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objective Ques (278 results)
171)

Find the value of (a — 2x)3 + (b — 2x)3 + (c — 2x)3 — 3(a — 2x)(b— 2x)(c— 2x) given that a + b + c = 6x.

SSC Selection Post Matric 2022
A)

0

B)

1

C)

2

D)

3

172)

If a : b = 7 : 4, then find (2a + 7b) : (7b — 2a).

SSC Selection Post Matric 2022
A)

5 : 2

B)

3 : 1

C)

4 : 1

D)

3 : 2

173)

If x = 3 - 4y, then \((x^3+64y^3+36xy)\) is equal to:

SSC Selection Post Matric 2022
A)

27

B)

27(1 + xy)

C)

9(3 + 5xy)

D)

27(1 + 3xy)

174)

If \({x ^ {1 \over 3}} - {y ^ {1 \over 3}} = {z ^ {1 \over 3}}\), then find the value of (x - y - z)3 - 27xyz.

SSC Selection Post Matric 2022
A)

0

B)

1

C)

-1

D)

27

175)

If \( { \sqrt{x}- {1 \over \sqrt{x}}} = \sqrt7\) , then the value of \(x^3 + {1 \over x^3}\) is:

SSC Selection Post Matric 2022
A)

679

B)

702

C)

756

D)

729

176)

If 2x2 + 5x - 1 = 0, then what is the value of  \(x^3 -\frac{1}{{8{x^3}}}\) ?

SSC Selection Post Matric 2022
A)

\(- \frac{155}{8}\)

B)

\(- \frac{125}{8}\)

C)

\(\frac{145}{4}\)

D)

\(\frac{125}{8}\)

177)

If (7x - 3)3 + (x + 2)3 + 27(2x + 5)3 = 9(7x - 3) (x + 2) (2x + 5), then (9x + 13) : (5x + 7) = ?

SSC Selection Post Matric 2022
A)

35 : 19

B)

5 : 3

C)

2 : 1

D)

11 : 6

178)

If \(x+ {1\over x}=4\), x > 0, then what is the value of \((x^4 + \frac{1}{x^2}) \div (x^2 + 8x + 1)\)?

SSC Selection Post Matric 2022
A)

\(\frac{13}{3}\)

B)

\(\frac{16}{9}\)

C)

\(\frac{8}{3}\)

D)

\(\frac{7}{6}\)

179)

 If a + b + c = 1, and a3 + b3 + c3 = 55, and ab + bc + ca = -10, then what is the value of 5abc?

SSC Selection Post Matric 2022
A)

35

B)

45

C)

40

D)

25

180)

If a + b + c = 8 and ab + bc + ca = 2, then what is the value of a3 + b3 + c- 3abc?

SSC Selection Post Matric 2022
A)

547

B)

449

C)

452

D)

464

showing 171 - 180 results of 278 results

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