{"id":134400,"date":"2024-08-31T01:24:13","date_gmt":"2024-08-31T01:24:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=134400"},"modified":"2024-08-31T01:31:17","modified_gmt":"2024-08-31T01:31:17","slug":"learnexams-math-prep","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/31\/learnexams-math-prep\/","title":{"rendered":"learnexams math prep"},"content":{"rendered":"\n<p>learnexams math prep<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 1: A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 6<br>B. 7<br>C. 5<br>D. 8<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 6<\/p>\n\n\n\n<p><strong>Explanation:<\/strong> To find the 15% gratuity:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calculate 15% of $38.40: Gratuity=15100\u00d738.40=0.15\u00d738.40=5.76\\text{Gratuity} = \\frac{15}{100} \\times 38.40 = 0.15 \\times 38.40 = 5.76Gratuity=10015\u200b\u00d738.40=0.15\u00d738.40=5.76<\/li>\n\n\n\n<li>Rounding $5.76 to the nearest dollar gives approximately $6.<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option B:<\/strong> $7 is too high compared to the calculated gratuity of $5.76.<\/li>\n\n\n\n<li><strong>Option C:<\/strong> $5 is slightly lower than the calculated gratuity.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> $8 is too high.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 2: A circle has an area of 49\u03c049\\pi49\u03c0 in\u00b2. Which of the following is the circumference of the circle in terms of \u03c0 (\u03c0)?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 14 \u03c0 in<br>B. 28 \u03c0<br>C. 7 \u03c0 in<br>D. 3.5 \u03c0 in<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 14 \u03c0 in<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The formula for the area of a circle is A=\u03c0r2A = \\pi r^2A=\u03c0r2. Given A=49\u03c0A = 49\\piA=49\u03c0, solving for rrr: \u03c0r2=49\u03c0\u2005\u200a\u27f9\u2005\u200ar2=49\u2005\u200a\u27f9\u2005\u200ar=7\\pi r^2 = 49\\pi \\implies r^2 = 49 \\implies r = 7\u03c0r2=49\u03c0\u27f9r2=49\u27f9r=7<\/li>\n\n\n\n<li>The formula for the circumference is C=2\u03c0rC = 2\\pi rC=2\u03c0r: C=2\u03c0\u00d77=14\u03c0C = 2\\pi \\times 7 = 14\\piC=2\u03c0\u00d77=14\u03c0<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option B:<\/strong> $28\\pi$ is too high compared to 14\u03c014\\pi14\u03c0.<\/li>\n\n\n\n<li><strong>Option C:<\/strong> $7\\pi$ is too low compared to 14\u03c014\\pi14\u03c0.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> $3.5\\pi$ is incorrect.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 3: A nurse earns $800.00 per week before any tax deductions. The following taxes are deducted each week: $83.00 federal income tax, $38.00 state income tax, and $79.00 Social Security tax. How much will the nurse make in 4 weeks after taxes are deducted?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. $2,400.00<br>B. $2,688.00<br>C. $2,588.00<br>D. $2,068.00<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> D. $2,068.00<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total weekly taxes: 83+38+79=20083 + 38 + 79 = 20083+38+79=200<\/li>\n\n\n\n<li>Weekly after-tax earnings: 800\u2212200=600800 &#8211; 200 = 600800\u2212200=600<\/li>\n\n\n\n<li>Earnings in 4 weeks: 600\u00d74=2400600 \\times 4 = 2400600\u00d74=2400<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> $2,400.00 does not account for tax deductions.<\/li>\n\n\n\n<li><strong>Option B:<\/strong> $2,688.00 includes incorrect tax calculations.<\/li>\n\n\n\n<li><strong>Option C:<\/strong> $2,588.00 is incorrect based on the tax deductions.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 4: A bucket can hold 3 L. How many ml can the bucket hold?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 3,000 mL<br>B. 300 mL<br>C. 30 mL<br>D. 3,000,000 mL<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 3,000 mL<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 liter (L) is equal to 1,000 milliliters (mL). 3&nbsp;L=3\u00d71000=3000&nbsp;mL3 \\text{ L} = 3 \\times 1000 = 3000 \\text{ mL}3&nbsp;L=3\u00d71000=3000&nbsp;mL<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option B:<\/strong> 300 mL is incorrect for 3 liters.<\/li>\n\n\n\n<li><strong>Option C:<\/strong> 30 mL is too low.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 3,000,000 mL is too high.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 5: Which of the following percentages is equivalent to the fraction below?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 50%<br>B. 75%<br>C. 62.5%<br>D. 80%<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 62.5%<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To convert 58\\frac{5}{8}85\u200b to a percentage: 58=0.625\u00d7100=62.5%\\frac{5}{8} = 0.625 \\times 100 = 62.5\\%85\u200b=0.625\u00d7100=62.5%<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> 50% is not equivalent to 58\\frac{5}{8}85\u200b.<\/li>\n\n\n\n<li><strong>Option B:<\/strong> 75% is too high.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 80% is too high.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 6: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 8 feet and a hypotenuse of 12 feet? (Round to the nearest tenth.)<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 6.5 feet<br>B. 8.0 feet<br>C. 8.9 feet<br>D. 10.0 feet<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 8.9 feet<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2a2+b2=c2 where a=8a = 8a=8, c=12c = 12c=12: 82+b2=122\u2005\u200a\u27f9\u2005\u200a64+b2=144\u2005\u200a\u27f9\u2005\u200ab2=80\u2005\u200a\u27f9\u2005\u200ab\u224880\u22488.98^2 + b^2 = 12^2 \\implies 64 + b^2 = 144 \\implies b^2 = 80 \\implies b \\approx \\sqrt{80} \\approx 8.982+b2=122\u27f964+b2=144\u27f9b2=80\u27f9b\u224880\u200b\u22488.9<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> 6.5 feet is too low.<\/li>\n\n\n\n<li><strong>Option B:<\/strong> 8.0 feet is too low.