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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? 
From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.
Below are given two sets, Set - I which gives modalities of operant conditioning and Set - II which provides the types of reinforcement, the types of responses (responses made or withheld) and the presence or absence of cue. Match the two sets and indicate your answer by choosing from the code : Set - I (Modalities of operant conditioning procedures) Set – II           (Conditions and contexts) (a) Reward training (i) Positive reinforcement, response made, with cue present (b) Escape training (ii) Positive reinforcement, response withheld with cue absent (c) Discriminated omission training   (iii) Positive reinforcement, response made with cue absent (d) Active avoidance   (iv) Negative reinforcement, response made with training (e) Punishment training (v) Positive reinforcement, response withheld with cue present   (vi) Negative reinforcement, response withheld with cue absent  
Determine the corrections or otherwise of the following Assertion and Reason : Assertion : For longitudinal static stability of an aircraft, slope of moment curve should be negative. Reason: Positive slope will result in more static stability than negative slope. Hence, slope should be positive always. and are true and is the correct reason for b) Both and are true but is not the correct reason for c) is true but is false d) is false but is true
Velocity of a dog is 15 units in the positive X direction and 3 units in positive Y direction starting from the origin. Velocity of a pig is 7 units in the positive Y direction and 17 units in the positive X direction starting from the origin. What is the relative velocity of the dog with respect to the pig?
A married couple adopted a male child. A few years later, twin boys were born to them. The blood group of the couple is AB positive and O negative. The blood group of the three sons is A positive, B positive, and O positive. The blood group of the adopted son is
Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) and P(2) is true; for all positive integers n, if P(n) and P(n+1) is true then P(n+2) is true.
Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) is true; for all positive integers n, if P(n) is true then P(n+2) is true.
If x - y = 8, then which of the following must be true?  1. Both x and y must be positive for any value of x and y. 2. If x is positive, y must be negative for any value of x and y. 3. If x is negative, y must be positive for any value of x and y.  Select the correct answer using the code given below. 
If x and y are negative, then which of the following statements is/are always true ? I. x + y is positive. II. xy is positive. III. x - y is positive.