SSC CGL 2022231)If a2 + b2 + 49c2 + 18 = 2(b + 28c - a), then the value of (2a - b + 7c) is:
1
SSC CGL 2022232)If x2 - 5x - 1 = 0, what is the value of
\( \frac{{{x^6} - {x^4} + {x^2} - 1}}{{{x^3}}}\) ?
135
SSC CGL 2022233)If a + b + c = 11 and ab + bc + ca = 28, then find the value of a3 + b3 + c3 - 3abc.
407
SSC CGL 2022234)If (x + y)3 - (x - y)3 - 3y(2x2 - 3y2) = ky3, then find the value of k.
11
SSC CGL 2022235)If \(x^2+\frac{1}{x^2}=18, x>0\) then find the value of \(x^3+\frac{1}{x^3}\),
\(34 \sqrt{5}\)
SSC CGL 2022236)If\( \sqrt{x}-{1 \over \sqrt{x}} = \sqrt{5}\) , x ≠ 0, then what is the value of \((x^4+{1\over{x^2}})\over(x^2+1)\)?
46
SSC CGL 2022237)If 6√ 6 p3 +2√ 2 q3 = (√ 6p + √ 2q)(Sp2 + Mq2 - Npq), then the positive value of \(\sqrt{S^2+M^2+2N^2}\) is:
8
SSC CGL 2022238)If 5√3 + √75 = 17.32, then the value of 14√3 + √108 is:
34.64
SSC CGL 2022239)If (4a - 3b) = 1, ab = \(\frac{1}{2}\) , where a > 0 and b > 0, what is the value of (64a3 + 27b3)?
35
SSC CGL 2022240)If a + b + c = 6, a2 + b2 + c2 = 32, and a3 + b3 + c3 = 189, then the value of 4abc is:
12