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Algebra -6- identities || Quantitative Aptitude || CAT 2021 || 08 May
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Question 1
If a + b + c = 9, a3 + b3 + c3 – 3abc = 1026, then what is the value of ab + bc + ca?
Question 2
If a + b + c = 17 and a2 + b2 + c2 = 127, then what is the value of a3 + b3 + c3 – 3abc ?
Question 3
If xy = 96 and x2 + y2 = 208, then the value of (x + y) is:
Question 4
If x2 + 4y2 = 17 and xy = 2, where x > 0, y > 0, then what is the value of x3 + 8y3?
Question 5
If x – y = 7, then the value of x3 – y3 – 343 is:
Question 6
If a4 + 1/a4 = 50, a > 0, then find the value of a3 + 1/a3.
Question 7
If a = 33, b = 34 and c = 35 then what is the value of a2 + b2 + c2 − ab − bc − ca ?
Question 8
If a = (3 + 2√2)1/3 , then find the value of: a3 − 1/a3
Question 9
If a2 + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20 then the value of 
:
:Question 10
If a – b = 6 and a3 – b3 = 297, then find the value of a2 – b2.
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