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Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many D hours does it currently take Anne to clean the house on her own? |
The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 50 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool? |
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay? |
A certain Dark Blue paint contains 40 percent blue pigment and 60 percent red pigment by weight. A certain green paint contains 40 percent blue pigment and 60 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 gram... |
In a sale, a discount of 15% was available on all the articles. If Vinit purchased an article for Rs.4284 in the sale. What was the actual selling price of the article? |
A certain protective additive increases from 25 days to 30 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive? |
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 40 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 ? |
Solution A is 40% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution? |
How many integers between 334,700 and 458,600 have tens digit 1 and units digit 3? |
Homer wants to read 2 books from his collection. He has 6 adventure books and 4 horror books. He chooses 2 books randomly and simultaneously. What is the probability that he chose 1 adventure book and 1 horror book? |
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train? |
90% of the labours of a factory is 2700. The total labours of the factory is? |
The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar? |
At a meeting of 10 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table? |
In what time will a train 40 m long cross an electric pole, it its speed be 144 km/hr? |
John had a stock of 800 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold? |
In the first quarter of 2008, Harry's Hardware Store sold 300 hammers and 12,000 nails. In the second quarter of 2008, the store sold 375 hammers and 18,000 nails. By approximately what percent did the ratio of hammers sold to nails sold decrease from the first quarter to the second quarter. |
Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time? |
A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $5,630. By how much was the project over its budget? |
P is three times as fast as Q and working together, they can complete a work in 10 days. In how many days can Q alone complete the work? |
The average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? |
How many even integers n, such that 20<=n<=220 are of the form 3k+4, where k is any natural number? |
John has 10 pairs of matched socks. If he loses 5 individual socks, what is the greatest number of pairs of matched socks he can have left? |
If a copier makes 5 copies every 5 seconds, then continues at this rate, how many minutes will it take to make 6,000 copies? |
Souju's age is 125% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is her present age? |
e. Janet has to pay back her bank loan over 11 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, $125, $140, ?
How much will she pay back on the eleventh month? |
If a survey shows that 30 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill? |
A football team lost 5 yards and then gained 13. What is the team's progress? |
The average weight of 10 girls increases by 5 kg when a new girl comes in place of one of them weighing 50 kg. What might be the weight of the new girl? |
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 3 more than the average expenditure of all the nine. The total money spent by all of them was |
In a sports club with 30 members, 17 play badminton and 21 play tennis and 2 do not play either. How many members play both badminton and tennis? |
How many three letter words are formed using the letters of the word TIME? |
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? |
If y>x>0, which of the following must be true:
I. x^2>y^2
II. x^3 > y^3
III. |x|<y |
A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type? |
A person borrows 1000000 for 7 years at 3% p.a. simple interest. He immediately lends it to another person at 5 % p.a. for 7 years. Find his gain in the transaction per year. |
61 + 5 * 12 / (180/3) = ? |
Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number? |
A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride ... |
Today my car meter reads as 72227 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom. |
A man crosses a 600 m long street in 5 minutes. What is his speed in km per hour? |
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 36 days. If 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last? |
The average age 10 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number? |
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? |
Kelly and Jody packed boxes with books. If Jody packed 30% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed? |
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through how much? |
A plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD? |
The cost of 5 kgs. of sugar is Rs.279. What is the cost of 1 kg of sugar? |
By how much is three-fifth of 350 greater than four- seventh of 210 ? |
What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.? |
Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 80 watch exactly two channels. How many watch exactly one channel? |
A bag contains 4 yellow, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls? |
Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit ... |
How many integers from 0 to 56, inclusive, have a remainder of 1 when divided by 3 ? |
How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months? |
N number of persons decide to raise 3 lakhs by equal contributions from each. If they contributed 50 each extra, the contribution would be 3.25 lakhs. How many persons are there? |
If the sales tax be reduced from 4 (1/3) % to 2 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 8000? |
In how many ways can you seat 8 people on a bench if one of them does not want to sit in one of the two middle seats or at either end? |
Express 25 mps in kmph? |
How many odd factors does 250 have? |
A mirror 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches? |
If the perimeter of a rectangular garden is 700 m, its length when its breadth is 100 m is? |
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds Q that it is an ace? |
A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 10 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes... |
In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B? |
Boy purchased two flats for Rs.5,00,000. On one he gains 15 % while on the other he losses 15%. How much does he gain or lose? |
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is: |
A no.when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no.17? |
How many cuboids of length 5 m, width 4 m and height 3 m can be farmed from a cuboid of 16 m length, 10 m width and 12 m height. |
A school has received 50% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to comple... |
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a × b × c < a^3
II. 5b < bc
III. a + b + c > a^3 |
Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase... |
72 hens cost Rs. __ 96.7__. Then what does each hen cost, where two digits in place of ‘__’ are not visible or are written in illegible hand? |
what is the nearest no. to 2304 which is divisible by 21? |
A manufacturer of a certain type of screw rejects any screw whose length is less than 2.47 centimeters or greater than 2.53 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable? |
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present? |
The least perfect square, which is divisible by each of 21, 36 and 66 is |
What is the perimeter of a triangle with sides 7 and 4 that has the maximum possible area? |
A certain collage has total of 700 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects? |
If 20% of a = b, then b% of 20 is the same as: |
If (1+y)x=xwhich of the following must be true? |
If −2≤e≤0 and n > 19, which of the following CANNOT be the value of en? |
A 8% stock yielding 10% is quoted at : |
A women paid $1650 a year in interest on a loan with an annual rate of 11%. How w\much more money could she have borrowed for the same amount of interest if she had been able to get a loan amount with an annual rate of 10%? |
Train A left station T at 3:30 p.m. and traveled on straight tracks at a constant speed of 60 miles per hour. Train B left station T on adjacent straight tracks in the same direction that train A traveled on. Train B left station T 40 minutes after train A, and traveled at a constant speed of 75 miles per hour. Train B... |
An error 2% in excess is made while measuring the side of asquare. The % of error in the calculated area of the square is? |
Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 38 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture? |
What is the unit digit in (4137)754? |
If x and y are integers and x + y = 6, which of the following must be true? |
The greatest possible length which can be used to measure exactly the length 6m, 3m 85cm, 12 m 95 cm is |
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone. |
The probability of having a girl is identical to the probability of having a boy. In a family with four children, what is the probability that all the children are of the same gender? |
The sum of two consecutive number is 67. Which is the larger number? |
A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train? |
Simplify (3^y + 3^y + 3^y) (3^y + 3^y + 3^y) |
A circular well with a diameter of 2 meters, is dug to a depth of 14 meters. What is the volume of the earth dug out. |
D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 144:25 and BC=13 cm, then find the length of DE. |
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good? |
Which of the following inequalities is always true for any non-negative real number 'x' and 'y'? |
The number 83 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers? |
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