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An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 3 different packages, with an average (arithmetic mean) of 10 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 8 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
A box contains nine slips that are each labeled with one number: 1, 2, 3, 5, 8, 21, 34 and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
A truck uses 60-gallon fuel tank wants to travel to Cleveland, which is 480 miles away. The driver recognizes that the current engine, which can travel only 10 miles per gallon, will not get him there. By how many miles per gallon of fuel efficiency be improved to make the truck to Cleveland possible?
The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 6 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
How much is 65% of 40 is greater than 4/5 of 25?
A and B together have Sterling 1250. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
At a party, there were two times as many females as males and same times as many adults as children. Which of the following could NOT be the number of people at the party?
A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 10hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
Tom is having a cookout. 9 people want steak, 27 people want grilled chicken breast, and 13 people want bratwurst. Each steak cost $21.00, each chicken breast cost $3.24, and each bratwurst cost $4.30. What is the average price per piece of meat Tom paid?
If the sum of three consecutive positive integers is A, then the sum of the next five consecutive integers in terms of A is:
Jim’s Taxi Service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 90 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 4:6. If 40% of the Toyota bought and 60% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned purchase?
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 2 days. For how many number of days should A and C should work together to complete the remaining work ?
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 680. The number of hares in the zoo is?
Find the sum of first 89 odd numbers
What number should replace the question mark? 123, 124, 126, 132, 133, 136, 142, 143, 147, ?
Statement: An amount of money was lent for 3yrs. What will be the difference between the simple and the CI earned on it at the same rate? Conclusion: 1) The rate of interest was 8 p.c.p.a. 2) The total amount of simple interest was Rs. 1200
A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 50 percent.
The annual interest rate earned by an investment increased by 8 percent from last year to this year. If the annual interest rate earned by the investment this year was 27 percent, what was the annual interest rate last year?
A start walking from a place at a uniform speed of 6 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 19% home electronics; 10% food additives; 24% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Three numbers are in the ratio 1:2:4 and their H.C.F is 6. The numbers are?
A train 180 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
The income of a company increases 30% per annum. If its income is Rs 26,64,000 in the year 1999, what was its income in the year 1997?
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 50, how many horses are there ?
There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.30 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A group of 6 children and 10 adults are going to the zoo. Child tickets cost $10, and adult tickets cost $16. How much will the zoo tickets cost in all?
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 3 and 4 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
what is a percent of b divided by b percent of a?
A and B invests Rs.3000 and Rs.6500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
If 1/a^2 + a^2 represents the diameter of circle O and 1/a + 2a = 3, which of the following best approximates the circumference of circle O?
The contents of a certain box consist of 48 apples and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be apples?
3 letters have to be put into their 3 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes?
A number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a. What is the greatest two digit prime saturated integer ?
If x-1 – 1 is divided by x - 1 the quotient is:
Two trains of equal are running on parallel lines in the same direction at 44 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
If two sides of a triangle are 5 and 12, respectively, which of the following could NOT be the area of this triangle?
You and your friend spent a total of $11 for lunch. Your friend spent $3 more than you. How much did your friend spend on their lunch?
The ratio between the sale price and the cost price of an article is 9:7. What is the ratio between the profit and the cost price of that article?
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
In how many different number of ways 3 boys and 1 girls can sit on a bench?
On my sister’s 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous year?
Average of all prime numbers between 25 to 50
Weights of two friends Ram and Shyam are in the ratio 6:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 324 different signs. If the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 324 signs?
If 5 cats can kill 5 rats in 5 minutes, how long will it take 100 cats to kill 100 rats?
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
If 6x^2 + x - 12 = (qx + b)(cx + d), then |q| + |b| + |c| + |d| = For a complete solution and more practice problems, see this blog: http://magoosh.com/gmat/2012/algebra-on ... to-factor/
A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15 km toward the right and finally travels 5km towards the east, how far is he from his starting place?
If n = 20! + 15, then n is divisible by which of the following? I. 15 II. 17 III. 19
Jack has three more cards than Bill. Together they have 47 cards. If x represents the number of cards Bill has, then an equation that can be used to determine the number of cards each one has is
A key ring has 7 keys. How many different ways can they be arranged?
If a class of 10 students has three men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
A trader bought a car at 20% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price?
The number of positive integer solutions for the equation x +y +z + t = 15 is
A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 40 years now, the son's age 10 years back was?
A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 10 cents?
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 5 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
From a pack of 52 cards, one card is drawn. What is the probability that the card drawn is a queen of club or a king of heart?
Divide $100 among W,X in the ratio 3:7. How many $ that X get?
3, 12, 7, 26, 15, ?
A box contains 12 marbles of three different colours green, yellow and blue---4 each. If you were to close your eyes and pick them at random, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out?
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Jim drove 642 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
How many boxes do you need if you have to pack 1080 apples into cases that each hold one dozen apples ?
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Barbara, Becky and Beth dressed up as princesses for Halloween. One was Snow White. One was Sleeping Beauty. One was Cinderella. Becky is not Sleeping Beauty and she went trick-or-treating with Snow White. Beth and Sleeping Beauty are sisters. Who is Snow White?
If y is an integer, then the least possible value of |32 - 7y| is
A can do a piece of work in 4hours. B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
On dividing 17698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
In a bag, there are two 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?
A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 22 years. What is the age of Deepak at present?
How many numbers from 29 to 79 are exactly divisible by 11?
In the equation 2x – cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 5 ?
the age of a and b are in the ratio 4:5 and of b and c in the ratio 3:2.the youngedt of three is
Average of first five multiples of 5 is
5 blue marbles, 3 red marbles and 4 purple marbles are placed in a bag. If 4 marbles are drawn without replacement, what is the probability that the resu lt will not be 2 blue and 2 purple marbles?
Number of prime numbers between 15 and 45 is
A, B, C together started a business. A invested Rs.2000 for 5 months B invested Rs.2500 for 6 months and C Rs.3000 for 3 months. If they get a total profit of Rs.3400. Find the share of A?
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 30 sec. What is the length of the goods train?
The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 15 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view?
A and B can do a piece of work in 10 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
What is the square root of 16?
Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
In how many ways can 7 boys and 4 girls sit around a table in such a way that no two girls sit together?
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 240 m long?
If r and s are even integers, which of the following is an odd integer?
By selling 110 mangoes, a fruit-seller gains the selling price of 20 mangoes. Find the gain percent?
On three consecutive flips of a coin, what is the probability that all three produce the same result?
Alex takes a loan of $4,000 to buy a used truck at the rate of 6 % simple Interest.Calculate the annual interest to be paid for the loan amount.