Aptitude Overflow
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Blogs
Exams
Dark Mode
Recent questions tagged geometry
0
votes
0
answers
161
CAT 2003 | Question: 1-130
There are two concentric circles such that the area of the outer circle is four times of the area of inner circle. Let A, B and C be the three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is ... $\pi \sqrt{12}$ $\frac{9}{\pi}$ $\frac{9 \sqrt{3} }{\pi}$ $\frac{6 \sqrt{3} }{\pi}$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
176
views
cat2003-1
quantitative-aptitude
geometry
0
votes
0
answers
162
CAT 2003 | Question: 1-127
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is $90^{\circ}$ or concanve if the internal angle is $270^{\circ}$. If the number of convex corners in such a polygon is $25,$ the number of concave corners must be $20$ $0$ $21$ $22$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
254
views
cat2003-1
quantitative-aptitude
geometry
0
votes
1
answer
163
CAT 2014 | Question: 49
Two circles with centres $\text{P}$ and $\text{Q}$ cut each other at two distinct points $\text{A}$ and $\text{B}$. The circles have the same radii and neither $\text{P}$ nor $\text{Q}$ falls within the intersection of the circles. What is the smallest range that ... $\text{AQP}$ in degrees? Between $0$ and $90$ Between $0$ and $30$ Between $0$ and $60$ Between $0$ and $75$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 17, 2016
by
makhdoom ghaya
7.9k
points
203
views
cat2014
quantitative-aptitude
geometry
0
votes
1
answer
164
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
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 16, 2016
by
makhdoom ghaya
7.9k
points
478
views
cat2014
quantitative-aptitude
geometry
0
votes
1
answer
165
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? $2 : 3$ $3 : 4$ $1 : 4$ $1 : 2$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 16, 2016
by
makhdoom ghaya
7.9k
points
212
views
cat2014
quantitative-aptitude
geometry
1
vote
1
answer
166
CAT 2004 | Question: 73
A circle with radius $2$ is placed against a right angle. Another small circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle? $3-2 \sqrt{2}$ $4-2 \sqrt{2}$ $7-4 \sqrt{2}$ $6-4 \sqrt{2}$
go_editor
asked
in
Quantitative Aptitude
Jan 14, 2016
by
go_editor
13.4k
points
2.3k
views
cat2004
quantitative-aptitude
geometry
0
votes
0
answers
167
CAT 2004 | Question: 69
Let $\text{C}$ be a circle with centre $\text{P}_0$ and $\text{AB}$ be a diameter of $\text{C}.$ suppose $\text{P}_1$ is the mid-point of the line segment $\text{P}_0\text{B}, \text{P}_2$ is the mid-point of the line segment $\text{P}_1\text{B}$ and ... the area of the unshaded portion of $\text{C}$ to that of the original circle $\text{C}$ is $8:9$ $9:10$ $10:11$ $11:12$
go_editor
asked
in
Quantitative Aptitude
Jan 14, 2016
by
go_editor
13.4k
points
162
views
cat2004
quantitative-aptitude
geometry
0
votes
0
answers
168
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? $1:3$ $4:1$ $3:1$ $4:3$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 13, 2016
by
makhdoom ghaya
7.9k
points
154
views
cat2014
quantitative-aptitude
geometry
0
votes
0
answers
169
CAT 2014 | Question: 1
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of angle $\angle \text{DEC}?$ $15^{\circ}$ $30^{\circ}$ $20^{\circ}$ $45^{\circ}$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 13, 2016
by
makhdoom ghaya
7.9k
points
189
views
cat2014
quantitative-aptitude
geometry
0
votes
0
answers
170
CAT 2004 | Question: 60
On a semicircle with diameter AD; chord BC is parallel to the diameter. Further, each of the chords AB and CD has length $2,$ while has length $8.$ What is the length of BC? $7.5$ $7$ $7.75$ None of the above
go_editor
asked
in
Quantitative Aptitude
Jan 13, 2016
by
go_editor
13.4k
points
296
views
cat2004
quantitative-aptitude
geometry
0
votes
0
answers
171
CAT 2004 | Question: 59
In the adjoining figure, chord $\text{ED}$ is parallel to the diameter $\text{AC}$ of the circle. If $\angle \text{CBE} = 65^{\circ}$ then what is the value of $\angle \text{DEC}?$ $35^{\circ}$ $55^{\circ}$ $45^{\circ}$ $25^{\circ}$
go_editor
asked
in
Quantitative Aptitude
Jan 13, 2016
by
go_editor
13.4k
points
230
views
cat2004
quantitative-aptitude
geometry
0
votes
0
answers
172
CAT 2004 | Question: 56
Answer the question on the basis of the information given below: In the adjoining figure, I and II are circles with centres P and Q respectively. The two circles touch each other and have a common tangent that touches them at points R and S respectively. This common tangent meets the line ... cm. What is the ration of the length of PQ to that of QO? $1:4$ $1:3$ $3:8$ $3:4$
go_editor
asked
in
Quantitative Aptitude
Jan 13, 2016
by
go_editor
13.4k
points
172
views
cat2004
quantitative-aptitude
geometry
1
vote
1
answer
173
CAT 2004 | Question: 55
A rectangular sheet of paper, when halved by folding it at mid-point of its longer side, results in a rectangle, whose longer and shorter sides are in same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is ... is the area of the smaller rectangle? $4 \sqrt{2}$ $2 \sqrt{2}$ $ \sqrt{2}$ None of the above
go_editor
asked
in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.4k
points
2.6k
views
cat2004
quantitative-aptitude
geometry
0
votes
0
answers
174
CAT 2009 | Question: 19
There are three coplanar parallel lines. If any $p$ points are taken on each of the lines, then find the maximum number of triangles with the vertices of these points. $p^{2}(4p-3)$ $p^{3}(4p-3)$ $p(4p-3)$ $p^{3}$
makhdoom ghaya
asked
in
Quantitative Aptitude
Dec 31, 2015
by
makhdoom ghaya
7.9k
points
284
views
cat2009
quantitative-aptitude
geometry
cartesian-coordinates
0
votes
0
answers
175
CAT 2009 | Question: 18
M is the center of the circle. $l(\text{QS})=10 \sqrt{2},l (\text{PR}) = l(\text{RS})$ and $\text{PR} \| \text{QS}$. Find the area of the shaded region. (use $\pi=3$) $100$ sq. units $114$ sq. units $50$ sq. units $200$ sq. units
makhdoom ghaya
asked
in
Quantitative Aptitude
Dec 31, 2015
by
makhdoom ghaya
7.9k
points
223
views
cat2009
quantitative-aptitude
geometry
0
votes
1
answer
176
CAT 2005 | Question: 30
A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and the tiles in the interior are red. The number of white tiles is the same as the number of red tiles. A possible value of the number of tiles along one edge of the floor is $10$ $12$ $14$ $16$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
401
views
cat2005
quantitative-aptitude
geometry
0
votes
0
answers
177
CAT 2005 | Question: 24
$\text{P, Q, S}$ and $\text{R}$ are points on the circumference of a circle of radius $r,$ such that $\text{PQR}$ is an equilateral triangle and $\text{PS}$ is a diameter of the circle. What is the perimeter of the quadrilateral $\text{PQSR}?$ $2r(1+\sqrt{3})$ $2r(2+\sqrt{3})$ $r(1+\sqrt{5})$ $2r +\sqrt{3}$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
174
views
cat2005
quantitative-aptitude
geometry
0
votes
0
answers
178
CAT 2005 | Question: 23
Consider the triangle $\text{ABC}$ shown in the following figure where $\text{BC = 12 cm, DB =9 cm, CD=6 cm,}$ and $\angle \text{BCD} = \angle \text{BAC}.$ What is the ratio of the perimeter of the triangle $\text{ADC}$ to that of the triangle $\text{BDC}?$ $7/9$ $8/9$ $6/9$ $5/9$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
