1985 年

Two dice are thrown. The probability of getting at least one "6" is

In the figure, $P$ and $Q$ are the cumulative frequency curves for the heights of two groups of students, each having 100 students. Which of the following must be true?

I. range of $P<$ range of $Q$ II. median of $P<$ median of $Q$ III. the $3^{\text{rd}}$ quartile of $P<$ the $3^{\text{rd}}$ quartile of $Q$

In the figure, the equation of the curve is $y=(x-2)^2-1$. The curve intersects the $x$-axis at $A$ and $B$. $C$ is the vertex of the curve. The area of $\triangle ABC$ is

Which of the following is the solution of $(x-1)(x-3)\le 0$ and $x-2\le 0$?

Which of the following systems of inequalities determine the shaded region in the figure?

If $\dfrac{1}{a}$, $\dfrac{1}{b}$, $\dfrac{1}{c}$ are in geometric progression, then which of the following is true?

Three distinct numbers $x$, $y$ and $z$ are in arithmetic progression. Which of the following is/are also in arithmetic progression?

I. $x+10,\ y+10,\ z+10$ II. $10x,\ 10y,\ 10z$ III. $x^2,\ y^2,\ z^2$

If $\mathrm{f}(2x)=8x^3+4x$, then $\mathrm{f}(3a)=$

A number is first reduced by $p\%$ and then increased by $x\%$. If the number so obtained is the same as the original number then $x=$

The length and width of a cuboid are each increased by $10\%$ and the height remains unchanged. The percentage increase in volume is