SSC CHSL 2021121)If a + b = 24 and a2 + b2 = 306, where a > b, then the value of 4a - 5b is:
15
SSC CHSL 2021122)What is the coefficient of y2 in the expansion of (√2y2 - 5√3)3?
225√2
SSC CHSL 2021123)If x - y = 4 and x3 - y3 = 316, then the value of x4 + y4 is:
2482
SSC CHSL 2021124)Simplify the following expression.
(2a - b - 3c)(4a2 + b2 + 9c2 + 2ab + 6ac - 3bc)
8a3 - b3 - 27c3 - 18abc
SSC CHSL 2021125)If a + b - c = 0, then what is the value of \(\frac{(b-c)^2}{4bc}\frac{(c-a)^2}{4ca}\frac{(a+b)^2}{4ab}\)?
\(\frac{1}{64}\)
SSC CHSL 2021126)If x - y = 4 and xy = 3, then what is the value of x3 - y3?
100
SSC CHSL 2021127)If (2a + 3b) (2c - 3d) = (2a - 3b) (2c + 3d), then:
\(\frac{a}{b}=\frac{c}{d}\)
SSC CHSL 2021128)If \((x^2+{1\over49x^2})=15{5\over7}\), then what is the value of \( \left(x+\frac{1}{7x}\right)\)?
± 4
SSC CHSL 2021129)If a + b + c = 2 and ab + bc + ca = -1, then the value of a3 + b3 + c3 - 3 abc is:
14
SSC CHSL 2021130)If x4 - 12x2 + 1 = 0, then what will be the value of \(x^4+\frac{1}{x^4} \)?
142