SSC CGL 2022251)If x + y = 36, then find (x - 27)3 + (y - 9)3.
0
SSC CGL 2022252)If \(y + {1 \over y} = 3\)\(\), then what is the value of \({{1} \over y^3} + y^3 + 2\)?
20
SSC CGL 2022253)If \({{a^2 + b^2 + c^2 - 1024} \over ab - bc - ca} = -2\) and a + b = 5c, where c > 0, then the value of c is ________________.
8
SSC CGL 2022254)If P + Q = 6 and PQ = 4, then what is the value of P3 + Q3?
144
SSC CGL 2022255)If \(x = 2 - 2^\frac{1}{3} + 2^\frac{2}{3}\) , then find the value of x3 - 6x2 + 18x.
22
SSC CGL 2022256)If a + b + c = 5, a + b3 + c3 = 85 and abc = 25, then find the value of a2 + b2+ c2 - ab - bc - ca.
2
SSC CGL 2022257)If a = -12, b = -6 and c = 18, then what is the value of (2abc)/9
288
SSC CGL 2022258)If, \(\frac{r}{13} + \frac{13}{r} = 1\) then the value of r3 is:
-2197
SSC CGL 2022259)If \(\frac{a}{b} + \frac{b}{a}\) = -1 and a - b = 2, then the value of a3 - b3 is:
zero
SSC CGL 2022260)Which of the following statement is correct?
I. The value of 1002 - 992 + 982 -972+962-952+942-932+.......+222-212 is 4840.
II. The value of \((k^{2}+ \frac{1}{k^{2}})(k - \frac{1}{k})(k^{4} + \frac{1}{k^{4}})(k + \frac{1}{k})(k^{4} - \frac{1}{k^{4}})\) is \(k^{16}- \frac{1}{k^{16}}\).
Only I