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Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers u did Carl drive each way?
Income and expenditure of a person are in the ratio 7 : 6. If the income of the person is Rs. 21000, then find his savings?
How many terminating zeroes E does 200! have?
At a certain conference, 150 students spoke one or more of the following languages: Spanish, English, and French. If 57 students spoke Spanish, 90 spoke English, 65 spoke French, and 32 spoke only 2 languages, how many students spoke three different languages?
Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 50 hours. If Harry and James were ...
A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among six colors produced enough color codes to identify all but 5 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in...
If the average (arithmetic mean) of three consecutive integers is k + 1, then the product of the greatest and least integer is
A train speeds past a pole in 15 sec and a platform 140 m long in 25 sec, its length is?
If x^y denotes x raised to the power y, Find last two digits of (1141^3843) + (1961^4181)
Which number need to add to 1782452 to get a number exactly divisible by 92?
When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 70% of his regular speed, then
Find the least number must be subtracted from 165826 so that remaining no.is divisible by 4?
Of the families in City X in 2000, 30 percent owned a personal computer. The number of families in City X owning a computer in 2004 was 20 percent greater than it was in 1994, and the total number of families in City X was 10 percent greater in 2004 than it was in 2000. what percent of the families in City X owned a pe...
3-3*8+2=
At 30 minutes past 6 o'clock, what is the angle between the two hands?
The number of students in a classroom are a multiple of both 5 and 15.what is the possible total number of students?
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 -.
There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 11,000 after 3 years at the same rate?
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 3 cups of tea. Last week Mo drank a total of 20 cups of tea and hot chocolate together. If during that week Mo drank 10 more tea cups than hot chocolate cups, then how many rainy...
Find the average of first 7 multiples of 5?
Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $500 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $605 as interest. What was the annual rate of interest?
Shobha's Mathematics Test had 75 problems i.e. 10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra and 60% 0f the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions she would ...
A train moves past a post and a platform 264 metre long in 8 seconds and 20 seconds respectively. What is the speed of the train
Six machines at a certain factory operate at the same constant rate. If five of these machines, operating simultaneously, take 36 hours to fill a certain production order, how many fewer hours does it take all six machines, operating simultaneously, to fill the same production order?
A thief steals at a car at 2.30 p.m. and drives it at 50 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
120 students represent x percent of the boys at a school. If the boys at the school make up 30% of the total school population of x students, what is x?
20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?
In a class of boys and girls Vikas's rank is 9th and Tanvi's rank is 17th . Vikas's rank among the boys in that class is 4th from the top and 18th from the bottom and Tanvi's rank among the girls is 8th from top and 21st from bottom. In the order of rank, how many girls are there between Tanvi and Vikas?
If x3−6x2+11x−6=0x3−6x2+11x−6=0 and x3+3x2−6x−8=0x3+3x2−6x−8=0 have one common root between them. What is the value of that root?
If in a book a total of 3209 digits are used for numbering, then find out the total number of pages in the book.
Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
A man buy a book in Rs50 & sale it Rs80. What is the rate of profit ???
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 2500 more than D, what is B's share?
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?
A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. In how many hours B can complete the work ?
What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?
In the xy-coordinate system, what is the slope of the line that goes through the point (7, 3) and is equidistant from the two points P = (5, 5) and Q = (13, 7)?
The radius of a wheel is 22.6 cm. What is the distance covered by the wheel in making 750 resolutions?
A bullet train passes a station platform in 36 seconds and a man standing on the platform in 22 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
How many times are the hands of a clock at right angle in a week?
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
If five students are made to sit in a row, then 6 don't have seats. If 12 students are made to sit in a row, then three rows are empty. How many students have to sit a row such that each row has equal number of students and all students are seated?
Machine Z and machine B are each used to manufacture 660 sprockets. It takes machine Z 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine Z. How many sprockets per hour does machine Z produces?
If an object travels at four feet per second, how many feet does it travel in one hour?
A table is bought for Rs.400/- and sold at Rs.250/- find gain or loss percentage
The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random fr...
There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:C will be?
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
A certain company reported that the revenue on sales increased 50 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
A, B and C started a shop by investing Rs. 4,000, Rs. 12,000 and Rs. 8,000 respectively. At the end of the year, the profits were distributed among them. If C’s share of profit be Rs. 1,000, then the total profit was :
If 3x+y=40, 2x-y=20, for integers of x and y, 2y^2=?
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
If x and y are numbers such that (x+3)(y-3)=0, what is the smallest possible value of x^2 + y^2
The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is?
Audrey has a bag of apples that weighs 200g. If she uses 62g of apples from the bag to make pies, what percent of her bag did she use?
If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 281 pounds. What is Jake’s present weight, in pounds?
There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
How many positive integers less than 247 are multiple of 4 but NOT multiples of 6?
How many different sections of 4 books can be made from 10 different books if two particular books are never selected.
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 20 runs. Find his average in all the 30 matches?
A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,060 ?
(1/4 + 1/4 ÷ 5/4) / (1/4 x 1/4 + 2 1/4) = ?
In what ratio must tea at Rs.65 per Kg be mixed with tea at Rs.70 per Kg so that the mixture must be worth Rs.6 per Kg?
A certain number when divided by 39 leaves a remainder 16, what is the remainder when the same number is divided by 13?
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 18 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 18 slo...
A and B started business in partnership investing Rs. 20,000 and Rs. 18,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A bag contains 3 red, 2 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
If 4x = 8y = 12z, then what is a possible sum of positive integers x, y, and z?
In a 1000 m race, A beats B by 80 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
5.02 can be expressed in terms of percentage as
What is the present worth of Rs. 165 due in 2 years at 5% simple interest per annum?
The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 31 inclusive.
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 38. Find the profit percentage?
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. The speed of the car is:
How many different positive integers are factors of 25?
How much interest can a person get on Rs. 4500 at 20.1% p.a. simple interest for a period of seven years and six months?
Two trains are moving in opposite directions with speed of 60 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
A jogger running at 9 km/hr along side a railway track is 280 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Two cyclist start from the same places in opposite directions. One is going towards north at 10kmph and the other is going towards south 40kmph. What time will they take to be 50km apart?
Machine A and machine B are each used to manufacture 770 sprockets. It takes machine A 10 hours longer to produce 770 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:30 a.m., how long will the conference last if t...
City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?
If 0.003^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Two buses and a van were employed to transport a class of students on a field trip. 1/5 of the class boarded the first bus. 2/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. Wha...
how much time does Suresh take to cover a distance of 280 m, if he runs at a speed of 7 km/hr ?
Six bells commence tolling together and toll at intervals of 2,4,6,8,10,12 seconds respectively. In 30 minutes how many times do they toll together?
If 8 workers can build 8 cars in 8 days, then how many days would it take 6 workers to build 6 cars?
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
If |5x-25| = 100, then find the sum of the values of x?
In a weight-lifting competition, the total weight of Joe's two lifts was 1500 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
If f(x) = 3x^4 - 4x^3 - 2x^2 + 6x , then f(-1) =
Williams decides to attend a volley ball game with six friends. If the party of seven sits together in seven consecutive seats, and Williams must NOT sit in between two of his friends, how many ways can the seven friends be arranged?
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $10. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 13 is:
There are 6 persons in an office. A group consisting of 3 persons has to be formed. In how many ways can the group be formed?
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 3. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?
The average of 11 results is 44, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?