160
views
cat2005
quantitative-aptitude
geometry
0
votes
0
answers
179
CAT 2005 | Question: 22
In the following figure, the diameter of the circle is $3$ cm. $\text{AB}$ and $\text{MN}$ are two diameters such that $\text{MN}$ is perpendicular to $\text{AB.}$ In addition, $\text{CG}$ is perpendicular to $\text{AB}$ such that $\text{AE : EB} = 1 : 2,$ and $\text{DF}$ is ... cm is $2\sqrt{2} -1$ $((2\sqrt{2} -1 ))/2$ $((3\sqrt{2} -1 ))/2$ $((2\sqrt{2} -1 ))/3$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
275
views
cat2005
quantitative-aptitude
geometry
0
votes
0
answers
180
CAT 2005 | Question: 20
Rectangular tiles each of size $70$ cm by $30$ cm must be laid horizontally on a rectangular floor of size $110$ cm by $130$ cm, such that the tiles do not overlap. A tile can be placed in any orientation so long as its edges are parallel to the edges on ... overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is $4$ $5$ $6$ $7$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
252
views
cat2005
quantitative-aptitude
geometry
0
votes
0
answers
181
CAT 2005 | Question: 17
Four points $\text{A, B, C}$ and $\text{D}$ lie on the straight line in $\text{X-Y}$ plane, such that $\text{AB = BC = CD}$ and the length of $\text{AB}$ is $1$ meter. An ant at $\text{A}$ wants to reach a sugar particle at $\text{D}.$ ... . The minimum distance in meters the ant must traverse to reach the sugar particle is $3\sqrt{2}$ $1 + \pi$ $\frac{4 \pi}{3}$ $5$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
183
views
cat2005
quantitative-aptitude
geometry
0
votes
1
answer
182
CAT 2005 | Question: 12
Consider a triangle drawn on the $\text{X-Y}$ plane with its three vertices at $(41, 0), (0, 41),$ and $(0, 0)$ each vertex being represented by its $\text{(X, Y)}$ coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is $780$ $800$ $820$ $741$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
713
views
cat2005
quantitative-aptitude
geometry
cartesian-coordinates
0
votes
1
answer
183
CAT 2005 | Question: 09
What is the distance in cm between two parallel chords of length $32$ cm and $24$ cm in a circle of radius $20$ cm? $1$ or $7$ $2$ or $14$ $3$ or $21$ $4$ or $28$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
210
views
cat2005
quantitative-aptitude
geometry
0
votes
1
answer
184
CAT 2005 | Question: 03
Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side $1$ cm. The area in sq. cm of the portion that is common to the two circles is $\pi / 4$ $\frac{\pi}{2} – 1$ $\frac{\pi}{5}$ $\sqrt{2} – 1$
go_editor
asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.4k
points
331
views
cat2005
quantitative-aptitude
geometry
0
votes
0
answers
185
CAT 2006 | Question: 75
An equilateral triangle $\text{BP}$ is drawn inside a square $\text{ABCD}.$ What is the value of the angle $\text{APD}$ in degrees? $75$ $90$ $120$ $135$ $150$
go_editor
asked
in
Quantitative Aptitude
Dec 28, 2015
by
go_editor
13.4k
points
172
views
cat2006
quantitative-aptitude
geometry
0
votes
1
answer
186
CAT 2006 | Question: 71
A semi-circle is drawn with $\text{AB}$ as its diameter. From $\text{C}$, a point on $\text{AB,}$ a line perpendicular to $\text{AB}$ is drawn meeting the circumference of the semi-circle at $\text{D.}$ Given that $\text{AC = 2 cm}$ and $\text{CD = 6 cm}$ the area of the semi-circle (in sq. cm) will be $32 \pi$ $50 \pi$ $40.5 \pi$ $81 \pi$ undeterminable
go_editor
asked
in
Quantitative Aptitude
Dec 28, 2015
by
go_editor
13.4k
points
220
views
cat2006
quantitative-aptitude
geometry
0
votes
