Register

Recent questions tagged geometry

1 1 vote
1 1 answer
2.3k
2.3k views
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 ke...
5 5 votes
1 answers 1 answer
4.4k
4.4k views
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 $\angle ACD$?
5 5 votes
1 1 answer
4.8k
4.8k views
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}$$6...
6 6 votes
1 answers 1 answer
3.7k
3.7k views
CAT 1995 | Question: 75
Choose the correct option:In the adjoining figure, $AC + AB = 5 AD$ and $AC – AD = 8$. The area of the rectangle ABCD is:$36$ $50$ $60$ Cannot be answered.
–1 –1 vote
1 answers 1 answer
2.1k
2.1k views
CAT 1996 | Question: 109
A closed wooden box of thickness $0.5$ cm and length $21$ cm, width $11$ cm, and height $6$ cm, is panted on the inside. The cost of painting is Rs $70$. What is the rate...
0 0 votes
1 1 answer
1.7k
1.7k views
CAT 1999 | Question: 160
The question is followed by two statements I and II.Markif the question can be answered by any one of the statements alone, but cannot be answered by using the other stat...
0 0 votes
0 0 answers
1.3k
1.3k views
CAT 2003 | Question: 2-97
Let $S_1$ be a square of side a. Another square $S_2$ is formed by joining the mid-points of the sides of $S_1$. The same process is applied to $S_2$ to form yet another ...
0 0 votes
0 0 answers
1.2k
1.2k views
CAT 2003 | Question: 2-95
In the figure given below (not drawn to scale), $\text{A, B}$ and $\text{C}$ are three points on a circle with centre $\text{O}.$ The chord $\text{BA}$ is extended to a p...
0 0 votes
0 0 answers
1.5k
1.5k views
CAT 2003 | Question: 2-92
In the figure below (not drawn to scale), rectangle $\text{ABCD}$ is inscribed in the circle with centre at $\text{O}.$ The length of side $\text{AB}$ is greater than tha...
0 0 votes
0 0 answers
1.3k
1.3k views
CAT 2003 | Question: 2-91
Consider two different cloth-cutting processes. In the first one, $n$ circular cloth pieces are cut from a square cloth piece of side $a$ in the following steps: the orig...
0 0 votes
0 0 answers
1.1k
1.1k views
CAT 2003 | Question: 2-87
In the figure (not drawn to scale) given below, if $\text{AD = CD = BC},$ and $\measuredangle \text{BCE} = 96^{\circ}$, how much is $\measuredangle \text{DBC}?$$32^{\cir...
0 0 votes
0 0 answers
1.0k
1.0k views
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{Q...
0 0 votes
0 0 answers
989
989 views
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, triang...
0 0 votes
0 0 answers
1.0k
1.0k views
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}$$\fr...
0 0 votes
0 0 answers
2.1k
2.1k views
CAT 2003 | Question: 2-68
Answer the question on the basis on the basis of the information given below.Consider three circular parks of equal size with centres at $A_1,\:\: A_2,\:\:$ and $A_3$ res...
0 0 votes
0 0 answers
2.9k
2.9k views
CAT 2003 | Question: 2-67
Answer the question on the basis on the basis of the information given below.Consider three circular parks of equal size with centres at $A_1,\:\: A_2,\:\:$ and $A_3$ res...
1 1 vote
0 0 answers
6.2k
6.2k views
CAT 2003 | Question: 2-66
Answer the question on the basis on the basis of the information given below.Consider three circular parks of equal size with centres at $A_1,\:\: A_2,\:\:$ and $A_3$ res...
0 0 votes
0 0 answers
1.0k
1.0k views
CAT 2003 | Question: 2-55
A square tin sheet of side $12$ inches is converted into a box with open top in the following steps – The sheet is placed horizontally. Then, equal sized squares, each of...
1 1 vote
1 1 answer
1.9k
1.9k views
CAT 2003 | Question: 2-51
A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a $35\%$ red...
0 0 votes
0 0 answers
1.7k
1.7k views
CAT 2006 | Question: 64
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 wi...
0 0 votes
1 1 answer
3.7k
3.7k views
CAT 2004 | Question: 58
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 eac...
0 0 votes
0 0 answers
1.6k
1.6k views
CAT 2004 | Question: 57
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 eac...
0 0 votes
0 0 answers
1.3k
1.3k views
CAT 2003 | Question: 1-125
Choose $1$ if the question can be answered by one of the statements alone but not by the other.Choose $2$ if the question can be answered by using either statement alone....
0 0 votes
0 0 answers
1.3k
1.3k views
CAT 2003 | Question: 1-123
Choose $1$ if the question can be answered by one of the statements alone but not by the other.Choose $2$ if the question can be answered by using either statement alone....
0 0 votes
0 0 answers
1.9k
1.9k views
CAT 2002 | Question: 89
Answer the question based on the diagramIn the diagram below Angle $\text{ABC} = 90^{\circ} = \text{Angle DCH = Angle DOE = Angle EHK = Angle FKL = Angle GLM = Angle LMN...
0 0 votes
0 0 answers
1.0k
1.0k views
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, i...
1 1 vote
1 1 answer
2.0k
2.0k views
CAT 2001 | Question: 40
Based on the figure below, what is the value of $x,$ if $y = 10?$$0$$11$$12$None of these
1 1 vote
2 answers 2 answers
5.4k
5.4k views
CAT 2001 | Question: 34
In $\triangle \text{DEF}$ shown below, points $\text{A, B,}$ and $\text{C}$ are taken on $\text{DE, DF}$ and $\text{EF}$ respectively such that $\text{EC = AC}$ and $\tex...
0 0 votes
0 0 answers
1.3k
1.3k views
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?$\s...
1 1 vote
1 1 answer
2.6k
2.6k views
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 th...
0 0 votes
0 0 answers
1.3k
1.3k views
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...
0 0 votes
0 0 answers
1.8k
1.8k views
CAT 2001 | Question: 7
A certain city has a circular wall around it, and this wall has four gates pointing north, south, east and west. A house stands outside the city, three km north of the no...
2 2 votes
1 1 answer
2.2k
2.2k views
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$\fra...
0 0 votes
0 0 answers
1.4k
1.4k views
CAT 2000 | Question: 110
A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence-posts at six metre intervals, with posts f...
0 0 votes
0 0 answers
1.8k
1.8k views
CAT 2000 | Question: 106
ABCDEFGH is a regular octagon. A and E are opposite vertices of the octagon. A frog starts jumping from vertex to vertex, beginning from A. From any vertex of the octagon...
0 0 votes
0 0 answers
1.3k
1.3k views
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}$
0 0 votes
0 0 answers
1.3k
1.3k views
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 isequilateral isoscelesright angled obtuse angled
0 0 votes
0 0 answers
1.1k
1.1k views
CAT 2000 | Question: 97
Consider a circle with unit radius. There are $7$ adjacent sectors, $\text{S}_1, \text{S}_2, \text{S}_3,\dots, \text{S}_7$ in the circle such that their total area is $(1...
0 0 votes
1 1 answer
2.6k
2.6k views
CAT 2000 | Question: 96
$\text{ABCD}$ is a rhombus with the diagonals $\text{AC}$ and $\text{BD}$ intersecting at the origin on the $x-y$ plane. The equation of the straight line $\text{AD}$ is ...
0 0 votes
0 0 answers
1.5k
1.5k views
CAT 2002 | Question: 88
Answer the question based on the diagramIn the diagram below Angle $\text{ABC} = 90^{\circ} = \text{Angle DCH = Angle DOE = Angle EHK = Angle FKL = Angle GLM = Angle LMN...
Page: