<\/p>\n
Welcome to the Magoosh Quantitative diagnostic tests! We recommend taking both the Verbal and Quant tests together (go back to GMAT Diagnostic Tests<\/a> to take the Verbal quiz).<\/p>\nThe Quant diagnostic includes both Data Sufficiency and Problem Solving questions, and covers the most frequently tested GMAT Quant concepts<\/a>. For real GMAT exam-like pacing, give yourself 25 minutes to complete this GMAT practice quiz;<\/strong> this will help ensure that the GMAT scores on this diagnostic test are accurate. There are 10 questions total. Let’s get started!<\/p>\n\n<\/p>\n\n\u00a0<\/p>\n<\/div>\n\n <\/div>\n<\/p><\/div>\n\nQuestion 1 of 10<\/p>\n\n\n1. <\/span>QUESTION 1<\/u><\/strong><\/p>\n A class contains boys and girls. What is the probability of selecting a boy from the class?<\/p>\n(1) there are 35 students in the class<\/p>\n(2) the ratio of boys to girls is 3:4<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.<\/span><\/label><\/div>\nB.<\/i>Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.<\/span><\/label><\/div>\nC.<\/i>BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.<\/span><\/label><\/div>\nD.<\/i>Each statement ALONE is sufficient to answer the question.<\/span><\/label><\/div>\nE.<\/i>Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 1 of 10<\/p>\n<\/div>\n\nQuestion 2 of 10<\/p>\n\n\n2. <\/span>QUESTION 2<\/u><\/strong><\/p>\nThe Townville museum was open for 7 consecutive days. If the number of visitors each day was 3 greater than the previous day, how many visitors were there on the first day?<\/p>\n(1) There were a total of 126 visitors for the 7 days.<\/p>\n(2) The number of visitors on the seventh day was three times the number of visitors on the first day.<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.<\/span><\/label><\/div>\nB.<\/i>Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.<\/span><\/label><\/div>\nC.<\/i>BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.<\/span><\/label><\/div>\nD.<\/i>Each statement ALONE is sufficient to answer the question.<\/span><\/label><\/div>\nE.<\/i>Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 2 of 10<\/p>\n<\/div>\n\nQuestion 3 of 10<\/p>\n\n\n3. <\/span>QUESTION 3<\/u><\/strong><\/p>\n If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio of the area of triangle DEC to the area of rectangle ABCD ?<\/p>\nNote:<\/u> Figure not drawn to scale<\/p>\n<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>2:7<\/span><\/label><\/div>\nB.<\/i>1:3<\/span><\/label><\/div>\nC.<\/i>2:5<\/span><\/label><\/div>\nD.<\/i>1:2<\/span><\/label><\/div>\nE.<\/i>3:5<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 3 of 10<\/p>\n<\/div>\n\nQuestion 4 of 10<\/p>\n\n\n4. <\/span>QUESTION 4<\/u><\/strong><\/p>\n \u00a0At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape?<\/p>\n(1) The price of one paintbrush is three times the price of one roll of tape.<\/p>\n(2) The total cost of 6 rolls of tape and 3 paintbrushes is $18.75.<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.<\/span><\/label><\/div>\nB.<\/i>Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.<\/span><\/label><\/div>\nC.<\/i>BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.<\/span><\/label><\/div>\nD.<\/i>Each statement ALONE is sufficient to answer the question.<\/span><\/label><\/div>\nE.<\/i>Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 4 of 10<\/p>\n<\/div>\n\nQuestion 5 of 10<\/p>\n\n\n5. <\/span>QUESTION 5<\/u><\/strong><\/p>\n If y = x<\/sup>\u20445<\/sub>, then what is the ratio of 2x to 3y?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>2<\/sup>\u204415<\/sub><\/span><\/label><\/div>\nB.<\/i>3<\/sup>\u204410<\/sub><\/span><\/label><\/div>\nC.<\/i>3<\/sup>\u20442<\/sub><\/span><\/label><\/div>\nD.<\/i>10<\/sup>\u20443<\/sub><\/span><\/label><\/div>\nE.<\/i>15<\/sup>\u20442<\/sub><\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 5 of 10<\/p>\n<\/div>\n\nQuestion 6 of 10<\/p>\n\n\n6. <\/span>QUESTION 6<\/u><\/strong><\/p>\nFor the first 5 hours of a trip, a plane averaged 120 kilometers per hour. For the remainder of the trip, the plane travelled an average speed of 180 kilometers per hour. If the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>15<\/span><\/label><\/div>\nB.