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Set W consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set W by 50, set Y is derived by multiplying each term in set W by 1.5, and set Z is derived by dividing each term in set W by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation? |
Sonika deposited Rs.4500 which amounted to Rs.8400 after 2 years at simple interest. Had the interest been 4% more. She would get how much? |
How many of the factors of 280 are divisible by 2? |
The average (arithmetic mean) of eight numbers is 43.2. If the sum of half of these numbers is 156.4, what is the average of the other half? |
The very opening sentence of the passage speaks about the ‘semantic conspiracy’ which means linguistic intrigue; a trickery usage of language. |
A mother bought three dress for her triplets daughters(one for each) and put the dresses in the dark. One by one the girls come and pick a dress.
What is the probability that no girl will choose her own dress? |
A stock trader originally bought 100 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of m for how many dollars was each share sold? |
If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A- B is also a odd number. |
The average of first 10 natural numbers is? |
The difference between the compound interest and simple interest on a certain sum of money at 5% per annum for 2 years is 45. Then the original sum is? |
A reduction of 30% in the price of oil enables a house wife to obtain 9 kgs more for Rs.1800, what is the reduced price for kg? |
The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 110 meters? |
The sum of three consecutive numbers is 102. The greatest among these three number is: |
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions G represents the final price of the item? |
A bag contains 5 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag. Find the probability that one ball is red and one is green. |
If P is a prime number greater than 5, what is the remainder when P^2 is divided by 8. |
Two cars were driven by C and B. They were 580 miles apart when they started driving towards each other.C's car had traveled at a speed of 20 miles per hour, 4 hours per day for 5 days when it had met B's car. If B had driven 3 hours per day for 5 days, what was B's speed in miles per hour? |
If the price of a certain computer increased 30 percent from x dollars to 351 dollars, then 2x = |
A train 440 meters long is running with a speed of 55 kmph. The time taken by it to cross a tunnel 180 meters long is? |
Rahul take a loan of sum Rs.550.This is to be repaid in two equal annual installments. If the rate of interest be 20% compounded annually,then find the value of each installment? |
Mr. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck |
A person can row at 9 kmph and still water. He takes 5 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? |
In a kilometer race, A beats B by 60 meters or 15 seconds. What time does A take to complete the race? |
How many positive integers less than 10,000 are such that the product of their digits is 210? |
How many multiples of 2 are there between 1 and 56, exclusive? |
A Rent Rs. 5000 to B for 2 years and Rs. 3000 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: |
Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next? |
The manufacturing cost of a shoe is Rs.210 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains |
suppose that 10 teams participated in a soccer tournament where each
team played exactly one game with each of the other teams. The winner
of each game received 3 points, while the loser received 0 points. In case
of a tie, both teams received 1 point. At the end of the tournament, the
10 teams received a total of 130 points. How many games ended in a tie? |
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? |
Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates? |
If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 3460, which of the following could be the values of x, y, and z?
I. x=21,y=42,z=36
II.x=20,y=41,z=30
III.x=20,y=42,y=36 |
20 men do a work in 20days. How many men are needed to finish the work in 10days? |
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is? |
The sum of three consecutive even numbers is 36. Find the middle number of the three? |
Tough and Tricky questions: Combinations.
