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Recent questions tagged mensuration
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1
CAT 2003 | Question: 2-65
Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of $n$ turns (in other words, the ... drawn to scale). How is $h$ related to $n?$ $h=\sqrt{2}n$ $h=\sqrt{17}n$ $h=n$ $h=\sqrt{13}n$
Lakshman Patel RJIT
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in
Quantitative Aptitude
Mar 31, 2022
by
Lakshman Patel RJIT
12.7k
points
677
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cat2003-2
quantitative-aptitude
mensuration
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0
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2
CAT 2003 | Question: 2-64
Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of $n$ turns (in other ... , not drawn to scale). The length of the string, in cms, is $\sqrt{2}n$ $\sqrt{12}n$ $n$ $\sqrt{13}n$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 31, 2022
by
Lakshman Patel RJIT
12.7k
points
357
views
cat2003-2
quantitative-aptitude
mensuration
1
vote
1
answer
3
CAT 2020 Set-1 | Question: 76
A solid right circular cone of height $27$ cm is cut into two pieces along a plane parallel to its base at a height of $18$ cm from the base. If the difference in volume of the two pieces is $225$ cc, the volume, in cc, of the original cone is $232$ $256$ $264$ $243$
soujanyareddy13
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in
Quantitative Aptitude
Sep 16, 2021
by
soujanyareddy13
2.7k
points
297
views
cat2020-set1
quantitative-aptitude
mensuration
1
vote
1
answer
4
CAT 2019 Set-2 | Question: 92
A man makes complete use of $405$ cc of iron, $783$ cc of aluminium, and $351$ cc of copper to make a number of solid right circular cylinders of each type of metal. These cylinders have the same volume and each of these has radius $3$ cm. If the total number ... the total surface area of all these cylinders, in sq cm, is $8464\pi$ $928\pi$ $1044(4+\pi)$ $1026(1+\pi)$
go_editor
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in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
382
views
cat2019-2
quantitative-aptitude
mensuration
2
votes
1
answer
5
CAT 2019 Set-2 | Question: 94
The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, length of each side being $20$ cm. The vertical height of the pyramid, in cm, is $8\sqrt{3}$ $12$ $5\sqrt{5}$ $10\sqrt{2}$
go_editor
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in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
255
views
cat2019-2
quantitative-aptitude
mensuration
2
votes
1
answer
6
CAT 2018 Set-1 | Question: 81
A right circular cone, of height $12$ ft, stands on its base which has diameter $8$ ft. The tip of the cone is cut off with a plane which is parallel to the base and $9$ ft from the base. With $\pi = 22/7$, the volume, in cubic ft, of the remaining part of the cone is ________
go_editor
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in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
297
views
cat2018-1
quantitative-aptitude
mensuration
numerical-answer
1
vote
1
answer
7
CAT 2017 Set-1 | Question: 84
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio $1: 1:8: 27: 27$. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the original cube is nearest to $10$ $50$ $60$ $20$
go_editor
asked
in
Quantitative Aptitude
Mar 13, 2020
by
go_editor
13.4k
points
198
views
cat2017-1
quantitative-aptitude
mensuration
1
vote
1
answer
8
CAT 2017 Set-1 | Question: 85
A ball of diameter $4$ cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is $3$ cm, while its volume is $9\pi \;\text{cm}^{3}$. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is $5$ $4$ $3$ $6$
go_editor
asked
in
Quantitative Aptitude
Mar 13, 2020
by
go_editor
13.4k
points
231
views
cat2017-1
quantitative-aptitude
mensuration
0
votes
0
answers
9
CAT 2016 | Question: 68
A cube of side $12\; \text{cm}$ is painted red on all the faces and then cut into smaller cubes, each of side $3 \text{cm}$. What is the total number of smaller cubes having none of their faces painted _________
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
255
views
cat2016
quantitative-aptitude
mensuration
numerical-answer
0
votes
0
answers
10
CAT 2016 | Question: 72
A wooden box (open at the top) of thickness $0.5\:\text{cm}$, length $21\:\text{cm}$, width $11\:\text{cm}$ and height $6\:\text{cm}$ is painted on the inside. The expenses of painting are Rs. $70$. What is the rate of painting per square centimetres? $\text{Re}\;0.7$ $\text{Re}\;0.5$ $\text{Re}\;0.1$ $\text{Re}\;0.2$
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
275
views
cat2016
quantitative-aptitude
mensuration
0
votes
0
answers
11
CAT 2015 | Question: 74
A wooden box (open at the top) of thickness $0.5$ cm, length $21$ cm, width $11$ cm and height $6$ cm is painted on the inside. The expenses of painting are $\text{Rs. 70}$. What is the rate of painting per square centimeters? $\text{Re 0.7}$ $\text{Re 0.5}$ $\text{Re 0.1}$ $\text{Re 0.2}$
go_editor
asked
in
Quantitative Aptitude
Mar 9, 2020
by
go_editor
13.4k
points
163
views
cat2015
quantitative-aptitude
mensuration
2
votes
1
answer
12
CAT 2019 Set-1 | Question: 94