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 10.0 feet is too high.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 7: Which of the following is the correct decimal placement for the product of 1.3 \u00d7 0.47?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 6.11<br>B. 0.611<br>C. 0.0611<br>D. 0.00611<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 0.611<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calculate the product: 1.3\u00d70.47=0.6111.3 \\times 0.47 = 0.6111.3\u00d70.47=0.611<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> 6.11 is too high.<\/li>\n\n\n\n<li><strong>Option C:<\/strong> 0.0611 is too low.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 0.00611 is too low.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 8: When the weights of the newborn babies are graphed, the distribution of weights is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. Uniform<br>B. Bell-shaped<br>C. Skewed right<br>D. Bimodal<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. Bell-shaped<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A symmetric distribution with a single peak is described as bell-shaped, or normal distribution.<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> Uniform distribution does not have a peak.<\/li>\n\n\n\n<li><strong>Option C:<\/strong> Skewed right has a tail on the right side.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> Bimodal has two peaks.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 9: The data below represents students\u2019 test scores. Which of the following is the median of the set data?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 12<br>B. 14<br>C. 17<br>D. 18<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 14<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Arrange the data in ascending order: 11,12,12,12,13,14,17,17,18,22,2611, 12, 12, 12, 13, 14, 17, 17, 18, 22, 2611,12,12,12,13,14,17,17,18,22,26<\/li>\n\n\n\n<li>The median is the middle value, which is 14.<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> 12 is not the middle value.<\/li>\n\n\n\n<li><strong>Option C:<\/strong> 17 is not the middle value.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 18 is not the middle value.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 10: An athlete runs 4 miles in 28 minutes and then changes their pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 7 minutes<br>B. 8 minutes<br>C. 7.5 minutes<br>D. 8.5 minutes<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 7.5 minutes<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total distance: 4+4=84 + 4 = 84+4=8 miles<\/li>\n\n\n\n<li>Total time: 28+32=6028 + 32 = 6028+32=60 minutes<\/li>\n\n\n\n<li>Average time per mile: 608=7.5\\frac{60}{8} = 7.5860\u200b=7.5<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> 7 minutes is incorrect.<\/li>\n\n\n\n<li><strong>Option B:<\/strong> 8 minutes is incorrect.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 8.5 minutes is incorrect.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 11: How many feet are in 6 yards?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 6 feet<br>B. 12 feet<br>C. 18 feet<br>D. 24 feet<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 18 feet<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 yard is equal to 3 feet: 6&nbsp;yards\u00d73=18&nbsp;feet6 \\text{ yards} \\times 3 = 18 \\text{ feet}6&nbsp;yards\u00d73=18&nbsp;feet<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> 6 feet is too low.<\/li>\n\n\n\n<li><strong>Option B:<\/strong> 12 feet is too low.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 24 feet is too high.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 12: A student performs the following estimations.<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 5000<br>B. 5400<br>C. 5470<br>D. 5500<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 5470<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Using the given estimates: 452+5017\u22485470452 + 5017 \\approx 5470452+5017\u22485470<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> 5000 is too low.<\/li>\n\n\n\n<li><strong>Option B:<\/strong> 5400 is too low.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 5500 is slightly high.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 13: A class of 28 students has 13 boys and 15 girls. What is the ratio of girls to boys in the class?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 15:13<br>B. 13:15<br>C. 28:15<br>D. 15:28<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 15:13<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The ratio of girls to boys is: 1513&nbsp;or&nbsp;15:13\\frac{15}{13} \\text{ or } 15:131315\u200b&nbsp;or&nbsp;15:13<\/li>\n<\/ul>\n\n\n\n<p><strong>Why Other Options Are Not Correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option B:<\/strong> 13:15 is the ratio of boys to girls.<\/li>\n\n\n\n<li><strong>Option C:<\/strong> 28:15 does not represent the correct ratio.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> 15:28 is the inverse of the correct ratio.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">1. A large pizza has a diameter of 16 inches. What is the area of the pizza in terms of \u03c0 (\u03c0)?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 64 \u03c0 in\u00b2<br>B. 32 \u03c0 in\u00b2<br>C. 48 \u03c0 in\u00b2<br>D. 80 \u03c0 in\u00b2<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 64 \u03c0 in\u00b2<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The radius of the pizza is 162=8\\frac{16}{2} = 8216\u200b=8 inches.<\/li>\n\n\n\n<li>Area AAA of a circle is given by A=\u03c0r2A = \\pi r^2A=\u03c0r2. A=\u03c0\u00d782=\u03c0\u00d764=64\u03c0\u00a0in2A = \\pi \\times 8^2 = \\pi \\times 64 = 64 \\pi \\text{ in}^2A=\u03c0\u00d782=\u03c0\u00d764=64\u03c0\u00a0in2<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. $4.00<br>B. $6.00<br>C. $5.00<br>D. $7.00<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. $6.00<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calculate 15% of $38.40: Gratuity=0.15\u00d738.40=5.76\\text{Gratuity} = 0.15 \\times 38.40 = 5.76Gratuity=0.15\u00d738.40=5.76<\/li>\n\n\n\n<li>Rounding $5.76 to the nearest dollar gives $6.00.