Surds and Indices Questions and Answers for SSC and Bank Exams

Surds and Indices and Questions:

Q.25. If 5^(x+3) = (25)^(3x-4), then the value of x is

(A) 

(B) 

(C) 

(D) 

Q.26. The largest number from among , and  is :

(A) 

(B) 

(C) 

(D) All are equal 

Q.27. By how much does √12 + √18 exceed √3 + √2?

(A) 2(√3-√2)

(B) 2(√3+√2)

(C) 2(√3+2√2)

(D) 2(√3-2√2)

Q.28. The value of  $$\sqrt {5+2\sqrt { 6} \  } \ - {1\over\sqrt {5+2\sqrt { 6} \  }} is: $$

(A) 2√2

(B) 2√3

(C) 1+√5

(D) √5-1

Q.29. The value of (243)^0.16 × (243)^0.04 is equal to: 

(A) 0.16

(B)  3

(C) 1/3

(D) 0.04

Q.30. The value of (256)^0.16 × (256)^0.04 is equal to: 

(A) 256.25

(B) 64

(C) 16

(D) 4

Q.31. The simplification of  $${0.06×0.06×0.06-0.05×0.05×0.05\over0.06×0.06+0.06×0.05+0.05×0.05}$$

(A) 1

(B) 0.1

(C) 0.01

(D) 0.001

Q.32. Simplify: $${0.05×0.05×0.05-0.04×0.04×0.04\over0.05×0.05+0.002+0.04×0.04}$$

(A) 1

(B) 0.1

(C) 0.01

(D) 0.001

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