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Recent questions tagged geometry
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 4
In a triangle $\text{ABC}, \angle \text{BCA} = 50^{\circ}. \text{D}$ and $\text{E}$ are points on $\text{AB}$ and $\text{AC},$ respectively, such that $\text{AD = DE}.$ If $\text{F}$ is a point on $\text{BC}$ such that $\text{BD = DF},$ then $\angle \text{FDE, in degrees},$ is equal to $96$ $72$ $80$ $100$
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Quantitative Aptitude
Jan 20
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cat2021-set3
quantitative-aptitude
geometry
1
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1
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2
CAT 2021 Set-3 | Quantitative Aptitude | Question: 6
Let $\text{ABCD}$ be a parallelogram. The lengths of the side $\text{AD}$ and the diagonal $\text{AC}$ are $10 \; \text{cm}$ and $20 \; \text{cm},$ respectively. If the angle $\angle \text{ADC}$ is equal to $30^{\circ}$ then the area of the parallelogram ... $\frac{25 (\sqrt{3} + \sqrt{15})}{2}$ $25 (\sqrt{3} + \sqrt{15})$
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Quantitative Aptitude
Jan 20
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soujanyareddy13
2.7k
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131
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cat2021-set3
quantitative-aptitude
geometry
1
vote
1
answer
3
CAT 2021 Set-3 | Quantitative Aptitude | Question: 11
The cost of fencing a rectangular plot is $ ₹ \; 200 \; \text{per ft}$ along one side, and $ ₹ \; 100 \; \text{per ft}$ along the three other sides. If the area of the rectangular plot is $60000 \; \text{sq. ft},$ then the lowest possible cost of fencing all four sides, in $\text{INR},$ is $160000$ $100000$ $120000$ $90000$
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Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
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201
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cat2021-set3
quantitative-aptitude
geometry
1
vote
1
answer
4
CAT 2021 Set-3 | Quantitative Aptitude | Question: 16
A park is shaped like a rhombus and has area $96 \; \text{sq m}.$ If $40 \; \text{m}$ of fencing is needed to enclose the park, the cost, in $\text{INR},$ of laying electric wires along its two diagonals, at the rate of $ ₹ \; 125 \; \text{per m},$ is
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
318
views
cat2021-set3
quantitative-aptitude
geometry
numerical-answer
1
vote
1
answer
5
CAT 2021 Set-2 | Quantitative Aptitude | Question: 3
If a rhombus has area $12 \; \text{sq cm}$ and side length $5 \; \text{cm},$ then the length, $\text{in cm},$ of its longer diagonal is $\sqrt{13} + \sqrt{12}$ $\sqrt{37} + \sqrt{13}$ $\frac{\sqrt{37} + \sqrt{13}}{2}$ $\frac{\sqrt{13} + \sqrt{12}}{2}$
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
121
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cat2021-set2
quantitative-aptitude
geometry
1
vote
1
answer
6
CAT 2021 Set-2 | Quantitative Aptitude | Question: 8
The sides $\text{AB}$ and $\text{CD}$ of a trapezium $\text{ABCD}$ are parallel, with $\text{AB}$ being the smaller side. $\text{P}$ is the midpoint of $\text{CD}$ and $\text{ABPD}$ is a parallelogram. If the difference between the areas of the ... $\text{in sq cm},$ of the trapezium $\text{ABCD}$ is $25$ $30$ $40$ $20$
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
130
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cat2021-set2
quantitative-aptitude
geometry
1
vote
1
answer
7
CAT 2021 Set-2 | Quantitative Aptitude | Question: 14
Let $\text{D}$ and $\text{E}$ be points on sides $\text{AB}$ and $\text{AC},$ respectively, of a triangle $\text{ABC},$ such that $\text{AD}$ : $\text{BD} = 2 : 1$ and $\text{AE}$ : $\text{CE} = 2 : 3.$ If the area of the triangle $\text{ADE}$ is $8 \; \text{sq cm},$ then the area of the triangle $\text{ABC, in sq cm},$ is
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
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189
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cat2021-set2
quantitative-aptitude
geometry
numerical-answer
1
vote
1
answer
8
CAT 2021 Set-1 | Quantitative Aptitude | Question: 7
If the area of a regular hexagon is equal to the area of an equilateral triangle of side $12 \; \text{cm},$ then the length, in cm, of each side of the hexagon is $6 \sqrt{6}$ $2 \sqrt{6}$ $4 \sqrt{6}$ $\sqrt{6}$
soujanyareddy13
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in
