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Recent questions tagged geometry
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81
CAT 2011 | Question: 10
In the figure alongside, $\triangle \text{ABC}$ is equilateral with area $\text{S. M}$ is the mid-point of $\text{BC and P}$ is a point on $\text{AM}$ extended such that $\text{MP = BM}$. If the semi-circle on $\text{AP intersects CB}$ extended at $\text{Q}$ and the area of a ... true? $\text{T} = \sqrt{2}\; \text{S}$ $\text{T = S}$ $T = \sqrt{3}\; \text{S}$ $\text{T = 2S}$
Krithiga2101
asked
in
Quantitative Aptitude
Mar 9, 2020
by
Krithiga2101
268
points
272
views
cat2011
quantitative-aptitude
geometry
0
votes
0
answers
82
CAT 2011 | Question: 16
Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the number of full unit-squares that fell within the perimeter of the circle. If the value that ... the correct value, In the above question what is the minimum possible value of $d?$ $4.56$ $5.56$ $6.56$ $3.56$
Krithiga2101
asked
in
Quantitative Aptitude
Mar 9, 2020
by
Krithiga2101
268
points
243
views
cat2011
quantitative-aptitude
geometry
0
votes
0
answers
83
CAT 2011 | Question: 15
Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the number of full unit-squares that fell within the perimeter of the circle. If the value that ... $d?$ $6.28$ $7.28$ $7.56$ $8.56$
Krithiga2101
asked
in
Quantitative Aptitude
Mar 9, 2020
by
Krithiga2101
268
points
454
views
cat2011
quantitative-aptitude
geometry
1
vote
1
answer
84
CAT 2019 Set-1 | Question: 71
Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is $5:6$ $4:5$ $3:4$ $2:3$
go_editor
asked
in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
365
views
cat2019-1
quantitative-aptitude
geometry
2
votes
1
answer
85
CAT 2019 Set-1 | Question: 77
With rectangular axes of coordinates, the number of paths from $(1,1)$ to $(8,10)$ via $(4,6)$, where each step from any point $(x,y)$ is either to $(x,y+1)$ or to $(x+1, y)$, is _______
go_editor
asked
in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
222
views
cat2019-1
quantitative-aptitude
geometry
cartesian-coordinates
numerical-answer
2
votes
1
answer
86
CAT 2019 Set-1 | Question: 80
Let T be the triangle formed by the straight line $3x+5y-45=0$ and T the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is ______
go_editor
asked
in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
228
views
cat2019-1
quantitative-aptitude
geometry
cartesian-coordinates
numerical-answer
1
vote
1
answer
87
CAT 2019 Set-1 | Question: 76
In a circle of radius $11$ cm, CD is a diameter and AB is a chord of length $20.5$ cm. If AB and CD intersect at a point E inside the circle and CE has length $7$ cm, then the difference of the lengths of BE and AE, in cm, is $2.5$ $3.5$ $0.5$ $1.5$
go_editor
asked
in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
236
views
cat2019-1
quantitative-aptitude
geometry
1
vote
1
answer
88
CAT 2019 Set-1 | Question: 86
$\text{AB}$ is a diameter of a circle of radius $5$ cm. Let $\text{P}$ and $\text{Q}$ be two points on the circle so that the length of $\text{PB}$ is $6$ cm, and the length of $\text{AP}$ is twice that of $\text{AQ}$. Then the length, in cm, of $\text{QB}$ is nearest to $7.8$ $8.5$ $9.1$ $9.3$
go_editor
asked
in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
254
views
cat2019-1
quantitative-aptitude
geometry
0
votes
0
answers
89
CAT 2013 | Question: 10
$a,b$ and $c$ are the lengths of the triangle $\text{ABC}$ and $d,e$ and $f$ are the lengths of the sides of the triangle $\text{DEF}$. If the following equations hold true: $a(a+b+c)=d^2$ $b(a+b+c)=e^2$ ... is always true of triangle $\text{DEF}?$ It is an acute-angled triangle It is an right-angled triangle It is an obtuse-angled triangle None of the above
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
193
views
cat2013
quantitative-aptitude
geometry
0
votes
0
answers
90
CAT 2013 | Question: 17
In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R}=120^{\circ}$. If the angle bisector of $\angle \text{P}$ meets $\text{QR}$ at $\text{M}$, find the length of $\text{PM}$ $\dfrac{28\sqrt5}{9}$ cm $\dfrac{42\sqrt5}{11}$ cm $\dfrac{36\sqrt3}{7}$ cm $4\sqrt3$
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
