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In how many ways can the letters of the word 'LEADER' be arranged?
A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If25 were to be added to each score, which of these three statistics would change?
In how many ways can 5 boys and 2 ladiesbe arranged at a table if 2 ladies are never together?
A farm has chickens, cows and sheep. There are five times the number of chickens and cows than sheep. If there are more cows than chickens or sheep, and together, cows and chickens have a total of 100 feet and heads, how many sheep live at the farm?
If m is an integer, what is the greatest possible value for m that would still make the following statement true: 11*10^m < 1/10 ?
Two men A and B start from place X walking at 4 1/2 kmph and 5 1/2 kmph respectively. How many km apart they are at the end of 3 1/2 hours if they are walking in the same direction?
A shopkeeper mixed 7kg of salt worth Rs.6 per kg, 5kg of salt worth Rs.4 per kg and 6 kg of salt worth Rs.5 per kg. For what amount of money should he sell 4 kg of the mixed variety of salt in order to make a profit of 12½%?
If 28a+30b+31c=427. then a+b+c=?.a,b,c are natural numbers
Find the odd one out: 125, 106, 83, 76, 65, 58, 53
P can complete a piece of work in 18 days & B can do the same piece of work in 15 days. They started working together but after 3 days P left & Q alone completed the remaining work. The whole work was completed in how many days?
If 4^x = 8^y, then the value of (x/y)-1 is equal to :
complete the numerical series with the correct number 5+3+2=151022 9+2+4=183652 8+6+3=482466 5+4+5=202541 9+5+5= ?
A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
The average age of a husband and his wife was 26 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 33. Find the profit percentage?
A soccer team played 158 games and won 40 percent of them. How many games did it win?
Given a bag with 2 red balls and 3 yellow balls, you randomly select one of them, in order. If the second ball you take is yellow, what is the probability that the first one was also yellow?
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m, what is its area?
Sequence P is defined by pn=pn−1+3, p1=11, sequence Q is defined as qn=qn−1–4, q3=103. If pk>qk+2, what is the smallest value k can take?
Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, fourth number is
Tough and Tricky questions: Percents. Over the course of a year, a certain microbrewery increased its beer output by 80 percent. At the same time, it decreased its total working hours by 10 percent. By what percent did this factory increase its output per hour?
A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 40% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 7 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
There are 36 students in a certain geometry class. If one third of the students are boys and one fourth of the boys are under six feet tall, how many boys in the class are under six feet tall?
John and Jacob set out together on bicycle traveling at 15 and 9 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Five marbles are randomly selected, one at a time (without return), from a bowl of 100 marbles (20 green, 30 blue, 10 yellow, and 40 black). What is the probability that all five marbles are black? (Answer in lowest terms).
If the largest three digit number is subtracted from the smallest five digit number, then the remainder is
Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank?
What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum
With what number must 0.580 be multiplied in order to obtain the number 580?
10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
A School Bus is used to transport students from home to college. There are total of 20 students who want to take the bus. There are 10 seats in the bus. 2 in the front row, 4 in the middle row and 4 in the last row. Bus driver has to make sure that front 2 seats are for nausea students. 4 students have nausea and can only sit in the front 2 seats. How many ways can the students sit in the bus.
Percentage of profit earned by selling a book e for $1920 is equal to the percentage loss incurred by selling the same book for $1280. What price should the book be sold to make 25% profit?
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the integers between 100 and 200?
In the reading room of a library, there are 25 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
Whats the next number in this number series ? 18, 46, 94, 63, 52, ?
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
How many different possible permutations can be made from the word ‘VULLAT’ such thatthe vowels are never together?
Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -6 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 4 women from the given committee?
Two men are walking towards each other alongside a railway track. A freight train overtakes one of them in 20 seconds and exactly 10 minutes later meets the other man coming from the opposite direction. The train passes this man is 18 seconds. Assume the velocities are constant throughout. How long after the train has passed the second man will the two men meet?
