Nokea
Simplify the expression [2(3 + 5 × 3)] / (12 ÷ 2)
- A. 12
- B. 1
- C. 8
- D. 6
Correct Answer: D
Rationale: To simplify: Calculate 5 × 3 = 15; then 3 + 15 = 18. So, 2 × 18 = 36. Then, 12 ÷ 2 = 6. Finally, 36 ÷ 6 = 6.
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A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, what is the probability that the ball is red?
- A. 4/12
- B. 5/12
- C. 1/4
- D. 1/2
Correct Answer: A
Rationale: To find the probability of selecting a red ball, we calculate the total number of balls in the bag, which is 5 (green) + 4 (red) + 3 (yellow) = 12 balls. The probability is the number of favorable outcomes (4 red balls) divided by the total number of outcomes (12 balls), giving us 4/12 or 1/3. Therefore, the correct answer is A, representing a probability of 1/3 for selecting a red ball from the bag.
What is the decimal equivalent of 7/25?
- A. 0.28
- B. 3.4
- C. 0.18
- D. 3.57
Correct Answer: A
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. For 7/25, the calculation would be 7 · 25 = 0.28. Therefore, the decimal equivalent of 7/25 is 0.28. This process involves dividing the numerator by the denominator to represent the fraction as a decimal number.
Given x/y - 3x = rw, solve for x in the equation above.
- A. x = rw y + z
- B. x = rw y - z
- C. x = rw(y - z)
- D. None of the Above
Correct Answer: D
Rationale: To solve for x in the equation x/y - 3x = rw, you need to isolate x. This equation involves a term with x on both sides and a division by y, making it challenging to find a direct solution for x. By combining these complexities, there is no single correct expression for x. Therefore, 'None of the Above' is the correct answer as there is no straightforward solution for x in this particular equation.
What is the equivalent weight of 50 kg in pounds (1 kg = 2.2 lb)?
- A. 110 lb
- B. 220 lb
- C. 52.2 lb
- D. 22.7 lb
Correct Answer: A
Rationale: To convert 50 kg to pounds, we need to multiply by the conversion factor 2.2 lb/kg. Therefore, 50 kg * 2.2 lb/kg = 110 lb. The correct answer is A, which is 110 lb. The provided conversion factor (1 kg = 2.2 lb) is used to convert kilograms to pounds. By multiplying 50 kg by the conversion factor, we get the equivalent weight in pounds, which is 110 lb.
Translate the phrase 'Five less than twice the number' into a mathematical expression.
- A. 5x-2
- B. 2x-5
- C. 2-5x
- D. 5-2x
Correct Answer: B
Rationale: To translate 'Five less than twice the number' into a mathematical expression, you first calculate twice the number (2x) and then subtract 5 from it. This gives you 2x-5. Therefore, choice B, 2x-5, accurately represents the mathematical expression for 'Five less than twice the number.' The phrase 'Five less than' implies subtraction, and 'twice the number' is represented by 2x. Thus, when you subtract 5 from twice the number, the correct expression is 2x-5.