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Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 20 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled? |
In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case? |
Total of ages of A,B and C at present is 90 years. If ratio of this ages is 2 : 3 : 4 what will be the age of C after 2 years? |
If $30,000 interest is invested in 10 percent simple annual interest for 2 years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the 2 years? |
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 156 per Kg , the price of the third variety per Kg will be? |
What is the % change in the area of a rectangle when its length increases by 35% and its width decreases by 35%? |
A jar contains 7 marbles consisting of an equal number of red, green, and blue marbles. Three marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the Three marbles have been removed? |
A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability R that you can still row the canoe? |
In your bucket you have 6.35 $, and you want to travel to the next state by train and its ticket costs 1.35 $. How many times can you use this train between the two stations?
Suppose that the cost of ticket is the same in both ways! |
a wall clock rings after every 1 hr and a wrist watch beep after every 25 min.they voice together at 12 a.m,time taken to voice again simultaneously? |
For integers U and V, when U is divided by V, the remainder is even. Which of the following must be true? |
Lisa's grade was 75th percentile of the 40 grades for her class. Of the 50 grades from another class, 8 were higher than Lisa's, and the rest were lower. If no other grade was the same as Lisa's grade, then Lisa's grade was what percentile of the grades of the two classes of two classes combined? |
16 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part? |
The sum of the squares of three numbers is 225, while the sum of their products taken two at a time is 200. Their sum is: |
In a shop, the marked price of an article is worked out in such a way that it generates a profit of 33133313. What should be the discount percent allowed on the marked price during a sale, so that the final profit made is 20%? |
If x^2 +2x = 15, then one possible value of x – 4 = |
A sum of Rs.1460 is divided into 14 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls |
The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test? |
The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one year old child. The average age of the family now is |
If 6 men can reap 60 acres of land in 10 days, how many acres of land can 12 men reap in 20 days? |
The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is |
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long? |
If one positive integer is greater than another positive integer by 4, and the difference of their cubes is 208, what is their sum? |
There are 5women and 6 men in an office. In how many ways can a person can be selected? |
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 72% of the required amount. What is the net difference in the expenditure on that product? |
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples? |
A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 2/5 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled? |
A football coach must choose 6 freshers from a team of 12 players. How many different ways can the coach choose the freshers? |
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 4 muffins remained. How many guests did Monica plan on? |
Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1400. What is the gain or loss in percentage? |
A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ? |
Mr. keth sold two pipes at $3 each. Based on the cost, his profit one was 30% and his loss on the other was 15%. On the sale of the pipes. Find the amount of his profit or loss? |
Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a four-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan? |
In a deck of cards there are 52 cards numbered from 1 to 13. There are 4 cards of each number in the deck. If you insert 10 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it? |
A certain number when divided by 65 leaves a remainder 25, what is the remainder if the same no.be divided by 15? |
Which of the following must be divisible by 2 if z is a positive integer? |
A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was? |
Six lights begin to flash together at 12:00 noon and flash respectively at intervals of 4, 5, 6, 7, 8, and 9 seconds. Not including the flash at 12:00 noon, how many more times will all six lights flash together before 4:00 pm (i.e. four hours later)? |
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A? |
Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ? |
Sahil took a loan for 6 years at the rate of 5% per annum on Simple Interest, If the total interest paid was Rs. 1230, the principal was |
In March, Kurt ran an average of 2 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June? |
Rs.8000 become Rs.8820 in a certain interval of time at the rate of 5% per annum of C.I. Find the time? |
A can do a certain job in 20 days. B is 60% more efficient than A. How many days does B alone take to do the same job? |
The length and breadth of a rectangle are raised in the proportion 3:4 and 4:5 correspondingly. What is the proportion of the previous place to the new? |
A ship sails out to a mark at the rate of 18 kmph. and sails back at the rate of 14 kmph. The average rate of sailing is ? |
A businessman earns $28800 in December, thus decreasing his average annual (January to December) earnings by $1300. His average annual earnings would be
Source: CMAT Preparation |
A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings? |