A cube of side 3 meter length is cut into small cubes of side 15 cm each. How many such small cubes can be obtained?
x = 13.165 y = 7.686 z = 11.545 The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
A boat travels 32 km downstream in 8 hours and 24 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Population of a colony of ants is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ?
A bag contains 10 red and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each in 1st month and 7th month of a year. At the end of the year, the amount he would have gained by way of interest is?
If q and r are both odd numbers B, which of the following must also be odd?
A, Band C can do a piece of work in 35 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
The words mentioned below have been arranged in a particular order. SHOP, FEAR, BALL, DEAD Can you find the logic behind the order?
2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be
If the price of a TV is first decreased by 20% and then increased by 55%, then the net change in the price will be :
Ben and Andrew are partners in a business. Ben is a working partner while Andrew is a sleeping partner. Ben gets 8% of the profit for managing the business, and the rest is divided in proportion to their capitals. If Ben invested 25000 and Andrew invested 38000, what is Ben's share in profit of 3500?
The cost of 20 articles is equal to selling price of 10. Find the gain or loss percent?
The area of a triangle is with base 18m and height 6m?
A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 1000. He sold both the items together for Rs. 6000. What percentage of profit did he make?
R and S together can plough a field in 10 hours but by himself R requires 15 hours. How long would S take to plough the same field?
In a restaurant, the profit is 130% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the 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. 1000 more than D, what is B's share?
If k, (k+200), (k+350), and 15*K are all multiples of S then S could equal which of the following ?
The sum of three consecutive even numbers is 366. Find the middle number of the three?
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 30% of the total school population of x students, what is x?
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 7 hours. Harvesting machine K harvested how many acres of wheat per hour?
A train crosses a platform of200 m in 15 sec, same train crosses another platform of length 300 m in 20 sec. then find the length of the train?
Four boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
John has 6 friends who want to ride in his new car that can accommodate only 5 people at a time (John plus 4 passengers). How many different combinations of 4 passengers can be formed from John's 6 friends?
The cost price of a radio is Rs.3300 and it was sold for Rs.1230, find the loss %?
The greatest number of four digits which is divisible by 10, 16, 24 and 80 is:
Missing number in the series 4 9 20 43 90 ?
There are 4 sections with 7 questions each. If three questions are selected from each section, the chance of getting different questions is________
A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?
If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river?
Arithmetic mean and standard deviation of a certain normal distribution are 11.5 and 1.5. What value is exactly 2 standard deviations less than the mean?
If x, y, and z are positive integers and 3x = 5y = 8z, then the least possible value of x + y + z is
The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is
If there are 200 questions in a 3 hr examination. Among these questions are 100 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Two trains, each 160 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 231 the Other is
In an examination, a student scores 3 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 300 marks, the number of questions he attempts correctly, is:
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 20 km/hr and 30 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?
In the equation x^2+kx+1=0, x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true? I) k=0 II) k=−1 III) k=−3
When 200 is divided by positive integer x, the remainder is 2. What is the remainder when 398 is divided by x?
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.5 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
A group of students was interviewed for that if it was asked whether or not they speak Spanish and / or English. Among those who speak Spanish, 15 speak English well, while 45 of them do not speak English. If 70% of students do not speak Spanish, how many students were surveyed?
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 2 hours?
Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 6 years?
If 140/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer II. 12/x is an integer III. 36/x is an integer
The current in a river is 6 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
How many minutes will it take for a car that is traveling at a constant rate of 9 miles per hour to travel a distance of 106 yards? (1 mile = 1,160 yards)
A train passes a station platform in 30 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?
Two tracks are parallel. The first track has 6 checkpoints and the second one has 10 checkpoints. In how many ways can the 6 checkpoints of first track be joined with the 10 checkpoints of the second to form a triangle?
Seller selling an apple for Rs.20, a Seller loses 1/6th of what it costs him. The CP of the apple is?
Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?
4.509/10.02 =

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