<\/i>20<\/span><\/label><\/div>\nC.<\/i>25<\/span><\/label><\/div>\nD.<\/i>30<\/span><\/label><\/div>\nE.<\/i>35<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 6 of 10<\/p>\n<\/div>\n\nQuestion 7 of 10<\/p>\n\n\n7. <\/span>QUESTION 7<\/u><\/strong><\/p>\nQ = x3<\/sup> \u2212 x<\/p>\nGiven that x is a positive integer such that x \u2265 75, which of the following is the remainder when Q is divided by 6?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>0<\/span><\/label><\/div>\nB.<\/i>1<\/span><\/label><\/div>\nC.<\/i>3<\/span><\/label><\/div>\nD.<\/i>5<\/span><\/label><\/div>\nE.<\/i>Cannot be determined by the information provided.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 7 of 10<\/p>\n<\/div>\n\nQuestion 8 of 10<\/p>\n\n\n8. <\/span>QUESTION 8<\/u><\/strong><\/p>\nTen students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?\n<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>62<\/span><\/label><\/div>\nB.<\/i>65<\/span><\/label><\/div>\nC.<\/i>71<\/span><\/label><\/div>\nD.<\/i>76<\/span><\/label><\/div>\nE.<\/i>83<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 8 of 10<\/p>\n<\/div>\n\nQuestion 9 of 10<\/p>\n\n\n9. <\/span>QUESTION 9<\/u><\/strong><\/p>\nIs a<\/strong> positive?<\/p>\n(1) a6<\/sup> > a<\/p>\n(2) a5<\/sup> > a<\/p>\n<\/div>\n<\/div>\n\n
The Quant diagnostic includes both Data Sufficiency and Problem Solving questions, and covers the most frequently tested GMAT Quant concepts<\/a>. For real GMAT exam-like pacing, give yourself 25 minutes to complete this GMAT practice quiz;<\/strong> this will help ensure that the GMAT scores on this diagnostic test are accurate. There are 10 questions total. Let’s get started!<\/p>\n\n<\/p>\n\n\u00a0<\/p>\n<\/div>\n\n <\/div>\n<\/p><\/div>\n\nQuestion 1 of 10<\/p>\n\n\n1. <\/span>QUESTION 1<\/u><\/strong><\/p>\n A class contains boys and girls. What is the probability of selecting a boy from the class?<\/p>\n(1) there are 35 students in the class<\/p>\n(2) the ratio of boys to girls is 3:4<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.<\/span><\/label><\/div>\nB.<\/i>Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.<\/span><\/label><\/div>\nC.<\/i>BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.<\/span><\/label><\/div>\nD.<\/i>Each statement ALONE is sufficient to answer the question.<\/span><\/label><\/div>\nE.<\/i>Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 1 of 10<\/p>\n<\/div>\n\nQuestion 2 of 10<\/p>\n\n\n2. <\/span>QUESTION 2<\/u><\/strong><\/p>\nThe Townville museum was open for 7 consecutive days. If the number of visitors each day was 3 greater than the previous day, how many visitors were there on the first day?<\/p>\n(1) There were a total of 126 visitors for the 7 days.<\/p>\n(2) The number of visitors on the seventh day was three times the number of visitors on the first day.<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.<\/span><\/label><\/div>\nB.<\/i>Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.<\/span><\/label><\/div>\nC.<\/i>BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.<\/span><\/label><\/div>\nD.<\/i>Each statement ALONE is sufficient to answer the question.<\/span><\/label><\/div>\nE.<\/i>Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 2 of 10<\/p>\n<\/div>\n\nQuestion 3 of 10<\/p>\n\n\n3. <\/span>QUESTION 3<\/u><\/strong><\/p>\n If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio of the area of triangle DEC to the area of rectangle ABCD ?<\/p>\nNote:<\/u> Figure not drawn to scale<\/p>\n<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>2:7<\/span><\/label><\/div>\nB.<\/i>1:3<\/span><\/label><\/div>\nC.<\/i>2:5<\/span><\/label><\/div>\nD.<\/i>1:2<\/span><\/label><\/div>\nE.<\/i>3:5<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 3 of 10<\/p>\n<\/div>\n\nQuestion 4 of 10<\/p>\n\n\n4. <\/span>QUESTION 4<\/u><\/strong><\/p>\n \u00a0At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape?