College of Admission Tests Multan

Simple Arithmetic

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 4

Solve for x:

1024 = 4 2 x + 1

  • x = 2
  • x = 8
  • x = 5
  • x = 7

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Correct Answer: A

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Represent 1024 in exponential form using a base of 4:

4⋅4⋅4⋅4⋅4 = 1024

4 5 = 1024

Solve for x by equating exponents:

4 2 x + 1 = 4 5

2 x + 1 = 5

2 x = 4

x = 2