91)

If a² + 4b² + 25c² + 18 = 2 (a - 2b + 20c), then what is the value  of (a + 2b + 5c) ?

SSC CHSL 2021

A)

6

B)

5

C)

3

D)

4

92)

If x + y + z = 4, xy + yz + zx = 1 and x³ + y³ + z³ = 34 , then what is the value of 2xyz ?

SSC CHSL 2021

A)

8

B)

-12

C)

-6

D)

18

93)

If \(x+{1\over x}=7\), then \(x^3 + \dfrac{1}{x^3}\) is equal to:

SSC CHSL 2021

A)

340

B)

161

C)

343

D)

322

94)

If x² + y² = 45 and x - y = 5 then what is the value of x³ - y³?

SSC CHSL 2021

A)

-25

B)

250

C)

150

D)

275

95)

If a³ + b³ + c³ - 3abc = 250 and a + b + c = 10, then what will be the value of \(\frac{1}{5}(ab+bc+ca)\) ?

SSC CHSL 2021

A)

5

B)

25

C)

15

D)

10

96)

If x + y + z = 3, x² + y² + z² = 45 and x³ + y³ + z³ = 69 then what is the value of xyz?

SSC CHSL 2021

A)

30

B)

40

C)

-30

D)

-40

97)

If 4√3x² + 5x -2√3 = (Ax + 2)(Bx + C). then what is the value of (A + B + C)?(A>0)

SSC CHSL 2021

A)

4

B)

4 + √3

C)

4 - √3

D)

2√3

98)

If \(x+{1\over x}= \sqrt7\), then what is the value of \((x^2 + 1)\div\left[x^4+\left(\frac{1}{x^2}\right)\right]\)?

SSC CHSL 2021

A)

\(\frac{1}{4}\)

B)

2√7

C)

\(\frac{1}{2}\)

D)

3√7

99)

If \(x - y ={7\over4}\) and \(\frac{1}{x}-\frac{1}{y}=\frac{14}{3}\), then x³ - y³ is equal to:

SSC CHSL 2021

A)

\(\frac{433}{32}\)

B)

\(\frac{433}{64}\)

C)

\(\frac{217}{64}\)

D)

\(\frac{217}{32}\)

100)

If a⁴ + b⁴ + a²b² = 133 and a² + b² - ab = 19, then the value of ab will be:

SSC CHSL 2021

A)

-9

B)

-6

C)

12

D)

15