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100 people are attending a newspaper conference. 35 of them are writers and more than 38 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors?
How many different positive integers exist between 10^3 and 10^4, the sum of whose digits is equal to 2?
If the average (arithmetic mean) of a and b is 30 and the average of b and c is 60, what is the value of c − a?
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
A numberais squared and then multiplied by negative 3. The result of this operation W is equal to three times the sum of three timesaand two. What is one possible value ofa?
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1/2 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
In a tree, 3/7 of the birds are parrots while the rest are toucans. If 2/3 of the parrots are female and 7/10 of the toucans are female, what fraction of the birds in the tree are male?
If f(x) = ax^3 + x^2 + ax – 2x, then f(b) – f(-b) will equal:
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 432 sq m, then what is the breadth of the rectangular plot?
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
If g and s are positive integers such that (2^g)(4^s) = 16, then 2g + s =
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43 x
What Is The Next Number 12 13 15 17 111 113 117 119 ?
If x and y are integers and xy = 330, x or y must be divisible by which of the following?
60% of the employees of a company are men. 60% of the men in the company speak French and 50% of the employees of the company speak French. What is % of the women in the company who do not speak French?
How much is 80% of 40 is greater than 4/5 of 25?
Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
A thief goes away with a SANTRO car at a speed of 25 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start?
A club with a total membership of 30 has formed 3 committees, M, S and R, which have 7, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 28 gallons of ethanol, how many gallons of fuel A were added?
45 x ? = 25% of 900
There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(66)-A(65)?
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $205?
How many integers k greater than 100 and less than 900 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
A five-person team is to be formed from a pool of 6 East All Stars and 6 West All Stars. What is the probability that the team will contain at least 2 East All Stars?
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A recycling facility is staffed by 15 floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid n times as much as a floor worker. If the manager’s wages account for 1/14 of all wages paid at the facility, what is the value of n?
A can do a piece of work in 20 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
In a group of ducks and cows, the total number of legs are 24 more than twice the number of heads. Find the total number of cows.
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 10 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 50, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.
A man purchases an electric heater whose printed price is Rs.160. If he received two successive discounts of 20% and 10%; he paid :
What are the last two digits of 24*62*33*48*39*16?
The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 8 years ago, the sum of their ages was 76, what will be the age of Bren 12 years from now?
A father told his son "I was as old as you are at present, at the time of your birth". If the father is 38 years old now, then what was the son's age five years ago in years?
A man is walking at the rate of 10 km/hr crosses a bridge in 15 minutes. The length of the bridge is
Three factories of Conglomerate Corporation are capable of manufacturing hubcaps. Two of the factories can each produce 1000 hubcaps in 15 days. The third factory can produce hubcaps 30% faster. Approximately how many days would it take to produce a 10,000 hubcaps with all three factories working simultaneously?
There are 32 balls which are red, blue or green. If 15 balls are green and the sum of red balls and green balls is less than 23, at most how many red balls are there?
A train 275 m long, running with a speed of 90 km / hr will pass a tree in
The smallest 3 digit positive integer obtained by adding two positive two digit numbers, one of which has the units and tens places interchanged as the other is _____
If one of the followings is the product of the two 3-digit integers 8K6 and 6L9 (K and L denote the tens digit of the respective integers), then that product must be
A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
A coin is tossed four times. What is the probability that there is at the least one tail?
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability Q that this product will be a multiple of 45?
A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken?
Convert the 17/36 m/s into kilometers per hour?
A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0017)?
If x + y = 6 and x – y = 3, then x^2 - y^2 =
P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 8 meter/sec.
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
A train 600m long is running at 54km/hr. How much time will it take to cross a pole?
The S.I. on a certain sum of money for 6 years at 16% per annum is half the C.I. on Rs. 8000 for 2 years at 20% per annum. The sum placed on S.I. is?
In how many ways can a cricket eleven be chosen out of a batch of 15 players.
Ramesh purchased a refrigerator for Rs. 16500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
There are 7 players in a bowling team with an average weight of 94 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly, is :
3889 + 12.952 – ? = 3854.002
A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/4 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 280, then the number is:
A cargo ships engines failed 100 miles away from the port. Due to the changing wind direction, it is moving 12 miles towards the port and 6 miles away from the port. If the wind pattern remains same, how many miles it will travel before reaching the port?
If m=4p where p is a prime number greater than 2, how many different positive even divisors does m have, including m?
Ramu bought an old car for Rs. 45000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 6 minutes A is turned off. After how much more time will the cistern be filled?
What is the place value of 4 in the numeral 2436?
The sum of how many terms of the series 6 + 12 + 18 + 24 + ... is 1800 ?
what is the 49 th word if the letters of the word ABUSER is arranged in alphabetical order
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
A salt manufacturing company produced a total of 1000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
By looking at a rectangular box, a carpenter estimates that the length of the box is between 2 to 2.1 meters, inclusive, the breadth is between 1 to 1.1 meters, inclusive and the height is between 2 to 2.1 centimeters, inclusive. If the actual length, breadth and height of the box do indeed fall within the respective ranges estimated by the carpenter, which of the following is the closest to the maximum possible magnitude of the percentage error R that the carpenter can make in calculating the volume of the rectangular box?
A theater box office sold an average (arithmetic mean) of 64 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 76, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
The speed of a car is 80 km in the first hour and 40 km in the second hour. What is the average speed of the car?
According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 25, by how much does the temperature in degrees Celsius (C) increase?
Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many Q women are currently in the room?
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.19200. A's share is?
Nine persons went to a hotel for taking their meals. Eight of them spent 12 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
If John takes 11 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?
In a hostel there were 100 students. To accommodate 25 more students the average is decreased by rupees 10. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now?
3889 + 12.998 - ? = 3854.002
Jim needs $1,000 to buy a new flat-screen TV. Since he has only $7, he borrows the remaining balance from his sister Mary. The loan will be repaid in 3 annual installments at an interest rate of 10%, compounded annually. The formula for calculating the monthly payment P is P = (L x C x r) / (C – 1) where L = amount of the loan, r = annual interest rate, and C = compounding factor = (1 + r)^N where N = number of annual payments. How much does Jim have to pay Mary at the end of each of the next 3 years (rounded to the nearest penny)?
The difference between the place value and the face value of 7 in the numeral 856973 is
Sara is an avid lottery player. In the certain game she plays, she must pick one number between 30 and 39, inclusive, one number between 40 and 49, inclusive, and one number between 50 and 59, inclusive. She believes that she will have the best chance of winning if her three numbers, as a set, have the greatest number of distinct prime factors possible. According to Sara’s theory, which of the following sets of three numbers should she use?
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
The measures of the 2 acute angles of a triangle are in the ratio of 3 : 7. What arethe measures of the 2 angles?
In how many years will a sum of money doubles itself at 10% per annum on simple interest?
If positive integer n is divisible by both 5 and 16, then n must be divisible by which of the following?
What is the difference between the place value and face value of 3 in the numeral 1375?
A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A certain car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 40 miles on the highway?
A number increased by 30% gives 780. The number is
What number comes next? 452, 693, 714, 526, 937, ?
In a certain group of 10 developers, 4 developers code only in Python and the rest program in either Ruby on Rails or PHP - but not both. If a developer organization is to choose a 3-member team, which must have at least 1 developer who codes in Python, how many different programming teams can be chosen?
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p +1?
P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
In a group of ducks and cows, the total number of legs are 40 more than twice the number of heads. Find the total number of cows.
A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 20 km/hr. What was the average speed for the whole journey?
x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) + (10x + z) could NOT equal
If d is the standard deviation x, y, and z, what is the standard deviation of x +7, y + 7, z + 7 ?
Ram and Ramesh can do a work piece of work in 6 days. Ram alone can do it in 10 days. In how many days can Ramesh alone can do it?