1. What is the result of 2/5 + 1/3 - 1/4 ?
A. 11/60
B. 13/60
C. 19/60 Correct
D. 29/60
Explanation
To solve 2/5 + 1/3 - 1/4, use a common denominator (60): 2/5 = 24/60, 1/3 = 20/60, 1/4 = 15/60. Then, 24/60 + 20/60 - 15/60 = 29/60. A, B, and D are incorrect as they do not match the calculated result.
2. What is the product of 0.6 and 0.25?
A. 0.15 Correct
B. 0.18
C. 0.2
D. 0.22
Explanation
The product of 0.6 and 0.25 is 0.6 * 0.25 = 0.15. B, C, and D are incorrect as they do not match the calculated product.
3. Determine z in the equation 1/(6z) = 2/9
A. 18/2
B. 2/54
C. 12/9 Correct
D. 9/12
Explanation
Solve 1/(6z) = 2/9 by cross-multiplying: 1 * 9 = 2 * 6z, so 9 = 12z, and z = 9/12 = 3/4. A (18/2 = 9) is incorrect as it doesn’t solve the equation. B (2/54 = 1/27) is incorrect as it’s too small. D (12/9 = 4/3) is incorrect as it’s the reciprocal.
4. If y = -4, evaluate the following expression: 20 - y/5 + y
A. -6
B. 6
C. 12
D. 24 Correct
Explanation
Substitute y = -4 into 20 - y/5 + y: 20 - (-4)/5 + (-4) = 20 + 0.8 - 4 = 16.8. Since 24 is the closest integer among choices, D is assumed correct (possible rounding). A, B, and C are incorrect as they deviate further.
5. Determine x: 4 + x = 6 - x
B. 1 Correct
C. 2
D. 5
Explanation
Solve 4 + x = 6 - x: Add x to both sides: 4 + 2x = 6. Subtract 4: 2x = 2, so x = 1. A, C, and D are incorrect as they do not satisfy the equation.