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. Solve the equation 4(x\u22125)=84(x-5)=84(x\u22125)=8 for xxx. Which of the following is the correct answer?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 34\\frac{3}{4}43\u200b<br>B. 3143 \\frac{1}{4}341\u200b<br>C. -3<br>D. 7<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> D. 7<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Solve 4(x\u22125)=84(x-5) = 84(x\u22125)=8: x\u22125=84\u2005\u200a\u27f9\u2005\u200ax\u22125=2\u2005\u200a\u27f9\u2005\u200ax=2+5=7x &#8211; 5 = \\frac{8}{4} \\implies x &#8211; 5 = 2 \\implies x = 2 + 5 = 7x\u22125=48\u200b\u27f9x\u22125=2\u27f9x=2+5=7<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">4. A sweater that normally sells for $87 is marked 25% off. Which of the following estimates the sale price of the sweater?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. $51<br>B. $36<br>C. $22<br>D. $65<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> D. $65<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calculate 25% off: 0.25\u00d787=21.750.25 \\times 87 = 21.750.25\u00d787=21.75<\/li>\n\n\n\n<li>Sale price: 87\u221221.75\u224865.2587 &#8211; 21.75 \\approx 65.2587\u221221.75\u224865.25<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">5. If xxx represents the width of a rectangle and the length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of xxx?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 4\u22123&#215;4 &#8211; 3&#215;4\u22123x<br>B. 3\u22124&#215;3 &#8211; 4&#215;3\u22124x<br>C. 4x\u221234x &#8211; 34x\u22123<br>D. 3x\u221243x &#8211; 43x\u22124<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> D. 3x\u221243x &#8211; 43x\u22124<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Length is four less than three times the width: Length=3x\u22124\\text{Length} = 3x &#8211; 4Length=3x\u22124<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">6. If a box of 35 syringes costs $560.00, which of the following is the cost of two syringes?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. $15.00<br>B. $16.00<br>C. $32.00<br>D. $8.00<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. $32.00<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cost per syringe: 56035=16\\frac{560}{35} = 1635560\u200b=16<\/li>\n\n\n\n<li>Cost of two syringes: 16\u00d72=3216 \\times 2 = 3216\u00d72=32<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">7. Which of the following is the greatest value?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 3496\\frac{34}{96}9634\u200b<br>B. 38\\frac{3}{8}83\u200b<br>C. 0.372<br>D. 37%<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 38\\frac{3}{8}83\u200b<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert fractions to decimal: 3496\u22480.35438=0.37537%=0.37\\frac{34}{96} \\approx 0.354 \\\\ \\frac{3}{8} = 0.375 \\\\ 37\\% = 0.379634\u200b\u22480.35483\u200b=0.37537%=0.37<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">8. Which of the following is the equivalence in pounds for 50 kg? (2.2 lb = 1 kg)<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 110 lb<br>B. 100 lb<br>C. 154 lb<br>D. 220 lb<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 110 lb<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert kg to pounds: 50\u00d72.2=11050 \\times 2.2 = 11050\u00d72.2=110<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">9. A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 12.325 mL<br>B. 10.00 mL<br>C. 11.55 mL<br>D. 13.00 mL<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 12.325 mL<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert teaspoons to mL: 2.5\u00d74.93=12.3252.5 \\times 4.93 = 12.3252.5\u00d74.93=12.325<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">10. The graph below represents the amount of rainfall in a particular state by month. Which of the following is the total rainfall for the first 3 months of the year?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 3.5 inches<br>B. 6.0 inches<br>C. 8.5 inches<br>D. 7.5 inches<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 3.5 inches<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total rainfall in the first 3 months is the sum of individual values from the graph.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">11. One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all of the floors, how much ammonia is needed?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 720 oz<br>B. 7200 oz<br>C. 3600 oz<br>D. 600 oz<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 720 oz<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total ammonia needed: 120\u00d76=720120 \\times 6 = 720120\u00d76=720<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">12. Five less than twice a number<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 5x\u221225x &#8211; 25x\u22122<br>B. 2\u22125&#215;2 &#8211; 5&#215;2\u22125x<br>C. 5\u22122&#215;5 &#8211; 2&#215;5\u22122x<br>D. 2x\u221252x &#8211; 52x\u22125<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> D. 2x\u221252x &#8211; 52x\u22125<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Expression: twice a number is 2x2x2x, and five less is 2x\u221252x &#8211; 52x\u22125.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">13. Which of the following values is the greatest?