Register

Recent questions tagged geometry

1 1 vote
1 1 answer
1.9k
1.9k views
CAT 2016 | Question: 71
From a circular sheet of paper with a radius $20\:\text{cm}$, four circles of radius $5\:\text{cm}$ each are cut out. What is the ratio of the uncut to the cut portion?$1...
1 1 vote
1 1 answer
1.8k
1.8k views
CAT 2016 | Question: 79
In $\triangle \text{ABC},\:\angle \text{B}$ is a right angle, $\text{AC} = 6$ cm, and $\text{D}$ is the mid-point of $\text{AC}$. The length of $\text{BD}$ is ___________
1 1 vote
1 1 answer
1.7k
1.7k views
CAT 2016 | Question: 76
The figure shows a circle of diameter $\text{AB}$ and radius $6.5$ cm.If chord $\text{CA}$ is $5$ cm long, find the area of $\triangle \text{ABC}$ __________
1 1 vote
1 1 answer
1.8k
1.8k views
CAT 2016 | Question: 90
The points of intersection of three lines $2\text{X} + 3\text{Y} – 5 = 0, 5\text{X} – 7\text{Y} + 2 = 0$ and $9\text{X} – 5\text{Y} – 4= 0$form a triangleare on lines per...
0 0 votes
1 1 answer
1.6k
1.6k views
CAT 2015 | Question: 72
$\text{PQRS}$ is a square. $\text{SR}$ is a tangent (at point $\text{S})$ to the circle with centre $\text{O}$ and $\text{TR = OS}$. Then the ratio of area of the circle ...
0 0 votes
0 0 answers
1.1k
1.1k views
CAT 2015 | Question: 73
From a circular sheet of paper with a radius $20$ cm, four circles of radius $5$ each are cut out. What is the ratio of the uncut to the cut portion?$1: 3$$4: 1$$3: 1$$4:...
0 0 votes
1 1 answer
2.0k
2.0k views
CAT 2015 | Question: 71
$\text{ABCD}$ is a square of area $4$ with diagonals $\text{AC}$ and $\text{BD}$, dividing square into $4$ congruent triangles. Figure looks like four non-over lapping tr...
1 1 vote
1 1 answer
1.7k
1.7k views
CAT 2015 | Question: 76
The figure shows the rectangle $\text{ABCD}$ with a semicircle and a circle inscribed inside in it as shown. What is the ratio of the area of the circle to that of the se...
0 0 votes
1 1 answer
1.7k
1.7k views
CAT 2015 | Question: 80
$\text{ABCD}$ is a rhombus with the diagonals $\text{AC}$ and $\text{BD}$ intersecting at the origin on the $x\text{-}y$ plane. The equation of the straight line $\text{A...
0 0 votes
0 0 answers
1.2k
1.2k views
CAT 2015 | Question: 83
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}$. Then $\angle \text{DAE}$ is approximately$15^{\circ}$$20^{\circ}$$30^{\circ}$$25^{\circ}$
0 0 votes
0 0 answers
2.4k
2.4k views
CAT 2011 | Question: 5
On a plate in the shape of an equilateral triangle $\text{ABC}$ with area $16\sqrt 3\;\text{sq cm}$, a rod $\text{GD}$, of height $8\:\text{cm}$, is fixed vertically at t...
0 0 votes
0 0 answers
1.2k
1.2k views
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 ...
0 0 votes
0 0 answers
1.4k
1.4k views
CAT 2011 | Question: 14
In the figure alongside, $\text{O}$ is the centre of the circle and $\text{AC}$ is the diameter. The line $\text{FEG}$ is tangent to the circle at $\text{E}$. If $\angle ...
0 0 votes
0 0 answers
1.5k
1.5k views
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 n...
0 0 votes
0 0 answers
1.7k
1.7k views
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 n...
1 1 vote
1 1 answer
2.2k
2.2k views
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$$2:3$
2 2 votes
1 1 answer
1.8k
1.8k views
CAT 2019 Set-1 | Question: 77
With rectangular axes of coordinates, the number of paths from $(1,1)$ to $(8,10)$ via $(4,6)$, where each step from any point $(x,y)$ is either to $(x,y+1)$ or to $(x+1,...
2 2 votes
1 1 answer
1.6k
1.6k views
CAT 2019 Set-1 | Question: 80
Let T be the triangle formed by the straight line $3x+5y-45=0$ and T the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as ...
1 1 vote
1 1 answer
1.7k
1.7k views
CAT 2019 Set-1 | Question: 76
In a circle of radius $11$ cm, CD is a diameter and AB is a chord of length $20.5$ cm. If AB and CD intersect at a point E inside the circle and CE has length $7$ cm, the...
1 1 vote
1 1 answer
1.8k
1.8k views
CAT 2019 Set-1 | Question: 86
$\text{AB}$ is a diameter of a circle of radius $5$ cm. Let $\text{P}$ and $\text{Q}$ be two points on the circle so that the length of $\text{PB}$ is $6$ cm, and the len...
0 0 votes
0 0 answers
1.2k
1.2k views
CAT 2013 | Question: 10
$a,b$ and $c$ are the lengths of the triangle $\text{ABC}$ and $d,e$ and $f$ are the lengths of the sides of the triangle $\text{DEF}$. If the following equations hold tr...
0 0 votes
0 0 answers
1.2k
1.2k views
CAT 2013 | Question: 17
In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R}=120^{\circ}$. If the angle bisector of $\angle \text{P}$ meets $\text{...
0 0 votes
0 0 answers
1.2k
1.2k views
CAT 2013 | Question: 16
In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R} = 120^{\circ}$. Find the length of $\text{QR}$$\dfrac{15}{\sqrt2}$ cm$...
1 1 vote
0 0 answers
1.3k
1.3k views
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 $...
0 0 votes
0 0 answers
1.3k
1.3k views
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 perpend...
0 0 votes
0 0 answers
1.6k
1.6k views
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 di...
0 0 votes
0 0 answers
1.4k
1.4k views
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 coordinat...
0 0 votes
0 0 answers
1.1k
1.1k views
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 rectangl...
0 0 votes
0 0 answers
1.3k
1.3k views
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,...
1 1 vote
1 1 answer
2.2k
2.2k views
CAT 2010 | Question: 4
Consider the following statements :When two straight lines intersect, then :adjacent angles are complementaryadjacent angles are supplementaryopposite angles are equalopp...
0 0 votes
0 0 answers
1.7k
1.7k views
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 ...
1 1 vote
1 1 answer
2.6k
2.6k views
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...
0 0 votes
0 0 answers
1.3k
1.3k views
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 fix...
0 0 votes
0 0 answers
1.1k
1.1k views
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...
1 1 vote
1 1 answer
2.4k
2.4k views
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 ...
2 2 votes
1 1 answer
2.6k
2.6k views
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?
2 2 votes
1 1 answer
2.8k
2.8k views
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 resul...
3 3 votes
1 answers 1 answer
2.1k
2.1k views
CAT 1994 | Question: 56
Choose the best alternativeA right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal the...
1 1 vote
1 1 answer
1.8k
1.8k views
CAT 1995 | Question: 100
What is the area of the triangle?I. Two sides are 41 cm eachII. The altitude to the third side is 9 cm long.if the questions can be answered with the help of both the sta...
2 2 votes
1 1 answer
3.3k
3.3k views
CAT 1995 | Question: 96
What is the length of the rectangle ABCD?I. Area of the rectangle is 48 square unitsII. Length of the diagonal is 10 unitsIf the questions can be answered with the help o...
Page: