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For realizing a binary half-subtractor having two inputs A and B, the current set of logical expression for the outputs D (A minus B) and X (borrow) are 1. The difference output D = A̅B + AB̅ 2. The borrow output B = AB̅ Which of the above statements is/are correct? 
ABCD is a trapezium, AB is parallel to CD and CD is parallel to EF and AD and BC are non-parallel sides where AD = BC, then which statements (s) is/are correct? A) If E and F are midpoints of side AD and BC respectively, then the length of EF is half of the sum of parallel sides. B) If E and F are not midpoints of sides AD and BC, then EF = (AE × DC + FC × AB)/AD C) If E and F are midpoints of sides AD and BC respectively, then (ar ABFE) : (ar DCFE) = (3AB + DC) : (3DC + AB) 
In an equilateral triangle, another equilateral triangle is drawn inside joining the mid-points of the sides of the given equilateral triangle and the process continues uptofive times. What is the ratio of the area of fourth triangle to that of sixth triangle? (Original triangle is counted as 1st triangle)
Consider the following statements :I. Three sides of a triangle are equal to three sides of another triangle, then the triangles are congruent.II. If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent.Of these statements :
The sides of a triangle are in the ratio of 7 : 9 : 12. The difference between the length of largest and smaller sides is 15 c.m. The length of the largest sides would be = ?
The following questions are accompanied by three statements (I), (II) and (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. Perpendicular and base of a right-angle triangle are 5x and 12x respectively. Find the area of right-angled triangle. I. Perimeter of the right-angle triangle is p cm.  II. Length of the diagonal side is d cm. III. Area of another triangle similar to given triangle is 300 cm2.
The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Perpendicular and base of a right-angle triangle are 5x and 12x respectively. Find the area of right-angled triangle. I. Perimeter of the right-angle triangle is p cm.  II. Length of the diagonal side is d cm. III. Area of another triangle similar to the given triangle is 300 cm2.
From a rectangular sheet of paper of length 24 cm and breadth 18 cm, a triangle is cut in such a way that one of the lengthier sides becomes the base of the triangle and the vertex of the triangle lies 3 cm below the opposite lengthier side of the rectangle, then what is the area of the triangle?
What is the function Y = A + B̅C in Product-of-Sums (POS) form? 
Consider the following statements: (1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides (2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 Which of the above statements is/are correct?