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The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
The denominator of a fraction is 8 greater than the numerator. If the numerator and the denominator are increased by 5, the resulting fraction is equal to 6⁄7. What is the value of the original fraction?
A group of men decided to do a work in 15days, but 8 of them became absent. If the rest of the group did the work in 18days, Find the original number of men?
The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 6-hour period?
Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 1000. then his monthly salary is
A tradesman by means of his false balance defrauds to the extent of 40%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
What is the average of first 21 multiples of 4 ?
Find the greatest number which on dividing 4351 and 5161, leaves a reminder of 8 and 10 respectively
The average age of 10 students in a class is 15 years. If the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?
Half a number plus 7 is 17.What is the number?
A bike agent buys 30 bicycles, of which 8 are first grade and the rest are second grade, for Rs 3,150, Find at what price he must sell the first grade bikes so that if he sells the second grade bikes at three quarters of the price, he may make a profit of 40% on his outlay.
A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 8 hats randomly out of the drawer and returning each hat before taking out the next one?
If d is the smallest positive integer such that 3,150 multiplied by d is the square of an integer, then d must be
John takes 6 hrs to print 32 pages. Peter takes 5hrs to print 40 pages. In how many hours they will print 110 pages together ?
70,78, 80,85,90,105,105,130,130,130 The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
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 greatest number of four digits which is divisible by 25, 40, 54 and 75 is:
The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?
A man invests some money partly in 12% stock at 132 and partly in 10% stock at 80.To obtain equal dividends from both,he must invest the money in the ratio :
Working alone, Jerry finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Jerry alone cleans the entire house in 6 hours. How many hours will it take Nick and Jerry to clean the entire house if they work together?
.008/?= .01
I. a3 - 988 = 343, II. b2 - 72 = 49 to solve both the equations to find the values of a and b?
Tanks Q and B are each in the shape of a right circular cylinder. The interior of tank Q has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank Q is what percent of the capacity of tank B?
4 dice are thrown simultaneously on the board. Find the probability show the same face.
10 men, working 4 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
If (x + 10)^2 = 144, which of the following could be the value of 2x?
Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=36, what is the maximum value of y for which f(x,y)=0?
What percent is 6 gm of 1 kg?
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 5 is:
A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is?
If 7875 / 5.25 = 1500, then 787.5 / 52.5 is equal to ?
The ratio of number of boys and girls in a school is 2:5. If there are 490 students in the school, find the number of girls in the school?
What percent is 320 gm of 1 kg?
A train moves 100m in 2 sec and then find the speed travelled?
A selection committee is to be chosen consisting of 5 ex-technicians. Now there are 12 representatives from four zones. It has further been decided that if Mr. X is selected, Y and Z will not be selected and vice-versa. In how many ways it can be done?
7 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
An empty pool being filled with water at a constant rate takes 8hours to fill to 4/5 of its capacity.how much more time will it take to finish filling the pool?
The radii of two cones are in ratio 2:1, their volumes are equal. Find the ratio of their heights.
A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is
A and B together can do a piece of work in 6 days and A alone can do it in 13 days. In how many days can B alone can do it?
From a Group of 8 People, Including Gary and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include Gary but not Nina
A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front seats and three back seats. If one of the parents must drive and the two daughters refuse to sit next to each other, how many possible seating arrangements are there?
How many bricks each measuring 20cm x 10cm x 8cm, will be needed to build a wall 10m x 8m x 24.5m
In Richard's office one half of the workers are Indians,quarter are from America,one-fifth are from Canada and the other 100 are China. How many workers total are there in the company?
Rahim bought 32 books for Rs.1500 from one shop and 60 books for Rs.340 from another. What is the average price he paid per book ?
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 30 minutes earlier than usual. How much time did the man spend walking?
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
A can do a work in 14 days. B is 40% more efficient than A. How many days does B alone take to do the same job?
Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 72 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?
