Practice IBA Undergraduate Aptitude questions with answers and explanations.
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An exponent of 1/2 represents a square root.
Thus, 16^(1/2) = √16 = 4.
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Since 32 = 2⁵, the exponents must be equal.
Therefore, x = 5.
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The logarithm asks what power of 10 gives 1,000.
Since 10³ = 1,000, the answer is 3.
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The logarithmic equation means x = 2⁶.
Thus, x = 64.
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The common difference is 4.
Adding 4 to 19 gives 23.
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Multiply both sides by 4.
Thus, x = 7 × 4 = 28.
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Adding the equations gives 2x = 14, so x = 7.
Substituting into x + y = 10 gives y = 3.
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Substitute x = 2 to obtain 4 + 3y = 13.
Then 3y = 9, so y = 3.
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The expression is a difference of squares: x² - 3².
Thus, it factors as (x - 3)(x + 3).
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Subtract 7 from both sides of the equation.
This gives x = 19 - 7 = 12.
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Divide both sides by the coefficient 3.
Thus, x = 27 ÷ 3 = 9.
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Subtract 5 to get 2x = 12.
Dividing by 2 gives x = 6.
