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Carolyn bought 17 gumballs, Lew bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
10,12,15,20,27,?
The mean of 50 observations was 36. It was found later that an observation 46 was wrongly taken as 23. The corrected new mean is
Danny can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Danny has in his herd?
There are two concentric circles with radii 10 and 6. If the radius of the outer circle is increased by 20% and the radius of the inner circle decreased by 50%, by what percent does the area between the circles increase?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2002, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer?
Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Two trains of equal lengths take 15 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
If YWVSQ is 25 - 23 - 21 - 19 - 11, Then MKIGF
A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
20 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
A train is 288 meter long is running at a speed of 29 km/hour. In what time will it pass a bridge of 101 meter length?
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,715 minutes earlier? (Assume standard time in one location.)
If 3 cats can kill 3 rats in 3 minutes, how long will it take 100 cats to kill 100 rats?
If y exceeds x by 25%, then x is less than y by?
Difference of 2 parallel sides ofa trapezium is 4cm. perpendicular distance between them is 10cm. If the area of the trapezium is 250cm^2. Find the lengths of the parallel side?
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
In a straight highway 2 cars starts from the same point in opposite directions each travels for 8 Kms and take left turn then travel for 6 Kms what is the distance between them now.
The distance between two towns is 380 km. At the same moment, a passenger car and a truck start moving towards each other from different towns. They meet 4 hours later. If the car drives 5 km/hr faster than the truck, what are their speeds?
In a race with 5 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded?
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:
An article sold at a profit of 20% if both the cost price and selling price would be Rs.20/- the profit would be 10% more. What is the cost price of that article?
The sum of three consecutive multiples of 3 is 117. What is the largest number?
A train running at the speed of 30 km/hr crosses a pole in 12 seconds. What is the length of the train?
A man sells two articles for Rs.3600 each and he gains 25% on the first and loses 25% on the next. Find his total gain or loss?
The probability of shooting a target increases after a certain skill is enhanced and is equal to the new probability of NOT shooting the target. Given this fact, which of the following must be false?
A man can row downstream at the rate of 32 Kmph and upstream at 17 Kmph. Find the man’s rate in still water and rate of current?
Edward earns $7.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. If Michael earned $210 last week, how many hours did he work?
The price of lunch for 10 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Which of the following inequalities is always true for any real number 'a' and 'b'?
S = {2, 3, 4, 5} B = {4, 5, 6, 7, 8} Two integers will be randomly selected from the sets above, one integer from set S and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
What will come in place of the x in the following Number series? 5,28,57,88,125
One train is traveling 36 kmph and other is at 12.5 meters a second. Ratio of the speed of the two trains is?
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Find the unit's digit in 264^102 +264^103
If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:
You had a math quiz at class. The quiz had 5 questions; three of them have 3 marks each, and the other two have 4 marks each. You managed to correctly solve 2 questions with the 3 marks and one question with the 4 marks. What is the percentage of the marks that you got in this quiz?
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 92.16, the number of the member is the group is:
There are 660 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
For any positive number x, the function [x] denotes the greatest integer less than or equal to x. For example, [1] = 1, [1.367] = 1 and [1.988] = 1. If k is a positive integer such that k^2 is divisible by 45 and 80, what is the units digit of k^3/4000 ?
Isabelle decided to go on an 8 mile run in which she ran from home to the school four miles away and then back the same route. The first four miles took her 40 minutes to complete, and the returning four miles took her 24 mins to complete. What was the wind speed in mph?
Four of the following five numbered parts (a), (b), (c), (d) and (e) are equal. The number of the part which is not equal to the other four parts is the answer.
If m and n are positive integers of W such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
A rectangular Box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
A clock store sold a certain clock to a collector for 35 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 15 percent of what the collector had paid. The shop then sold the clock again at a profit of 65 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $105, for how much did the shop sell the clock the second time?
The area of an isosceles trapezoid with sides of length 5 and bases of length 6 and 12 is?
Two tains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
The probability that a computer company will get a computer hardware contract is 3/4 and the probability that it will not get a software contract is 5/9. If the probability of getting at least one contract is 4/5, what is the probability that it will get both the contracts?
Tough and Tricky questions: Word Problems. AK 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?
How many consonants are present between the first and third vowel in the sequence of English alphabet ?
In how many ways the word "PACK" can be arranged?
Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.82. What is the median gasoline price?
A cat leaps 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
A train crosses a platform in 15 sec, same train crosses another platform of length 250 m in 20 sec. If the speed of the train is 15 m/sec then find the length of the platform?
Define A = The sum of digits of the number 7^100 and B = The sum of the digits of A. What is the sum of the digits of B?
A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/4 chance that engine one will fail. There is a 75% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?
A store raised the price of an item by exactly 20 percent. Which of the following could NOT be the resulting price of the item?
A departmental store charges the commission of 25 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 112 km downstream
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
The sum of five consecutive even numbers is 500. Find the middle number of the five?
One vessel contains a mixture of 4 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of the wine.
A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent W should the number of hours worked be increased?
A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
There are 21 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both. How many are Bare Feet ?
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70, then how long is the base of isosceles triangle?
In a firm there are men and cows. In all, there are 21 heads and 64 feet. How many men and how many cows are in the firm?
In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 80% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected?
If a and b are different positive integers and a + b = a(a + b+1), then which of the following must be true? I. a = 1 II. b = 1 III. a < b
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $450, what were her original savings?
A is thrice as good a work man as B and together they finish a piece of work in 16 days.The number of days taken by B alone to finish the work is :
Sunil invested $ 2300 fir 3 years and $ 800 for 4 years at the same rate of Simple Interest. If the total interest from these investments is $ 1350, what is the rate of interest?
A cylindrical water tower with radius 15 m and height 4 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank?
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Thirty five percent of the portfolios managed by the Crocodile Brokers company (C.B.C.) hold Hatsopoulos stocks. Forty percent of the portfolios managed by C.B.C. hold McQuarrie stocks and do not hold Hatsopoulos stocks. Fifteen percent of the portfolios managed by C.B.C. hold Hatsopoulos stocks and do not hold McQuarrie stocks. What percent of the portfolios managed by C.B.C. do NOT hold McQuarrie stocks?
The population of a town increased from 1,75,000 to 2,45,000 in a decade. The average percent increase of population per year is
Find the value of x from the below equation? : 3x^2+5x+2 = 0
3 candidates in an election and received 3000, 5000 and 20000 votes respectively. What % of the total votes did the winningcandidate got in that election?
C and D started a business by investing Rs.1000/- and Rs.1500/- respectively. Find the D’s share out of a total profit of Rs.500:
x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 7 will be equal to:
Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
If x,y and z are positive integers, and 30x=35y=42z, then which of the following must be divisible by 3? I. x II. y III. z
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
The dairy condensed milk has only 20% water while the cow milk has 90% water. How many litres of milk maid will be obtained from 72 litres of milk?
The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, white,blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
11 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally q% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
A man rows down stream 40 km and upstream 21 km taking 4 hrs each time. what is the velocity of current?
If eight numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6, 7, 8}, what is the probability that the numbers are selected in ascending order?
Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on friday. They were very happy. What day of the week would come on 14 Feb. 2010?
Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 20 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?

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