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Aptitude · Q538

Algebra

Competitive Exams · Aptitude · question 538

Q538

If a + b = 5 and ab = 3, then (a3 + b3) is equal to:

A.
70
B.
75
C.
80
Answer
D.
65

Answer: Option C

Solution

Answer: Option C
Solution:
a + b = 5, ab = 3
(a3 + b3) = (a + b)[(a + b)2 - 3ab]
= 5[52 - 3 × 3]
= 5(25 - 9)
= 80