41)

If \(\left(x+\frac{1}{x}\right)=5 \sqrt{2}\) , then what is the value of (x⁴ + x ^{- 4})?

SSC CGL 2022

A)

2452

B)

2650

C)

2542

D)

2302

42)

Simplify x⁹ × x⁵ × x^-4 × x⁰ × x^-6

SSC CGL 2022

A)

x^-6

B)

x^-4

C)

x⁴

D)

x⁶

43)

If a + b =11 and ab = 35, then what is the value of (a⁴ + b⁴)?

SSC CGL 2022

A)

124

B)

261

C)

151

D)

102

44)

If x + y = 36, then find (x - 27)³ + (y - 9)³.

SSC CGL 2022

A)

2y

B)

81

C)

1

D)

0

45)

If \(y + {1 \over y} = 3\)\(\), then what is the value of \({{1} \over y^3} + y^3 + 2\)?

SSC CGL 2022

A)

20

B)

18

C)

24

D)

29

46)

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 ________________.

SSC CGL 2022

A)

12

B)

4

C)

8

D)

5

47)

If P + Q = 6 and PQ  = 4, then what is the value of P³ + Q³?

SSC CGL 2022

A)

144

B)

64

C)

81

D)

256

48)

If \(x = 2 - 2^\frac{1}{3} + 2^\frac{2}{3}\) , then find the value of x³ - 6x² + 18x.

SSC CGL 2022

A)

45

B)

33

C)

40

D)

22

49)

If a + b + c = 5, a + b³ + c³ = 85 and abc = 25, then find the value of a² + b²+ c² - ab - bc - ca.

SSC CGL 2022

A)

6

B)

4

C)

2

D)

8

50)

If a = -12, b = -6 and c = 18, then what is the value of (2abc)/9

SSC CGL 2022

A)

-288

B)

288

C)

554

D)

144