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A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio Q of revenue from car sales in 1996 to revenue from truck sales in 1996?
If p and q are prime numbers, how many divisors does the product p^3 * q^7 have?
The second day of a month is Friday, What will be the last day of the next month which has 31 days?
John and Peter are among the nine players a basketball coach can choose from to field a five-player team. If all five players are chosen at random, what is the probability of choosing a team that includes John and Peter?
In the Land of Oz only one or two-letter words are used. The local language has 64 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition?
A car started running at a speed of 34 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 70kmph, find the rate at which the train B runs.
A monkey ascends a greased pole 6 meters high. He ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. If this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?
A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability T that the 2 apples selected will include the spoiled one?
A Prototype fuel-efficient car (P-Car) is estimated to get 87% more miles per gallon of gasoline than does a traditional fuel-efficient car (T-Car). However, the P-Car requires a special type of gasoline that costs 27% more per gallon than does the gasoline used by a T-Car. If the two cars are driven the same distance, what percent less than the money spent on gasoline for the T-Car is the money spent on gasoline for the P-Car?
Raja's Bank's saving amount is decreased 40% due to loan payment and current balance is Rs.30000. Find the actual balance before deduction?
If each side of a square is increased by 325% in length, find the percentage change in its area?
The present population of a town is 220. Population increase rate is 10% p.a. Find the population of town after 1 years?
The average age of a group of 10 friends is 15 yr. If one friend leaves the group, the average becomes 16 yr. Find the age of the friend who left the group.
The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 10% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
How many four-digit numbers that do not contain the digits 2, 3, or 6 are there?
All of the citizens of a country have a seven-character or eight-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
A girl swims downstream 112 km and upstream 32 km taking 8 hours each time, what is the speed of the girl in still water?
A train 125 m long crosses a platform 125 m long in 14 sec; find the speed of the train?
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 30%. Lucas used a travel voucher to purchase the vacation package at 20% off this year’s price. In terms of P, how much did Lucas pay?
The largest four-digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case,is :
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.50000?
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
If the average (arithmetic mean) of a and b is 120, and the average of b and c is 150, what is the value of a − c?
Which one of the following is not a prime number?
A builder purchased a plot of land for 80 lakh and constructed a five-storey building inclusive of ground floor on it. How much should he charge for each flat to make 25% profit on his investment on land, if there are five flats on each storey?
A person can swim in still water at 10 km/h. If the speed of water 8 km/h, how many hours will the man take to swim back against the current for 16km?
A polling company reports that there is a 40% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?
electric running buzzer rang after every 60 sec.and second buzzer rang after every 62 sec.both rung together at 10'o clock.after that at what time both rang together?
If both 7^2 and 3^3 are factors of the number a4^36^2*13^11, then what is the smallest possible value of a?
Life expectancy is defined by the formula 2SB/G, where S = shoe size, B = average monthly electric bill in dollars, and G = GMAT score. If Melvin's GMAT score is twice his monthly electric bill, and his life expectancy is 100, what is his shoe size?
Of the 300 math majors at a certain university, 30 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
Given that 1 + 3x > 4 and 2x - 3 < 5, all values of x must be between which of the following pairs of integers?
Find the odd man out 1, 2, 6, 24, 120, 620
5216 x 51 = ?
A cycle is bought for Rs.900 and sold for Rs.1120, find the gain percent?
Which of the following integers can be written as both the sum of 5 consecutive odd integers and 7 consecutive odd integers?
A & B are two towns. A person covers the distance from A to B on cycle at 17kmph and returns to A by a boat running at a uniform speed of 8kmph. His average speed for the whole journey is
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
A right triangle ABC has to be constructed in the xy-plane so that the right angle is at A and AB is parallel to x axis. The coordinates of A, B and C are to satisfy the inequalities -3 ≤ x ≤ 5 and 2 ≤ y ≤11 and x and y are integers. The number of different triangles that can be constructed with these properties are?
Solution Y is 30 percent liquid X and 70 percent water. If 4 kilograms of water evaporate from 8 kilograms of solution Y and 4 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
If the area of a circle decreases by 20%, then the radius of a circle decreases by
A man can hit the target once in four shots. If he fires five shots in succession, what is the probability that he will hit the target?
Which of the following MUST yield an integer when divided by 9?
The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
A number consisting of five digits 5,6,7,8 and 9 each coming once but not necessarily in that order is taken ,and an algorithm specified in the previous question is run on it .How many different end results are possible ?