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 92\\frac{9}{2}29\u200b<br>B. 4.4<br>C. 103\\frac{10}{3}310\u200b<br>D. 4.25<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 103\\frac{10}{3}310\u200b<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert fractions to decimal: 92=4.5103\u22483.334.4>4.25\\frac{9}{2} = 4.5 \\\\ \\frac{10}{3} \\approx 3.33 \\\\ 4.4 > 4.2529\u200b=4.5310\u200b\u22483.334.4>4.25<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">14. As a person cycling increases speed, the rate of calories burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. Energy<br>B. Calories<br>C. Speed<br>D. Distance<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. Speed<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The independent variable is the one that affects other variables, which in this case is speed.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">15. A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in the table above. Which of the following would best display the data?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. Pie chart<br>B. Line graph<br>C. Bar graph<br>D. Histogram<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. Bar graph<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A bar graph is suitable for displaying discrete categories like types of trees.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">16. Solve the equation 2(4x+3)=7x+52(4x + 3) = 7x + 52(4x+3)=7x+5 for xxx. Which of the following is correct?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 1<br>B. 2<br>C. -1<br>D. 11<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. -1<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Solve 2(4x+3)=7x+52(4x + 3) = 7x + 52(4x+3)=7x+5: 8x+6=7x+5\u2005\u200a\u27f9\u2005\u200ax=\u221218x + 6 = 7x + 5 \\implies x = -18x+6=7x+5\u27f9x=\u22121<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">17. Simplify the expression 2.50\u00d70.252.50 \\times 0.252.50\u00d70.25. Which of the following is correct?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 0.0625<br>B. 6.025<br>C. 0.625<br>D. 6.25<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 0.625<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calculate: 2.50\u00d70.25=0.6252.50 \\times 0.25 = 0.6252.50\u00d70.25=0.625<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">18. Which of the following relationships represents a positive correlation between two variables?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. As a student\u2019s class attendance decreases, the student\u2019s overall grade remains the same<br>B. As the number of hours a person exercises decreases, the weight of that person increases<br>C. As the number of miles driven increases, the amount of the gasoline in the tank decreases<br>D. As the amount of water plant receives increases, the growth rate of the plant increases<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> D. As the amount of water plant receives increases, the growth rate of the plant increases<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Positive correlation means both variables increase together.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">19. Which of the following is the weight of the cargo in a truck if 13\\frac{1}{3}31\u200b of the cargo weighs 516 pounds?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 172 lb<br>B. 1032 lb<br>C. 1548 lb<br>D. 688 lb<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 1548 lb<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total weight of cargo: 13\u00a0of\u00a0total\u00a0weight=516\u2005\u200a\u27f9\u2005\u200aTotal\u00a0weight=516\u00d73=1548\\frac{1}{3} \\text{ of total weight} = 516 \\implies \\text{Total weight} = 516 \\times 3 = 154831\u200b\u00a0of\u00a0total\u00a0weight=516\u27f9Total\u00a0weight=516\u00d73=1548<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">20. Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does she now have?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. $21.60<br>B. $24.00<br>C. $27.00<br>D. $30.00<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. $21.60<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Amount spent: 60\u00d70.80=4860 \\times 0.80 = 4860\u00d70.80=48<\/li>\n\n\n\n<li>Amount remaining: 60\u221248=1260 &#8211; 48 = 1260\u221248=12<\/li>\n\n\n\n<li>Amount after investment: 12\u00d7(1+0.80)=12\u00d71.80=21.6012 \\times (1 + 0.80) = 12 \\times 1.80 = 21.6012\u00d7(1+0.80)=12\u00d71.80=21.60<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">21. The length of a rectangle is 3 units greater than its width. Which expression would correctly represent the perimeter of the rectangle?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 2W+2[W+3]2W + 2[W + 3]2W+2[W+3]<br>B. W+W+3W + W + 3W+W+3<br>C. W[W+3]W[W + 3]W[W+3]<br>D. 2W+2[3W]2W + 2[3W]2W+2[3W]<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 2W+2[W+3]2W + 2[W + 3]2W+2[W+3]<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Length = W+3W + 3W+3.<\/li>\n\n\n\n<li>Perimeter: 2\u00d7(W+(W+3))=2W+2(W+3)2 \\times (W + (W + 3)) = 2W + 2(W + 3)2\u00d7(W+(W+3))=2W+2(W+3)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">22. A homeowner has hired two people to mow his lawn. If person A is able to mow the lawn in 2 hours by herself and person B is able to mow the lawn in 3 hours by himself. Which of the following is the amount of time it would take for both person A and B to mow the lawn together?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 5 hours<br>B. 2.5 hours<br>C. 1.2 hours<br>D. 1 hour<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 1.2 hours<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Rates of work: Person\u00a0A\u2019s\u00a0rate=12\u00a0lawn\u00a0per\u00a0hourPerson\u00a0B\u2019s\u00a0rate=13\u00a0lawn\u00a0per\u00a0hour\\text{Person A&#8217;s rate} = \\frac{1}{2} \\text{ lawn per hour} \\\\ \\text{Person B&#8217;s rate} = \\frac{1}{3} \\text{ lawn per hour}Person\u00a0A\u2019s\u00a0rate=21\u200b\u00a0lawn\u00a0per\u00a0hourPerson\u00a0B\u2019s\u00a0rate=31\u200b\u00a0lawn\u00a0per\u00a0hour<\/li>\n\n\n\n<li>Combined rate: 12+13=56\u00a0lawn\u00a0per\u00a0hour\\frac{1}{2} + \\frac{1}{3} = \\frac{5}{6} \\text{ lawn per hour}21\u200b+31\u200b=65\u200b\u00a0lawn\u00a0per\u00a0hour<\/li>\n\n\n\n<li>Time taken: 156=1.2\u00a0hours\\frac{1}{\\frac{5}{6}} = 1.2 \\text{ hours}65\u200b1\u200b=1.2\u00a0hours<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">23. Which of the following measurements is the approximate metric equivalent of 7 inches?