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Simplify: 1005-1000+10
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 250cm when it touches the floor on third time. What is the value of the original height?
A drum has a combination of 2 liquids X and Y in the proportion 7:5 when 9 L of combination are taken out and the Drum is filled with Y, the proportion of X and Y becomes 7:9. Then how many litres of liquids X was obtained by the Drum initially?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 10 minutes, then the area of the park (in sq. m) is:
The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
A soccer store typically sells replica jerseys at a discount of 30 percent to 70 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest pos...
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 400 students and the middle school enrolled 200 students. Later, the middle school transferred s dollars to the high school so that they would have received the sam...
What is the perimeter of a square with area p^2/16 ?
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 3 liters of water cost?
The difference between the simple interest received from two different sources on Rs. 1000 for 3 years is Rs. 13.50. The difference between their rates of interest is?
Find the compound interest on $1200 for 6 years at 20% p.a. if CI is component yearly?
A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
What is the value of the following expression? (1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (24^2 – 1))
If y ≠ 3 and 2m/y is a prime integer greater than 2, which of the following must be true? I. m = y II. y = 1 III. m and y are prime integers.
The sum of two numbers is 75 and their difference is 20. Find the difference of their squares.
The value for G=(0.889 × 55)/9.97 to the nearest tenth is
Two quarts containing 6⁄7 water and 1/7 formula are mixed with three quarts containing 7⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
The price of a book is increased from $300 to $360. What is the % of increase in its price?
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 75% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in ter...
The speed of a car is 65 km in the first hour and 45 km in the second hour. What is the average speed of the car?
4, 16, 36, 49, 64 ?, F ind the missing number(?).
A train is running at a uniform speed of 80 kmph. It passes a railway platform in 15 seconds. If the length of the platform is 130 m,then the length of the train is
Sophika can buy watches at a price of P dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of X by selling Y watches, then in terms of P and X and Y, what is the percent of the markup from her buy price to her sell price?
Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 2 feet were added to each fence, which of the following must be true? I) X is twice as long as Y. II) Y is 2 feet shorter than Z. III) X is longer than Z.
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
If a > 1, which of the following is equal to (2a + 6)/(a^2 + 4a + 3)?
A motorist travels to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. His average speed for the whole journey in km/hr is ?
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Two different primes may be said to “rhyme” around an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
One night 25 percent of the female officers on a police force were on duty. If 500 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
In a group of Peacocks and cows, the total number of legs are 36 more than twice the no. of heads. Find the total no.of buffaloes.
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Which of these must the factor W of the product of four consecutive even integers:- 1) 48 2) 64 3) 96 4) 192 5) 80
There are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. If it was decided that the positions would be filled at random, then what is the probability Q that the both positions will be taken by members of just one party?
If there are 4 peanuts in a box and Mary puts 12 more peanuts inside, how many peanuts are in the box?
A qualified worker digs a well in 4 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?
Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 850 as total interest. What was the amount he lent out at 8% pa.a?
What is the next number of the following sequence 3^2,27,3^4,243
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is?
The number of sequences in which 10 players can throw a ball, so that the youngest player may not be the last is ?
A and B are two partially filled buckets of water. If 5 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 3 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Two bullet trains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
A batsman scored 120 runs which included 10 boundaries and 6 sixes. What % of his total score did he make by running between the wickets
In the interior of a forest, a certain number of apes equal to the square of one-sixth of the total number are playing and having great fun. The remaining five apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What...
Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
If x and y are integers and x^2*y is a negative odd integer, which of the following must be true? I. xy^2 is odd. II. xy is negative. III. x + y is even.
Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 240 feet in circumference.After how many minutes are the three of them together again?
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
P is three times as fast as Q and working together, they can complete a work in 16 days. In how many days can Q alone complete the work?
Set A: {1, 3, 6, 9, 12, 15,18} If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 5 and 8 slices per customer. How many slices cannot be bought?
A room contains 240 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
If a and b are positive integers such that a/b = 9.32, which of the following must be a divisor of a
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
The average of 11numbers is 50. Out of 11numbers the average of first 6no. is 58, and last 6numbers is 65 then find 6th number?
Points X, Y, and Z lie, in that order, on a straight railroad track. The distance from point X to point Y is twice the distance from point Y to point Z. A train traveled from point X to point Z without stopping. The train's average speed when traveling from point X to point Y was 300 miles per hour and the train's aver...
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 80 metres?
During a recent track meet, Peter ran x meters of the 100 meter dash in 8 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash?
Average between two sets of numbers is closer to the set withmore numbers?
Exactly one side of a certain 10-sided die are red. What is the probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll?
With out any halt a train travels a certain distance with an average speed of 75 km ph , and with halts it covers the same distance at an average speed of 60 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
20 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
A cricketer has certain average for 5 innings. In the 6 inning he scored 90 runs, there by increasing his average by 8 runs. His new average is
The average salary of Raj and Roshan is Rs. 4000 but the average salary of Raj, Roshan and Thomas is Rs. 5000. What is the salary of Thomas?
300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
A movie buff buys movies on DVD and on Blu-ray in a ratio of 17:4. If she returns 4 Blu-ray movies, that ratio would change to 9:2. If she buys movies on no other medium, what was the original number of movies purchased?
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope...
It takes Avery 3 hours to build a brick wall while Tom can do it in 2.5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
A and B together have $1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Tough and Tricky questions: Word Problems. AC Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cos...
A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Find the value of X: 2a^2-7a+10 = 14
If one type of tobacco costs Re.1/- per kg and other type costs Rs. 5/- per kg. What quantity of first type and second type are mixed so that 100 kg of mixture costs Rs. 100/-?
The moon revolves around the earth at a speed of approximately 0.2 kilometers per second. This approximate speed is how many kilometers per hour?
Find the odd man out. 1, 16, 81, 255, 625, 1296
Two trains for Delhi leave Jaipur at 8:30 am and 9:00 am and travel at 60 km/hr and 75 km/hr respectively. How many km from Jaipur will the two trains meet?
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 2 can be used only once?
There are two positive numbers in the ratio 3:11. If the larger number exceeds the smaller by 32, then what is the smaller number?
If two dice are thrown together, the probability of getting an even prime number on the dice is
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 30%, what should be the sale price of the mixed tea?
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?
In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.
What is the remainder when 43^89 is divided by 5?
The average (arithmetic mean) of the even integers from 0 to 40 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 20 inclusive?
The HCF and LCM of two numbers m and n are respectively 5 and 210. If m + n = 75, then 1/m + 1/n is equal to
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of (r + s)^2?
There are 3 income earning members in a family namely X,Y&Z. .Total monthly income of the family is $12200.Ratio of their income 12:15:16.Find out the income of Z?
Out of 20 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
A corporation that had $2 billion in profits for the year paid out $100 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9)
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.72. Find the principal?
How many odd numbers between 10 and 1,300 are the squares of integers?

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