Test: Fractions/Ratios/Decimals - GMAT MCQ

A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

Upon winning the lottery, John spent 1/3 of his winnings on a home and 1/4 of the remaining amount on a car. After these purchases, he had $200,000 left. How much money did John win in the lottery?

At a private school, the student to teacher ratio is 6 to 1. If the number of teachers were to increase by 50%, while the number of students remains the same, what would be the new student to teacher ratio?

Which of the following fractions can be written as the difference of reciprocals of two consecutive integers?

In class A, the ratio of boys to girls is 2 : 3. In class B the ratio of boys to girls is 4 : 5. If the ratio of boys to girls in both classes put together is 3 : 4, what is the ratio of number of girls in class A to number of girls in class B?

In what ratio should a mixture of milk and water in the ratio of 3:4 be mixed with another mixture of milk and water in the ratio 5:2 so that the resultant mixture contains equal quantities of milk and water?

An investment manager is considering 3 stocks, P, Q, and R for her portfolio. For the cost of 1 share of P, she could buy 3 shares of Q or 5 shares of R. If she invested an amount equal to the cost of 4500 shares of Q but purchased equal numbers of shares of P and R and no shares of Q, how many shares of R did she buy?