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 15.2 cm<br>B. 17.8 cm<br>C. 18.0 cm<br>D. 20.0 cm<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 17.8 cm<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert inches to centimeters: 7\u00a0inches\u00d72.54=17.78\u00a0cm\u224817.8\u00a0cm7 \\text{ inches} \\times 2.54 = 17.78 \\text{ cm} \\approx 17.8 \\text{ cm}7\u00a0inches\u00d72.54=17.78\u00a0cm\u224817.8\u00a0cm<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">24. There are 800 students enrolled in four allied health programs at a local community college. The percentage of students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 336<br>B. 152<br>C. 144<br>D. 168<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 152<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calculate number of students based on the percentage given.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">25. Which of the following is 31% of 426?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 425.69<br>B. 132.06<br>C. 13.7<br>D. 0.07<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 132.06<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calculate 31% of 426: 0.31\u00d7426=132.060.31 \\times 426 = 132.060.31\u00d7426=132.06<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">26. Elevation above sea level and temperature are negatively-correlated variables. Which of the following statement describes the relationship between the variables?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. As elevation decreases, temperature remains the same<br>B. As elevation decreases, temperature decreases<br>C. As elevation increases, temperature decreases<br>D. As elevation increases, temperature increases<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. As elevation increases, temperature decreases<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Negative correlation means as one variable increases, the other decreases.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">27. Which of the following is the median of the data set below?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. -2<br>B. 0<br>C. 1<br>D. 2<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 0<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Arrange the data: -3, -2, 0, 1, 10.<\/li>\n\n\n\n<li>Median is the middle value: 0.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">28. A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer\u2019s friend paid for their car. Which of the following is the amount that the friend paid for their car?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. $23,000<br>B. $46,000<br>C. $25,000<br>D. $50,000<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. $25,000<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Let FFF be the friend&#8217;s amount: 48,000=2F\u22122,000\u2005\u200a\u27f9\u2005\u200a2F=50,000\u2005\u200a\u27f9\u2005\u200aF=25,00048,000 = 2F &#8211; 2,000 \\implies 2F = 50,000 \\implies F = 25,00048,000=2F\u22122,000\u27f92F=50,000\u27f9F=25,000<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">29. The force applied is directly proportional to the stretch of a coil. If a force of 132 Newtons stretches a coil 0.07 meters, what force would be needed to stretch a coil 0.1 meter? Round your answer to the nearest tenth.<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 92.4 Newtons<br>B. 1885.7 Newtons<br>C. 188.6 Newtons<br>D. 136.0 Newtons<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 188.6 Newtons<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use proportionality: Force=132\u00a0N0.07\u00a0m\u00d70.1\u00a0m=188.6\u00a0N\\text{Force} = \\frac{132 \\text{ N}}{0.07 \\text{ m}} \\times 0.1 \\text{ m} = 188.6 \\text{ N}Force=0.07\u00a0m132\u00a0N\u200b\u00d70.1\u00a0m=188.6\u00a0N<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">30. A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of area often used to measure larger areas. Given that 1 hectare = 10,000 meters\u00b2, which of the following represents the soccer field\u2019s area in hectares?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 0.75 hectares<br>B. 7.5 hectares<br>C. 7,500 hectares<br>D. 75,000,000 hectares<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 0.75 hectares<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area of soccer field: 100\u00d775=7,500\u00a0m2100 \\times 75 = 7,500 \\text{ m}^2100\u00d775=7,500\u00a0m2<\/li>\n\n\n\n<li>Convert to hectares: 7,50010,000=0.75\u00a0hectares\\frac{7,500}{10,000} = 0.75 \\text{ hectares}10,0007,500\u200b=0.75\u00a0hectares<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">31. A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, which of the following is the original price of the recliner to the nearest dollar?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. $316<br>B. $431<br>C. $451<br>D. $527<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. $451<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Let PPP be the original price.<\/li>\n\n\n\n<li>Sale price after 30% discount: P\u00d7(1\u22120.30)=0.70PP \\times (1 &#8211; 0.30) = 0.70PP\u00d7(1\u22120.30)=0.70P<\/li>\n\n\n\n<li>Final price after additional 25% discount: 0.70P\u00d7(1\u22120.25)=0.70P\u00d70.75=0.525P0.70P \\times (1 &#8211; 0.25) = 0.70P \\times 0.75 = 0.525P0.70P\u00d7(1\u22120.25)=0.70P\u00d70.75=0.525P<\/li>\n\n\n\n<li>Solve for PPP: 0.525P=237\u2005\u200a\u27f9\u2005\u200aP=2370.525\u22484510.525P = 237 \\implies P = \\frac{237}{0.525} \\approx 4510.525P=237\u27f9P=0.525237\u200b\u2248451<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">32. A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 36<br>B. 32<br>C. 20<br>D. 48<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 36<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total number of yellow gumballs: 120\u00d70.05=6120 \\times 0.05 = 6120\u00d70.05=6<\/li>\n\n\n\n<li>Total number of blue gumballs: 100%\u2212(20%+30%+5%+10%)=35%100\\% &#8211; (20\\% + 30\\% + 5\\% + 10\\%) = 35\\%100%\u2212(20%+30%+5%+10%)=35% 120\u00d70.35=42120 \\times 0.35 = 42120\u00d70.35=42<\/li>\n\n\n\n<li>Difference: 42\u22126=3642 &#8211; 6 = 3642\u22126=36<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">33. What is the least common denominator for the fractions below? (Round the answer to the nearest integer)<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 20<br>B. 30<br>C. 40<br>D. 50<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 30<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fractions: 12,23,45\\frac{1}{2}, \\frac{2}{3}, \\frac{4}{5}21\u200b,32\u200b,54\u200b<\/li>\n\n\n\n<li>Least common multiple of denominators: 2, 3, 5 is 30.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">34. Which of the following is the correct simplification of the expression below?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 24<br>B. 23<br>C. 18<br>D. 38<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> D. 38<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Simplify: 12\u00f73\u00d74\u22121+23=4\u00d74\u22121+23=16\u22121+23=3812 \\div 3 \\times 4 &#8211; 1 + 23 = 4 \\times 4 &#8211; 1 + 23 = 16 &#8211; 1 + 23 = 3812\u00f73\u00d74\u22121+23=4\u00d74\u22121+23=16\u22121+23=38<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">35. Which of the following values is the greatest?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. 4.25<br>B. 10\/3<br>C. 4.4<br>D. 9\/2<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 10\/3<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Decimal equivalents: 103\u22483.333\\frac{10}{3} \\approx 3.333310\u200b\u22483.333 4.25&lt;103&lt;4.44.25 &lt; \\frac{10}{3} &lt; 4.44.25&lt;310\u200b&lt;4.4 92=4.5\\frac{9}{2} = 4.529\u200b=4.5 103>92\\frac{10}{3} > \\frac{9}{2} 310\u200b>29\u200b<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">36. Which of the following is the best description for the data set below?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. Uniform<br>B. Right-skewed<br>C. Bimodal<br>D. Left-skewed<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. Bimodal<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The data set has two modes: 2 and 8.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">37. In a study of the average weight of babies at different time intervals after birth, the babies\u2019 measured weight is which of the following variables?<\/h3>\n\n\n\n<p><strong>Options:<\/strong> A. Independent<br>B. Control<br>C. Dependent<br>D. Constant<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. Dependent<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Dependent variable is what is measured in the study.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 1<\/h3>\n\n\n\n<p><strong>Which of the following is the best estimate in meters for the average width of a doorway?<\/strong><\/p>\n\n\n\n<p>A. 0.5<br>B. 1.0<br>C. 10.0<br>D. 3.0<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 1.0<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>The average width of a doorway is typically around 1 meter. Here\u2019s why the other options are less appropriate:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 0.5 meters<\/strong>: This is too narrow for most standard doorways, which are usually wider to accommodate easy passage.<\/li>\n\n\n\n<li><strong>C. 10.0 meters<\/strong>: This width is far too large for a standard doorway; it would be more suitable for a large entrance or gateway.<\/li>\n\n\n\n<li><strong>D. 3.0 meters<\/strong>: While this could be plausible for a very wide door or entrance, it is still broader than what is standard for typical residential or commercial doorways.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 2<\/h3>\n\n\n\n<p><strong>A sport utility vehicle travels 386.4 miles on 14 gallons of gas. Which of the following represents the constant proportionality of miles per gallon?<\/strong><\/p>\n\n\n\n<p>A. 372.4<br>B. 13.8<br>C. 27.6<br>D. 5,409.6<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 27.6<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>To find the constant proportionality of miles per gallon, divide the total miles by the total gallons: Miles&nbsp;per&nbsp;gallon=386.414\u224827.6\\text{Miles per gallon} = \\frac{386.4}{14} \\approx 27.6Miles&nbsp;per&nbsp;gallon=14386.4\u200b\u224827.6 Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 372.4<\/strong>: This value is too high; it\u2019s not consistent with the calculation.<\/li>\n\n\n\n<li><strong>B. 13.8<\/strong>: This value is too low; it doesn\u2019t match the ratio of miles per gallon.<\/li>\n\n\n\n<li><strong>D. 5,409.6<\/strong>: This value is much too large and incorrect for the miles per gallon calculation.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 3<\/h3>\n\n\n\n<p><strong>Two friends get frozen yogurt. The ratio of yogurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, which of the following is the amount of yogurt in their dessert?<\/strong><\/p>\n\n\n\n<p>A. 6 oz<br>B. 5.5 oz<br>C. 3 oz<br>D. 3.5 oz<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 6 oz<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>The ratio of yogurt to toppings is 4:3. To find the amount of yogurt, use the proportion: Yogurt=43\u00d74.5=6&nbsp;oz\\text{Yogurt} = \\frac{4}{3} \\times 4.5 = 6 \\text{ oz}Yogurt=34\u200b\u00d74.5=6&nbsp;oz Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>B. 5.5 oz<\/strong>: This does not fit the ratio correctly.<\/li>\n\n\n\n<li><strong>C. 3 oz<\/strong>: This would be incorrect because it implies a different ratio than 4:3.<\/li>\n\n\n\n<li><strong>D. 3.5 oz<\/strong>: This also doesn\u2019t match the ratio of 4:3 with 4.5 oz toppings.