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Recent questions tagged cat2014

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CAT 2014 | Question: 27
The line $\text{AB}$ is $6$ metres in length and is tangent to the inner one of the two concentric circles at point $\text{C}.$ It is known that the radii of the two circles are integers. The radius of the outer circle is $5$ metres $4$ metres $6$ metres $3$ metres
The line $\text{AB}$ is $6$ metres in length and is tangent to the inner one of the two concentric circles at point $\text{C}.$ It is known that the radii of the two circ...
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83
CAT 2014 | Question: 26
Three identical cones with base radius $r$ are placed on their bases so that each is touching the other two. The radius of the circle drawn through their vertices is smaller than $r$. equal to $r$. larger than $r$. depends on the height of the cones.
Three identical cones with base radius $r$ are placed on their bases so that each is touching the other two. The radius of the circle drawn through their vertices is smal...
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84
CAT 2014 | Question: 25
From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers? $2 : 1$ $3 : 1$ $3 : 2$ None
From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the rat...
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CAT 2014 | Question: 11
If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
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CAT 2014 | Question: 10
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circumscribed circle? $2 : 3$ $3 : 4$ $1 : 4$ $1 : 2$
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circums...
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CAT 2014 | Question: 3
From a circular sheet of paper with a radius $20$ cm, four circles of radius $5$ cm each are cut out. What is the ratio of the uncut to the cut portion? $1:3$ $4:1$ $3:1$ $4:3$
From a circular sheet of paper with a radius $20$ cm, four circles of radius $5$ cm each are cut out. What is the ratio of the uncut to the cut portion? $1:3$$4:1$$3:1$$4...
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99
CAT 2014 | Question: 2
Instead of a metre scale, a cloth merchant uses a $120$ cm scale while buying, but uses an $80$ cm scale while selling the same cloth. What is his overall profit percentage? $50\%$ $25\%$ $40\%$ $15\%$
Instead of a metre scale, a cloth merchant uses a $120$ cm scale while buying, but uses an $80$ cm scale while selling the same cloth. What is his overall profit percenta...
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100
CAT 2014 | Question: 1
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of angle $\angle \text{DEC}?$ $15^{\circ}$ $30^{\circ}$ $20^{\circ}$ $45^{\circ}$
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of angle $\angle \text{DEC}?$ $15^{\circ}$$30^{\circ}$$20^{\circ}$$45^{\circ...
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