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Surds and Indices Aptitude Test Paper 3


11) If 2x=3y=6-z, then Aptitude Surds and Indices is equal to

  1. 0
  2. 1
  3. Aptitude Surds and Indices
  4. -  Aptitude Surds and Indices

Answer: A

Explanation:

Given: 2x=3y=6-z
Let 2x=3y=6-z=k (say)
Then 2 = k1/x , 3 = k1/y , 6 = k-1/z
2 x 3 = 6
k1/x x k1/y = k-1/z ( from above equation)
Aptitude Surds and Indices

Equating the powers of above equation because the base is same
Aptitude Surds and Indices


12) Aptitude Surds and Indices

  1. 3
  2. Aptitude Surds and Indices
  3. x+x-1
  4. 2(x+x-1)

Answer: C

Explanation:

Given: Aptitude Surds and Indices

Then p3-3p

Putting the value of 'p' in above equation

Aptitude Surds and Indices

By applying (a+b)3 = a3 + b3 + 3ab(a+b)

Aptitude Surds and Indices


13) Aptitude Surds and Indices

  1. 0
  2. 2
  3. 1
  4. -2

Answer: C

Explanation:

Given: Aptitude Surds and Indices

Aptitude Surds and Indices

Then,

a = km, b = kn, c = kp

abc = 1 (given)

km. kn. kp = k0

km+n+P = k0

m+n+P = 1

Since the base are same

So, m+n+P = 0


14) Aptitude Surds and Indices

  1. 2
  2. 3
  3. 4
  4. 5

Answer: D

Explanation:

Aptitude Surds and Indices

By equating the power

5 + 8 = 2x +3
2x = 13 - 3 = 10
X = 10/2 = 5


15) If 2x-1+2x+1=320,then x is equal to

  1. 6
  2. 8
  3. 5
  4. 7

Answer: D

Explanation:

Aptitude Surds and Indices

By equating the powers

x-6 = 1
x = 1+6 = 7



Surds and Indices Test Paper 1
Surds and Indices Test Paper 2
Surds and Indices Test Paper 4
Surds and Indices Concepts





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