0
answers
187
CAT 2006 | Question: 63
Below question is on the basis of information given below: A punching machine is used to punch a circular hole of diameter $2$ units from a square sheet of aluminium of width $2$ units, as shown below. The hole is punched such that circular hole touches one corner P of the square sheet and the diameter of ... $(6- \pi) /8$ $(4- \pi) /4$ $(\pi - 2) /4$ $(14-3 \pi) /6$
go_editor
asked
in
Quantitative Aptitude
Dec 28, 2015
by
go_editor
13.4k
points
165
views
cat2006
quantitative-aptitude
geometry
0
votes
0
answers
188
CAT 2007 | Question: 03
Two circles with centres $\text{P}$ and $\text{Q}$ cut each other at two distinct points $\text{A}$ and $\text{B}.$ The circles have the same radii and neither $\text{P}$ nor $\text{Q}$ falls within the intersection of the circles. What is the smallest range that ... Between $0$ and $90$ Between $0$ and $30$ Between $0$ and $60$ Between $0$ and $75$ Between $0$ and $45$
go_editor
asked
in
Quantitative Aptitude
Dec 6, 2015
by
go_editor
13.4k
points
158
views
cat2007
quantitative-aptitude
geometry
0
votes
0
answers
189
CAT 2008 | Question: 23
Two circles, both of radii $1$ cm, intersect such that the circumference of each one passes through the centre of the other. What is the area (in sq cm) of the intersecting region? $\frac{\pi}{3} - \frac{\sqrt{3}} {4} $ $\frac{2 \pi}{3} + \frac{\sqrt{3}} {2} $ ... $\frac{4 \pi}{3} + \frac{\sqrt{3}} {2} $ $\frac{2 \pi}{3} - \frac{\sqrt{3}} {2} $
go_editor
asked
in
Quantitative Aptitude
Nov 29, 2015
by
go_editor
13.4k
points
180
views
cat2008
quantitative-aptitude
geometry
1
vote
1
answer
190
CAT 2008 | Question: 19
Consider obtuse-angled triangles with sides $8$ cm, $15$ cm and $x$ cm. If x is an integer, then how many such triangles exist? $5$ $21$ $10$ $15$ $14$
go_editor
asked
in
Quantitative Aptitude
Nov 28, 2015
by
go_editor
13.4k
points
475
views
cat2008
quantitative-aptitude
geometry
1
vote
1
answer
191
CAT 2008 | Question: 18
Consider a square $\text{ABCD}$ with midpoints $\text{E, F, G, H}$ of $\text{AB, BC, CD}$ and $\text{DA}$ respectively. Let $\text{L}$ denote the line passing through $\text{F}$ and $\text{H}.$ Consider points $\text{P}$ and $\text{Q},$ on $\text{L}$ and inside $\text{ABCD},$ ... $2 + \sqrt{3}$ $\frac{10-3 \sqrt{3} } {9} $ $1+ \frac{1}{\sqrt{3} }$ $2 \sqrt{3} -1$
go_editor
asked
in
Quantitative Aptitude
Nov 28, 2015
by
go_editor
13.4k
points
2.4k
views
cat2008
quantitative-aptitude
geometry
0
votes
0
answers
192
CAT 2008 | Question: 07
In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\text{BC}$ such that $\text{AD}$ is perpendicular to $\text{BC}.$ ... what is the radius (in cm) of the circle circumscribing the triangle $\text{ABC}?$ $17.05$ $27.85$ $22.45$ $32.25$ $26.25$
go_editor
asked
in
Quantitative Aptitude
Nov 28, 2015
by
go_editor
13.4k
points
256
views
cat2008
quantitative-aptitude
geometry
2
votes
2
answers
193
In the given figure, ∠BAC = 120° and AD is the bisector of ∠BAC.
makhdoom ghaya
asked
in
Quantitative Aptitude
Aug 25, 2015
by
makhdoom ghaya
7.9k
points
864
views
quantitative-aptitude
geometry
triangle
Page:
« prev
1
2
3
4
5
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Subjects
All categories
English Language
(1.7k)
Analytical Aptitude
(1.5k)
Quantitative Aptitude
(1.9k)
Spatial Aptitude
(11)
General Awareness
(139)
Computer Knowledge
(70)
Attitude and Leadership
(120)
Teaching Skills
(0)
Others
(0)
Recent Posts
UPSC CDS II 2021
HOW TO PREPARE FOR IELTS?
Previous Year CAT Papers
GRE Exam: New Test Pattern 2016 – 2017
Raise your Visibility to Attract GRE Test Takers
Recent questions tagged geometry