<\/p>\n(1) The price of one paintbrush is three times the price of one roll of tape.<\/p>\n(2) The total cost of 6 rolls of tape and 3 paintbrushes is $18.75.<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.<\/span><\/label><\/div>\nB.<\/i>Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.<\/span><\/label><\/div>\nC.<\/i>BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.<\/span><\/label><\/div>\nD.<\/i>Each statement ALONE is sufficient to answer the question.<\/span><\/label><\/div>\nE.<\/i>Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 4 of 10<\/p>\n<\/div>\n\nQuestion 5 of 10<\/p>\n\n\n5. <\/span>QUESTION 5<\/u><\/strong><\/p>\n If y = x<\/sup>\u20445<\/sub>, then what is the ratio of 2x to 3y?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>2<\/sup>\u204415<\/sub><\/span><\/label><\/div>\nB.<\/i>3<\/sup>\u204410<\/sub><\/span><\/label><\/div>\nC.<\/i>3<\/sup>\u20442<\/sub><\/span><\/label><\/div>\nD.<\/i>10<\/sup>\u20443<\/sub><\/span><\/label><\/div>\nE.<\/i>15<\/sup>\u20442<\/sub><\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 5 of 10<\/p>\n<\/div>\n\nQuestion 6 of 10<\/p>\n\n\n6. <\/span>QUESTION 6<\/u><\/strong><\/p>\nFor the first 5 hours of a trip, a plane averaged 120 kilometers per hour. For the remainder of the trip, the plane travelled an average speed of 180 kilometers per hour. If the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>15<\/span><\/label><\/div>\nB.<\/i>20<\/span><\/label><\/div>\nC.<\/i>25<\/span><\/label><\/div>\nD.<\/i>30<\/span><\/label><\/div>\nE.<\/i>35<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 6 of 10<\/p>\n<\/div>\n\nQuestion 7 of 10<\/p>\n\n\n7. <\/span>QUESTION 7<\/u><\/strong><\/p>\nQ = x3<\/sup> \u2212 x<\/p>\nGiven that x is a positive integer such that x \u2265 75, which of the following is the remainder when Q is divided by 6?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>0<\/span><\/label><\/div>\nB.<\/i>1<\/span><\/label><\/div>\nC.<\/i>3<\/span><\/label><\/div>\nD.<\/i>5<\/span><\/label><\/div>\nE.<\/i>Cannot be determined by the information provided.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 7 of 10<\/p>\n<\/div>\n\nQuestion 8 of 10<\/p>\n\n\n8. <\/span>QUESTION 8<\/u><\/strong><\/p>\nTen students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?\n<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>62<\/span><\/label><\/div>\nB.<\/i>65<\/span><\/label><\/div>\nC.<\/i>71<\/span><\/label><\/div>\nD.<\/i>76<\/span><\/label><\/div>\nE.<\/i>83<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 8 of 10<\/p>\n<\/div>\n\nQuestion 9 of 10<\/p>\n\n\n9. <\/span>QUESTION 9<\/u><\/strong><\/p>\nIs a<\/strong> positive?<\/p>\n(1) a6<\/sup> > a<\/p>\n(2) a5<\/sup> > a<\/p>\n<\/div>\n<\/div>\n\n
\u00a0<\/p>\n<\/div>\n
Question 1 of 10<\/p>\n
A class contains boys and girls. What is the probability of selecting a boy from the class?<\/p>\n
(1) there are 35 students in the class<\/p>\n
(2) the ratio of boys to girls is 3:4<\/p>\n
<\/div>\n
Question 1 of 10<\/p>\n<\/div>\n
Question 2 of 10<\/p>\n
The Townville museum was open for 7 consecutive days. If the number of visitors each day was 3 greater than the previous day, how many visitors were there on the first day?<\/p>\n
(1) There were a total of 126 visitors for the 7 days.<\/p>\n
(2) The number of visitors on the seventh day was three times the number of visitors on the first day.<\/p>\n
Question 2 of 10<\/p>\n<\/div>\n
Question 3 of 10<\/p>\n
If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio of the area of triangle DEC to the area of rectangle ABCD ?<\/p>\n
Note:<\/u> Figure not drawn to scale<\/p>\n
<\/p>\n<\/div>\n
Question 3 of 10<\/p>\n<\/div>\n
Question 4 of 10<\/p>\n
\u00a0At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape?<\/p>\n
(1) The price of one paintbrush is three times the price of one roll of tape.<\/p>\n
(2) The total cost of 6 rolls of tape and 3 paintbrushes is $18.75.<\/p>\n
Question 4 of 10<\/p>\n<\/div>\n
Question 5 of 10<\/p>\n