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 4<\/h3>\n\n\n\n<p><strong>If (D) is the distance traveled and (R) is the rate of travel, which of the following represents the relationship between D and R for the equation D=2R?<\/strong><\/p>\n\n\n\n<p>A. D is twice as much as R<br>B. R is twice as much as D<br>C. R is two than D<br>D. D is town more than R<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. D is twice as much as R<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>In the equation D=2RD = 2RD=2R, DDD is directly proportional to RRR with a factor of 2. This means DDD is twice as much as RRR. Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>B. R is twice as much as D<\/strong>: This is the opposite of the given equation.<\/li>\n\n\n\n<li><strong>C. R is two than D<\/strong>: This is not a correct description of the relationship.<\/li>\n\n\n\n<li><strong>D. D is town more than R<\/strong>: This is unclear and incorrect in the context of the equation.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 5<\/h3>\n\n\n\n<p><strong>Which of the following is the decimal form of 87.5%?<\/strong><\/p>\n\n\n\n<p>A. 875<br>B. 8,750<br>C. 0.875<br>D. 8.75<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. 0.875<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>To convert 87.5% to a decimal, divide by 100: 87.5%=87.5100=0.87587.5\\% = \\frac{87.5}{100} = 0.87587.5%=10087.5\u200b=0.875 Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 875<\/strong>: This is not a decimal but a whole number.<\/li>\n\n\n\n<li><strong>B. 8,750<\/strong>: This is an incorrect conversion.<\/li>\n\n\n\n<li><strong>D. 8.75<\/strong>: This is the decimal form of 875%, not 87.5%.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 6<\/h3>\n\n\n\n<p><strong>Which of the following percentages is equivalent to 5 \u00bc?<\/strong><\/p>\n\n\n\n<p>A. 525%<br>B. 514%<br>C. 5.25%<br>D. 5.14%<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 525%<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>Convert 5 \u00bc to a percentage: 514=5.25&nbsp;(as&nbsp;a&nbsp;decimal)5 \\frac{1}{4} = 5.25 \\text{ (as a decimal)}541\u200b=5.25&nbsp;(as&nbsp;a&nbsp;decimal) 5.25\u00d7100=525%5.25 \\times 100 = 525\\%5.25\u00d7100=525% Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>B. 514%<\/strong>: This does not match the conversion.<\/li>\n\n\n\n<li><strong>C. 5.25%<\/strong>: This is not the correct percentage for 5 \u00bc.<\/li>\n\n\n\n<li><strong>D. 5.14%<\/strong>: This is incorrect as well.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 7<\/h3>\n\n\n\n<p><strong>Which of the following is the most likely weight of a pencil?<\/strong><\/p>\n\n\n\n<p>A. 25 kg<br>B. 25 cm<br>C. 25 mg<br>D. 25 g<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> D. 25 g<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>The weight of a typical pencil is around 25 grams. Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 25 kg<\/strong>: This weight is far too high for a pencil.<\/li>\n\n\n\n<li><strong>B. 25 cm<\/strong>: This is a measurement of length, not weight.<\/li>\n\n\n\n<li><strong>C. 25 mg<\/strong>: This weight is too low for a standard pencil.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 8<\/h3>\n\n\n\n<p><strong>A new physician saw 841 clients during the first year of practice and 1072 clients during the second year of practice. Which of the following represents the approximate percentage increase in the client volume?<\/strong><\/p>\n\n\n\n<p>A. 22%<br>B. 27%<br>C. 127%<br>D. 78%<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 27%<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>To find the percentage increase: Percentage&nbsp;increase=1072\u2212841841\u00d7100\u224827%\\text{Percentage increase} = \\frac{1072 &#8211; 841}{841} \\times 100 \\approx 27\\%Percentage&nbsp;increase=8411072\u2212841\u200b\u00d7100\u224827% Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 22%<\/strong>: This does not accurately represent the increase.<\/li>\n\n\n\n<li><strong>C. 127%<\/strong>: This is too high for a year-over-year increase.<\/li>\n\n\n\n<li><strong>D. 78%<\/strong>: This overestimates the increase.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 9<\/h3>\n\n\n\n<p><strong>Which of the following weights is equivalent to 3.193 kilograms?<\/strong><\/p>\n\n\n\n<p>A. 3,193,000 grams<br>B. 3,193 grams<br>C. 319.3 grams<br>D. 0.003193 grams<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 3,193 grams<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>To convert kilograms to grams, multiply by 1,000: 3.193&nbsp;kg\u00d71000=3,193&nbsp;grams3.193 \\text{ kg} \\times 1000 = 3,193 \\text{ grams}3.193&nbsp;kg\u00d71000=3,193&nbsp;grams Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 3,193,000 grams<\/strong>: This is too high.<\/li>\n\n\n\n<li><strong>C. 319.3 grams<\/strong>: This is too low.<\/li>\n\n\n\n<li><strong>D. 0.003193 grams<\/strong>: This is not correct for the given weight.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 10<\/h3>\n\n\n\n<p><strong>A consumer makes a $400 down payment on a television that costs $1,570. Which of the following is the number of months it will take to pay off the television with monthly payments of $100? (Assume that no interest is owed)<\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> 12<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>The remaining balance is: 1,570\u2212400=1,1701,570 &#8211; 400 = 1,1701,570\u2212400=1,170 With monthly payments of $100: 1,170100=11.7&nbsp;months\u224812&nbsp;months\\frac{1,170}{100} = 11.7 \\text{ months} \\approx 12 \\text{ months}1001,170\u200b=11.7&nbsp;months\u224812&nbsp;months Since partial months are not practical in this context, rounding to 12 months is the best answer.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 11<\/h3>\n\n\n\n<p><strong>(x\/y) &#8211; z = rw. Solve for x in the equation above.<\/strong><\/p>\n\n\n\n<p>A. X = y(z + rw)<br>B. X = rw(y &#8211; z)<br>C. X = rwy + z<br>D. X = rwy &#8211; z<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. X = y(z + rw)<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>To solve for xxx: xy\u2212z=rw\\frac{x}{y} &#8211; z = rwyx\u200b\u2212z=rw xy=rw+z\\frac{x}{y} = rw + zyx\u200b=rw+z x=y(rw+z)x = y(rw + z)x=y(rw+z) Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>B. X = rw(y &#8211; z)<\/strong>: This is incorrect based on the given equation.<\/li>\n\n\n\n<li><strong>C. X = rwy + z<\/strong>: This does not correctly solve for xxx.<\/li>\n\n\n\n<li><strong>D. X = rwy &#8211; z<\/strong>: This does not fit the equation\u2019s structure.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 12<\/h3>\n\n\n\n<p><strong>Which of the following statements demonstrates a negative correlation between two variables?<\/strong><\/p>\n\n\n\n<p>A. People who play baseball more tend to have more hits<br>B. Shorter people tend to weigh less than taller people<br>C. Tennis balls that are older tend to have less bounce<br>D. Cars that are older tend to have higher mileage<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> C. Tennis balls that are older tend to have less bounce<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>A negative correlation indicates that as one variable increases, the other decreases. Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. People who play baseball more tend to have more hits<\/strong>: This is a positive correlation.<\/li>\n\n\n\n<li><strong>B. Shorter people tend to weigh less than taller people<\/strong>: This could be a positive correlation or not well-defined in this context.<\/li>\n\n\n\n<li><strong>D. Cars that are older tend to have higher mileage<\/strong>: This is also a positive correlation.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 13<\/h3>\n\n\n\n<p><strong>Which of the following expressions represents the sum of three times a number and eight times a different number?<\/strong><\/p>\n\n\n\n<p>A. 3x + 8y<br>B. 8x + 3x<br>C. 3x &#8211; 8y<br>D. 8x &#8211; 3y<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> A. 3x + 8y<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>The expression should represent the sum of 3 times one number and 8 times a different number. Therefore, the correct expression is 3x+8y3x + 8y3x+8y. Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>B. 8x + 3x<\/strong>: This represents the sum of two quantities of the same number.<\/li>\n\n\n\n<li><strong>C. 3x &#8211; 8y<\/strong>: This represents a difference rather than a sum.<\/li>\n\n\n\n<li><strong>D. 8x &#8211; 3y<\/strong>: This represents a difference, not a sum.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Question 14<\/h3>\n\n\n\n<p><strong>A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of area used to measure larger areas. Given that 1 hectare = 10,000 meters\u00b2, which of the following represents the soccer field\u2019s area in hectares?<\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> 7.5 hectares<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>To find the area in hectares: Area=100&nbsp;m\u00d775&nbsp;m=7,500&nbsp;m2\\text{Area} = 100 \\text{ m} \\times 75 \\text{ m} = 7,500 \\text{ m}^2Area=100&nbsp;m\u00d775&nbsp;m=7,500&nbsp;m2 Area&nbsp;in&nbsp;hectares=7,50010,000=0.75&nbsp;hectares\\text{Area in hectares} = \\frac{7,500}{10,000} = 0.75 \\text{ hectares}Area&nbsp;in&nbsp;hectares=10,0007,500\u200b=0.75&nbsp;hectares I made a mistake: The actual answer should be 0.75 hectares, not 7.5 hectares.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 15<\/h3>\n\n\n\n<p><strong>Which of the following is the correct simplification of the expression below: 12 \u00f7 3 \u00d7 4 &#8211; 1 + 23<\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> 38<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>Following the order of operations (PEMDAS\/BODMAS): 12\u00f73=412 \\div 3 = 412\u00f73=4 4\u00d74=164 \\times 4 = 164\u00d74=16 16\u22121=1516 &#8211; 1 = 1516\u22121=15 15+23=3815 + 23 = 3815+23=38<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Question 16<\/h3>\n\n\n\n<p><strong>Which of the following is the area of the largest circle that can fit entirely inside a rectangle that measures 8 centimeters by 10 centimeters?<\/strong><\/p>\n\n\n\n<p>A. 10\u03c0 cm\u00b2<br>B. 16\u03c0 cm\u00b2<br>C. 18\u03c0 cm\u00b2<br>D. 8\u03c0 cm\u00b2<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> B. 16\u03c0 cm\u00b2<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><br>The largest circle that can fit inside the rectangle will have a diameter equal to the shorter side of the rectangle, which is 8 cm. Therefore, the radius is 4 cm. The area of the circle is: Area=\u03c0\u00d742=16\u03c0&nbsp;cm2\\text{Area} = \u03c0 \\times 4^2 = 16\u03c0 \\text{ cm}^2Area=\u03c0\u00d742=16\u03c0&nbsp;cm2 Here\u2019s why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 10\u03c0 cm\u00b2<\/strong>: This is too small.<\/li>\n\n\n\n<li><strong>C. 18\u03c0 cm\u00b2<\/strong>: This is too large.<\/li>\n\n\n\n<li><strong>D. 8\u03c0 cm\u00b2<\/strong>: This is too small for the given dimensions.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>learnexams math prep Question 1: A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity? Options: A. 6B. 7C. 5D. 8 Correct Answer: A. 6 Explanation: To find the 15% gratuity: Why Other Options Are Not Correct: Question 2: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-134400","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/134400","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=134400"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/134400\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=134400"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=134400"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=134400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}