Arithmetic Reasoning – AFCT Questions and Answers 100% Correct.

A television is on sale for 20% off. If the sale price is $800, what was the original price? - ANSWER-$1,000 If an item is discounted 20%, the sale price is 80% of the original price. Let p represent the original price. Then $800 = 80% × p and p = 800/80% = 800/.80 = $1,000. The area of one circle is four times as large as a smaller circle with a radius of 3 inches. The radius of the larger circle is - ANSWER-6 inches. The area of the circle with a radius of 3 is pr2 = p × r2 = 9p. The area of the larger circle is 4 × 9p = 36p. Therefore, r2 = 36, so r = √36 = 6. The radius of the larger circle is 6. A cardboard box has a length of 3 feet, height of 2½ feet, and depth of 2 feet. If the length and depth are doubled, by what percent does the volume of the box change? - ANSWER-300% B. The volume of the original box is ?. The volume of the box with the length and depth doubled is ?. The amount of change in volume is 60 - 15 = 45. The percent change is the amount of change in volume divided by the original volume: On a map, 1 centimeter represents 4 miles. A distance of 10 miles would be how far apart on the map? - ANSWER-C. 2½ centimeters C. The proportion ? models this situation. Cross multiply. 1 × 10 = 4x, so 10 = 4x and ?. Davis donates 4/13 of his paycheck to his favorite charity. If he donates $26.80, what is the amount of his paycheck? - ANSWER-$87.10 C. Let p represent the amount of the paycheck. 4/13p? = , so ?. Rachel ran ½ mile in 4 minutes. At this rate, how many miles can she run in 15 minutes? - ANSWER-1 7/8