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Three small cruise ships, each carrying 9 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at random to receive a gift certificate worth $35, and at Port C, one passenger will be selected at random to receive a gift certificate worth $25. How many different ways can the gift certificates be given out? |
When all the students in a school are made to stand in rows of 48, 22 such rows are formed. If the students are made to stand in rows of 34, how many such rows will be formed ? |
The average runs of a cricket player of 15 innings was 25. How many runs must he make in his next innings so as to increase his average of runs by 6? |
A watch was sold at a loss of 10%. If it was sold for Rs.540 more, there would have been a gain of 8%. What is the cost price? |
If PINTU is coded as 79523 in a certain code language, how would you code LUMBO in the same language? |
If 3s + 1 < 2s < 9 - s, which of the following must be true?
I. -1 < s < 3
II. s < -1
III. s < 3 |
There is a 30 cm line marked at each cm and an insect is placed at every cm. 9 frogs are trained to jump a constant distance. the first one jumps 2cm in every leap, second one jumps 3cm and so on till 9th one jumps 10cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 30cm, how many insects were still left after the race got over. |
Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)R can be formed using all the letters of the word “SELFIE” so that the two E’s are not together? |
A generous man set aside a certain sum of money for equal distribution weekly to the needy of his acquaintance. One day he remarked, "If there are five fewer applicants next week, you will each receive two dollars more." Unfortunately, instead of there being fewer there were actually four more persons applying for the gift. "This means," he pointed out, "that you will each receive one dollar less." How much did each person receive at that last distribution? |
From the integer n, if n*n*n is even, then what is true from below options? |
Fresh grapes contain 65% by weight while dried grapes contain 10% water by weight. What is the weight of dry grapes available from 400 kg of fresh grapes? |
The difference between the ages of a couple is 5 years. Ten years ago, the husband was twice as old as wife. The present age of the husband is |
On day one, a store sold 100 hats. On each of the next d days, the company sold 70 hats. If the average daily sales of hats over this time period (including day one) is 75 hats, what is the value of d? |
Find the selling price of goods if two salesmen claim to make 25% profit each, one calculating it on cost price while another on the selling price, the difference in the profits earned being Rs. 100 and selling price being the same in both the cases? |
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 18m/h. what is the speedof the person while he was going to his office? |
What least number must be subtracted from 9679 so that the remaining number is divisible by 15? |
A no.when divided by 242 gives a remainder 100, what remainder will be obtainedby dividingthe same no.18? |
The speed at which a boy can row a boat in still water is 60 kmph. If he rows downstream, where the speed of current is 12 kmph, what time will he take to cover 400 metres? |
The price of onions increases by 25%, by what percent should a housewife reduces the consumption so that expenditure on onions can be same as before? |
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 6 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold? |
A man purchased a grinder for Rs. 640 and sold it at a profit of 15%. The selling price is: |
In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% in both. The percentage of these who passed in both the subjects is : |
In 24 minutes, the minute hand gains over the hour hand by |
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated? |
Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 30% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate? |
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 4 kmph, then the speed of the boat in still water is : |
If x and y are positive integers such that y is a multiple of 5 and 3x + 8y = 500, then x must be a multiple of which of the following? |
A boat goes 130 km downstream in 10 hours, and 75 Km upstream in 15 hours. The speed of the stream is? |
Last year Sandy saved 6% of her annual salary. This year, she made 10% more money than last year, and she saved 8% of her salary. The amount saved this year was what percent of the amount she saved last year? |
Train J and K, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train J left at 4 pm traveling at a speed of 60 miles per hour, and train K left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other? |
The surface of a cube is 294sq cm. Find its volume? |
With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered? |
Warner Bros company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible? |
A train moves at 80kmph to reach destination point of 640km. Find the time taken to travel. |
The workforce of Company X is 40% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers? |
The triplicate ratio of 1:7 is? |
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Six years from today, the difference between the age of the boy and the combined ages of the girls will be |
What is the product of the prime numbers between 10 and 20 |
1852 - 1230 ÷ 10.00 = ? |
A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 60% above the original cost per share of stock, then interns of m for how many dollars was each share sold? |
The speed of a car is 140 km in the first hour and 40 km in the second hour. What is the average speed of the car? |
A pineapple costs Rs 7 each and a watermelon costs Rs. 5 each. If I spend Rs 38 on total what is the number of pineapple I purchased? |
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 30 percent during the third year. What is the value of the account today? |
A train 125 m long passes a man, running at 3 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? |
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit. |
Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has four times as many candies as Tina has. Rebecca has now how many candies initially? |
A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 2¢ envelopes and 3¢ envelopes. If the company requested 1 more 2¢ envelopes than 3¢ envelopes, which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ? |
A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If the median of these measurements is 3/4 times their arithmetic mean, what is the value of x? |
Evaluate 49 / .07 |
What is the remainder when 43^91 is divided by 5? |
If x = 5 - q and y = 3q - 1, then for what value of q, x is three times to y ? |
Jim’s Taxi Service charges an initial fee of $2.5 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? |
Which of the following CANNOT be the median E of the four consecutive positive integers w, x, y, and z, where w < x < y < z ? |
E individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal? |
In how many ways can live boys and three girls sit in a row such that all boys sit together? |
A fair 8-sided dice labeled 1 to 8 is tossed three times. What is the probability the value of the dice shown is 3 at least once? |
The simple interest on a sum of money will be Rs.400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? |
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1200, what is the reduced price for kg? |
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of the sky ? |
c. What number should replace the letter K?
