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A train 360 m long is running at a speed of 48 km/hr. In what time will it pass a bridge 140 m long?
If (18^a) * 9^(3a – 1)= (2^4)(3^b) and a and b are positive integers, what is the value of a?
A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of ...
If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 293 pounds. What is Jake’s present weight, in pounds?
Four dice are thrown simultaneously. Find the probability that all of them show the same face.
How many liters of 20% alcohol solution should be added to 40 liters of a 50% alcohol solution to make a 30% solution?
Peter walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:30. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 30 meters. What is Peter's speed in meters per mi...
A clock gains 15 minutes per day. It is set right at 12 noon. What time will it show at 4.00 am, the next day?
How much more would Rs.40000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
A boat running up stram takes 6 hours to cover a certain distance, while it takes 8 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what M percent of the apartments with windows have hardwood floors?
A coin is tossed 4 times. What is the probability a that the number of Heads is equal to the number of Tails?
If x + (1/x) = 5, what is the value of W= x^2 + (1/x)^2?
In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds X in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers?
How many seconds will a train 60 meters long take to cross a bridge 120 meters long if the speed of the train is 30 m/sec?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 10 hours respectively. The ratio of their speeds is
The present worth of a sum due sometime hence is Rs. 576 and the banker’s gain is Rs. 16. The true discount is :
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
What is 15% of 2/3 of 0.7?
In Arun's opinion, his weight is greater than 62 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 65 kg. If all of them are correct in their estimation, what is the average...
What is the minimum value of |x-4| + |x+6| + |x-5| ?
A mixture of sand and cement contains, 3 parts of sand and 5 parts of cement. How much of the mixture must be substituted with sand to make the mixture half sand and half cement?
Daniel went to a shop and bought things worth Rs. 40, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
What is the smallest positive integer x such that 520-x is the cube of a positive integer
If k, (k+200), (k+350), and 15*K are all multiples of D, then D could equal which of the following ?
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/7 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Two employees A and B are paid a total of Rs. 560 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
A bag contains 20 red and 30 white balls. One ball is drawn at random. What is the probability that the ball drawn is red?
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
Total 60 cows 20 cow gives each 2 liter milk 20 cow gives each 3/4 liter milk 20 cow gives each 1/4 liter milk this is split into 3 son per each 20 cows & 20 liter milk how?
Two trains of length 120 m and 210 m are 80 m apart. They start moving towards each other on parallel tracks, at speeds 69 kmph and 82 kmph. After how much time will the trains meet?
If the price of an article went up by 30%, then by what percent should it be brought down to bring it back to its original price?
There are 57 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?
The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?
If the charge of staying in a student youth hostel $18.00/day for the first week, and $13.00/day for each additional week, How much does it cost to stay for 23 days?
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of human blood ?
A group of people participate in some curriculum, 35 of them practice Yoga, 20 study cooking, 15 study weaving, 7 of them study cooking only, 5 of them study both the cooking and yoga, 3 of them participate all curriculums. How many people study both cooking and weaving?
The markup on a necklace is 80 percent of the cost. The markup is what percent of the selling price? (markup = selling price - cost)
Shawn has $150 to buy a new guitar. he found a guitar strap for $20, a guitar amplifier for $80, and some guitar picks for $8. How much does he have left to buy the guitar?
How many even number in the range between 10 to 120 inclusive are not divisible by 3
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2:3. If there are Rs. 30 in all, how many 5 p coins are there?
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?
How many positive number less than 1000 have sum of there digit 17?
Solve 7x – 2(x+5) = 4x + 11
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
If |5x-5| = 100, then find the sum of the values of x?
Bob finishes the first half of an exam in four sixth the time it takes him to finish the second half. If the whole exam takes him an hour, how many minutes does he spend on the first half of the exam?
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
How long does a train 110 m long running at the speed of 90 km/hr takes to cross a bridge 132 m length?
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
A computer simulation of a 12 hour analog clock keeps perfect time while it is running, and has two hands—an hour hand and a minute hand—both of which move continuously around the 12 hour dial. (For example, at 2:30, the hour hand will be exactly halfway between 2 and 3.) Because of careless programming, the minute han...
The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 288 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?
How many 4 digit numbers can be formed if the tens and thousands digits are even, and the hundreds and units digits are odd?
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 4 professor, how many ways can this committee be formed?
Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 3 on it exactly once?
A cylindrical can has a radius of 3 centimeters and a height of 24 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over-lapping?
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 3 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 4 hours. If at 6:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?
We run a business that rents out canoes and kayaks. A canoe rental costs $12 per day, and a kayak rental costs $18 dollars per day. One day, our business rents out 3 canoes for every 2 kayaks and receives a total of $504 in revenue. How many more canoes than kayaks were rented out?
Of three numbers, the third is twice the second and the second is 4 times the first. If their average is 78, the smallest of the three numbers is:
What is the unit digit in 4^100?
A fruit seller sells mangoes at the rate of Rs.5 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%
How many integers from 0 to 53, inclusive, have a remainder of 1 when divided by 3 ?
How many ways are there to select a subcommittee of 8 members from among a committee of 17?
The area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot. What will be the length of the diagonal of the square plot?
Which of the following is equal to 5^k*7^(k-1)?
The ratio of the area of a square to that of the square drawn on its diagonal is
If x,y ,and z are positive real numbers such that x+y-z = 62, y-z+x =82 , and z-x+y = 100, then find the x+y+z value?
A man can row 18 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream.
Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
At 3:40, the hour hand and the minute hand of a clock form an angle of
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
A train 75 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?
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 58?
A, B and C start a business each investing 10,000. After 6 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 34,200 was recorded. Find the share of B.
If yesterday was Monday, when will Wednesday be?
An unbiased die is tossed. Find the probability of getting a multiple of 5
A man can row with a speed of 30 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is?
The distance from Steve's house to work is 20 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?
At a dinner party, 6 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys ?
The price of lunch for 15 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Given that E and F are events such that P(E) = 15, P(F) = 10 and P(E n F) = 15, find P (E|F) and P(F|E)
Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 52 yr. How old is E?
Kevin plants corn and cotton. Once he harvests the crops, he has 30 pounds of corn and x pounds of cotton. Corn sells for $5 per pound and cotton sells for $10 per pound. If Kevin sells all his corn and cotton for a total of $640, then compute x.
A batsman in his 9th inning makes a score of 75 and their by increasing his average by 7. What is his average after the 9th inning?
P runs 20% faster than Q so P gives Q a 300 meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
How many positive integers between 1 and 100 are there such that they are multiples of 13?
Of the 75 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
Which is the following is divisible by 11
In how many different number of ways a combination of 3 men and 2 children can be selected from 6 men and 5 children ?
If A,B,C are three integers and AB+C is even ; which of the following must be true? A)A+C is even B)B+C is even C)ABC is even
There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:D will be?
Ayesha's father was 28 years of age when she was born while her mother was 15 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?