Question 51
If set A = {1, 2, 3, 4} and set B = {3, 4, 5, 6}, what is A ∩ B?Sets and logicSets and logiceasy
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Question 52
Using mathematical induction, prove that the sum of the first n natural numbers is (n(n+1))/2. What is the base case?Mathematical inductionMathematical inductioneasy
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Question 53
Simplify the expression (x^3)^4.IndicesIndiceseasy
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Question 54
Express the surd √50 in simplest form.SurdsSurdseasy
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Question 55
If log₃(27) = x, what is the value of x?LogarithmsLogarithmseasy
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Question 56
Solve for x: 2x + 3 = 11.Algebraic expressions and equationsAlgebraic expressions and equationseasy
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Question 57
Find the roots of the quadratic equation x^2 - 5x + 6 = 0.Quadratic equations and inequalitiesQuadratic equations and inequalitieseasy
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Question 58
What is the 5th term of the arithmetic progression 3, 7, 11, 15, ...?Progressions: arithmetic and geometricProgressionseasy
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Question 59
Calculate the determinant of the matrix [[2,3],[1,4]].Matrices and determinantsMatrices and determinantseasy
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Question 60
Find the vector sum of u = (2, 3) and v = (-1, 4).Vectors in 2D and 3DVectorseasy
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