2, 2, 4, 12, 12, 24, 72, 72, 144, 432, K |
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 20, the dividend is: |
Four representatives are to be randomly chosen from a committee of six men and six women. How many different 4-representative combinations contain at least one woman? |
Tough and Tricky questions: Word Problems.
ACT Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit? |
What is the probability of getting a queen or spade from a set of cards? |
In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 65, what is the least possible difference between n and m. |
The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 25 terms of set X? |
Set X is composed of nine numbers, labeled X1 through X9. Set Y is also composed of nine numbers, labeled Y1 through Y9. Set Y is defined as follows: Y1 = 1 + X1; Y2 = 2 + X2; and so on, including Y9 = 9 + X9. How much larger is the sum of set Y's mean and range than the sum of set X's mean and range? |
Rohit spends 40 % of his salary on food, 20% on house rent,10% on entertainment and 10% on conveyance. If his savings at the end of the month are Rs. 1500, Then his monthly salary is: |
The largest number among st the following that will perfectly divide 101^100 – 1 is: |
If x : y = 2 : 9, find the value of (2x + 2y) : (5x – y) |
If x is 13 percent greater than 80, then x = |
The average age of a family of 6 members is 22 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member? |
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)? |
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%? |
If y > 0, (4y)/20 + (3y)/10 is what percent of y? |
If the sum of two numbers is 18 and the sum of their squares is 220, then the product of the numbers is |
Eight years ago, the ratio of ages of P and Q was 5:2. Six years from now, the ratio of their ages will be 4:3. What is P's age at present? |
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B? |
A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 5 students hold membership in both organizations, how many different committee are possible? |
Which of the following is an integer?
I. 9! / 6!
II. 9! / 8!
III. 9! / 7!5! |
John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $18, what was the price before the first discount? |
Having scored 96 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings? |
Two pipes A and B can fill a tank in 10 hours and 20 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank? |
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 450-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200? |
4, 6, 12, 14, 28, 30, ? |
In a sample of books, 10 percent are 100-200 pages long, and 60 percent have more than 100 pages. What percentage of the books are more than 200 pages? |
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money? |
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours? |
A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. Both the taps are kept open for 10 minutes and then the first tap is shut off. After this, the tank will be completely filled in what time ? |
If x and y are integers and xy = 330, x or y must be divisible by which of the following? |
What will be remainder when (67^67 + 67) is divided by 68 ? |
If A : B= 3 : 5 and B : C = 7 : 9, then A : B : C is: |
The expenses of organizing a garden party increased from Rs.9000 to Rs.12000 when the number of registered candidates increased from 25 to 40. Find the total cost of organizing the party if there are 50 final registrations. |
As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 7,000 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule? |
The mass of 1 cubic meter of a substance is 300 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters) |
What will be the vulgar fraction of 0.4 |
In how many different number of ways 5 boys and 3 girls can sit on a bench such that girls always sit together. |
A man runs 1 mile at a speed of r mph. If he runs at a speed of r+20 miles per hour, he would run the same distance in 4 minutes less. What is the value of r? |
The London Racetrack needs to submit its 3 fastest horses to the Kentucky Derby out of 25 horses. However, all of their information was lost and they don't know any of the horse's times. Similarly, they all look identical so they can't remember who's fastest.
They can only race 5 horses at once, so what is the fewest number of races they can conduct to find the 3 fastest horses? |
How many positive integer solutions does the equation 8x+2y = 100 have? |
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