centerpiece stringclasses 4 values | options sequence | correct_options sequence | correct_options_idx sequence | correct_options_literal sequence |
|---|---|---|---|---|
Five thousand dollars compounded annually at an $x\%$ interest rate takes six years to double. At the same interest rate, how many years will it take $\$300$ to grow to $\$9600$? | [
"12",
"1",
"30",
"5"
] | [
"C"
] | [
2
] | [
"30"
] |
The variable $x$ varies directly as the square of $y$, and $y$ varies directly as the cube of $z$. If $x$ equals $-16$ when $z$ equals 2, what is the value of $x$ when $z$ equals $\frac{1}{2}$? | [
"-1",
"16",
"-\\frac{1}{256}",
"\\frac{1}{16}"
] | [
"C"
] | [
2
] | [
"-\\frac{1}{256}"
] |
Simplify and write the result with a rational denominator: $$\sqrt{\sqrt[3]{\sqrt{\frac{1}{729}}}}$$ | [
"\\frac{3\\sqrt{3}}{3}",
"\\frac{1}{3}",
"\\sqrt{3}",
"\\frac{\\sqrt{3}}{3}"
] | [
"D"
] | [
3
] | [
"\\frac{\\sqrt{3}}{3}"
] |
Ten students take a biology test and receive the following scores: 45, 55, 50, 70, 65, 80, 40, 90, 70, 85. What is the mean of the students’ test scores? | [
"55",
"60",
"62",
"65"
] | [
"D"
] | [
3
] | [
"65"
] |
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