21)

If (7x + 3)³ + (x - 2)³ + 27(2x - 5)³ = 9(7x + 3) × (x - 2) × (2x - 5) then the value of 5x + 3 is:

SSC CHSL 2021

A)

2

B)

10

C)

6

D)

8

22)

If x + y = 5  and x² + y² = 17 then the value of \((x-y)^2\) is equal to:

SSC CHSL 2021

A)

9

B)

16

C)

4

D)

25

23)

If (3p - 5m) = 5 and pm = 6, then what is the value of (9p² - 25 m²)?

SSC CHSL 2021

A)

30 √10

B)

5 √385

C)

±30√10

D)

±5√385

24)

If \(x-{1\over2x}=4\), then the value of \(\rm8x^3 - \frac{1}{x^3}\) will be :

SSC CHSL 2021

A)

560

B)

480

C)

540

D)

520

25)

If 8a³ + b³ = 16 and 2a + b = 4, then find the value of 16a⁴ + b⁴.

SSC CHSL 2021

A)

28

B)

36

C)

38

D)

32

26)

If \(x^4+{16\over x^4}=27217\), x > 0, then the value of \(\rm x + \frac{2}{x}\) is:

SSC CHSL 2021

A)

13

B)

17

C)

15

D)

11

27)

If \((x+{2\over x})=7\), then what is the value of \(( 2x^2 + \frac{8}{x^2} )\) ?

SSC CHSL 2021

A)

44

B)

90

C)

94

D)

50

28)

If \(({x\over y}+1)=4\), then what is the value of \(( \frac{x^2 + y^2}{y^2})\) ?

SSC CHSL 2021

A)

14

B)

22

C)

10

D)

12

29)

If \(x-3={1\over2x}\), then what is the value of \(( x^4 + \frac{1}{16x^4})\) ?

SSC CHSL 2021

A)

\(99 \frac{1}{2}\)

B)

10

C)

11

D)

98

30)

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