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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? 
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. Every equilateral triangle is necessarily an isosceles triangle. II. Every right-angled triangle is necessarily an isosceles triangle. III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle. The correct statements are:
Consider the following statements :I. Every equilateral triangle is necessarily an isosceles triangle.II. Every right-angled triangle is necessarily an isosceles triangle.III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle.The correct statements are:
Given below are two statements, followed by three conclusions, I, II and III. You have to consider the statement to be true even if they to be at variance from commonly known fats. You have to decide which of the given conclusions, if any, support(s) the given statements. Statements 1: All the books written by X are textbooks. Statement 2: Some of his books are published by ABC Publishing Company. Conclusion 1: ABC Publishing Company publishes textbooks only. Conclusion II: Some textbook written by X are published by publishers other than ABC Publishing Company. Conclusion III: ABC Publishing Company publishes some critical theories written by X.
In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question.  Find the area of the Triangle ABC Statement I∶ Perimeter of the triangle is 100. Statement II∶ Sum of the largest and smallest side of the triangle is 73. Statement III∶ The triangle is an isosceles triangle.
In a triangle ABC, parallel lines are drawn to each side cutting the other two sides at the mid points. A new triangle is formed inside the original triangle. Find the ratio of the perimeter of the new triangle to perimeter of the ABC.
In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variancewith commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.  Statements: I. No red is square. II. Some square are rectangle. Ill. No rectangle is triangle.  Conclusions: I. Some triangle are red. II. Some triangle are not rectangle. Ill. No rectangle is red. 
Triangle XYZ is similar to triangle RST. Area of triangle XYZ is 2304 cm2 and area of triangle RST is 1296 cm2. If the longest side of the triangle XYZ measures 144 cm, then what will be the measure of the longest side of the triangle RST?
Road damage is often down to a few factors such as the quantity of traffic, the weight of the vehicles passing on it, and environmental conditions. XYZ town has a port, called ABC. To get to ABC, there is a road, that is divided into two lanes. One for the traffic going towards ABC port, and the other for traffic going away from ABC port. The lane of the road that leads to ABC port, has significantly less damage, than the lane that leads away from it. Which of the following helps explain this best?