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Algebra - 1 - Identities || Quantitative Aptitude || CAT 2021 || 13 September
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Question 1
If a + b + c = 6 and a3 + b3 + c3 – 3abc = 162, then find the value of (ab + bc + ca).
Question 2
If x + y = 17; x3 + y3 = 1547, then the value of (x – y)2 is:
Question 3
If x = 20, y = 19, the value of 
is:
is:
Question 4
The factors of (a2 + 4b2 + 4b – 4ab – 2a – 8) are,
Question 5
If ab + bc + ca = 0, then find the value of 
:
:
Question 6
If a + b + c = 8, a3 + b3 + c3 – 3abc = 552, then what is the value of ab + bc + ca?
Question 7
If 5x + 3y = 7 and 125x3 + 27y3 = 280, then the value of the product of x and y is:
Question 8
What will be the complete factorisation of x4 + 1024:
Question 9
If a + b + c = 0, then the value of 
is:
is:
Question 10
If a2 + b2 + c2 + 84 = 4 (a-2b + 4c ), then 
is equal to:
is equal to:
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