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7 x + y = 19 , and x + 3 y = 1 . find the value of 2 x + y
0general
what is the sum of the greatest common factor and the lowest common multiple of 12 and 16 ?
0general
the least number which must be subtracted from 909 to make it exactly divisible by 9 is :
0general
a person want to give his money of $ 3600 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ?
5other
each week , harry is paid x dollars per hour for the first 24 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ?
0general
rs . 1600 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 85 . how much was lent at 5.00001 % ?
2gain
a box contains 10 tablets of medicine a and 16 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted .
0general
for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 171 ?
0general
a train 3000 m long can cross an electric pole in 120 sec and then find the speed of the train ?
1physics
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 500 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ?
0general
a can give b 60 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ?
1physics
you have 59 cubic blocks . what is the minimum number that needs to be taken away in order to construct a solid cube with none left over ?
3geometry
from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 8 kilometers per hour , while ferry q takes a route that is three times longer . if ferry p is slower than ferry q by 1 kilometer per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?
1physics
n a certain flower shop , which stocks 4 types of flowers , there are 1 / 3 as many violets as carnations , and 1 / 4 as many tulips as violets . if there are equal numbers of roses and tulips , what percent of the flowers in the shop are carnations ?
0general
at a contest with 500 participants , 1 / 2 of the people are aged 28 to 32 . next year , the number of people aged 28 to 32 will increase by 1 / 8 . after this change , what percentage of the total 500 people will the 28 - to 32 - year - olds represent ?
0general
on a purchase of $ 130 , a store offered a payment plan consisting of a $ 30 down payment and 12 monthly payments of $ 10 each . what percent of the purchase price , to the nearest tenth of a percent , did the customer pay in interest by using this plan ?
2gain
the largest 4 digit number exactly divisible by 66 is ?
0general
ashok secured average of 77 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ?
0general
roses can be purchased individually for $ 7.30 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ?
0general
what is the equation of a circle of radius 5 units centered at ( 3 , 2 ) ?
3geometry
if the diameter of circle r is 20 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?
3geometry
walking with 4 / 5 of my usual speed , i arrive at the bus stop 9 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ?
1physics
what will be the length of the mini - train , if it crosses a pole in 3 sec while travelling at a speed of 75 kmph ?
1physics
if 4 x = 8 y = 12 z , then what is a possible sum of positive integers x , y , and z ?
0general
find a two digit number , given that the sum of the digits is 12 and the difference of the digits is 6 . ?
0general
it takes joey the postman 1 hours to run a 3 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 6 mile / hour , what is the speed with which joey returns ?
1physics
2056 x 987 = ?
0general
a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ?
3geometry
a train is moving at 6 / 7 of its usual speed . the train is 30 minutes too late . what is the usual time for the train to complete the journey ?
1physics
we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 530 . how many green hats did we buy ?
0general
a volunteer organization is recruiting new members . in the fall they manage to increase their number by 5 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ?
0general
two cars are driving toward each other . the first car is traveling at a speed of 90 km / h , which is 50 % faster than the second car ' s speed . if the distance between the cars is 975 km , how many hours will it take until the two cars meet ?
1physics
find the annual income derived by investing $ 6800 in 40 % stock at 136 .
2gain
in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 14.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?
0general
what is the difference between local value & face value of 7 in the numeral 65793 ?
0general
mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 14 miles , how many miles was mike ' s ride ?
0general
at 1 : 00 pm , a truck left city p and headed toward city q at a constant speed of 35 km / h . one hour later , a car left city q and headed toward city p along the same road at a constant speed of 40 km / h . if the distance between city p and city q is 335 km , at what time will the truck and the car meet each other ?
1physics
a license plate in the country kerrania consists of 4 digits followed by two letters . the letters a , b , and c are used only by government vehicles while the letters d through z are used by non - government vehicles . kerrania ' s intelligence agency has recently captured a message from the country gonzalia indicating that an electronic transmitter has been installed in a kerrania government vehicle with a license plate starting with 79 . if it takes the police 10 minutes to inspect each vehicle , what is the probability that the police will find the transmitter within 3 hours ?
1physics
a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 61 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
2gain
one - sixth of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ?
0general
a man buys a cycle for rs . 1600 and sells it at a loss of 12 % . what is the selling price of the cycle ?
2gain
at milk factory , each employee working the second shift produced 2 / 3 as many widgets as each employee working the first shift . if the first shift has 3 / 4 as many employees , what fraction of the total widgets did the second shift produce ?
1physics
the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if steve and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?
2gain
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 500 more than d , what is a ' s share ?
0general
when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 7 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ?
0general
a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?
0general
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 18 seconds . find the length of the faster train ?
1physics
matt gets a $ 1,000 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 550 , how many sales has matt made ?
0general
a man invested rs . 14400 in rs . 100 shares of a company at 20 % premium . if his company declares 5 % dividend at the end of the year , then how much does he get ?
2gain
the distance between two cities a and b is 1140 km . a train starts from a at 8 a . m . and travel towards b at 60 km / hr . another train starts from b at 9 a . m and travels towards a at 75 km / hr . at what time do they meet ?