196
views
cat2013
quantitative-aptitude
geometry
0
votes
0
answers
91
CAT 2013 | Question: 16
In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R} = 120^{\circ}$. Find the length of $\text{QR}$ $\dfrac{15}{\sqrt2}$ cm $3\sqrt13$ cm $5\sqrt5$ cm $5\sqrt17$ cm
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
173
views
cat2013
quantitative-aptitude
geometry
0
votes
0
answers
92
CAT 2013 | Question: 27
Each side of a polygon is either parallel to the $x$-axis or parallel to the $y$-axis. A corner of the polygon is known as convex if the corresponding internal angle is $90^\circ$ and as concave if the corresponding internal angle is $270^\circ$. If the polygon has $26$ convex corners, the number of its concave corners is $18$ $22$ $26$ $24$
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
218
views
cat2013
quantitative-aptitude
geometry
0
votes
0
answers
93
CAT 2013 | Question: 30
The line $\text{L}$ passing through the points $(1,1)$ and $(2,0)$ meets the $y$-axis at $\text{A}$. The line through the point $\left(\dfrac{1}{2},0 \right)$ and perpendicular to $\text{L}$ meets the $y$-axis at $\text{B}$ and $\text{L}$ at $\text{C}$. Find area of the triangle $\text{ABC}$ $\dfrac{25}{16} \\$ $\dfrac{16}{9} \\$ $\dfrac{32}{19} \\$ $\dfrac{40}{23}$
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
228
views
cat2013
quantitative-aptitude
geometry
cartesian-coordinates
0
votes
0
answers
94
CAT 2012 | Question: 30
The side of an equilateral triangle is $10$ cm long. By drawing parallels to all its sides, the distance between any two parallel lines being the same. The triangle is divided into smaller equilateral triangle, each of which has sides of length $1$ cm. How many such small triangles are formed? $60$ $90$ $120$ None of these
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
329
views
cat2012
quantitative-aptitude
geometry
0
votes
0
answers
95
CAT 2012 | Question: 21
In the figure given, $\text{OABC}$ is a parallelogram. The area of the parallelogram is $21$ sq units and the point $\text{C}$ lies on the line $x= 3$. Find the coordinates of $\text{B}$. $(3,10)$ $(10,3)$ $(10,10)$ $(8,3)$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
268
views
cat2012
quantitative-aptitude
geometry
cartesian-coordinates
0
votes
0
answers
96
CAT 2012 | Question: 11
A rectangle is drawn such that none of its sides has length greater than $‘a\text{’}$. All lengths less than $‘a\text{’}$ are equally likely. The chance that the rectangle has its diagonal greater than $‘a\text{’}$ is (in terms of $\%)$ $29.3 \%$ $21.5\%$ $66.66\%$ $33.33\%$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
122
views
cat2012
quantitative-aptitude
geometry
0
votes
0
answers
97
CAT 2012 | Question: 7
In the figure below, $\angle \text{MON} = \angle \text{MPO} = \angle \text{NQO} = 90^{\circ}$ and $\text{OQ}$ is the bisector of $\angle \text{MON}$ and $\text{QN} = 10, \text{OR} = 40/7$. Find $\text{OP}$. $4.8$ $4.5$ $4$ $5$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
158
views
cat2012
quantitative-aptitude
geometry
1
vote
1
answer
98
CAT 2010 | Question: 4
Consider the following statements : When two straight lines intersect, then : adjacent angles are complementary adjacent angles are supplementary opposite angles are equal opposite angles are supplementary Of these statements: (I) and (III) are correct (II) and (III) are correct (I) and (IV) are correct (II) and (IV) are correct
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
382
views
cat2010
quantitative-aptitude
geometry
0
votes
0
answers
99
CAT 2010 | Question: 6
From a square piece of card-board measuring $2a$ on each side of a box with no top is to be formed by cutting out from each corner a square with sides $b$ and bending up the flaps. The value of $b$ for which the box has the greatest volume is $b= \frac{a}{5}$ $b= \frac{a}{4}$ $b= \frac{2a}{3}$ $b= \frac{a}{2}$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
243
views
cat2010
quantitative-aptitude
geometry
1
vote
1
answer
100
CAT 2010 | Question: 7
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius $4$ $2$ $3$ None of these
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
577
views
cat2010
quantitative-aptitude