A merchant has selected two items to be placed on sale, one of which currently sells for 25 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item? |
The ages of two persons differ by 16 years. 6 years ago, the elder one was
3 times as old as the younger one. What are their present ages of the elder person? |
How many prime numbers D exist such that 90 < D < 106 and D is a factor of 99999919? |
A man bring 2 cats to his home to eliminate all the mice. They do a half of the work in 5 days, then the man brings 3 more cats. If they hunt at the same rate, how many days will take to hunt all the mice, since the first day? |
next term in series 3,32,405 |
Find the invalid no.from the following series 3, 7, 15, 31, 63, 123, 255 |
A shopkeeper fixes the marked price of an item 40% above its cost price. The percentage of discount allowed to gain 8% is |
A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing? |
A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of same colour. |
A man can row 7.5 km/hour in still water & he finds that it takes him twice aslong to row up as to row down the river. Find the rate of stream? |
A bag contains 6 black and 3 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? |
If a chair was sold for $ 990 at a loss of $ 110. Find the cost price of the chair. |
a, b, c and d are four consecutive numbers. If the sum of a and dis 111, what is the product of b and c? |
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? |
It costs $18 for the first 1/2 hour to rent a bike. After the first 1/2 hour it costs $10 per hour. If a certain customer uses the bike for 2 hours, how much will it cost him? |
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35,x |
In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination? |
A basketball player succeeds with 40% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once? |
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water? |
On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number Y of races we need to conduct to get the top 3 fastest horses? |
A, B, C subscribe Rs. 50000/- for a business. A subscribes Rs. 4000/- more than B and B Rs. 5000/- more than C. out of a total profit of Rs. 35,000/- A receives: |
Which of the following values is the greatest |
The average age of 22 students in a group is 12 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years? |
Raju age after 4 years will be 10 times his age 5 years back, What is the present age of Raju |
If n divided by 8 has a remainder of 1, what is the remainder when 3 times n is divided by 8? |
Set J consists of 18 consecutive even numbers. If the smallest term in the set is -22, what is the range of the positive integers in set J? |
Certain number of worms are placed in a container. The number of worms increases by three times every day and the container is completely filled with worms in 12 days. On what day, the worms were
1/3rd of the container ? |
Which of the following is always true?
(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them. |
A can do a work in 20 days and B can do it in 8 days. In how many days A and B can do the work? |
A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there? |
Two dice are tossed once. The probability of getting an even number at the first die or a total of 8 is |
In a certain pond, 60 fish were caught, tagged, and returned to the pond. A few days later, 60 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond? |
The distance between 2 cities A and B is 1000km. A train starts from A at 10 a.m. and travels towards B at 100 km/hr. Another starts from B at 11 a.m. and travels towards A at 150 km/hr. At what time do they meet? |
Find the sum of first 70 odd numbers |
(39,897)(0.0096)/198.76 is approximately |
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 8^a and y = 7^b, which of the following is a possible units digit of xy? |
In a consumer survey, 82% of those surveyed liked at least one of three products: 1, 2, and 3. 45% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 4% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products? |
How many words can be formed by using all the letters of the word, 'ALLAHABAD' ? |
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x |
Kavi had a stock of 600 bags in his bookshop. He sold 25 on Monday, 70 on Tuesday, 100 on Wednesday, 110 on Thursday and 145 on Friday. What percentage of the bags were not sold? |
Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ? |
The number of arrangements that can be made with the letters of the word PETER so that the vowels occupy the even places? |
What is the sum of the different positive prime factors of 720? |
If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B? |
College T has 1000 students. Of the 250 students majoring in one or more of the sciences,140 are majoring in Chemistry and 170 are majoring in Biology. If at least 50 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from? |
A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 5 hours. Working alone, the outlet pipe can empty out the tank in 10 hours. If it is desired that the tank should be filled, from empty, exactly 8 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ? |
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station? |
Question: What is the remainder when R=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144? |
Alex deposited x dollars into a new account that earned 9 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ? |
The diagonals of the two squares are in the ratio of 2:5 find the ratio of their area . |
A worker's daily wage is increased by 50% and the new wage is $30 per day. What was the worker's daily wage before the increase? |
If six persons sit in a row, then the probability that three particular persons are always together is ? |
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