1physics
the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 15 % , then the cost price of the article is :
2gain
pipe a fills a swimming pool in 4 hours . pipe b empties the pool in 6 hours . if pipe a was opened at 7 : 00 am and pipe b at 8 : 00 am , at what time will the pool be full ?
1physics
selling an kite for rs . 30 , a shop keeper gains 35 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
2gain
if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 58 , what is the compound interest on the same sum at the rate and for the same time ?
2gain
if a = 105 and a ^ 3 = 21 Γ— 25 Γ— 45 Γ— d , what is the value of d ?
0general
a present value of a machine is $ 40000 . its value depletiation rate is 5 % per annum then find the machine value after 2 years ?
2gain
find the compound ratio of ( 3 : 4 ) , ( 4 : 5 ) and ( 1 : 2 ) is
5other
at veridux corporation , there are 218 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ?
0general
find a sum for 1 st 9 prime number ' s ?
0general
if d = 1 / ( 2 ^ 3 * 5 ^ 11 ) is expressed as a terminating decimal , how many nonzero digits will d have ?
0general
a man is 25 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ?
0general
calculate the sum of first 89 natural numbers .
0general
a jogger running at 10 km / hr along side a railway track is 340 m ahead of the engine of a 120 m long train running at 46 km / hr in the same direction . in how much time will the train pass the jogger ?
0general
an amount of rs . 10000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 3 / 4 % , then the amount invested at 11 % was ?
2gain
the present population of a town is 300 . population increase rate is 10 % p . a . find the population of town after 1 years ?
2gain
in a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 600 m ?
1physics
a powder tin has a square base with side 8 cm and height 14 cm . another tin has a circular base with diameter 8 cm and height 14 cm . the difference in their capacities is :
3geometry
today david , who is 40 years old , and his daughter , who is 12 years old , celebrate their birthdays . how many years will pass before david ’ s age is twice his daughter ’ s age ?
0general
( 17 ) 3.5 x ( 17 ) ? = 178
0general
earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 120 envelopes
1physics
if ( 400 ) ( 7000 ) = ( 28000 ) ( 100 ^ x ) , what is the value of x ?
0general
having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.64 at the candy store . what is john ’ s weekly allowance ?
0general
a number of 41 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ?
0general
the sum of the present age of henry and jill is 41 . what is their present ages if 7 years ago henry was twice the age of jill ?
0general
set x consists of the integers from 0 to 12 , inclusive , while set y consists of the integers from 6 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ?
5other
a watch was sold at a loss of 10 % . if it was sold for rs . 500 more , there would have been a gain of 10 % . what is the cost price ?
2gain
what is the area of a square field whose diagonal of length 26 m ?
3geometry
a book is bought for $ 600 and sold for $ 624 . what is the profit in percentage ?
2gain
a store owner estimates that the average price of type a products will increase by 35 % next year and that the price of type b products will increase by 20 % next year . this year , the total amount aid for type a products was $ 3500 and the total price paid for type b products was $ 6300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ?
0general
a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by a are ?
0general
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 10 seconds . find the length of the faster train ?
1physics
a trader sells 78 meters of cloth for rs . 6788 at the profit of rs . 29 per metre of cloth . what is the cost price of one metre of cloth ?
1physics
by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 50 % ?
2gain
a ( 8 , w ^ 2 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 17 . what is the value of w ?
0general
on a certain transatlantic crossing , 40 percent of a ship ’ s passengers held round - trip tickets and also took their cars abroad the ship . if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ’ s passengers held round - trip tickets ?
2gain
if log 2 = 0.30103 , the number of digits in 2128 is .
5other
bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 40 white marbles . how many red marbles could be in bag a ?
5other
if a person walks at 5 km / hr instead of 4 km / hr , he would have walked 6 km more . the actual distance traveled by him is ?
0general
if tim had lunch at $ 60.80 and he gave 20 % tip , how much did he spend ?
2gain
when asked what the time is , a person answered that the amount of time left is 1 / 3 of the time already completed . what is the time .
0general
a ladder 18 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 6 feet from the base of the wall . if the top of the ladder slips down 4 feet , how many feet will the bottom of the ladder slip ?
2gain
if x is to be chosen at random from the set { 1 , 2 , 3 , 4 } and y is to be chosen at random from the set { 5 , 6 , 7 } , what is the probability that xy will be even ?
4probability
johnny makes $ 3.25 per hour at his work . if he works 8 hours , how much money will he earn ?
1physics
an article is bought for rs . 1280 and sold for rs . 900 , find the loss percent ?
2gain
what is the rate percent when the simple interest on rs . 800 amount to rs . 160 in 3 years ?
2gain
solve below question 2 x + 1 = - 17
0general
what is the difference between the largest number and the least number written with the digits 9 , 3 , 1 , 2 ?
0general
if m and n are positive integer , and 1800 m = n ^ 3 , what is the least possible value of m ?
0general
the moon revolves around the earth at a speed of approximately 1.04 kilometers per second . this approximate speed is how many kilometers per hour ?
1physics
rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 3 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?
0general