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The forth proportional to 15,30,45 is? |
(4 x 10^4) + (2 x 10^2) + (4 x 10) = |
Souju's age is 150% of what it was 10 years ago, but 75% of what it will be after 10 years. What is her present age? |
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car? |
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 874 in 4 years. The sum is: |
Sandy had $140 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her? |
A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 6 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour? |
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is: |
The average salary/head of all the workers ina workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workers in the work-shop is ? |
A certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the ... |
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red? |
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? |
Before leaving for his business trip, Chad asks his assistant to choose and pack four shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shir... |
A bakery currently has 8 pies and 3 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies? |
x% of y is y% of ? |
A invested some money in 10% stock at 96.If B wants to invest in an equally good 12% stock ,he must purchase a stock worth of : |
In how many Q ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct. |
4, 10, (?), 82, 244, 730 |
A motor car starts with a speed of 50km/hr with its speed increasing every 2hours by 20kmph. In how many hours will it cover 510kms? |
Three numbers are such that the Second is as much lesser than thr third as the first is lesser than the second.If the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number |
A book seller had some books. He sells 50% and still has 540 books. Originally, he had ? |
The average of 11 observations is 60. If the average of first five observations is 58 and that of the last five is 56, then the sixth observation is. |
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number ? |
John went to a shop and bought things worth Rs. 25, out of which 30 Paisa went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? |
s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits W are in s(99)? |
A train 150 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: |
A family with 1 mother, 1 father, and 3 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible |
Which of the following points falls outside of the region defined by 2y≤6x−10? |
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? |
The arithmetic mean of the set S = {6, K, 5, 11, M, 6} is 7. If K and M are integers, and K ≠ M, what is the median of the numbers in the set? |
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ? |
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% ... |
It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill one sixteenth of the dish? |
A bullet train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform? |
There was one mess for 30 boarders in a certain hostel. The number of boarders being increased by 10, the expenses of the mess were increased by Rs 40 per month while the average expenditure per head diminished by Rs 2. Find the original monthly expenses. |
In the biology lab of "Jefferson" High School there are 3.24*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish? |
A person crosses a 1440 m long street in 12 minutes. What is his speed in km per hour? |
Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a. |
There are 12 dozen mangoes in a box. If there are 25
such boxes, how many mangoes are there in all the
boxes together? |
Marge has Z candies, where Z is an integer such that 20 < Z< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children? |
9, 16, 17, 25, 36,49 |
What distance (in meters) will be covered by a bus moving at 72 km/hr in 38 seconds? |
If $200 invested at a certain rate of simple interest amounts to $240 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years? |
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements W. |
Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 222 grams of compound X? |
If positive integers x and y are not both odd, which of the following must be even? |
In a coconut grove, (x + 2) trees yield 30 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x. |
Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio T of the number of hours Ann spends driving to the meeting to the number of hours Bob spends drivin... |
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is: |
A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is? |
If a and b are negative integers, which of the following statements must be true?
I. (-a)^b is positive.
II. (-a)^(-b) is positive.
III. a^(-b) is positive. |
Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately? |
Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next five weeks be to increase his average weekly income to $500 over t... |
A certain list of 100 data has an average (arithmetic mean) of 10 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 110 data with standard deviation less than d? |
If q and k are integers whose product is 400, which of the following statements must be true? |
A certain number of workers can do a work in 65 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there? |
Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 100kmph. When will Raghu overtake Anup? |
The average score of a cricketer for eleven matches is 45 runs. If the average for first five matches is 28, then average for last six matches is |
Three table runners have a combined area of 224 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner? |
Find the missing figures: 0.3% of ? = 0.15 |
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? |
In 10 years,A will be 4 times as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is : |
If after 400 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used? |
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? |
In a certain pond, 80 fish were caught, tagged, and returned to the pond. A few days later, 80 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? |
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent? |
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 180 grams of water? |
Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 2 minute each, how soon will the tank be filled? |
If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is : |
One pump drains one-half of a pond in 1 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone? |
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent? |
Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is four miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home? |
Two numbers are in the ratio of 1 : 2. If 7 be added to both, their ratio changes to 3 : 5. The greater number is |
During a trip, Francine traveled x percent of the total distance at an average speed of 25 miles per hour and the rest of the distance at an average speed of 50 miles per hour. In terms of x, what was Francine's average speed for the entire trip? |
A train passes a station platform in 42 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? |
A 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? |
In State X, all vehicle license plates have 2 letters from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed? |
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together? |
A tyre has two punctures. The first puncture alone would have made the tyre flat in 8 minutes and the second alone would have done it in 5 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ? |
A train 110 m long is running with a speed of 24 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? |
Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 29 skiers were CPR certified and 35 were not. How many skiers tried out for the ski patrol? |
If the product of two positive integers is 60, which of the following could be the LCM and HCF of the two numbers? a. LCM 10 : HCF 6 b. LCM 30 : HCF 2 c. LCM 15 : HCF 4 |
Submarine X and Submarine Y are equipped with sonar devices that can operate within a 6,000 yard range. Submarine X remains in place while Submarine Y moves 5,400 yards south from Submarine X. Submarine Y then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the followi... |
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 70 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? |
How many different words can be formed from the word DAUGHTER so that ending and beginning letters are consonants? |
The present population of a town is 1000. Population increase rate is 25% p.a. Find the population of town after 2 years? |
In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 12 days, working 16 hours a day, the number of men required is: |
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% 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 10% more than the number there from 10 a.m. to 11 a.m. If 121 people were at the bar from 11 a.m. to 1 p.m., whi... |
An aeroplane covers a certain distance at a speed of 320 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of: |
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand S nor Brand B soap, 60 used only Brand S soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap? |
If the radius of a circle that centers at the origin is 5, how many points Q on the circle have integer coordinates? |
? x 24 = 173 x 240 |
A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives? |
A car is traveling 72 kilometers per hour. How many meters does the car travel in one minute? |
Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ? |
ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $50.50. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit? |
Light glows for every 13 seconds . How many times did it between 1:57:58 and 3:20:47 am |
Anthony and Michael sit on the six-member board of directors for company R. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony? |
There are 3 workers in the factory A, B, C. The age of A is 4 more than the age of B and the age of B is 4 more than the age of C. If the sum of the square of the ages is 1202. What is the sum of their ages? |
A painting at an art gallery is framed such that the area of the square frame is 1/3 the area of the painting itself. If the diagonal line connecting corners of the frame has a length of 12, what is the area of the painting inside the frame? |
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