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A person incurs 5% loss by selling a watch for $1140 . At what price should the watch be sold to earn 5% profit?
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In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 9,000 have been vaccinated against both, how many have been vaccinated only against rubella?
A farm has only chickens and pigs. When the manager of the farm counted the heads of the animals on the farm, the number totaled up to 95. When the number of legs was counted, the number totaled up to 274. How many more chickens than pigs are there on the farm? Note: Each pig has 4 legs and each chicken had 2 legs.
g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(a) is divisible by 4^11, what is the smallest possible value for a?
In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -
If an article is sold at 12% profit instead of 16% profit, then the profit would be Rs. 105 less. What is the cost price?
The average age of an adult class is 40years. 10 new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was the original strength of class?
A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 550 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second?
Two cars are driving towards one another. The first car is traveling at a speed of 120 Km/h, which is 28% faster than the second car. If the distance between the cars is 855 Km, how long will it takes the cars to meet (in hours)?
A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 330 items for $150 each, what will her monthly salary be?
Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
A man goes downstream at 15 kmph, and upstream8 kmph. The speed of the stream is
Difference between the length &breadth of a rectangle is 15 m. If its perimeter is 302 m, then its area is?? We have: (l - b) = 15 and 2(l + b) = 302 or (l + b) = 151?
What is the perimeter of a square with area 9p^2/64 ?
Which number is the odd one out? 9654 4832 5945 7642 7963 8216 3649
A train passes a station platform in 40 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
How many integers between 3000 and 4000 that have distinct digits and increase from left to right ?
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 37380 . What percentage of profit did he make?
The least number by which 72 must be multiplied in order to produce a multiple of 112, is
On final examination a student's average (arithmetic mean) score on 4 subjects is 90. What must be his score on a 5th subject for his average score on the 5 subjects to be 92?
If n is a natural number, then(6n^2+6n) is always divisible by?
Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 5w widgets.
In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?
Factor | Percent of Respondents | User-friendly | 56% | Fast response time | 48% | Bargain prices | 42% | The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,600 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 40% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?
If x is the median of the set {8/2, 11/3, 27/9, 21/5, x}, x could be
If a fair die is rolled three times, what is the probability that a 3 occurs on at least one roll?
Murali travelled from city A to city B at a speed of 60 kmph and from city B to city C at 40 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Evaluate permutation 3P3
1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
A certain auto manufacturer sold 6% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
If r is a positive integer and r^2 is divisible by 12, then the largest positive integer that must divide r ^3 is
If z is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of z?
A certain quantity of 70% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?
If 6x^2 + x - 12 = (ax + w)(cx + d), then |a| + |w| + |c| + |d| = For a complete solution and more practice problems, see this blog: http://magoosh.com/gmat/2012/algebra-on ... to-factor/
The average age 20 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
In traveling from a dormitory to a certain city, a student went 1/3 of the way by foot, 3/5 of the way by bus, and the remaining 2 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
In measuring the sides of a rectangle, one side is taken 6% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
The number of new words that can be formed by rearranging the letters of the word 'goat' is?
The product of two numbers is 168 and the sum of their squares is 289. The sum of the number is?
Avg cost of 2 cakes and 3 cookies is Rs.30.The avg cost of 5 cakes and 7 cookies is Rs.72. Find the total cost of 30 cakes and 30 cookies?
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
A+1/(B+1/(C+1/(D+1/E)))=1331/1000 what is the value of A*B*C*D*E ?
In Solution P, the proportion of water to alcohol is 5:2. In Solution Q, the proportion of water to alcohol is 3:2. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 38 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 42 km/h. If the distance between City P and City Q is 378 km, at what time will the truck and the car meet each other?
If 5a= 3125, then the value of 5(a-3) is
Find the ratio in which rice at Rs. 7.00 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg
How many numbers greater than a thousand can be made using the following digits without repetition: 1, 0, 3, 4, and 5:
Which of the following equations represents a line that is perpendicular to y=1/3*x+2?
What is the remainder when 2676 * 1487 * 4459 is divided by 12
Walking at 4/5 of his usual speed a man is 10 mins too late. find his usual time.
If P represents the product of the first 12 positive integers, which of the following must be true? I. P is an odd number II. P is a multiple of 26 III. P is a multiple of 17
There are 7 stores in town that had a total of 21 visitors on a particular day. However, only 11 people went shopping that day; some people visited more than one store. If 7 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited?
A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
A certain car uses one gallon of gasoline every 40 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. When a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
The ratio of two quantities is 5 to 6. If each of the quantities is increased by 2, what is the ratio of these two new quantities?
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
A company D has 30 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have?
Which of the following numbers has only one prime factor?
The average (arithmetic mean) of seven numbers is 12.2 If the sum of four of these numbers is 42.8, what is the average of the other 3 numbers?
The average of ten numbers is 7. If each number is multiplied by 12 ,then the average of new set of numbers is :
The prices of tea and coffee per kg were the same in May. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
How many prime factors in 25^10 * 36^10 * 20^10 ?
The greatest common factor of two positive integers is F. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?
Two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph. In what time will they cross each other completely?
The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 20 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Dean Winchester has got a long wooden stock of size 60 feet, he need to cut small stock of size 1 feet long using his axe. He takes 5 minutes to cut one small stock (1 feet), how long will he take to make 60 such small stocks?
If each edge of cube increased by 20%, the percentage increase in
A total of 550 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.
O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(11.6) + E(–10.4) + o(–9.2) + e(9.5) is:
After M students took a test, the average score was 66%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 68%?
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 25% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 135 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Express a speed of 54 kmph in meters per second?
A completes a work in 10 days and B complete the same work in 15 days. If both of them work together, then the number of days required to complete the work will be
A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Four people each roll a four die once. Find the probability that at least two people will roll the same number ?
In a consumer survey, 80% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 153, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (3 Ø 1) Ø 1 = ?
A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition.
A can run 1 km in 3 min. 10 sec. and B can cover the same distance in 3 min. 20 sec. By what distance can A beat B ?
Michael earns $7.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. If Michael earned $320 last week, how many hours did he work?
At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Johanna, Jamal, Brianna, and Dyson get lockers with the numbers 300, 400, 150, and 420, respectively, who is the most popular student?
The distance light travels in one year is approximately 5,870,000,000,000 miles. Find the distance light travels in 100 years?
If an object travels at ten feet per second, how many feet does it travel in one hour?
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
What is the rate percent when the simple interest on Rs.900 amount to Rs.160 in 4 Years?
A school having four classes only have student strength of 10, 50, 30 and 10 respectively. The pass percentages of these classes are 20%, 30%, 60% and 100% respectively. What is the pass percentage for the entire school?
The simple form of the ratio 2/3:2/5 is
In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-nine students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
What is the place value of 7 in the numeral 2734?
SI on a certain sum of money for 3 yrs at 8 percent /annum is 1/2 the CI on Rs.4000 for 2 yrs at 10 percent/ annum. The sum placed on SI is?
A retailer bought a hat at wholesale and marked it up 70% to its initial price of $34. By how many more dollars does he need to increase the price to achieve a 100% markup?