If the rectangular faces of a brick have their diagonals in the ratio $3:2\sqrt{3}:\sqrt{15}$, then the ratio of the length of the shortest edge of the brick to that of its longest edge is $\sqrt{3}:2$ $2:\sqrt{5}$ $1:\sqrt{3}$ $\sqrt{2}:\sqrt{3}$
go_editor
asked
in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
258
views
cat2019-1
quantitative-aptitude
mensuration
0
votes
1
answer
13
CAT 2013 | Question: 14
A cuboidal aquarium, of base dimensions $100\;\text{cm} \times 80\;\text{cm}$ and height $60\;\text{cm}$, is filled with water to its brim. The aquarium is now tilted along one of the $80\;\text{cm}$ edges and the water begin to spill. The ... . Now the box is returned to its original position. By how many centimeters has the height of water reduced? $50$ $40$ $20$ $10$
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
3.5k
points
535
views
cat2013
quantitative-aptitude
mensuration
0
votes
0
answers
14
CAT 2012 | Question: 24
A solid sphere of radius $12$ inches and cast into a right circular cone whose base diameter is $\sqrt{2}$times its slant height. If the radius of the sphere and the cone are the same, how many such cones can be made and how much material is left out? $4$ and $1$ cubic inch $3$ and $12$ cubic inches $4$ and $0$ cubic inch $3$ and $6$ cubic inches
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
330
views
cat2012
quantitative-aptitude
mensuration
0
votes
0
answers
15
CAT 2003 | Question: 2-63
Consider a cylinder of height h cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of n turns ( ... consecutive turns? $\frac{h}{n}$ $\frac{h}{\sqrt{n}}$ $\frac{h}{n^2}$ Cannot be determined with given information
go_editor
asked
in
Quantitative Aptitude
May 4, 2016
by
go_editor
13.4k
points
503
views
cat2003-2
quantitative-aptitude
mensuration
0
votes
0
answers
16
CAT 2000 | Question: 109
Two full tanks, one shaped like a cylinder and the other like a cone, contain jet fuel. The cylindrical tank holds $500$ litres more than the conical tank. After $200$ litres of fuel has been pumped out from each tank the cylindrical tank contains twice the ... conical tank. How many litres of fuel did the cylindrical tank have when it was full? $700$ $1000$ $1100$ $1200$
go_editor
asked
in
Quantitative Aptitude
Mar 30, 2016
by
go_editor
13.4k
points
383
views
cat2000
quantitative-aptitude
mensuration
0
votes
0
answers
17
CAT 2003 | Question: 1-138
There are $8436$ steel balls, each with a radius of $1$ centimeter, stacked in a pile, with $1$ ball on top, $3$ balls in second layer, $6$ in the third layer, $10$ in the fourth, and so on. The number of horizontal layers in the pile is $34$ $38$ $36$ $32$
go_editor
asked
in
Quantitative Aptitude
Feb 9, 2016
by
go_editor
13.4k
points
273
views
cat2003-1
quantitative-aptitude
mensuration
0
votes
1
answer
18
CAT 2003 | Question: 1-107
Let A and B two solid spheres such that the surface area of B is $300\%$ higher than the surface area of A. The volume of A is found to be $k\%$ lower than the volume of B. The value of $k$ must be ________ $85.5$ $92.5$ $90.5$ $87.5$
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
313
views
cat2003-1
quantitative-aptitude
mensuration
0
votes
0
answers
19
CAT 2014 | Question: 37
A lead cuboid of $8$ inches in length, $11$ inches in breadth, and $2$ inches thick was melted and resolidified into the form of a rod of $8$ inches diameter. The length of such a rod, in inches, is nearest to $3$ $3.5$ $4$ $4.5$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 17, 2016
by
makhdoom ghaya
7.9k
points
293
views
cat2014
quantitative-aptitude
mensuration
0
votes
0
answers
20
CAT 2014 | Question: 26
Three identical cones with base radius $r$ are placed on their bases so that each is touching the other two. The radius of the circle drawn through their vertices is smaller than $r$. equal to $r$. larger than $r$. depends on the height of the cones.
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 16, 2016
by
makhdoom ghaya
7.9k
points
399
views
cat2014
quantitative-aptitude
mensuration
0
votes
2
answers
21
CAT 2004 | Question: 72
If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be equal to the sides of the cube $\sqrt{3}$ times the sides of the cube $\frac{1} {\sqrt{3} }$ times the sides of the cube impossible to find from the given information
go_editor
asked
in
Quantitative Aptitude
Jan 14, 2016
by
go_editor
13.4k
points
1.1k
views
cat2004
quantitative-aptitude
mensuration
0
votes
1
answer
22
CAT 2006 | Question: 54
The length, breadth and height of a room are in the ration $3:2:1.$ If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will remain the same. decrease by $13.64\%$ decrease by $15\%$ decrease by $18.75\%$ decrease by $30\%$
go_editor
asked
in
Quantitative Aptitude
Dec 28, 2015
by
go_editor
13.4k
points
282
views
cat2006
quantitative-aptitude
mensuration
0
votes
0
answers
23
CAT 2008 | Question: 05
Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of the cone. Find the largest possible total surface area (in sq cm) of the cylinder. $\frac{100 \pi}{3}$ $\frac{80 \pi}{3}$ $\frac{120 \pi}{7}$ $\frac{130 \pi}{9}$ $\frac{110 \pi}{7}$
go_editor
asked
in
Quantitative Aptitude
Nov 28, 2015
by
go_editor
13.4k
points
471
views
cat2008
quantitative-aptitude
mensuration
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