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Aptitude · Q460

Algebra

Competitive Exams · Aptitude · question 460

Q460

If 9x2 + y2 = 37 and xy = 2, x, y > 0, then the value of (27x3 + y3) is:

A.
301
B.
217
Answer
C.
207
D.
259

Answer: Option B

Solution

Answer: Option B
Solution:
xy = 2
2 × 1
1 × 2
at x = 2, y = 1
9x2 + y2 = 37
9 × 4 + 1 = 37
37 = 37 it satisfy
27x3 + y3
= 27 × 23 + 13
= 27 × 8 + 1
= 217