GRE Quantitative Reasoning Questions

Algebra Topics (Set of numeric entry: 6)

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Directions: Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes — one for the numerator and one for the denominator.

 Answer Sheet of Set 6 (numeric entry)
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3. Find the value of (3/y-1/x) if 3(2x+y)=7xy and 3(x+3y)=11xy.

4. The simple interest on a sum of money is 1/6 of the principal. The number of months is equal to twice the rate percent. Find the time in months of the investment.

5. The product of the positive numbers is 300 and the sum of their squares is 25 more than two times their product. Find the sum of the two numbers.

8. The average age of the 5 members of a family is 25 years. The age of the youngest member is 5 years. What was the average age of the members of the family just before the youngest member was born?

years
10. If two pipes work simultaneously, the reservoir fills in 12 hours. One pipe fills the reservoir 10 hours faster than the other does. How many hours does the faster pipe take to fill the reserviour alone?