Quantitative Aptitude
Jan 19
by
soujanyareddy13
2.7k
points
118
views
cat2021-set1
quantitative-aptitude
geometry
1
vote
1
answer
9
CAT 2021 Set-1 | Quantitative Aptitude | Question: 12
Suppose the length of each side of a regular hexagon $\text{ABCDEF}$ is $2 \; \text{cm}.$ It $\text{T}$ is the mid point of $\text{CD},$ then the length of $\text{AT, in cm},$ is $\sqrt{15}$ $\sqrt{13}$ $\sqrt{12}$ $\sqrt{14}$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 19
by
soujanyareddy13
2.7k
points
355
views
cat2021-set1
quantitative-aptitude
geometry
1
vote
1
answer
10
CAT 2021 Set-1 | Quantitative Aptitude | Question: 20
A circle of diameter $8 \; \text{inches}$ is inscribed in a triangle $\text{ABC}$ where $\angle \text{ABC} = 90^{\circ}.$ If $\text{BC} = 10 \; \text{inches}$ then the area of the triangle in $\text{square inches}$ is
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 19
by
soujanyareddy13
2.7k
points
120
views
cat2021-set1
quantitative-aptitude
geometry
numerical-answer
0
votes
0
answers
11
CAT 2020 Set-3 | Question: 65
The vertices of a triangle are $(0,0), (4,0)$ and $(3,9).$ The area of the circle passing through these three points is $\frac{14 \pi}{3}$ $\frac{12 \pi}{5}$ $\frac{123 \pi}{7}$ $\frac{205 \pi}{9}$
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
111
views
cat2020-set3
quantitative-aptitude
geometry
cartesian-coordinates
0
votes
0
answers
12
CAT 2020 Set-3 | Question: 68
The points $(2,1)$ and $( – 3, – 4)$ are opposite vertices of a parallelogram. If the other two vertices lie on the line $x + 9y + c = 0,$ then $\text{c}$ is $12$ $14$ $13$ $15$
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
74
views
cat2020-set3
quantitative-aptitude
geometry
cartesian-coordinates
0
votes
0
answers
13
CAT 2020 Set-3 | Question: 70
In a trapezium $\text{ABCD},\; \text{AB}$ is parallel to $\text{DC}, \; \text{BC}$ is perpendicular to $\text{DC}$ and $\angle \text{BAD} = 45^{\circ}.$ If $\text{DC} = 5 \; \text{cm}, \; \text{BC} = 4 \; \text{cm},$ the area of the trapezium in $\text{sq. cm}$ is
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
78
views
cat2020-set3
quantitative-aptitude
geometry
numerical-answer
2
votes
1
answer
14
CAT 2020 Set-2 | Question: 51
The sum of the perimeters of an equilateral triangle and a rectangle is $90 \; \text{cm}.$ The area, $\text{T},$ of the triangle and the area, $\text{R},$ of the rectangle, both in $\text{sq cm},$ satisfy the ... of the rectangle are in the ratio $1:3,$ then the length, in cm, of the longer side of the rectangle, is $24$ $27$ $21$ $18$
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
207
views
cat2020-set2
quantitative-aptitude
geometry
2
votes
1
answer
15
CAT 2020 Set-2 | Question: 70
Let $\text{C}$ be a circle of radius $5 \; \text{meters}$ having center at $\text{O}.$ Let $\text{PQ}$ be a chord of $\text{C}$ that passes through points $\text{A}$ and $\text{B}$ where $\text{A}$ is located $4 \; \text{meters}$ north of $\text{O}$ and ... $\text{O}.$ Then, the length of $\text{PQ}$, in meters, is nearest to $7.2$ $7.8$ $6.6$ $8.8$
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
188
views
cat2020-set2
quantitative-aptitude
geometry
2
votes
1
answer
16
CAT 2020 Set-2 | Question: 73
Let $\text{C}1$ and $\text{C}2$ be concentric circles such that the diameter of $\text{C}1$ is $2 \; \text{cm}$ longer than that of $\text{C}2.$ If a chord of $\text{C}1$ has length $6 \; \text{cm}$ and is a tangent to $\text{C}2,$ then the diameter, in $\text{cm},$ of $\text{C}1$ is
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
150
views
cat2020-set2
quantitative-aptitude
geometry
numerical-answer
1
vote
1
answer
17
CAT 2020 Set-2 | Question: 74
From an interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the three perpendiculars is $s.$ Then the area of the triangle is $\frac{\sqrt{3}s^{2}}{2}$ $\frac{s^{2}}{\sqrt{3}}$ $\frac{2s^{2}}{\sqrt{3}}$ $\frac{s^{2}}{2 \sqrt{3}}$
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
167
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cat2020-set2
quantitative-aptitude
geometry
1
vote
1
answer
18
CAT 2020 Set-1 | Question: 54
On a rectangular metal sheet of area $135$ sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two$-$ ... $4\sqrt{\pi }\left ( 3+\frac{9}{\pi} \right )$
soujanyareddy13
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in
Quantitative Aptitude
Sep 16, 2021
by
soujanyareddy13
2.7k
points
294
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cat2020-set1
quantitative-aptitude
geometry
1
vote
1
answer
19