geometry
0
votes
0
answers
101
CAT 2010 | Question: 5
A pole has to be erected on the boundary of a circular park of diameter $13$ meters in such a way that the difference of its distances from two diametrically opposite fixed gates $\text{A}$ and $\text{B}$ on the boundary is $7$ meters. The distance of the pole from one of the gates is: $8$ metres $8.25$ metres $5$ metres None these
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
314
views
cat2010
quantitative-aptitude
geometry
0
votes
0
answers
102
CAT 2010 | Question: 11
$\text{ABCD}$ is a rectangle. The points $\text{P}$ and $\text{Q}$ lie on $\text{AD}$ and $\text{AB}$ respectively. If the triangle $\text{PAQ, QBC}$ and $\text{PCD}$ all have the same areas and $\text{BQ} = 2$, then $\text{AQ} = $ $1+\sqrt{5}$ $1-\sqrt{5}$ $\sqrt{7}$ $2\sqrt{7}$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
148
views
cat2010
quantitative-aptitude
geometry
1
vote
1
answer
103
GEOMETRY
A car is approaching a light houise at uniform speed.The angle of elevation of car at the top of the light house changes from 45 to 60(IN DEGREES) in10 min.The time (in min) in which the car reach the base of the tower ?
junaid ahmad
asked
in
Quantitative Aptitude
Dec 16, 2018
by
junaid ahmad
36
points
493
views
geometry
2
votes
1
answer
104
volume and surface area
a hollow iron pipe is 21cm long and its external diameter is 8cm. if the thickness of the pipe is 1 cm and iron weigth is 8 g/cm3 then the weigth of the pipe is?
gabbar
asked
in
Quantitative Aptitude
Oct 28, 2017
by
gabbar
76
points
474
views
quantitative-aptitude
geometry
2
votes
1
answer
105
CAT 1994 | Question: 59
Choose the best alternative: A right circular cone of height h’ is cut by a plane parallel to the base and at a distance h/3 from the vertex, then the volumes of the resulting cone and frustum are in the ratio: 1 : 3 8 : 19 1 : 4 1 : 7
makhdoom ghaya
asked
in
Quantitative Aptitude
Oct 12, 2017
by
makhdoom ghaya
7.9k
points
749
views
cat1994
quantitative-aptitude
geometry
3
votes
1
answer
106
CAT 1994 | Question: 56
Choose the best alternative A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal their diameters. Then their volumes are proportional, respectively to: 1:3:1 2:1:3 3:2:1 1:2:3
makhdoom ghaya
asked
in
Quantitative Aptitude
Oct 12, 2017
by
makhdoom ghaya
7.9k
points
578
views
cat1994
quantitative-aptitude
geometry
1
vote
1
answer
107
CAT 1995 | Question: 100
What is the area of the triangle? I. Two sides are 41 cm each II. The altitude to the third side is 9 cm long. if the questions can be answered with the help of both the statements but not with the help of either statement itself. if the question ... can be answered with the help $0$ statement $II$ alone if the question can be answered with the help of statement $I$ alone
makhdoom ghaya
asked
in
Quantitative Aptitude
Aug 31, 2017
by
makhdoom ghaya
7.9k
points
481
views
cat1995
quantitative-aptitude
geometry
triangle
2
votes
1
answer
108
CAT 1995 | Question: 96
What is the length of the rectangle ABCD? I. Area of the rectangle is 48 square units II. Length of the diagonal is 10 units If the questions can be answered with the help of both the statements but not with the help of either statement itself. If the ... be answered with the help $0$ statement $II$ alone If the question can be answered with the help of statement $I$ alone
makhdoom ghaya
asked
in
Quantitative Aptitude
Aug 31, 2017
by
makhdoom ghaya
7.9k
points
574
views
cat1995
statement-sufficiency
quantitative-aptitude
geometry
triangle
1
vote
1
answer
109
CAT 1995 | Question: 84
The length of a ladder is exactly equal to the height of the wall it is resting against. If lower end of the ladder is kept on a stool of height $3$ m and the stool is kept $9$ m away from the wall, the upper end of the ladder coincides with the top of the wall. Then, the height of the wall is: $12$m $15$m $18$m $11$m
makhdoom ghaya
asked
in
Quantitative Aptitude
Aug 30, 2017
by
makhdoom ghaya
7.9k
points
433
views
cat1995
quantitative-aptitude
geometry
3
votes
1
answer
110
CAT 1995 | Question: 83
AB is the diameter of the circle and the points C and D are on the circumference such that $\angle CAD=30^o$. What is the measure of $\angle ACD$?
