151)

If 3x + 5y = 14 and xy = 6, then what is the value of 9x² + 25y² ?

SSC CHSL 2021

A)

20

B)

14

C)

182

D)

16

152)

If a² + b² + c² + 48 = 8(a + b + c), then what is the value of \(\sqrt[3]{a^3-b^3+c^3} \)?

SSC CHSL 2021

A)

3

B)

4

C)

2

D)

6

153)

If x⁴ + x^-4 = 47, x > 0, then the value of (2x - 3)² is:

SSC CHSL 2021

A)

7

B)

5

C)

3

D)

9

154)

If a - b = 7 and a² + b² = 169 where a, b > 0, then the value of 3a + b is:

SSC CHSL 2021

A)

41

B)

46

C)

44

D)

38

155)

x, y are two positive numbers such that x > y. If x⁴ + y⁴ = 706 and xy = 15, then the value of 2x + 3y is:

SSC CHSL 2021

A)

19

B)

20

C)

15

D)

18

156)

If \(a-{24\over a}=5\), where a > 0, then the value of \(a^2+\frac{64}{a^2} \) is:

SSC CHSL 2021

A)

45

B)

60

C)

56

D)

65

157)

If x = 555, y = 556 and z = 557, then find the value of x³ + y³ + z³ – 3xyz.

SSC CHSL 2021

A)

5008

B)

5006

C)

5002

D)

5004

158)

If 3a - b = 1 and ab = 4, then the value of (9a² - b²) is:

SSC CHSL 2021

A)

7

B)

6

C)

8

D)

5

159)

If a + 5b = 25 and ab = 20, then one of the values of (a - 5b) is:

SSC CHSL 2021

A)

14

B)

15

C)

13

D)

16

160)

If \(\sqrt x+{1\over\sqrt x}=2\sqrt3\), then what will be the value of \(x^4+\frac{1}{x^4}\) ?

SSC CHSL 2021

A)

10402

B)

9606

C)

10406

D)

9602