If y = x<\/sup>\u20445<\/sub>, then what is the ratio of 2x to 3y?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>2<\/sup>\u204415<\/sub><\/span><\/label><\/div>\nB.<\/i>3<\/sup>\u204410<\/sub><\/span><\/label><\/div>\nC.<\/i>3<\/sup>\u20442<\/sub><\/span><\/label><\/div>\nD.<\/i>10<\/sup>\u20443<\/sub><\/span><\/label><\/div>\nE.<\/i>15<\/sup>\u20442<\/sub><\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 5 of 10<\/p>\n<\/div>\n\nQuestion 6 of 10<\/p>\n\n\n6. <\/span>QUESTION 6<\/u><\/strong><\/p>\nFor the first 5 hours of a trip, a plane averaged 120 kilometers per hour. For the remainder of the trip, the plane travelled an average speed of 180 kilometers per hour. If the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>15<\/span><\/label><\/div>\nB.<\/i>20<\/span><\/label><\/div>\nC.<\/i>25<\/span><\/label><\/div>\nD.<\/i>30<\/span><\/label><\/div>\nE.<\/i>35<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 6 of 10<\/p>\n<\/div>\n\nQuestion 7 of 10<\/p>\n\n\n7. <\/span>QUESTION 7<\/u><\/strong><\/p>\nQ = x3<\/sup> \u2212 x<\/p>\nGiven that x is a positive integer such that x \u2265 75, which of the following is the remainder when Q is divided by 6?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>0<\/span><\/label><\/div>\nB.<\/i>1<\/span><\/label><\/div>\nC.<\/i>3<\/span><\/label><\/div>\nD.<\/i>5<\/span><\/label><\/div>\nE.<\/i>Cannot be determined by the information provided.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 7 of 10<\/p>\n<\/div>\n\nQuestion 8 of 10<\/p>\n\n\n8. <\/span>QUESTION 8<\/u><\/strong><\/p>\nTen students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?\n<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>62<\/span><\/label><\/div>\nB.<\/i>65<\/span><\/label><\/div>\nC.<\/i>71<\/span><\/label><\/div>\nD.<\/i>76<\/span><\/label><\/div>\nE.<\/i>83<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 8 of 10<\/p>\n<\/div>\n\nQuestion 9 of 10<\/p>\n\n\n9. <\/span>QUESTION 9<\/u><\/strong><\/p>\nIs a<\/strong> positive?<\/p>\n(1) a6<\/sup> > a<\/p>\n(2) a5<\/sup> > a<\/p>\n<\/div>\n<\/div>\n\n
Question 5 of 10<\/p>\n<\/div>\n
Question 6 of 10<\/p>\n
For the first 5 hours of a trip, a plane averaged 120 kilometers per hour. For the remainder of the trip, the plane travelled an average speed of 180 kilometers per hour. If the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip?<\/p>\n
Question 6 of 10<\/p>\n<\/div>\n
Question 7 of 10<\/p>\n
Q = x3<\/sup> \u2212 x<\/p>\nGiven that x is a positive integer such that x \u2265 75, which of the following is the remainder when Q is divided by 6?<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>0<\/span><\/label><\/div>\nB.<\/i>1<\/span><\/label><\/div>\nC.<\/i>3<\/span><\/label><\/div>\nD.<\/i>5<\/span><\/label><\/div>\nE.<\/i>Cannot be determined by the information provided.<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 7 of 10<\/p>\n<\/div>\n\nQuestion 8 of 10<\/p>\n\n\n8. <\/span>QUESTION 8<\/u><\/strong><\/p>\nTen students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?\n<\/p>\n<\/div>\n<\/div>\n\nA.<\/i>62<\/span><\/label><\/div>\nB.<\/i>65<\/span><\/label><\/div>\nC.<\/i>71<\/span><\/label><\/div>\nD.<\/i>76<\/span><\/label><\/div>\nE.<\/i>83<\/span><\/label><\/div>\n<\/div>\n<\/div>\nQuestion 8 of 10<\/p>\n<\/div>\n\nQuestion 9 of 10<\/p>\n\n\n9. <\/span>QUESTION 9<\/u><\/strong><\/p>\nIs a<\/strong> positive?<\/p>\n(1) a6<\/sup> > a<\/p>\n(2) a5<\/sup> > a<\/p>\n<\/div>\n<\/div>\n\n
Given that x is a positive integer such that x \u2265 75, which of the following is the remainder when Q is divided by 6?<\/p>\n
Question 7 of 10<\/p>\n<\/div>\n
Question 8 of 10<\/p>\n
Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?\n<\/p>\n<\/div>\n
Question 8 of 10<\/p>\n<\/div>\n
Question 9 of 10<\/p>\n
Is a<\/strong> positive?<\/p>\n(1) a6<\/sup> > a<\/p>\n(2) a5<\/sup> > a<\/p>\n<\/div>\n<\/div>\n\n
(1) a6<\/sup> > a<\/p>\n(2) a5<\/sup> > a<\/p>\n<\/div>\n<\/div>\n\n
(2) a5<\/sup> > a<\/p>\n<\/div>\n<\/div>\n\n
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<\/p>\n\n\n <\/div>\n<\/p><\/div>\n\n\n\n1. <\/span>QUESTION 1<\/u><\/strong><\/p>\n\nA.<\/i>