GRE Exam Numerical Ability Probability

A family keeps a bowl that contains ping-pong balls labeled with chores: tidy the hallway, wash dishes, mop kitchen floor, clean upstairs bathroom, vacuum living room, fold laundry, clean downstairs bathroom, and make the beds. One child particularly hates to use the vacuum cleaner. At chore time, she draws out two balls and must complete the chores written on them. What is the chance that she will avoid having to vacuum? A) 49/64 B) 1/4 C) 3/4 D) 7/4 E) 97/56

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GRE Other Question

Between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first declined by 20 percent and then increased by 50 percent. During this same period, the price per liter of Blue, a spring water,first increased by 20 percent and then declined by 50 percent. If at the end of June, the prices were the same, then, at the beginning of May, the price per kilogram for Blue was what percent of the price per liter of Melange? An investor divides $12,000 into two investments, one paying 7% and one 8% annually. At the end of the year she has made $870. How much did she invest at 8%?