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Set F consists of all the prime numbers between 10 and 25. What is the range of set F?
If a mixture is 5⁄9 alcohol by volume and 4⁄9 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
when n divided by 3, the remainder is 2. when n divided by 4, the remainder is 1 what is the the remainder when divided by 12
The mean of set L does not exceed mean of any subset of set L. Which of the following must be true about set L? I. Set L contains only one element II. All elements in set L are equal III. The median of set L equals the mean of set L
The ratio of number of students studying Arts, Commerce and Science in a College is 7 : 5 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
xy=1 then what is (4^(x+y)^2) / (4^(x-y)^2)
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
A researcher computed the mean, the median, and the standard deviation Q for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
If X = Y/Z+1, -1 < Z < 0 and 2 < Y, which of the following is correct?
If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region?
Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fourth widget, starting with the fourth, and Steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either ...
How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
In a series of football matches, the probability that Team P wins a match against Team Q is 1/3 and the probability that the match ends in a draw is 1/5. If the two teams play five matches, what is the probability that all five matches end in a draw?
A man gets a simple interest of Rs.600 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A factory produces 5500 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.?
The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer
Solving a linear equation with several occurrences of the variable, solve for w. Simplify answer as much as possible. (7w + 6)/6 + (9w +8)/2 = 22
What is the square root of 81, divided by 3?
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 56 more. What was his original selling price?
Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 222 runs?
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 48 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
If a real number x is chosen at random in the interval [0,5] and a real number y is chosen at random in the interval [0,7], what is the probability that x < y?
Three bottles whose capacities are as 5 : 3 : 2 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of bottles are as 3 : 2, 2 : 1 and 3 : 1 respectively. Find the percentage of water in the new mixture obtained when 1/3rd of first, 1/2 of second and 2/3rd of the third bottle is ...
The total of a company's assets in 1994 was 100% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994?
If A and B get profits of Rs.5,000 and Rs.2,000 respectively at the end of year then ratio of their investments are
If the cost price of 44 chocolates is equal to the selling price of 24 chocolates, the gain percent is :
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor A of 2x and 3y?
The original price of a certain TV set is discounted by d percent, and the reduced price is then discounted by 2d percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
Of 300 surveyed students, 20% of those who read book A also read book B and 50% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?
John have a 630ml mixture of milk and water in the ratio 7:2. How much water must be added to make the ratio 7:3?
By investing Rs. 1620 in 8% stock,Michael earns Rs. 135.The stock is then quoted at :
The least number which must be subtracted from 509 to make it exactly divisible by 9 is:
A watch was sold at a loss of 10%. If the watch was sold for $28 more, there would have been a gain of 4%. What is the cost price?
In Net's hair salon 54% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 60 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
An unbiased die is tossed .find the probability of getting a multiple of 3
Find a sum for first 8 prime number'ss?
There are 20 balls which are red, blue or green. If 7 balls are green and the sum of red balls and green balls is less than 13, at most how many red balls are there?
A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 15% impurities to the product. Find the net profit percentage of the dealer?
A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
(4300231)-?=2535618
A train 605 m long is running with a speed of 60 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?
From the top of a 9 metres high building AB, the angle of elevation of the top of a tower CD is 30º and the angle of depression of the foot of the tower is 60º. What is the height of the tower?
If one person completes a journey in 10 hrs. He travels 1st half of the journey at the rate of 21 km/hr and 2nd half at therate of 24 km/hr. Find the total journey in km.
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 sec. What is the length of the fast train?
If each of 4 subsidiaries of Corporation R has been granted a line of credit of $626,500 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R?
A rainstorm increased the amount of water stored in State J reservoirs from 160 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 40 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the s...
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?
Each week the forensics teams at Roslyn High School and Manchester High School debate each other. Each team has several members, and each week three are selected to debate. Whenever Aviva debates for Roslyn, Roslyn wins; and whenever Zachary debates for Roslyn, Roslyn wins. Whenever Josh debates for Roslyn, Manchester ...
If x is the sum of six consecutive integers, then x is divisible by which of the following: I. 12 II. 3 III. 6
if x:y = 1:2, then find the value of (7x+3y):(2x+y)
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Four persons enter the lift of a four storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If r of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the pr...
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 22,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winnin...
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 3?
Rain is falling at a rate of 10 centimeters per hour all over North Carolina. Somewhere downtown in North Carolina a group of people are waiting for the rain to stop. If the rain filled a round puddle the with a base area of 300 square centimeters and a depth of 30 centimeters, how long did the people wait for the rain...
C and D start a business with Rs.25000 and Rs.35000 respectively. Hoe should they share their profits at the end of one year?
Two trains 140 m and 210 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 fourth proportional to 7, 9, 14 is:
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
The shopkeeper sale, all of the prices of the items sold were different. If the price of a radio sold at the shopkeeper sale was both the 9th highest price and the 14th lowest price among the prices of the items sold, how many items were sold at the shopkeeper sale?
What is the minimum percentage increase in the mean of set F {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes?
Judges will select 6 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of pr...
If a^5 ≤ a, which of the following must be true? I. –1 ≤ a ≤ 0 II. a=0 III. 0 ≤ a ≤ 1
How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph?
A 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
How many times digit 6 is used while writing numbers from 150 to 1000?
Tough and Tricky questions: Combinations. The product of the digits of the four-digit number h is 42. No two digits of h are identical. How many different numbers are possible values of h?
What is the cost of leveling the field in the form of parallelogram at the rate of Rs.50/10 sq.metre, whose base & perpendicular distance from the other side being 94m & 54m respectively?
If 'a' and 'b' are non-zero numbers such that their sum is eight times the product, what is the value of 1/a + 1/b?
If [x] is the greatest integer less than or equal to x, what is the value of [1.6]+[-3.4]+[10.7]?
Of the three numbers, second is twice the first and is also thrice the third.If the average of the three numbers is 44.Find the largest number.
Tim and Élan are 30 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 160 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $400, how many of th...
Cost of 1 chair is Rs. 214 and cost of one table is Rs. 937, then what is the approximate cost of 6 dozen chairs and 4 dozen table ?
Three hundred multiples of seven are chosen at random, and 200 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth.
In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election?
If 48 men can do a piece of work in 25 hours, in how many hours will 15 men do it ?
Two boats are heading towards each other at constant speeds of 3 miles/hr and 21 miles/hr respectively. They begin at a distance 20 miles from each other. How far are they (in miles) one minute before they collide ?
There are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?
If A is thrice as fast as B and together can do a work in 18 days. In how many days A alone can do the work?
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 2 ½ hours if they are walking in the same direction?
Kelly and Jody packed boxes with books. If Jody packed 40% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
How many 1/8's are there in 371/2 ?
Three candidates contested an election and received 1136, 7636 and 14628 votes respectively. What percentage of the total votes did the winning candidate got?
what is the least number by which 2,100 must be divided to get a number perfect square
Rick deposited $750 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?
Find large number from below question The difference of two numbers is 1390. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder