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P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
Eight friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $480. If one of the friends had a coupon for 25% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Four person are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is
Find the mean proportional between 64 & 81?
The product of the prime integers between 43 and 50, inclusive, is:
Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 2?
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points N is in the same quadrant as the fourth vertex of the square?
0.05 x 0.0173 is equal to:
A loan of Rs.700 is made at 9.5% simple interest for 4 months. How much interest is owed when the loan is due?
If a number is 30% more than the another, how much % is the smaller number less than the first ?
A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 10,800, then what is B's share in the profit?
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 9:30 am. They shall first cross each other at ?
a, b, c, and d are positive integers where a is divisible by b and c is divisible by d. Which of the following is NOT necessarily an integer?
In a card game, a combination of three queens beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
The probability that a number selected at random from first 50 natural numbers is a composite number is
If x^4 + y^4 = 20, then the greatest possible value of x is between:
Find the value of 1.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
Sahil purchased a machine at Rs 11000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is :
A number is doubled and 5 is added. If the resultant is trebled, it becomes 105. What is that number?
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 25%. What quantity of whisky is replaced ?
Two trains start from two opposite directions towards each other. The stations from which they start are 50 miles apart. Both the trains start at the same time on a single track. A falcon which is sitting on one train. starts at the same time towards the other train. as soon as it reaches the second one, it flies back to the first train and so on and so forth. It continues to do so, flying backwards and forwards from one train to the other until the trains meet. Both the trains travel at a speed of 25 miles per hour, and the bird flies at 100 miles per hour. How many miles will the falcon have flown before the trains meet?
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (a) around the mirror, which of the following could be the value, in inches, of a ? I. 2 II. 3 1/2 III. 5
The edges of a cuboid are 2 cm, 5 cm and 8 cm. Find the volume of the cuboid?
There are x numbers in list L, where x is a positive integer, and there are y numbers in list M, where y is a positive integer. The average (arithmetic mean) of the numbers in list L is p, and the average of all the numbers in both lists L and M is q. Which of the following expressions is the average of the numbers in list M?
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = g is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-g, -k), then what are the coordinates of the point P?
If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the longer sides?
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 6 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept? Assume there are 62 unique alphanumeric case sensitive characters.
What will come in place of the x in the following Number series? 12, 38, 116, x,
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
How many numbers between 300 and 500 begin or end with 3?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
6 In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
How much does a watch lose per day, if its hands coincide every 64 minutes?
The milk level in a rectangular box measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
The population of 6 villages is 803,900,1100,1023,945 and 980.what is the population of the seventh village if the average population of the seven villages is 1000?
a, b, c, d are positive integers such that exactly one of the following inequalities is false. Which inequality is false?
Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $100?
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {12} + {10}?
The length of a rectangle is twice its breadth. If its lengthis decreased by 5cm & breadth is increased by 5cm, the area of the rectangle is increased by 75sq.cm. What is the length of the rectangle?
A batsman scored 120 runs which included 5 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets?
If |x^2 − 2| = x, which of the following could be the value of x?
If 2^z is a factor of 24!, which of the following could be the value of z? I. 22 II. 23 III. 24
How many liters of water must be evaporated from 50 liters of a 6-percent sugar solution to get a 10-percent solution?
log3 N+log12 N what is 3 digit number N that will be whole number
Set X consists of all two-digit primes and set Y consists of all positive multiples of 4 less than 100. If the two sets are combined into one, what will be the range of the new set?
A baker sold all of his donuts for a total amount of 216 pounds. If on each donut the baker made a profit of 8% of the cost, how much did it cost the baker to make all the donuts?
A man purchases the milk at Rs. x per liter and sells it at Rs. 2x/liter stillhe mixes 2liters water with every 6liters of pure milk. Whatis the profit %?
In how many different number of ways 7 men and 3 women can sit on a shopa which can accommodate persons?
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 24 more photos than Claire. How many photos has Claire taken?
If r = 2^4 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?
Find the total number of four digit numbers that can be formed using the digits 1,2,5,6.
How many different ways can you select a pilot and a co pilot if you have 75 people to choose from?
A train speeds past a pole in 25 seconds and a platform 200 m long in 30 seconds. Its length is:
Eight cubes, each with a volume of 512 cm^3, are joined to form one large cube. What is the surface area of the large cube?
What amount does Kiran get if he invests Rs.9800 at 12% p.a. compound interest for three years, compounding done annually?
Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.20 at the candy store. What is this student’s weekly allowance?
Of the 30 employees of a certain company, 10 are accountants. 2 employees of the company will be selected at random. Which of the following is closest to the probability that neither of the employees selected will be an accountant?
One night 17 percent of the female officers on a police force were on duty. If 170 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
A and B together can do a work in 3 days. If A alone can do it in 6 days. In how many days can B alone do it?
w, q, and r are positive integers. If w, q, and r are assembled into the six-digit number wqrwqr, which one of the following must be a factor of wqrwqr?
Express a speed of 84 kmph in meters per second?
Calculate the fourth proportional to 1.8, 2.9 and 5.2?
A car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for each additional hour of travel time. If the average speed for the entire trip is 38 miles per hour, how many hours long is the trip?
In how many different ways could couples be picked from 8 men and 5 women?
There are 10 copies each of 4 different books. In how many ways can they be arranged on a shelf?
What approximate value should come in place of question mark (?) in the following equation? 33 1⁄3% of 768.9 + 25% of 161.2 – 65.12 = ?
A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 63 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?
The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
16 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Rs.385 were divided among X,Y,Z in such a way that X had Rs.20 more than Y and Z had Rs 15 more than X . How much was Y’s share?
John must arrange 3 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction W of the area of triangle ABC is the area of triangle XYZ?
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price E per glass on the second day?
The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
4 dice are thrown simultaneously on the board. Find the probability show the same face?
Which of the following values of A satisfies the inequality? A(A – 2) = 5A – 10
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.60 at the candy store. What is John’s weekly allowance?
Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?
The altitude of an equilateral triangle of side 2√3 cm is?
If (x-15)(x-3) < 0, which of the following must be true?
The ratio of number of boys and girls in a school is 2:5. If there are 350 students in the school, find the number of girls in the school?
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
A person's salary is getting reduced by 20%. What percentage should be added to get back his original salary?
Calculate the circumference of a circular field whose radius is 10 centimeters.
If 10 men do a work in 80 days, in how many days will 20 men do it?
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. How much does the clock gain or lose in 12 hours?
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job. Find the time in which they can finish the job together.
Haris can wash all the windows of his house in 10 hours. His wife Maggie can wash all the windows in 5 hours. How many hours will it take for both of them working together to wash all the windows?
What is the smallest positive integer x, such that √392x is an integer?