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If “&” implies “Add”, “@” implies “multiply”, “#” implies “subtract”, “$” implies “division”, 12 & 3 @ 2 # 32 $ 4 = ?
In how many years, Rs. 150 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
A certain team has 10 members, including Joey. A three-member relay team will be selected as follows: one of the 10 members is to be chosen at random to run first, one of the remaining 9 members is to be chosen at random to run second, and one of the remaining 8 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
The cross-section of a cannel is a trapezium in shape. If the cannel is 14 m wide at the top and 4 m wide at the bottom and the area of cross-section is 380 sq m, the depth of cannel is?
A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare, the jackal takes 7 leaps. Find the ratio of the speed of the hare to the speed of the jackal.
A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member?
50 liters of a mixture contains milk and water in the ratio 3:2. If 5 liters of this mixture be replaced by 5 liters of milk, the ratio of milk to water in the new mixture would be?
If the cp of 12 rubbers is equal to the sp of 8 rubbers, the gain %is ?
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 15% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
The function f is defined for all positive integers w by the following rule. f(w) is the number of positive integers each of which is less than w and has no positive factor in common with w other than 1. If p is any prime, number then f(p)=
Abhijit started a business investing 2000. Anuja joined him after 8 months with an amount of 6000 and Sunil joined them with 60,000 after another 4 months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, three years after Abhijit started the business?
If p and q are prime numbers, how many divisors does the product p^6 * q^7 have?
If 9^y = 3^12, what is y?
A fruit drink is made of orange, watermelon, and grape juice, where 15 percent of the drink is orange juice and 60 percent is watermelon juice. If the drink is made with 35 ounces of grape juice, how many ounces is the drink total?
The speeds of three asteroids were compared. Asteroids X-13 and Y-14 were observed for identical durations, while asteroid Z-15 was observed for 2 seconds longer. During its period of observation, asteroid Y-14 traveled three times the distance X-13 traveled, and therefore Y-14 was found to be faster than X-13 by 1000 kilometers per second. Asteroid Z-15 had an identical speed as that of X-13, but because Z-15 was observed for a longer period, it traveled five times the distance X-13 traveled during X-13's inspection. Asteroid X-13 traveled how many kilometers during its observation?
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
A train covered half of the distance between stations A and B at the speed of 48 km/hr, but then it had to stop for 15 min. To make up for the delay, it increased its speed by 53 m/sec and it arrived to station B on time. Find the distance between the two stations and the speed of the train after the stop.
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have?
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 16,000 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 winning candidate got five times as many votes as the other candidate, how many people have voted in each round?
Working together, John, David, and Roger require 2 1/4 hours to complete a certain task, if each of them works at his respective constant rate. If John alone can complete the task in 4 1/2 hours and David alone can complete the task in 9 hours, how many hours would it take Roger to complete the task, working alone?
Jimmy drove the first half of a 50-mile trip in x hours and the second half in y hours. Which of the following is equal to Jimmy’s average speed, in miles per hour, for the entire trip?
The greatest number that exactly divided 105, 1001 and 2436 is :
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8091 for a computer table, then what was the cost price of the computer table?
In 4 years, Raj's father age twice as raj, Two years ago, Raj's mother's age twice as raj. If Raj is 32yrs old in eight yrs from now, what is the age of Raj's mother and father?
Two trains, each 100 m long, moving in opposite directions, cross other in 4 sec. If one is moving twice as fast the other, then the speed of the faster train is?
The ratio of two numbers is 2 : 3 and their H.C.F. is 4. Their L.C.M. is
A camera lens filter kit containing 5 filters sells for $57.50. If the filters are purchased individually, 2 of them are priced at $10.45 each, 2 at $12.05 each, 1 at $17.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
The sector of a circle has radius of 14 cm and its perimeter 50 cm. Find its central angel?
Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings
In a simultaneous throw of 2 dice what is the probability of getting a total of 4?
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?
Three houses of the same type were advertised to be let in a locality. four men made separate applications for a house. What is the probability that each of them applied for the same house.
Tough and Tricky questions: Probability. Medical analysts predict that one over five of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
A welder received an order to make a 1 million liter cube-shaped tank. If he has only 2x3 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)
If 8 < x < 9, and x^2 = (10 – y)(10 + y), which of the following is a possible value for y?