makhdoom ghaya
asked
in
Quantitative Aptitude
Aug 30, 2017
by
makhdoom ghaya
7.9k
points
1.2k
views
cat1995
quantitative-aptitude
geometry
circle
3
votes
1
answer
111
CAT 1995 | Question: 81
Choose the correct option: AB is perpendicular to BC and BD is perpendicular to AC. CE bisects the angle C; $\angle A=30^{\circ}$ Then, what is $\angle CED$? $30^{\circ}$ $60^{\circ}$ $45^{\circ}$ $65^{\circ}$
makhdoom ghaya
asked
in
Quantitative Aptitude
Aug 30, 2017
by
makhdoom ghaya
7.9k
points
996
views
cat1995
quantitative-aptitude
geometry
triangle
3
votes
1
answer
112
CAT 1995 | Question: 75
Choose the correct option: In the adjoining figure, $AC + AB = 5 AD$ and $AC – AD = 8$. The area of the rectangle ABCD is: $36$ $50$ $60$ Cannot be answered.
makhdoom ghaya
asked
in
Quantitative Aptitude
Aug 30, 2017
by
makhdoom ghaya
7.9k
points
1.3k
views
cat1995
quantitative-aptitude
geometry
rectangle
–1
vote
1
answer
113
CAT 1996 | Question: 109
A closed wooden box of thickness $0.5$ cm and length $21$ cm, width $11$ cm, and height $6$ cm, is panted on the inside. The cost of painting is Rs $70$. What is the rate of painting in rupees per sq. cm? $0.7$ $0.5$ $0.1$ $0.2$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jul 16, 2017
by
makhdoom ghaya
7.9k
points
463
views
cat1996
quantitative-aptitude
geometry
0
votes
1
answer
114
CAT 1999 | Question: 160
The question is followed by two statements I and II. Mark if the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone. if the question can be answered by using either statement alone. if ... the angles between each tangent and the X-axis. The coordinates of D are given. The X-axis bisects one of the tangents.
go_editor
asked
in
Logical Reasoning
May 16, 2016
by
go_editor
13.4k
points
407
views
logical-reasoning
cat1999
geometry
circle
0
votes
0
answers
115
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 ... $\frac{2(2-\sqrt{2})}{a}$ $\frac{2(2+\sqrt{2})}{a}$ $\frac{2(1+2\sqrt{2})}{a}$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
202
views
cat2003-2
quantitative-aptitude
geometry
0
votes
0
answers
116
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
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
275
views
cat2003-2
quantitative-aptitude
geometry
0
votes
0
answers
117
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 $\text{ABCD}$ ... $\text{AE : AD}?$ $1:\sqrt{3}$ $1:\sqrt{2}$ $1:2\sqrt{3}$ $1:2$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
525
views
cat2003-2
quantitative-aptitude
geometry
0
votes
0
answers
118
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 ... $1:1$ $\sqrt{2} : 1$ $\frac{n(4-\pi)}{4n-\pi}$ $\frac{4n-\pi}{n(4-\pi)}$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
209
views
cat2003-2
quantitative-aptitude
geometry
0
votes
0
answers
119
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
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
233
views
cat2003-2
quantitative-aptitude
geometry
0
votes
0
answers
120
CAT 2003 | Question: 2-85
In the figure (not drawn to scale) given below, $\text{P}$ is a point on $\text{AB}$ such that $\text{AP : PB} = 4:3. \;\text{PQ}$ is parallel to $\text{AC}$ and $\text{QD}$ is parallel to $\text{CP.}$ In $\triangle \text{ARC},\measuredangle \text{ARC} = 90^{\circ}$ ... $\text{QS}$ is $6$ cms. What is ratio $\text{AP : PD}?$ $10:3$ $2:1$ $7:3$ $8:3$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
166
views
cat2003-2
quantitative-aptitude
geometry
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