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The sum of Two Numbers X, Y is 54. The Difference is 28 what is the square value of Y? |
A pipe can empty 2/3rd of a cistern in 12mins. In 8 mins, what part of the cistern will be empty? |
Two electronic musical instruments were purchased for Rs. 8000. The first was sold at a profit of 40% and the second at a loss of 40%. If the sale price was the same in both the cases, what was the cost price of the electronic musical instruments? |
The sum of ages of 4 children born 1 years different each is 38 years. What is the age of the Elder child? |
In how many ways a committee, Consisting of 4 men and 6 women can be formed from 8 men and 10 women? |
Two pipes A and B can fill a tank in 2 and 6 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank? |
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank? |
How many ways could three bottle caps can be used to close five bottles of which two of the bottles will remain opened? |
If the simple interest on a sum of money for 4 years at 8% per annum is Rs. 560, what is the compound interest on the same sum at the rate and for the same time? |
A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth? |
How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and each letter can be used only once? |
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone. |
10 people are assigned a library of audio clips to be transcribed in 100 days. If 2 people have to take 25 days leave in between, how many more people should be added on the last day to complete the task in 100 days itself? |
In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20? |
A car travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the car is |
Ron begins reading a book at 2: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 4: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the sam... |
In a class there are 20 boys and 21 girls. In how many ways can a boy and a girl be selected? |
In a class of 36 students 26 play football and play 20 long tennis, if 17 play above, many play neither? |
if (p/q)-(q/p)=21/10
then what ia the value of(4p/q)+(4q/p) |
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table? |
Average weight of 10 people increased by 3 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is |
The average age of 32 students in a group is 16 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years? |
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ? |
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes? |
Two trains 100 m and 60 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? |
From a group of 25 astronauts that includes 13 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible? |
A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 1/4 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs. |
Tough and Tricky questions: Combinations.
Five contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded? |
If -2 < h < 0, which of the following has the greatest value? |
A local business made a $125,000 profit on its first $1 million in sales and a $80,000 profit on its next $2 million in sales. By approximately what percent did the ratio of profit to sales decrease from the first $1 million in sales to the next $2 million in sales? |
A 6 litre sol is 20% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ? |
A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what s... |
For any two numbers X and Y , define X# Y=X+Y -XY . If X,Y>0.5, then X#X < Y#Y if
i. 1>X>Y
ii. 1>Y>X
iii. Y>X>1 |
Find the distance covered by a man walking for 24min at a speed of 10km/hr? |
There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts F needed to confirm that each of the 5 keys matches each of the 5 locks? |
Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum K in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her origina... |
A man is walking at the rate of 6 km/hr crosses a bridge in 15 minutes. The length of the bridge is |
if a three-digit number is selected at random from the integers 100 to 999, inclusive, what is the probability that the first digit and the last digit of the integer will both be exactly two less than the middle digit? |
Anil purchased 30 kg of wheat at the rate of Rs. 22 per kg and 20 kg of wheat at the rate of Rs. 24 per kg. He mixed the two. Approximately at what rate per kg should he sell the mixture to make 25% profit? |
A pipe can empty 2/3rd of a cistern in 12mins. In 5 mins, what part of the cistern will be empty? |
The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second? |
If a < b < c , which of the following must be true?
(I) a < b^2
(II) b − a > c
(III) a^2 < b^2 < c^2 |
According to a survey, at least 50% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three? |
A pen factory stores its toys in either a big box or a small box. The big box can store 27 pens while the small box can store 18 pens. If the factory is to store 112 newly manufactured pens, what is the least number of pens that will be left unboxed? |
A train passes a station platform in 36 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? |
If the price of petrol increases by 44, by how much must a user cut down his consumption so that his expenditure on petrol remains constant? |
The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (12,0) and (12,6). If a line through (1,1) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line? |
A envelop weight 8.5 gm,if 800 of these envelop are sent with an advertisement mail. How much wieght? |
If XY denotes X is raised to the power Y, Find the last two digits of 19413843+ 19614181 |
Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together? |
In a camp, there is a meal for 180 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ? |
A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 1
II. -3
III. 5 |
In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible score B that Lindsey could... |
Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 40 km apart both 3 and 6 hours after start, then find the distance between the two stations. |
The measures of the 2 acute angles of a triangle are in the ratio of 2:7. What are the measures of the 2 angles? |
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent? |
In a kilometer race, A beats B by 50 meters or 5 seconds. What time does A take to complete the race? |
In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs.72 per Kg so that the mixture must be worth Rs.64.50 per Kg? |
The perimeter of a semi circle is 180 cm then the radius is? |
A train 250 m long running at 72 kmph crosses a platform in 20 sec. What is the length of the platform? |
A certain university will select 1 of 9 candidates eligible to fill a position in the mathematics department and 2 of 15 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates... |
In current of a stream runs at 2 km/hr. A motor boat goes 30 km upstream and back again to the starting point in 20 hours. The speed of the moter boat in still water is: |
A fair coin is tossed 15 times. What is the probability of getting more heads than tails in 15 tosses? |
A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls? |
From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is: |
In a shower, 8 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: |
In what time will a railway train 90 m long moving at the rate of 44 kmph pass a telegraph post on its way? |
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds? |
Let the polynomials be:
P1(x)=3x2−7x+8,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)= |
Two trains of lengths 150m and 180m respectively are running in opposite directions with a speed of 30 km/hr and 24 km/hr respectively. How much time will they take to cross each ther? |
3x^2-6x+3 = 0
Find the above equation find the value of x |
A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 30% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk? |
Sarah's seafood restaurant gets a delivery of fresh seafood every day, 6 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total cost, in dollars, ... |
A three digit non-zero number 'abc' in base 5, when converted to base 7, becomes 'cba'. Which of the following is necessarily true? |
A photo-mat shop charges $0.6 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $36 if each film contains 36 photos? |
In how many ways can a four-letter password be chosen, using the letters A, B, C, D, and/or E, such that at least one letter is repeated within the password? |
The two lines y = x and x = -5 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z? |
In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and seven different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of... |
During a certain two-week period, 80 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 4 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms o... |
What percent of selling price would be 34% of cost price if gross profit is 26% of the selling price? |
Two horses begin running on an oval course at the same time. One runs each lap in 9 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead? |
If the product 4864 x 9 P 2 is divisible by 12, then the value of P is: |
the probability that I will sit next to Ann is 1/12.
the probability that I won't sit next to Alice is 11/12.
What is the probability that I will sit next to Ann and Alice? |
What is 2 2/3 - 1 1/4 divided by 1/2 - 1/4 ? |
A car travelling with 5/7 of its actual speed covers 42km in 1hr 40 min 48 sec find the actual speedof the car? |
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes? |
A chemical supply company has 60 liters of a 20% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution? |
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years? |
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3294, how much was it in the beginning? |
A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 6 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of r... |
The total of the ages of Jai, Prajan and Sarath is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Sarath? |
After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it? |
In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons? |
A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?. |
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter? |
An insect leaps 42 centimeters in 1.2 seconds. What is its speed? |
Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? |
Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is: |
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is? |
If x < 0 and 0 < y < 1, which of the following has the greatest value Q? |
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