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On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of...
If X = 2 + 1/(1+1/(1-1/2))then the value of 6x+7/3?
A security guard at a certain store is instructed to check the receipt of one out of every five customers as they are leaving the store. If, on the guard's shift, 15 customers leave the store, how many different samples of customers could have been selected to have their receipts checked?
A photo-mat shop charges $0.55 for the first photo inside a film, and 30% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 32 photos?
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Buses leave town B at 3 pm and every 10 hours after that. Buses leave town C at 4pm and every 15 hours after that. If the buses follow this schedule beginning on a Monday, what is the earliest day A on which the buses leave at the same time.
78, 64, 48, 30, 10, (...)
In what ratio should the profit of Rs.8000 be divided if X starts a business with an investment of Rs. 20000, Y invests Rs.7500 for 4 months and Z invests Rs.15000 after 3 months from the start of the business.
If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 5% and sold only 205 tickets as a result, what percent less would last month's revenue be compared to th...
How long does a train 180 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
In the junior basketball league there are 21 teams, 1/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad?
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 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...
The average age of applicants for a new job is 10, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum ...
Robert purchased $2000 worth of US saving bonds. If bonds are sold in $50 or $100 denominations only, which of the following CANNOT be the number of US saving bonds that Robert purchased?
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constan...
Find the unit digit in the product 274318577*313
The sum of two numbers is 528 and their H.C.F is 33.The number of pairs of numbers satisfying the above conditions is:
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 5 boys when No boy gets more than one prize?
If a: b :: 3 : 4, then what is (5a+6b): (a-2b)?
If 40% 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?
How many integers between 1 and 10^20 are such that the sum of their digits is 2?
If g(x) = ax^5 + bx^3 + 5, and g(5) = 10, then g(–5) =?
The average mark obtained by 22 candidates in an examination is 49. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
In how many ways can a cricket eleven be chosen out of a batch of 15 players ?
A shopkeeper has 280 kg of apples. He sells 50% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m?
Which of the statements is true for 3111 & 1714
A bullet train is moving at a speed of 132 km/hr. If the length of the bullet train is 110 metres, how long will it take to cross a railway platform 165 metres long?
If x is an odd integer and y = 2x + 8, which of the following CANNOT be a divisor of y?
Due to 10% decrease in the price of sugar and John can buy 3kg more sugar in Rs100 , then find the CP of sugar?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A bag contains 7 red, 9 blue and 5 green balls. If 3 balls are picked at random, what is the probability that both are red?
In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
If 18 persons can build a wall 140 m long in 42 days, the number of days that 30 persons will take to complete a similar wall 100 m long, is.
The wheel of an engine 30/7 metres in circumference makes seven revolutions in 4seconds. Find the speed of the train in km per hour?
At what rate percent of simple interest will a sum of money double itself in 44 years?
The side of a square is increased by 25% then how much % does its area increases?
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 35 kmph. Of how many minutes does the train stop per hour?
A rectangular field has a length 10 meters more than it is width. If the area of the field is 171, what is the length (in meters) of the rectangular field?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 30 km/hr and 90 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Dames school has 2000 boys and 5000 girls. What is the percentage increase from boys to total attendance and girls to total attendance?
What is the minimum number of people to join into this group so that when they are grouped into 5, none will remain ungrouped ? Without newcomers when they are grouped into 6, 4 of them remain ungrouped and when they are grouped into 9, 7 of then reamin ungrouped.
Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
A shopkeeper sold an article offering a discount of 5% and earned a profit of 31.1%. What would have been the percentage of profit earned if no discount had been offered?
Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
A and B start a business, with A investing the total capital of Rs.25000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.250 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it ...
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 21,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winnin...
If x and y are positive integers and 3 + x + y + xy = 17, what is the value of x + y?
What will come in place of the x in the following Number series? 18, 22, 30, 46 ,78, X
What approximate value should come in place of question mark (?) in the following equation? 33 1⁄3% of 768.9 + 25% of 161.2 – 68.12 = ?
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades. In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?
John and Steve are speed walkers in a race. John is 15 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
If a coin is tossed 3 times what is the probability that it will land either heads 3 times or tails 3 times?
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is ?
The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 8 ?
3 people, harry, john , and Cassie, have speeds of 3 mph, 4 mph and 6 mph respectively. They run a race in which john gives harry a head start of 2 hrs. If both john and Cassie overtake harry at the same time, what head start did Cassie give harry?
A college has classes from 10:00 AM until 1:45 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
If x and y are odd integers, which of the following must always be a non-integer
What is the unit digit in {(6374)^1793 x (625)^317 x (341^491)}?
Each digit 1 through 5 is used exactly once to create a 5-digit integer. If the 5 and the 4 cannot be adjacent digits in the integer, how many 5-digit integers are possible?
Adding two non multiples of E always results in a multiple of E; which of the following must be the value of E ?
When 20 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
If two students starting from same point, walking in the opposite directions with 6km/hr and 9km/hr as average speeds respectively. Then the distance between them after 4 hours is?
There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that no two girls sit together?
How many ways can 4 friends be arranged around a circular dinner table?
A lent Rs. 4000 to B for 2 years and Rs. 2000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is :
Insert the missing number. 12, 25, 49, 99, 197, 395, X
The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 24 kmph?
How many 6 letter words are formed using the letters of the word POLICY?
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand W nor Brand B soap, 60 used only Brand W soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
12 + 13 + 14 + ... 51 + 52 + 53+ 54 = ?
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
a = 5^15 - 125^3 and a/x is an integer, where x is a positive integer greater than 1, such that it does NOT have a factor p such that 1 < p < x, then how many different values for x are possible?
If n is an integer greater than 6, which of the following must be divisible by 11 ?
Set I consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set I, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
14 is what percent of 70?
How many integers between 100 and 300 are there such that their unit digit is odd?
A train starts from Delhi at 6.00 a.m. and reaches Meerut at 10 a.m. The other train starts from Meerut at 8 a.m. and reaches Delhi at 11.30 a.m. If the distance between Delhi and Meerut is 200 km, then at what time did the two trains meet each other?
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Jacob is 10 years old. He is 5 times as old as his brother. How old will Jacob be when he is twice as old?
There are ten houses on the street. Three people live in each house. How many people live on the street?
On the shelf, there are three books of poetry, five novels, and eight reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work?
Sum of the consequent 7 integers equals 1617. Find the no. of prime numbers in that sequence.
To gain profit, a milkman adds 1.5 litre of water to a certain amount of milk. He sells the adulterated milk at Rs.28 per litre and pure milk costs Rs.36 per litre. Find the amount of milk.
How many pieces of 85 cm length can be cut from a rod of 25.5 meters long?
Matt and Peter can do together a piece of work in 24 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
The tank contains 16 Fishes. 5 of the fishes are shark, 6 are jelly fishes, and 5 are gold fishes. If two fishes are randomly selected from the tank, one after the other, what is the probability that both will be jelly fishes?
P can do a work in 15days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
If f(a)=2a+6, what is the value of (f(2a)+f(a)) ?
Two dishonest shop-owners mix water to milk before selling it in the market. The first shop-owner mixes water to milk in the ratio 2 : 1 and second shop-owner mixes water to milk in the ratio 3 : 1. Now if both of them sell the milk at their cost price of $.60 and $.80 respectively, then from which shop-owner should th...
Two trains 140 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?
21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 2/5 % his yearly income diminishes by Rs.61.50. his capital is

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