A certain prosthodontist specializes in implanting gold and silver teeth in his patients’ mouths. He charges $650 for a gold tooth and $325 for a silver tooth. If his total fees for implanting gold and silver teeth last week were $15,925 in total, and he implanted five more gold teeth than silver teeth, how many teeth in total did he implant over the week?
566 questions match · Mathematics · Preparing for Higher Math
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Three friends Alan, Roger and Peter attempt to answer a question on an exam. Alan randomly guesses the answer, giving him a 1/5 probability of guessing correctly. Roger cheats by looking at the paper of the student in front of him, giving him a 2/3 probability of answering correctly. And Peter dutifully performs the calculations, then marks the answer, giving him a 5/6 probability of a correct answer. What is the probability that the question is answered correctly, but not via cheating?
What should come in place of the question mark(?) in each of the following questions ?
a2 - b2/(a + b)2 (?)=(a - b)2
A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain?
A group of 5 friends were to contribute equally to purchase items from a store. If store offered them a promotional discount of 15%, how much did each friend pay, given a total bill of $1200?
Consider a courier company A which can deliver 100 parcels in 5 days with 5 men working for 8 hours a day. Consider another courier company B where every employee is equally efficient as that of company B. Company B is short of one man when compared to A and has a policy of asking its workers to work only for 6 hours a day. How long (in days) company B will take to deliver 100 parcels.
A computer routine was developed to generate two numbers (x,y) the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pair satisfies the routine except
If a cellphone is purchased for Rs.490 and sold for Rs.465.50 find the loss percentage?
A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. He divides the amount in such a way that if their shares are invested at compound interest at 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohan's share.
The bus fare for two persons for travelling between Agra and Aligarh id four-thirds the train fare between the same places for one person. The total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is Rs.1512. Find the train fare between the two places for one person?
8 man work for 6 days to complete a work. How many men are required to complete same work in 1/2 day.
A bookshelf contains 45 books, 30 of which are hardcover and 20 of which are fiction. What is the maximum number of books that are both hardcover and fiction?
A circular gear with a diameter of 25 cm is mounted directly over another circular gear with a diameter of 100 cm. Both gears run on the same axle at their exact centers and each gear has a single notch at the 12 o'clock position. At the same moment, the gears start to rotate at the same rate in cm/s, with the larger gear moving clockwise and the smaller gear moving anticlockwise.
How far in centimeters will the notch on the larger gear have moved the second time the notches pass each other?
Last year Joe grew 2 inch and Sally grew 200 percent more than Joe grew. How many inches did Sally grow last year?
The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 1/2 cm and 2 cm respectively. The diameter of third ball is?
Money is paid into an account in portions of $500 and paid out in portions of $300. If after a month the account grew by $1,200, what is the least possible number of transactions that could have been made?
Bert and Ernie are among 12 tenants on Sesame Street, from which 9 tenants are to be selected for the neighborhood watch. Of the different possible selections, how many contain neither Bert nor Ernie?
A car traveled 40 mph from Belnap to Lincoln and 50 mph from Lincoln to Belnap. If the whole trip was 660 miles, how long did the round trip take?
Gina and Tina's average grade is 23 points higher than Tina's grade. What is the difference between their grades?
Shweta rides at the rate of 10 km per hour but stops for 10 minutes to take rest at the end of every 15 km. How many hours will she take to cover 100 km
A shop gives 10% discount on the purchase of an item. If paid for in cash immediately, a further discount of 12% is given. If the original price of the item is Rs. 250, what is the price of the article if a cash purchase is made?
Q is 30% of N. N is 170% of Y. What percentage of Y is Q?
Three birds are flying at a fast rate of 900 kilometers per hour. What is their speed in miles per minute? [1km = 0.6 miles]
A shop is offering discounts on shirts costing $20 each. If someone buys 2 shirts, he will be offered a discount of 15% on the first shirt and another 10% discount on the reduced price for the second shirt. How much would one pay for two shirts at this shop?
The events A and B are independent. The probability that event A occurs is 0.6, and the probability that at least one of the events A or B occurs is 0.96. What is the probability that event B occurs?