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objective Ques (278 results)
241)

If \(5x  - {1\over 4x}= 6\), x > 0, then find the value of \(25x^2-\frac{1}{16x^{2}}\).

SSC CGL 2022
A)

\(6 \sqrt{31}\)

B)

36

C)

\(\sqrt{246}\)

D)

\(6 \sqrt{41}\)

242)

If 4x - 3y = 12 and xy = 5, then find the value of \(\frac{{16{x^2} + 9{y^2}}}{8}\) .

SSC CGL 2022
A)

18

B)

3

C)

44

D)

33

243)

If \((a+\frac{1}{a}+3)^2 = 16\), where a is a non-zero real number, then find the value of \(a^2+{1\over a^2}\).

SSC CGL 2022
A)

47

B)

7

C)

3

D)

49

244)

If a2 + b2 = 65 and ab = 8, a > b > 0, then find the value of a2 - b2.

SSC CGL 2022
A)

65

B)

60

C)

63

D)

72

245)

If x4 - 79x2 + 1 = 0, then a value of x + x-1 can be:

SSC CGL 2022
A)

9

B)

8

C)

7

D)

5

246)

If \(x^{2} - 5x + 1 = 0\), then the value of \(\frac{x^{6}+x^{4}+x^{2}+1}{5x^{3}}=?\)

SSC CGL 2022
A)

23

B)

25

C)

30

D)

28

247)

k is a negative number, such that, k + k-1 = -2, then what is the value of \(\frac{k^2+4 k-2}{k^2+k-5}\) ?

SSC CGL 2022
A)

-7

B)

1

C)

7

D)

-1

248)

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

249)

Simplify x9 × x5 × x-4 × x0 × x-6

SSC CGL 2022
A)

x-6

B)

x-4

C)

x4

D)

x6

250)

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

showing 241 - 250 results of 278 results

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