If 2x + 3y = 26; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
W=(429)^2 * 237 * (1243)^3 is thrice of ?
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.
1,5,13,25,__
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-130 inclusive is the digital sum a multiple of 7?
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 300-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?
What will be the cost of building a fence around a square plot with area equal to 49 sq ft, if the price per foot of building the fence is Rs. 58?
A pump can fill a tank with water in 6 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
The speed of a boat in still water is 60kmph and the speed of the current is 17kmph. Find the speed downstream and upstream?
If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {18} + {16}?
A man can row with a speed of 15 kmph in still water. If the stream flows at 3 kmph, then the speed in downstream is?
Can you find the smallest non fractional number such that If the number gets divided by 6 , we get the remainder of 1; If the number gets divided by 7, we get the remainder of 2 If the number gets divided by 8 , we get the remainder of 3; If the number gets divided by 9 , we get the remainder of 4.
A sum is invested at compounded interest payable annually. The interest in the first two successive years was Rs. 400 and Rs. 420. The sum is
A train 330 m long passed a pole in 11 sec. How long will it take to pass a platform 760 m long?
7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe boundary ofthe park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
The cost price of 8 articles is equal to the selling price of 5 articles. What is the profit percent?
Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is three miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Goldenrod and No Hope are in a horse race with 6 contestants. How many different L arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
A man can row 8 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.75 per kg?
The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 15, and the difference between the total number of strawberries and the total number of blueberries would increase by 87. Each blue box contains how many blueberries?
The units digit of (35)^(87) + (93)^(53) is:
A train covers a distance of 1000 km in 10hrs. Find the speed of the train?
The distance light travels in one year is approximately 5,870,000,000,000 miles. the distance light in 100 year is
The breath of a rectangular landscape is 8 times its length. There is a playground in it whose area is 3200 square mtr & which is 1/9 rd of the total landscape. What is the breath of the landscape?
If Re.50 amounts to Rs.250 over a period of 30 years. What is the rate of simple interest?
A train 440 meters long is running with a speed of 45 kmph. The time taken by it to cross a tunnel 180 meters long is?
4,25,49,121,169,289,
The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 10 cents less than the price of commodity Y?
If there are 80 red and blue marbles in a jar, and the ratio of red to blue marbles is 2:3, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
If 2994 ÷14.5 = 172, then 29.94 ÷ 1.45 = ?
John makes $45 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?
If the price of gasoline increases by 25% and a driver intends to spend only 20% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
If a is a positive integer then 5^(2a) + (625^a)/(5^(2a)) =
A man walks at the speed of 5 km/hr and runs at the speed of 10 km/hr. How much time will the man require to cover the distance of 28 km, if he covers half (first 14 km) of his journey walking and half of his journey running ?
A and B invest money in the ratio 6:7 and they has loss of Rs.7800 at the end of year. what is the share of loss of B?
Maddie has 15 apples, if she give 8 to mike, how many does she have left?
During a certain two-week period, 72 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 6 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 of A, were rented during that two-week period?
Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 1200 then loss of Pyarelal?
The profit earned by selling an article for 832 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $2.5 million from its orange exports, how much money does it generate from its yearly total of exports?
8 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 26 have taken the preparatory course and 65 have not taken the course. How many members are there in the swim club?
Set A = {1, 2, 3, 4, 5, 6, e} Which of the following possible values for e would cause Set A to have the smallest standard deviation?
7 people sit at the round table. In how many ways can we sit them so that Bob and Bill don't sit opposing each other?
Johnny makes $6.75 per hour at his work. If he works 10 hours, how much money will he earn?
Veena ranks 44rd from the top in a class of 182. What is her rank from the bottom if 22 students have failed the examination?
In a bag there are a certain number of black balls and blue balls. The probability of picking up exactly 1 blue ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of black balls to blue balls in the bag
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Vinay spends 30% of his salary on house rent and 55% of the remaining money on food and clothes. He saves the remaining amount. If he saves ?59724 yearly, how much amount does he spend on food and clothes per month ?
If x^2+(1/x^2)=6, x^4+(1/x^4)=?
If the length of a rectangle is doubled and its breadth is tripled, what is the percentage change in its area?
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white?
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 42 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC = 4 cm, and BD = 8 cm, what is CD, in centimeters?
Find the odd man out. 1, 9, 25, 4, 36, 65, 49