If  $$\frac{2^{x^2}\times 8^2}{8^{2x}}=\frac{1}{8}\,$$​, then the value of  $$2^{(x^2-2x+1)}$$​ is equal to:

Arrange the following in the decreasing order:
A. LCM of 10, 20, 10

B. LCM of 25/3, 40/9, 50/6

C. HCF of 600, 150, 675

D. LCM of 4, 6, 9

E. HCF of 0.5, 1.5, 3.5
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Match the LIST-I with LIST-II
If a = (√5 − 2)/(√5 + 2), then match the following:

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If  $$\frac{2^{x^2}\times 8^2}{8^{2x}}=\frac{1}{8}\,$$​, then the value of  $$2^{(x^2-2x+1)}$$​ is equal to:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II
If p and q satisfy 3^p + 3^q = 36 and 2 × 3^p + 3 × 3^q = 99, then match the following:

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If a and b are the minimum and maximum values of x satisfying 5 + $$12/{(x + 1/x)}$$​ = 10, select the correct statements from the following:
A. 5a + 5b = 12

B. 0 < (b − a) < 1/2

C. a < 0 < b

D. a < 1 < b

E. (b − a)² + 6/25 = 2
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