900 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Two pipes A and B can fill a tank in 15 min and 18 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Two trains, each 100 m long, moving in opposite directions, cross other in 12 sec. If one is moving twice as fast the other, then the speed of the faster train is?
In the figure given below, ABC and CDE are two identical semi-circles of radius 2 units. B and D are the mid points of the arc ABC and CDE respectively. What is the area of the shaded region?
Ayayai electronics is a company manufacturing MP3 players. Ayayai manufactures only two players: iMe and iMine. Either player is assembled using a LCD screen or an OLED screen. Excluding the expensive OLED-iMine model, Ayayai manufactures 21,000 players per month. Every month, Ayayai manufactures 11,000 players with an OLED screen, and 12,000 iMine models. If Ayayai manufactures 8000 LCD iMe models monthly, how many players (of all models) does Ayayai manufacture per month?
A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6300?
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 25% profit?
The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is
Taylor is making a bracelet. He Starts with 2 blue knots, 6 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
How much to pay for a pair of jeans of $89 when discounted by 60 percent?
How many litres of pure acid are there in 5 litres of a 30% solution
Certain stocks in January were 20% less than they were in February and 30% greater than they were in March. What was the percentage decrease in the stocks from February to March?
Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
A man can row with a speed of 14 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?
If a certain sample of data has a mean of 27.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is:
A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 3% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected. What is the probability that a smartphone bundle that will be rejected by quality control?
A Barman's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Barman's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Barman's to travel 850 kilometers?
In how many ways can a person post 5 letters in 4 letter boxes ?
The population of a bacteria culture doubles every 5 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
How many six digit phone numbers can you frame using the digits from 0 to 9 if a condition restricts you to start the number with 35 and another condition restricts you from using any digit more than once?
If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 7.
The value of x is to be randomly selected from the integers from 1 to 6, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?
Some students are standing in a circle in which 6th and the 16th student are standing opposite to each other. find how many students were present there.
A trader mixes 25 kg of rice at Rs. 30 per kg with 25 kg of rice of other variety at Rs. 40 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
The ratio of present ages of Nisha and Shilpa is 7 : 8 respectively. Four years hence this ratio becomes 9 : 10 respectively. What is Nisha’s present age in years?
The speed of a car is 90 km in the first hour and 40 km in the second hour. What is the average speed of the car?
Grandmother's Punch hangover cure is a mix of two ingredients: a herbal extraction that contains 20% alcohol and apricot cider that contains 5% alcohol. If a 750-milliliter Grandmother's Punch bottle has 87 milliliters of alcohol, how much apricot cider does it contains?
A cake is cut into 16 pieces.Whats amount of cake must be eaten to make cake cut into half.
what is the compound interest on rs:60,000 for 4 months at the rate of 5% per annum
In how many different number of ways 6 men and 3 women can sit on a shopa which can accommodate persons?
On a scale of a map 0.6 cm represents 6.6km. If the distance between two points on the map is 80.5 cm , what is the the actual distance between these points?
Shyam purchased a cow for Rs 20000 and 2 goats for 10000. He sold the cow at a loss of 5% and goats at a profit of 15%. Overall he make a.?
An article is bought for Rs.500 and sold for Rs.700, find the gain percent?
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
y=248-398x Which of the following values of x gives the greatest value of y in the equation above?
17. 2 x 40 =?
7 noun, 5 verbs and 2 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
a, and b are positive integers less than or equal to 9 and b is twice the a. If a and b are assembled into the four-digit number abab, which of the following must be a factor of abab?
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Barbara has 8 shirts and 8 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 8 miles per day and it will take them two days, how many miles long is the route down the mountain?
If x:y=9:4 then (7x-3y) : (7x+3y)=?
The sum of three numbers is 294. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
A sporting goods store sold 60 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $204, what is the fewest number of $4 Frisbees that could have been sold?
There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly then what is the probability that neither blue nor green?
For an upcoming charity event, a male vocalist has agreed to sing 7 out of 9 “old songs” and 5 out of 8 “new songs.” How many ways can the singer make his selection?
In a 1100 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Workers at a campaign office have 2000 fliers to send out. If they send out 1/4 of them in the morning and 1/5 of the remaining ones out during the afternoon, how many are left for the next day?
A present value of a machine is $40000. Its value depletiation rate is 5% per annum then find the machine value after 2 years?

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