261)

If a - b = 8 and ab = 9, then the value of a + b is ________.

SSC CGL 2022

A)

±8

B)

±7

C)

±9

D)

±10

262)

If 2p + q = 19 and 8p³ + q³ = 361, then find the value of pq.

SSC CGL 2022

A)

58

B)

59

C)

56

D)

57

263)

Which of the following statement is correct?
I. If x = 12, y = -2 and z = -10, then x³ + y³ + z³ = 720
II. If x + y = 48 and 4xy = 128, then s the value of 4x² + 4y² is 8960

SSC CGL 2022

A)

Both I and II

B)

Only I

C)

Neither I nor II

D)

Only II

264)

A four-digit pin, say abcd, of a lock has different non-zero digits. The digits satisfy b = 2a, c = 2b, d = 2c. The pin is divisible by ________.

SSC CGL 2022

A)

2, 3, 13

B)

2, 3, 7

C)

2, 3, 5

D)

2, 3, 11

265)

Which of the following statement is correct?
I. If x = 12, y = -2 and z = -10, then x + y + z = 360.
II. If x + y = 48 and 4xy = 128, then 4x + 4y = 4480.

SSC CGL 2022

A)

Both I and II

B)

Only I

C)

Neither I nor II

D)

Only II

266)

If K +\( \frac{1}{K}\) + 2 = 0 and K < 0, then what is the value of K¹¹ +\( \frac{1}{K^4}\) ?

SSC CGL 2022

A)

-1

B)

-2

C)

0

D)

-17

267)

If \(x + \frac{{1}}{{x}}\) = 6, then find the value of\( \frac{{3x}}{{2{x^2} - 5x + 2}}\) .

SSC CGL 2022

A)

\(\frac{2}{3}\)

B)

\(\frac{3}{7}\)

C)

1

D)

0

268)

If \(m + {{1} \over (m \ - \ 2)}= 4\) then find the value of \({(m \ - \ 2)^2}\) + \({{1} \over (m \ - \ 2)^2} \) .

SSC CGL 2022

A)

0

B)

4

C)

−2

D)

2

269)

If \(5x - {{5} \over x} + 6 = 0\), then \( {x^2}+{{1} \over {x^2}}\) is:

SSC CGL 2022

A)

\({{81} \over 10}\)

B)

\({{43} \over 12}\)

C)

\({{86} \over 25}\)

D)

\({{86} \over 11}\)

270)

If a = 26 and b = 22, then the value of \({{a^3 - b^3} \over a^2 - b^2}-{{3ab} \over a \ + \ b}\) is ______.

SSC CGL 2022

A)

\({{1} \over 3}\)

B)

\({{13} \over 11}\)

C)

\({{5} \over 3}\)

D)

\({{11} \over 13}\)