Given the declarations boolean b; short x1 = 100, x2 = 200, x3 = 300; Which of the following statements are evaluated to true? (A) b = x1 * 2 == x2; (B) b = x1 + x2 != 3 * x1; (C) b = (x3 - 2*x2<0) || ((x3 = 400)<2**x2); (D) b = (x3 - 2*x2>0) || ((x3 = 400) 2*x2);
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(A), (B) & (C)
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(A), (C) & (D)
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(B) & (C)
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(A) & (C)
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(A) & (D)
Statement (A): x1 * 2 == x2 evaluates to 100 * 2 == 200, which is true. Statement (C): (x3 - 2*x2 < 0) evaluates to (300 - 400 < 0) = (-100 < 0) = true. Due to short-circuit OR evaluation, the right side is not executed. Statements (B) and (D) evaluate to false. Therefore, only (A) and (C) are true.
To determine which of the following statements are evaluated to true, let's evaluate each statement one by one:
Option A) b = x1 * 2 == x2; In this statement, x1 is multiplied by 2 and then compared with x2 using the equality operator. If the result of the comparison is true, then b will be assigned the value true. Otherwise, it will be assigned the value false.
Option B) b = x1 + x2 != 3 * x1; In this statement, x1 is added to x2 and the result is compared with 3 times x1 using the inequality operator. If the result of the comparison is true, then b will be assigned the value true. Otherwise, it will be assigned the value false.
Option C) b = (x3 - 2*x2<0) || ((x3 = 400)<2*x2); In this statement, there are two parts to the expression separated by the logical OR operator (||). The first part (x3 - 2*x2<0) checks if x3 - 2*x2 is less than 0. The second part ((x3 = 400)<2*x2) assigns the value 400 to x3 and then checks if the result is less than 2 raised to the power of x2. If either part of the expression evaluates to true, then b will be assigned the value true.
Option D) b = (x3 - 2*x2>0) || ((x3 = 400) 2*x2); In this statement, there are two parts to the expression separated by the logical OR operator (||). The first part (x3 - 2*x2>0) checks if x3 - 2*x2 is greater than 0. The second part ((x3 = 400) 2*x2) assigns the value 400 to x3 and then multiplies it by 2*x2. If either part of the expression evaluates to true, then b will be assigned the value true.
Now, let's evaluate each option:
Option A) (A), (B) & (C) Option B) (A), (C) & (D) Option C) (B) & (C) Option D) (A) & (C) Option E) (A) & (D)
Based on the evaluation of each statement, the correct answer is D) (A) & (C).
Statement (A) is evaluated to false because x1 * 2 is not equal to x2. Statement (B) is evaluated to true because x1 + x2 is not equal to 3 times x1. Statement (C) is evaluated to true because the first part of the expression (x3 - 2*x2<0) is false, but the second part of the expression ((x3 = 400)<2**x2) is true after assigning 400 to x3. Statement (D) is evaluated to false because the first part of the expression (x3 - 2*x2>0) is false, and the second part of the expression ((x3 = 400) 2*x2) is not a valid expression.
Therefore, the correct answer is (A) & (C).