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Mathematics Preparing for Higher Math explained

R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 5, 17, and 22, respectively. What is the length of line segment RU?

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Mathematics Preparing for Higher Math explained

Christopher and Jonathan were having bets. They decide that a coin will be flipped twenty times and each time it turns heads, Christopher will give $2 to Jonathan and each time it turns out to be Tails, Jonathan will give 3$ to Christopher. After flipping for twenty times none of the both won or lost any amount.

How many times did the coin landed on Heads ?

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Mathematics Preparing for Higher Math explained

If a man reduces the selling price of a fan from Rs.400 to Rs.380, his loss increases by 2%. The cost price of the fan is

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Mathematics Preparing for Higher Math explained

A certain state imposes a 4% tax on the nightly rates of hotel room. A certain hotel in this state also charges a $2.00 nightly fee per room, which is not subject to tax. If the total charge for a room for one night was $72.72 , what was the nightly rate of the room?

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Mathematics Preparing for Higher Math explained

Kevin drove from A to B at a constant speed of 70 mph. Once he reached B, he turned right around with pause, and returned to A at a constant speed of 90 mph. Exactly 3 hours before the end of his trip, he was still approaching B, only 70 miles away from it. What is the distance between A and B?

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Mathematics Preparing for Higher Math explained

A password needs to contain 2 letters and 3 numbers. How many different passwords are possible if repetition of letters and numbers is allowed?

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Mathematics Preparing for Higher Math explained

At my favorite fruit stand, an orange costs 18 dollars, a pineapple costs 27 dollars, and a grape costs 15 dollars. Using the same logic, can you tell how much a mango costs?

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Mathematics Preparing for Higher Math explained

In the xy-coordinate plane, which of the following points must lie on the line kx + 2y = 6 for every possible value of k?

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Mathematics Preparing for Higher Math explained

Suppose you can travel from a place M to a place N by 3 buses, from place N to place O by 4 buses, from place O to place P by 1 buses and from place P to place Q by 3 buses. In how many ways can you travel from M to Q ?

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Mathematics Preparing for Higher Math explained

An investor purchased shares of stock at a certain price. If the stock increased in price Rs 0.25 per share and the total increase for the x shares was Rs 12.50, how many shares of stock had been purchased?

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Mathematics Preparing for Higher Math explained

Country Club has an indoor swimming club. Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?

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Mathematics Preparing for Higher Math explained

In how many ways can a teacher in a kindergarten school arrange a group of 3 children (Susan, Tim and Zen) on 3 identical chairs in a straight line so that Susan is on the left of Tim?

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Mathematics Preparing for Higher Math explained

In recent Malta elections, in a particular constituency, 100,000 votes were cast and each vote was cast for

either Candidate A or Candidate B. If candidate A has won by 500 votes, what percent of the 100,000 votes

were cast for Candidate A?

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Mathematics Preparing for Higher Math explained

If a jewelry store wants to sell a necklace for $179.95 next week at a 50% off sale, how much is the price of the necklace this week?

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Mathematics Preparing for Higher Math explained

There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 5 each?

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Mathematics Preparing for Higher Math explained

A man divides Rs 8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five as much as each nephew. How much does each daughter receive ?

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Mathematics Preparing for Higher Math explained

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

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Mathematics Preparing for Higher Math explained

An express electric train takes exact three seconds to enter tunnel which is 1 mile long.

If train is traveling at 120 mile an hour, how long will it take to pass completely through the tunnel ?

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Mathematics Preparing for Higher Math explained

there are more than 501 students in a school such that 20% of them exactly took physics and 28% of them exactly took math. What could be the least possible no of students in the school?

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Mathematics Preparing for Higher Math explained

Akhil has twice as much money as Sohan and Sohan has 50% more money than what Pankaj has. If the average money with them is Rs 110, then Akhil has

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Mathematics Preparing for Higher Math explained

A shopkeeper in order to promote his new shop put a discount of 20% on all the items for one day. Now he must sell the items at original price the other day. By what percentage must he increase the price to original?

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Mathematics Preparing for Higher Math explained

There are 10 oranges in a basket. Find the no. of ways in which 2 oranges are chosen from the basket?

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Mathematics Preparing for Higher Math explained

My wall contains 8 red colour ties, 13 violet colour ties,10 blue colour ties, 5 pink colour ties, 4 green colour ties. If electricity is gone and I want at least two ties of same colour then how many ties I should take out from my rack?

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Mathematics Preparing for Higher Math explained

If the probability that Stock A will increase in value during the next month is 0.56, and the probability that Stock B will increase in value during the next month is 0.74. What is the greatest value for the probability that neither of these two events will occur?

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Mathematics Preparing for Higher Math explained

The binary representation of 0.6875 is ?

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