Register

Recent questions tagged geometry

0 votes
0 answers
121
CAT 2003 | Question: 2-76
The length of the circumference of a circle equals the perimeter of a triangle of equal sides, and also the perimeter of a square. The areas covered by the circle, triangle, and square are $c, t,$ and $s,$ respectively. Then, $s > t > c$ $c > t > s$ $c > s > t$ $s > c > t$
The length of the circumference of a circle equals the perimeter of a triangle of equal sides, and also the perimeter of a square. The areas covered by the circle, triang...
0 votes
0 answers
122
CAT 2003 | Question: 2-71
Let $\text{ABCDEF}$ be a regular hexagon. What is the ratio of the area of the triangle $\text{ACE}$ to that of the hexagon $\text{ABCDEF}?$ $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{5}{6}$
Let $\text{ABCDEF}$ be a regular hexagon. What is the ratio of the area of the triangle $\text{ACE}$ to that of the hexagon $\text{ABCDEF}?$$\frac{1}{3}$$\frac{1}{2}$$\fr...
0 votes
0 answers
134
CAT 2001 | Question: 41
A rectangular pool $20$ metres wide and $60$ metres long is surrounded by a walkway of uniform width. If the total area of the walkway is $516$ square metres, how wide, in metres, is the walkway? $43$ m $4.3$ m $3$ m $3.5$ m
A rectangular pool $20$ metres wide and $60$ metres long is surrounded by a walkway of uniform width. If the total area of the walkway is $516$ square metres, how wide, i...
1 votes
1 answer
135
CAT 2001 | Question: 40
Based on the figure below, what is the value of $x,$ if $y = 10?$ $0$ $11$ $12$ None of these
Based on the figure below, what is the value of $x,$ if $y = 10?$$0$$11$$12$None of these
0 votes
0 answers
137
CAT 2001 | Question: 29
Euclid has a triangle in mind, Its longest side has length $20$ and another of its sides has length $10.$ Its area is $80.$ What is the exact length of its third side? $\sqrt{260}$ $\sqrt{250}$ $\sqrt{240}$ $\sqrt{270}$
Euclid has a triangle in mind, Its longest side has length $20$ and another of its sides has length $10.$ Its area is $80.$ What is the exact length of its third side?$\s...
1 votes
1 answer
138
CAT 2001 | Question: 23
Two sides of a plot measure $32$ metres and $24$ metres and the angle between them is a perfect right angle. The other two sides measure $25$ metres each and the other three are not right angles. What is the area of the plot? $768$ $534$ $696.5$ $684$
Two sides of a plot measure $32$ metres and $24$ metres and the angle between them is a perfect right angle. The other two sides measure $25$ metres each and the other th...
0 votes
0 answers
139
CAT 2001 | Question: 8
In the above diagram, $\text{ABCD}$ is a rectangle with $\text{AE = EF = FB}.$ What is the ratio of the area of the triangle $\text{CEF}$ and that of the rectangle? $\frac{1}{6}$ $\frac{1}{8}$ $\frac{1}{9}$ None of these
In the above diagram, $\text{ABCD}$ is a rectangle with $\text{AE = EF = FB}.$ What is the ratio of the area of the triangle $\text{CEF}$ and that of the rectangle?$\frac...
2 votes
1 answer
141
CAT 2001 | Question: 2
A square, whose side is $2$ metres, has its corners cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in metres is $\frac{\sqrt{2}}{\sqrt{2}+1}$ $\frac{2}{\sqrt{2}+1}$ $\frac{2}{\sqrt{2} - 1}$ $\frac{\sqrt{2}}{\sqrt{2}-1}$
A square, whose side is $2$ metres, has its corners cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in metres is$\fra...
0 votes
0 answers
144
CAT 2000 | Question: 102
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}.$ Then $\measuredangle \text{DAE}$ is approximately $15^{\circ}$ $20^{\circ}$ $30^{\circ}$ $25^{\circ}$
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}.$ Then $\measuredangle \text{DAE}$ is approximately$15^{\circ}$ $20^{\circ}$$30^{\circ}$$25^{\circ}$
0 votes
0 answers
145
CAT 2000 | Question: 101
If $a, b, c$ are the sides of a triangle, and $a^2 + b^2 + c^2 = bc + ca + ab$, then the triangle is equilateral isosceles right angled obtuse angled
If $a, b, c$ are the sides of a triangle, and $a^2 + b^2 + c^2 = bc + ca + ab$, then the triangle isequilateral isoscelesright angled obtuse angled
0 votes
0 answers
149
CAT 2002 | Question: 81
The area of the triangle with the vertices $(a,a), (a+1, a)$ and $(a, a+2)$ is $a^3$ $1$ $0$ None of these
The area of the triangle with the vertices $(a,a), (a+1, a)$ and $(a, a+2)$ is$a^3$$1$$0$None of these
0 votes
0 answers
150
CAT 2002 | Question: 74
There is a common chord of $2$ circles with radius $15$ and $20.$ The distance between the two centres is $25.$ The length of the chord is $48$ $24$ $36$ $28$
There is a common chord of $2$ circles with radius $15$ and $20.$ The distance between the two centres is $25.$ The length of the chord is$48$$24$$36$$28$
0 votes
0 answers
151
CAT 2002 | Question: 71
In the figure given below, find the distance $\text{PQ}.$ $7$ m $4.5$ m $10.5$ m $6$ m
In the figure given below, find the distance $\text{PQ}.$ $7$ m$4.5$ m$10.5$ m$6$ m
0 votes
1 answer
154
CAT 2002 | Question: 58
In the following figure, the area of the isosceles right triangle $\text{ABE}$ is $7$ sq.cm. If $\text{EC = 3BE},$ then the area of rectangle $\text{ABCD}$ id (insq.cm.) $64$ $82$ $26$ $56$
In the following figure, the area of the isosceles right triangle $\text{ABE}$ is $7$ sq.cm. If $\text{EC = 3BE},$ then the area of rectangle $\text{ABCD}$ id (insq.cm.)$...
0 votes
0 answers
158
CAT 2003 | Question: 1-137
In the diagram given below, $\measuredangle \text{ABD} = \measuredangle \text{CDB} = \measuredangle \text{PQD} = 90^{\circ}$. If $\text{AB : CD} = 3:1,$ the ratio of $\text{CD : PQ}$ is $1:0.69$ $1:0.75$ $1:0.72$ None of these
In the diagram given below, $\measuredangle \text{ABD} = \measuredangle \text{CDB} = \measuredangle \text{PQD} = 90^{\circ}$. If $\text{AB : CD} = 3:1,$ the ratio of $\t...
Page: