CAT 2003 | Question: 2-71

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CAT 2003 | Question: 2-97
Let $S_1$ be a square of side a. Another square $S_2$ is formed by joining the mid-points of the sides of $S_1$. The same process is applied to $S_2$ to form yet another square $S_3$, and so on. If $A_1, A_2, A_3, \dots$ be the areas and $P_1, P_2, P_3, \dots.$ be the perimeters of ... $\frac{2(2-\sqrt{2})}{a}$ $\frac{2(2+\sqrt{2})}{a}$ $\frac{2(1+2\sqrt{2})}{a}$

Let $S_1$ be a square of side a. Another square $S_2$ is formed by joining the mid-points of the sides of $S_1$. The same process is applied to $S_2$ to form yet another ...

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CAT 2003 | Question: 2-95
In the figure given below (not drawn to scale), $\text{A, B}$ and $\text{C}$ are three points on a circle with centre $\text{O}.$ The chord $\text{BA}$ is extended to a point $\text{T}$ such that $\text{CT}$ becomes a tangent to the circle at point ... $\measuredangle \text{BOA}$ is $100^{\circ}$ $150^{\circ}$ $80^{\circ}$ Cannot be determined

In the figure given below (not drawn to scale), $\text{A, B}$ and $\text{C}$ are three points on a circle with centre $\text{O}.$ The chord $\text{BA}$ is extended to a p...

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CAT 2003 | Question: 2-92
In the figure below (not drawn to scale), rectangle $\text{ABCD}$ is inscribed in the circle with centre at $\text{O}.$ The length of side $\text{AB}$ is greater than that of side $\text{BC}.$ The ratio of the area of the circle to the area of the rectangle $\text{ABCD}$ ... $\text{AE : AD}?$ $1:\sqrt{3}$ $1:\sqrt{2}$ $1:2\sqrt{3}$ $1:2$

In the figure below (not drawn to scale), rectangle $\text{ABCD}$ is inscribed in the circle with centre at $\text{O}.$ The length of side $\text{AB}$ is greater than tha...

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CAT 2003 | Question: 2-91
Consider two different cloth-cutting processes. In the first one, $n$ circular cloth pieces are cut from a square cloth piece of side $a$ in the following steps: the original square of side $a$ is divided into $n$ smaller squares, not necessarily of the same size; then a circle of maximum ... $1:1$ $\sqrt{2} : 1$ $\frac{n(4-\pi)}{4n-\pi}$ $\frac{4n-\pi}{n(4-\pi)}$

Consider two different cloth-cutting processes. In the first one, $n$ circular cloth pieces are cut from a square cloth piece of side $a$ in the following steps: the orig...

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CAT 2003 | Question: 2-87
In the figure (not drawn to scale) given below, if $\text{AD = CD = BC},$ and $\measuredangle \text{BCE} = 96^{\circ}$, how much is $\measuredangle \text{DBC}?$ $32^{\circ}$ $84^{\circ}$ $64^{\circ}$ Cannot be determined

In the figure (not drawn to scale) given below, if $\text{AD = CD = BC},$ and $\measuredangle \text{BCE} = 96^{\circ}$, how much is $\measuredangle \text{DBC}?$$32^{\cir...

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answers	answers:2
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CAT 2003 | Question: 2-71

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