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A military garrison in a wild frontier has 600 men who have provisions to last 22 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?
I sold a book at a profit of 10%. Had I sold it for $110 more, 15% would have been gained. Find the cost price?
eleven books,consisting of 5 engineering books , 4 maths books,2 physics books are arranged in a shelf at random .what is the probability that books of each kind are all together?
If x > 6 and y < -6, then which of the following must be true ?
If the probability of rain on any given day in City X is 50%, what is probability that it rains on exactly 3 days in a 4 day period?
An escalator moves towards the top level at the rate of 11 ft.sec and its length is 140 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
A bullet train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
A and B tanks are there. 1/8th of the tank B is filled in 22Hrs. What is time to fill the full tank
Jerry is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 mint , and the remainder an even mixture of salt, pepper and sugar. If Jerry accidentally doubles the mint and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?
A = {2, 3, 4, 5} B = {4, 5, 6, 7, 8} Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
If CRY is coded as MRYC then how will GET be coded?
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
A motorist knows five different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
A number whose one-fourth part is increased by 5 is equal to the third part diminished by 5.
When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 5. If 1 < m < 300, what is the greatest possible value of m?
What should come in place of the question mark(?) in each of the following questions ? 6% of 350+ (?)% of 200 = 75% of 40
If a is an odd integer and b is an even integer which of the following must be an integer :
In Jessica's opinion, her weight is greater than 65 kg but less than 72 kg. Her brother doest not agree with Jessica and he thinks that Jessica's weight is greater than 60 kg but less than 70 kg. Her mother's view is that her weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Jessica?
List D consists of 12 consecutive integers. If -4 is the least integer in list D, what is the range of positive integers in list D?
If n and k are integers whose product is 4900, which of the following statements must be true?
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Find the best average of the first 10 multiples of 7....
What is 35% of 4/13 of 845?
Which of these expressions has the greatest value?
For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 2/7, what are the odds of it burning out during the period from 6months to 1 year following its purchase?
What day of the week does May 28 2006 fall on
If $2000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
The heights of three individuals are in the ratio 4 : 5 : 6. If the sum of the heights of the heaviest and the lightest boy is 150cm more than the height of the third boy, what is the weight of the lightest boy?
The sum of number of boys and girls in a school is 400. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Given the two equations 5r + s = 26 and r + 5s = 10, by how much does r exceed s?
The sum of first six prime numbers is?
The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
15% of a certain number is subtracted from 299, the result is the same number. What is the number?
Set S consists of integers {1,2,3,4}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 6?
Three hoses work to fill a tub at at different rate. Hose P and B, working together, can fill the tub in 6/5 of an hour. Hoses P and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub? Edited for accurate solution
In a rectangular coordinate system, points O (2,0), P (2,8), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
The population of a town is 10000. It increases annually at the rate of 10% p.a. What will be its population after 2 years?
The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 72, then 1/m + 1/n is equal to
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
When a random experiment is conducted, the probability that event A occurs is 1/4. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?
A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
A coin is tossed 6 times. What is the probability of getting exactly 5 heads?
If a + b = x and a - b = y , then 3ab = can someone explain!
Set A contains all the even numbers between 32 and 80 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
When Q is divided by 9, the remainder is 4. All of the following are possible values of Q, except for which of the following?
The price of 80 apples is equal to that of 120 oranges. The price of 60 apples and 75 oranges together is Rs.1320. The total price of 25 apples and 40 oranges is
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
Sally has $100 in pennies. She wants to stack her pennies into three large piles and five small piles. The large piles are all the same size, and the small piles are all the same size. Additionally, Sally wants all of the small piles put together to equal one of the large piles. How many pennies does Sally put in one of the small piles?
If 32.5% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?
A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 respectively.After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more, After 3 more months, C joins the business with a capital of Rs. 21,000, The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by?
A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 900. Find the sum?
If an integer n is divisible by3, 5, 12. what is the next larger integer divisible by all these numbers
If it is 6:12 in the evening on a certain day, what time in the morning was it exactly 1,440,711 minutes earlier? (Assume standard time in one location.)
x^2-y^2= 16 and 2. xy=4 so find out x+y=? tell that both statement are required to find out the value of x+Y
A number increased by 20% gives 480. The number is
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
A company has two models of computers, model P and model Q. Operating at a constant rate, a model P computer can complete a certain task in 12 minutes and a model Q computer can complete the same task in 6 minutes. If the company used the same number of each model of computer to complete the task in 1 minute, how many model P computers were used?
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
mr. depak has $459,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends? Options:
A person standing on a railway platform noticed that a train took 21 seconds to completely pass through the platform which was 84m long and it took 9 seconds in passing him.Find the speed of the train?
If A is a positive integer, which of the following must be odd?
6, 11, 21, 36, 56, 81, 111, 146, 186, 231 ?
How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
George has 8 candies in a bag, 3 of which are sweet while the other 5 are sour. He pulls out 2 of the candies simultaneously, and at random. What is the probability that exactly one of the candies he picked is sour?
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 21 hrs and a machine of type S does the same job in 42 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the end nearest to the cow. Seeing this cow ran towards the train and managed to escape when the train was 2m away from the bridge. If it had run in opposite direction(i.e away from the train) it would have been hit by the train 2m before the end of the bridge. What is the length of bridge in meters assuming speed of the train is 4 times that of the cow.
A fort had provision of food for 150 men for 30 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
The number of diagonals of a polygon of n sides is given by the formula q=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Rs. 6000 is lent out in two parts. One part is lent at 4% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
What number comes next in the following number series? 12, 50, 202, 810, 3242, _____
A family I know has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there?
The ages of Old and Young total 48. Old is twice as old as Young was when Old was half as old as Young will be when Young is three times as Old was when Old was three times as old as Young. How old is Old?
In a sports club with 80 members, 48 play badminton and 46 play tennis and 7 do not play either. How many members play both badminton and tennis?
he population of a city is 110,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Combine terms: 6a + 26b -4b – 16a.
Saturn travels around the Sun at an approximate speed of 5.82 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)
A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for?
The bear alarm at Grizzly’s Peak ski resort sounds an average of once every thirty days, but the alarm is so sensitively calibrated that it sounds an average of ten false alarms for every undetected bear. Despite this, the alarm only sounds for three out of four bears that actually appear at the resort. If the alarm sounds, what is the probability that a bear has actually been sighted?
Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number
What is the remainder when 9801050880*1010 is divided by 22?
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance travelled by him?
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
What is the greatest prime factor of (10!9!) + (10!11!)?
In a box of 10 pens, a total of 2 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
If the probability of rain on any given day in City X is 20%, what is probability that it rains on exactly 3 days in a 4 day period?
An article is bought for Rs.1280 and sold for Rs.900, find the loss percent?
If 41/88 = 0.46590, what is the 77th digit to the right of the decimal point of the fraction?
Milk contains 10% water. What content of pure milk should be added to 20 liters of milk to reduce this to 5%?
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?
A train passes a station platform in 39 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?
The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.1950. The perimeter of the plot is?
A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 2t seconds, then what is the length of the platform?
It takes 2 team of farm workers 12 days to completely prepare a piece of land for planting. if both team of workers were to work separately, one of them can complete the work 10 days earlier than the other, how many days will it take each of them to separately complete the work?
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $7.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
If f(x)= 5x^3- 4x+8 and g(y)= 6y-4, then g(f(x)) =

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