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Jenny received a 10% raise each month for three consecutive months. What was her salary after the three raises if her starting salary was $2,000 per month? |
A football team lost 5 yards and then gained 7. What is the team's progress? |
A train , having a length of 275 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train |
In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get? |
Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ? |
Solve for x: 2x – y = (3/4)x + 6. |
The average of 9 numbers is 7 and the average of 7 other numbers is 6. What is the average of all 16 numbers? |
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 800 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day? |
3x^2 - x - 4 = |
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of five metre is left from all sides of the boundary of the garden. What is the length of the garden? |
What number is that, to which, if its half be added, and from the sum 20 be subtracted, the remainder will be a fourth of the number itself? |
The greatest common factor of two positive integers is B. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other? |
A woman has four blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear? |
How many of the positive factors of 33 are not factors of 45? |
A box contains ten bulbs out of which 5 are defective. If five bulbs are chosen at random, find the probability that atleast one bulb is good? |
In how many ways can 5 people, A, B, C, D, E, be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other? |
A box contains 3 blue marbles, 4 red, 5 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue? |
A train 280 m long, running with a speed of 63 km/hr will pass a tree in? |
The cost of carpeting a room 18m long with a carpet 75cm wide at 45 paise per meter is Rs.81. The breadth of the room is: |
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube? |
-20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 5 greater than the preceding term. Which of the following could not be a term in the sequence? |
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? |
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed? |
It costs $2 for the first 1/6 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $15 per hour. If a certain customer uses the laundry machine for 2 hours and 25 minutes, how much will it cost him? |
The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 5 times the probability that both events A and B occur. What is the probability that event A occurs? |
If A is the set of numbers possible for the eighth term in a sequence of eight consecutive integers that has 6 as its fourth term, which of the following is A? |
Today is Monday. After 61 days, it will be |
A project manager needs to select a group of 3 people from a total of 3 men and 3 women. How many possible group combinations exist such that no group has all men ? |
I have twenty 3g stamps and twenty 5g stamps. Using one or more of these stamps, how many
different amounts of postage can I make? |
If a, b, c, and d are integers; w, x, y, and z are prime numbers; w < x < y < z; and (wa)(xb)(yc)(zd)=660(wa)(xb)(yc)(zd)=660, what is the value of (a + b) – (c + d)? |
A goods train runs at the speed of 72 km/hr and crosses a 150 m long platform in 26 sec. What is the length of the goods train? |
A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook? |
If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 6-letter code words? |
What is 120% of 13/24 of 960? |
A man can row 40km upstream and 55km downstream in 13 hours also, he can row 30km upstream and 44km downstream in 10 hours. find the speed of the man in still water and the speed of the current. |
A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing? |
A train passes a station platform in 36 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? |
If p#q denotes the least common multiple of p and q, then T=((12#16)#(18#24)) = ? |
In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 4 rows in all and a total of 134 bricks in the wall, how many bricks does the bottom row contain ? |
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000? |
Machine A can finish a job in 6 hours, Machine В can finish the job in 12 hours, and Machine С can finish the job in 8 hours. How many hours will it take for A, B, and С together to finish the job? |
How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ? |
Diesel costs Rs.4 per lit and petrol costs 6.83 per litre. If the price of diesel rise by 10% a month and the price of petrol is unchanged.How many months will it take until a litre of Diesel costs more than a litre of petrol. |
y = 248 - 343x
Which of the following values of x gives the greatest value of y in the equation above? |
Reena took a loan of 1000 with simple interest for as many years as the rate of interest. If she paid 40 as interest at the end of the loan period, what was the rate of interest? |
Evaluate 28% of 450 + 45% of 280 |
If a:b = 4:1, then find (a - 3b)/(2a - b)? |
In a car wheel, two spokes cover 10 degree. Then for the entire car,how many spokes are there? |
If one-third of one-fourth of a number is 15, then three-tenth of that number is |
If x and y are both integers such that 41y = 36x and y is not negative, which of the following must be true?
(i) x is prime
(ii) y is even
(iii) xy is positive |
A certain company has budgeted $1560 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $420, how much was the company under budget or over budget? |
In a consignment of eggs 552 were cracked, which was 12 percent of the total consignment. How many eggs were in the consignment? |
P,Q and R together earn Rs.1800 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day? |
A certain meter records voltage between 0 and 10 volts inclusive. If the average value of 3 recordings on the meter was 6 volts, what was the smallest possible recording in volts? |
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become nine times at the same rate? |
A and B start from house at 10am. They travel on the MG road at 20kmph and 40 kmph. there is a Junction T on their path. A turns left at T junction at 12:00 noon, B reaches T earlier, and turns right. Both of them continue to travel till 2pm. What is the distance between A and B at 2 pm |
A car salesman earns a base salary of $800 per month plus a commission of $200 for each car he sells. If the car salesman earned $2600 in September, how many cars does he need to sell in October in order to double his September earnings? |
What is the place value of 2 in the numeral 12734? |
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: |
In how many different number of ways a Committee of 3 person of can be selected from 5 boys and 3 girls such that at least 1 girl is included in the committee |
A car gets 32 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified? |
When Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?. |
Twelve animals of a circus has to be placed inside in twelve cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal. |
There are 45 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs? |
A certain number when divided by 110 leaves a remainder 25, what is the remainder if the same no.be divided by 15? |
Alpha, Beta and Gamma are inner angles in a triangle. If Alpha = Beta + Gamma, what can't be the size of Beta? |
The sum of the squares of three consecutive odd numbers is 2531.Find the
numbers. |
Mrs. Napier has 45 stickers to give to 7 students for a reward. How many
stickers will each student get? Will there be any stickers left over? |
What is the probability that an integer selected randomly from 101 to 550, inclusive, begins with 1, 2, or 3, and ends with 4, 5, or 6? |
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives: |
Robert left from a Pvt Company. Management hold his salary Rs. 15000/- for one month. Earlier Robert borrowed Rs. 7280/- from company. But Robert forget that. After one month Robert asked his salary and accountant gives Rs.18500/- to him. What is the incentive amount given to Robert? |
How many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph? |
How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution? |
How many 4-digit B numbers (ABCD) can be formed such that |A – D| = 2? |
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons? |
The ratio between the speeds of two trains is 3 : 5. If the second train runs 500 kms in 4 hours, then the speed of the first train is |
Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x? |
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 11 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? |
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 16. Find their present ages (in years). |
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 |
What percent is 7 gm of 1 kg? |
Three consecutive even numbers are such that thrice the first number exceeds double the third number by six. What is the third number? |
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? |
Sum of the numbers from 1 to 20 is |
Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey? |
A ship sails 4 degrees north, then 13 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ? |
Find the simple interest on Rs. 73,000 at 16 2/3% per year for 9 months. |
A plant manager must assign 10 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers? |
Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.? |
7^6n -1^ 6n When n is an integer > 0 is divisible by |
An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product? |
The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is |
Which one of the following is not a prime number? |
90, 180, 12, 50, 100, 120, ?, 3, 30, 4, 25, 2, 6, 30, 3 |
The average student age of a certain class which has 45 students is 14. If one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66. What is the age of class teacher? |
A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded? |
Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money W would he earn per month? |
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 25 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars? |
In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $70,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000? |
In a consumer survey, 88% of those surveyed liked at least one of three products: 1, 2, and 3. 55% of those asked liked product 1, 40% liked product 2, and 20% liked product 3. If 7% 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? |
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