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Mathematics Preparing for Higher Math explained

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.

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

8 man work for 6 days to complete a work. How many men are required to complete same work in 1/2 day.

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

Last year Joe grew 2 inch and Sally grew 200 percent more than Joe grew. How many inches did Sally grow last year?

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

Gina and Tina's average grade is 23 points higher than Tina's grade. What is the difference between their grades?

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Mathematics Preparing for Higher Math explained

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

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

Q is 30% of N. N is 170% of Y. What percentage of Y is Q?

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Mathematics Preparing for Higher Math explained

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]

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

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?

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Mathematics Preparing for Higher Math explained

A point on the edge of a fan blade that is rotating in a plane 10 centimeters from the center of the fan. What is the distance traveled, in centimeters, by this point after 30 seconds when the fan runs at the rate of 300 revolutions per minutes?

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Mathematics Preparing for Higher Math explained

Two trains are running with speed 30 km/hr. and 58km/hr. in the same direction. A man in the slower train passes the faster train in 18 seconds. The length (in metres) of the faster trains is:

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Mathematics Preparing for Higher Math explained

The average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew, who weighs 53 kg is replaced by a new man. Find the weight of the new man.

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Mathematics Preparing for Higher Math explained

A bag of cat food weighs 7 pounds and 4 ounces. How much does the bag weigh in ounces?

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Mathematics Preparing for Higher Math explained

A single refined oil can contains 20% impurities. After double–refining, it contains 4% impurities. How much of double-refined oil can be obtained from 30 litres of single refined oil?

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Mathematics Preparing for Higher Math explained

A scooter and a television cost ratio is 8:7. If cost of scooter is 4000 rs. more than television. Then, calculate the cost of television?

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Mathematics Preparing for Higher Math explained

There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election?

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Mathematics Preparing for Higher Math explained

[(272 - 32) (124 + 176)] / (17 x 15 - 15) = ?

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