six 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? |
Pipe A fills a tank of capacity 950 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full? |
A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 9 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party? |
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes? |
Robert's salary was decreased by 40% and subsequently increased by 40%. how much percentage does he lose? |
The average height of 12 girls out of a class of 20 is 161 cm. and that of the remaining girls is 158 cm. The average height of the whole class is : |
Tracy's mum gave her $64 to go shopping. She bought a jumper for $20, a T-shirt for $10, and a pair of shoes for $9. How much money does Tracy have left? |
Patty ran a marathon at an average speed of 3 mph for some time and then at an average speed of 6 mph for the rest of the marathon. If she made no stops during the run and her average speed for the entire marathon was 5 mph, for what fraction of the total time did she run at 3 mph? |
If 8 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes |
We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value R of the ratio A/B? |
The length of the rectangular field is double its width. Inside the field there is square shaped pond 7m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field? |
A train 150 meters long completely crosses a 320 meters long bridge in 40 seconds. What is the speed of the train is? |
If x is a sum of all even integers on the interval 13...63 and y is their number, what is the GCD (x, y)? |
If 10power2y=25, the 10power-y equals: |
The missing term in the sequence 2, 3, 5, 7, 11, ... 17, 19 is |
Two employees M and N are paid a total of Rs. 550 per week by their employer. If M is paid 120 percent of the sum paid to N, how much is N paid per week? |
A grocer has 400 pounds of coffee in stock, 40 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated? |
A man can do a piece of work in 4 days, but with the help of his daughter, he can do it in 3 days. In what time can his daughter do it alone? |
Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999? |
Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 18 times as heavy as water? |
What is the greatest positive integer x such that 3^x is a factor of 9^6? |
In a certain country, 60 percent of the population likes basketball, and 31 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf? |
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 18. By how much do the two digits differ? |
A young and energetic cobbler fixes 3650 pairs of shoes every year, while an old yet experienced cobbler fixes 20% less than the young cobbler. In a shoe factory there are two old and one young cobblers working together. How many shoes can the factory fix every day assuming that there are 365 days a year? |
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes? |
A train of length 250 m crosses a bridge of length 150m in 25 seconds. What is the speed of train? |
30% of a number when subtracted from 91, gives the number itself. Find the number |
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is? |
If the average of 10,11,12,13,14,15,16,17,18 and x is 23, what is the value of x? |
Mrs. Napier has 67 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over? |
Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,40,000 earned at the end of 3 years from the start of the business in 1999? |
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on either side all 5 times? |
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? |
In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 3 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet? |
The rate of Interest on a sum of money is 2% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is |
In the Street ,there are 60% of the population lived in the one side at the Beginning of the Year 2000 and the rest lived in the Other side. During the 2000 Year, the population of Street grew by 8%. If the population in the One grew by 4%, by how much did the population grow in the remaining side? |
If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z? |
The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is : |
A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 3 days.In how many days B alone can do the work? |
How many different five letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R? |
what is the least number by which 25,725 must be divided to get a number perfect square |
During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 6 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount? |
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 4 such machines to perform the same job? |
In digging a pond 30m*20m*10m the volumes of soil extracted will be ? |
How many terms are in the G.P. 3, 6, 12, 24, ......., 192 ? |
(112 x 5^4) = ? |
Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for 85 cents, and Zachary buys a pencil and an eraser for 45 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.) |
A speed of 55 metres per second is the same as : |
An investor receives a total combined return of 7% on his two different investments. On his $30,000 investment he receives a return of 6%. What is the return on his $20,000 investment? |
A person purchased a TV set for Rs. 2100 and a DVD player for Rs. 300. He sold both the items together for Rs. 3168. What percentage of profit did he make? |
If A's height is 35% less than that of B, how much percent B's height is more than that of A? |
The sum of four consecutive even numbers is 292. What would be the largest number? |
If P gets 25% more than Q, then by what percent does Q get less than P? |
In an engineering class that contained 125 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly? |
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is |
If a(a + 2) = 120 and b(b + 2) = 120, where a ≠ b, then a + b = |
IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT |
In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars? |
The average of 11 numbers is 12.8. If the average of the first six numbers is 12.4 and that of the last six numbers is 12.2,then the middle number is? |
7 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond? |
From a pack of 52playing cards, 2cards are drawn togetherat random. Find the probability of both the cards being king? |
If the length of the sides of two cubes are in the ratio 5:1, what is the ratio of their total surface area? |
In an election, candidate A got 85% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate? |
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12400 after a year? |
A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train? |
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