Option 1: 256

Option 2: 289

Option 3: 225

Option 4: 324


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 256


Solution : Given:
(I) The sum of Number A, its square, and its cube is 399
A + A 2 + A 3 = 399
7 + 49 + 343 = 399
Thus, A = 7
(II) The sum of Number B, its square, and its cube is 819
B + B 2 + B 3 = 819
9 + 81 + 729 = 819
Thus, B = 9
The square of the number obtained by adding Number A and Number B
( A + B ) 2 = ?
( 7 + 9 ) 2 = (16) 2 = 256

So, the number is 256. Hence, the first option is correct.

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