If -1 < x < 1, which of the following must be true? I. x^3 < x^2 II. x^5 < 1 – x III. x^4 < x^2
If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability that a number picked up in first 90 positive integers will have the result of # as an odd digit ? ( example 99 = 9+9 = 18=1+8=9, so #=9)
Lucy deposited $67600 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5300?
For any positive x, y and z if x is n% of y and z is m% of y then what percentage Q must x be of z?
Simplify: 0.6*0.6+0.6*0.6
The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers?
This is an ancient problem dating back to about 310 A.D. Demochares had lived one-fourth of his life as a boy, one-fifth as a young, one-third as a man. and has spent thirteen years in his dotage. How old is Demochares?
A book is bought for Rs.600/- and sold at a profit of 10% find its selling price?
Rekha took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 588 as interest at the end of the loan period, what was the rate of interest?
A cistern can be filled by a tap in 4 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 P(32, 6) = kC (32, 6), then what is the value of k?
In what time will a train 200 meters long cross an electric pole, if its speed is 128 km/hr
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
The area of a parallelogram is 243sq m and its altitude is three times the corresponding base. What is the length of the base?
There are 8 disks in a container that are numbered 23, 24, 25, 26, 28, 29, 30 and 31. 4 disks are randomly removed from the container, one after the other, without replacement. Then a list of 5 numbers containing the 4 numbers on the disks selected, together with the number 27 will be made. What is the probability that 27 is the median of the list of 5 numbers?
Which of the following is closest to 1/6+1/66+1/666
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 $ 35 more. What was his original selling price?
Craig sells major appliances. For each appliance he sells, Craig receives a commission of $50 plus 10 percent of the selling price. During one particular week Craig sold 6 appliances for selling prices totaling $3,620. What was the total of Craig's commissions for that week?
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is?
The side of a square is increased by 15% then how much % does its area increases?
Mangala completes a piece of work in 10 days, Raju completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is?
Three cannons are firing at a target. If their individual probabilities to hit the target are 0.4, 0.2, and 0.3 respectively, what is the probability that none of the cannons will hit the target after one round of fire? prob. that all the cannons will hit the target = .06 prob. that none of the cannons will hit = 1 - .06 = .94
The average weight of three boys P, Q and R is 54 kg, while the average weight of three boys Q, S and T is 60 kg. What is the average weight of P, Q, R, S and T?
The length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Tough and Tricky questions: Exponents. If a and b are positive integers and x = 5^a and y = 7^b, which of the following is a possible units digit of xy?
Using all the letters of the word "FRIDAY", how many different words can be formed?
When 52416 is divided by 312, the quotient is 168. what will be the quotient when 522.416 is divided by 0.0168?
The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.850 find the number of laborers?
There is a road beside a river.Two friends started from a place A, moved to a temple situated at another place B and then returned to A again. One of them moves on a cycle at a speed of 12 km/hr, while the other sails on a boat at a speed of 10 km/hr. If the river flows at the speed of 4 km/hr, which of the two friends will return to place A first ?
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Find the odd man out. 1050, 510, 242, 106, 46, 16, 3
If the area of circle is 616 sq cm then its circumference?
((1^(m+1))/(5^(m+1)))((1^18)/(4^18)) = 1/(2(10)^35) What is m?
Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all
Find the simple interest on Rs.567 for 7 months at 9 paisa per month?
Look at this series: 97, 97, 93, 93, 89, 89, 85, 85, ... What number should come next?
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/4 of all the paint. During the second week, he uses 1/3 of the remaining paint. How many gallons of paint has Joe used?
Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters Look at this series: C99, F102, __, L108, O111, ... What number should fill the blank?
Which of the following numbers is between 1⁄3 and 2⁄5?
The average of 10 numbers is calculated as 18. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
A coin is weighted so that the probability of heads on any flip is 0.2, while the probability of tails is 0.8. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice?
If circles x and y have the same area and circle x has a circumference of 14π, half of the radius of circle y is:
If n is an integer number, and m=115n, then m must be divisible by which of the following?
Ram draws a card randomly among card 1-23 and keep it back. Then Sam draws a card among those. What is the probability that Sam has drawn a card greater than ram.