CAT 2020 Set-1 | Question: 71
A circle is inscribed in a thombus with diagonals $12$ cm and $16$ cm. The ratio of the area of circle to the area of rhombus is $\frac{5\pi }{18}$ $\frac{6\pi }{25}$ $\frac{3\pi }{25}$ $\frac{2\pi }{15}$
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Quantitative Aptitude
Sep 16, 2021
by
soujanyareddy13
2.7k
points
101
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cat2020-set1
quantitative-aptitude
geometry
0
votes
1
answer
20
NIELIT 2016 MAR Scientist D: 63
A circular garden twenty feet in diameter is surrounded by a path three feet wide. What is the area of the path? $51 \pi$ square feet $60 \pi$ square feet $69 \pi$ square feet $90 \pi$ square feet
Lakshman Patel RJIT
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in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
306
views
nielit2016mar-scientistd
quantitative-aptitude
geometry
0
votes
1
answer
21
NIELIT 2016 MAR Scientist D: 64
What is the area of a semicircle with a diameter of $16$ inches? $32 \pi$ square inches $64 \pi$ square inches $128 \pi$ square inches $256 \pi$ square inches
Lakshman Patel RJIT
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in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
369
views
nielit2016mar-scientistd
quantitative-aptitude
geometry
0
votes
1
answer
22
NIELIT 2016 MAR Scientist D: 65
Which of the following figures has the largest perimeter $(1 \text{ foot} = 12 \text{ inches})$ a square with a diagonal of $5$ feet a rectangle with sides of $3$ feet and $4$ feet an equilateral triangle with a side equal to $48$ inches a regular hexagon whose longest diagonal is $6$ feet
Lakshman Patel RJIT
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in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
291
views
nielit2016mar-scientistd
quantitative-aptitude
geometry
0
votes
1
answer
23
NIELIT 2016 MAR Scientist D: 73
The perimeter of a parallelogram is $50$ cm. The length of the parallelogram is $5$ cm more than the width. Find the length of the parallelogram. $15$ cm $11$ cm $5$ cm $10$ cm
Lakshman Patel RJIT
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in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
329
views
nielit2016mar-scientistd
quantitative-aptitude
geometry
0
votes
1
answer
24
NIELIT 2019 Feb Scientist D - Section D: 2
A conical tent is to accommodate $10$ persons. Each person must have $6$ $m$^{2}$ space to sit and $30\;m^{3}$ of air to breath. What will be height of cone ? $37.5$ $m$ $150$ $m$ $75$ $m$ $15$ $m$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
285
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nielit2019feb-scientistd
quantitative-aptitude
geometry
0
votes
4
answers
25
NIELIT 2019 Feb Scientist D - Section D: 1
In a swimming-pool $90$ m by $40$ m, $150$ men take a dip. If the average displacement of water by a man is $8$ cubic metres, what will be rise in water level ? $30$ cm $33.33$ cm $20.33$ cm $25$ cm
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
350
views
nielit2019feb-scientistd
quantitative-aptitude
geometry
0
votes
1
answer
26
NIELIT 2019 Feb Scientist D - Section D: 8
If $A$ be the area of a right angled triangle and $b$ be one of the sides containing the right angle, then the length of altitude on the hypotenuse is : $\frac{2Ab}{\sqrt{4b^{4}+A^{2}}}$ $\frac{Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{2Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{Ab}{\sqrt{4b^{4}+A^{2}}}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
247
views
nielit2019feb-scientistd
quantitative-aptitude
geometry
2
votes
1
answer
27
NIELIT 2019 Feb Scientist D - Section D: 10
In an acute angled triangle $ABC$, if $\tan \left(A+B-C \right)=1$ and $\sec \left(B+C-A \right)=2$, Find angle $A$. $60^\circ$ $45^\circ$ $30^\circ$ $90^\circ$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
257
views
nielit2019feb-scientistd
quantitative-aptitude
geometry
0
votes
1
answer
28
NIELIT 2019 Feb Scientist D - Section D: 11
What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ? $\frac{3c^{2}}{ab}$sq. units $\frac{4c^{2}}{ab}$sq. units $\frac{2c^{2}}{ab}$sq. units $\frac{c^{2}}{ab}$sq. units
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
351
views
nielit2019feb-scientistd
quantitative-aptitude
geometry
0
votes
1
answer
29
NIELIT 2019 Feb Scientist D - Section D: 20
If $\left (-4, 0 \right), \left(1, -1 \right)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
235
views
nielit2019feb-scientistd
quantitative-aptitude
geometry
1
vote
1
answer
30
