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The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+33, what is the perimeter of the garden in feet?
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 50 and a standard deviation of 10, which of the following is exactly 1.75 standard deviations more than the mean?
If the sum of the interior angles of a regular polygon measures up to 1620 degrees, then how many sides does the polygon have?
A certain club has 10 members, including Warry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Warry will be either the member chose to be secretary or the member chose to be treasurer?
What is the perimeter of a square with area 9p^2/4 ?
If 18,888 – n is divisible by 11, and 0 < n < 11, what is n?
If 18 is 15 percent of 30 percent of a certain number , what is the number?
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
What is the present worth of Rs. 143 due in 2 years at 5% simple interest per annum
A man gets a simple interest of Rs.1000 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.
In a contest, a bowl contains 6 keys, one of which will open a treasure chest and Five of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Kishore is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that he wins the prize?
A train 180 m long running at 75 kmph crosses a platform in 40 sec. What is the length of the platform?
A ship sails out to a mark at the rate of 22 kmph. and sails back at the rate of 12 kmph. The average rate of sailing is ?
A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.
A train with 120 wagons crosses John who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the John ( he is riding on the horse) before it starts overtaking the Mike(who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in secs) after the train has crossed the Mike do the John meets to Mike?
Of the votes cast on a certain proposal, 70 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
If two sides of a triangle are 6 and 8, which of the following could be the area of triangle? 1. 35 2. 48 3. 56
Two trains 170 m and 160 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?
Find the curved surface area, if the radius of a cone is 28 m and slant height is 30 m?
It takes ten minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. what is the speed of the slower horse?
A can finish a piece of work in 5 days. B can do it in 16 days. They work together for two days and then A goes away. In how many days will B finish the work?
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/6 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true? I. b-c is positive integer II. abc is an even integer III. (a+b+c)/3 is an integer
In how many ways can A, B, C, D and E be seated in a row such that A and C are not seated next to each other?
Bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the number.
A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long.The length of the train is
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $17 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item?
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
How many cubes of edge 2 dm can be cut out of a meter cube?
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?
Jacob's age 18 years hence will be thrice his age four years ago. Find Jacob's present age?
Tough and Tricky questions: Exponents. If 3^m3^m3^m = 6^n, then m/n =
A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 6400 a year. What is his average monthly income?
The ratio of two numbers is 5:6. If a number is added to both the numbers the ratio becomes 7:8. If the larger number exceeds the smaller number by 10. Find the number added.
If the wheel is 12 cm then the number of revolutions to cover a distance of 1240 cm is?
Jane covered a distance of 350 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Sachin is younger than Robert by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
The profit earned by selling an article for 852 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
16 grams of radioactive material decays into 8 grams in 10 years. How long will it take to decay to 1 gram?
A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Two distinct numbers a and b are chosen randomly from the set of first 20 positive integers. What is the probability that \|a–b\| would not be divisible by 3?
Charan can do a piece o work in 24 days, which Hari alone can finish in 19 days. Both together work for 7 days and then Hari leaves off. How many days will Caran take to finish remaining work?
If 10 men and 2 boys working together, can do nine times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Mira’s expenditure and sayings are in the ratio 3: 2. Her income increases by 10 percent. Her expenditure also increases by 12 percent. By how much per cent does her saving increase?
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,700 at the end of nine years, how much money did he borrow?
A will was written such that an estate would be divided among four beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. If one of the beneficiaries received $40,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the four beneficiaries?
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/5 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
A box contains three red marbles and 1 green marble. If the marbles are removed from the box one at a time, in random order, what is the probability that all three red marbles are removed before the green marble?
A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 70% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 30 years older than Ayush who is 10 years old. At what age did the father get married ?
Find the cost of fencing around a circular field of diameter 22 m at the rate of Rs.2.50 a meter?
Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?
If K is the sum of reciprocals of the consecutive integers from 23 to 28, inclusive, then K is closest in value to which of the following?
An Air Cooler is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
The average age of a committee of 12 members is 40 years. A member aged 55 years retired and his place was taken by another member aged 39 years . The average age of present committee is;
The average mark obtained by 22 candidates in an examination is 48. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
What is the probability of flipping a fair coin eight times and the coin landing on heads on at least two flips?
six friends go to pizza corner where there are different types of pizza available. six different flavours are there and they have to select 2 flavours from 6 flavours.In how many ways they can select?
A radio station has to choose five days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any five of the seven weekdays can be chosen. How many different five-day combinations of the seven weekdays can be constructed?
14 men can complete a piece of work in 22 days. In how many days can 18 men complete that piece of work?
If the complement of a certain angle is four times the measure of that certain angle, then what is the measure of that certain angle?
Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a > 1.5. Which of the following operations would decrease the standard deviation of Set J?
The measurement of a rectangular box with lid is 25cmx6cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
A river 2m deep and 45 m wide is flowing at the rate of 5 kmph the amount of water that runs into the sea per minute is?
A train passes a train coming from opposite direction, speed 32 kmph in 25 sec. If the speed of the train is 40 km/hr. What is the length of train?
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 104 pounds?
A motorcyclist goes from Nagpur to Pune, a distance of 500 kms at an average of 100 kmph speed. Another man starts from Nagpur by car 3 Â½ hours after the first, and reaches Pune Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
A and B starts a business with Rs.8000 each, and after 6 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of grass ?
If 4XZ + YW = 10 and XW + YZ = 20, what is the value of the expression (2X + Y)(2Z + W)?
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.86. How much was lent at 5%?
A cistern 4 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface?
Hal bought walnuts at 5 for $1 and apples at 4 for $1.He spent a total of $19.50 . He sells both at 20 for $5 and as a result gains $3 .How many walnuts did Hal buy ?
A cubical tank is filled with water to a level of 1 foot. If the water in the tank occupies 16 cubic feet, to what fraction of its capacity is the tank filled with water?
A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 10% below the cost price of the claimed weight.
Find the area of a parallelogram with base 24 cm and height 16 cm?
How many liters of water must be evaporated from 50 liters of a 2 percent sugar solution to get a 5 percent sugar solution?
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.2 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:
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is.
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 6,000 have been vaccinated against both, how many have been vaccinated only against rubella?
Each of the following equations R has at least one solution EXCEPT
A car finishes a journey in ten hours at the speed of 50 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?
AT + CD = AAA, where AT and CD are two-digit numbers and AAA is a three digit number; A, T, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
The labeled price of a table is Rs. 8,000. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 12 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
If the sides of a square are multiplied by 10, the area of the original square is how many times as large as the area of the resultant square?
Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 9/49, what is the probability that the next one she draws will be pink?
In a race, the odds in favour of cars P, Q, R, S are 1 : 3, 1 : 4, 1 : 5 and 1 : 6 respectively. Find the probability that one of them wins the race.
At a game of billiards, A can give B 15 points in 60 & A can give C 20 points in 60. How many points can B give C in a game of 90?

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