NIELIT 2019 Feb Scientist C - Section D: 6
In a triangle $XYZ$, $P$ and $Q$ are points on ${XY,XZ}$ respectively such that $XP=2PY$, $XQ=2QZ$, then the ratio, of area of $\triangle XPQ$ and area of $\triangle XYZ$ is: $4:9$ $2:3$ $3:2$ $9:4$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
275
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
1
answer
31
NIELIT 2019 Feb Scientist C - Section D: 12
A conical tent is to accommodate $10$ persons. Each person must have $6m^{2}$ space to sit and $30m^{3}$ of air to breath. What will be height of cone? $37.5$ m $150$ m $75$ m $15$ m
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
231
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
1
answer
32
NIELIT 2019 Feb Scientist C - Section D: 27
In a bangle shop. If the shopkeeper displays the bangles in the form of a square then he is left with $38$ bangles. If he wanted to increase the size of square by one bangle each side of the square he found that $25$ bangles fall ... completing the square. The actual number of bangles which he had with him the shop was_________. $1690$ $999$ $538$ $1000$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
201
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
0
answers
33
NIELIT 2019 Feb Scientist C - Section D: 26
$A,B,C$ are three towns forming a triangle. A man has to walk from one town to next town, then ride to the next town then again drive towards his starting point. He can walk,ride,drive a km in $a,b,c$ minutes respectively. If he starts ... $c+b-a$ hrs. The length of the triangle is: (assume the motion in anticlockwise direction) $60a$ $50a$ $40a$ $65a$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
227
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
1
answer
34
NIELIT 2019 Feb Scientist C - Section D: 24
A cylindrical box of radius $5$ cm contains $10$ solid spherical balls each of radius $5$ cm. If the topmost ball touches the upper cover of the box, then the volume of the empty space in the box is: $\dfrac{2500\pi}{3}$ cubic cm $500\pi$ cubic cm $2500\pi$ cubic cm $\dfrac{5000\pi}{3}$ cubic cm
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
262
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
1
answer
35
NIELIT 2019 Feb Scientist C - Section D: 29
If $(-4,0),(1,-1)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on: $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
187
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
1
answer
36
NIELIT 2019 Feb Scientist C - Section C: 11
For a sphere of radius $10$ cm, the numerical value of the surface area is how many percent of the numerical value of its volume? $26.5\%$ $24\%$ $30\%$ $45\%$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
179
views
nielit2019feb-scientistc
geometry
0
votes
1
answer
37
NIELIT 2017 OCT Scientific Assistant A - Section A: 5
Line $AB$ is $24$ metres in length and is tangent to the inner one of the two concentric circles at point $C.$ Points $A$ and $B$ lie on the circumference of the outer circle. It is known that the radii of the two circles are integers. The radius of the outer circle is $13$ m $5$ m $7$ m $4$ m
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
573
views
nielit2017oct-assistanta
quantitative-aptitude
geometry
circles
0
votes
1
answer
38
NIELIT 2017 July Scientist B - Section A: 7
A rectangular field is to be fenced on three sides leaving a side of $20$ feet uncovered. If the area of the field is $680$ sq feet, how many feet of fencing will be required? $34$ $40$ $68$ $88$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 30, 2020
by
Lakshman Patel RJIT
12.0k
points
313
views
nielit2017july-scientistb
geometry
0
votes
2
answers
39
NIELIT 2017 DEC Scientist B - Section A: 47
If $10$, $12$ and '$x$' are sides of an acute angled triangle, how many integer values of '$x$' are possible ? $7$ $12$ $9$ $13$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 30, 2020
by
Lakshman Patel RJIT
12.0k
points
1.1k
views
nielit2017dec-scientistb
geometry
triangle
0
votes
1
answer
40
NIELIT 2017 DEC Scientist B - Section A: 53
The length of a rope, to which a cow is tied, is increased from $19$ m to $30$ m. How much additional ground will it be able to graze ? Assume that the cow is able to move on all sides with equal ease. Use $\pi = \frac{22}{7}$ in your calculations. $1696$ sq m $1694$ sq m $1594$ sq m $1756$ sq m
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 30, 2020
by
Lakshman Patel RJIT
12.0k
points
397
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nielit2017dec-scientistb
geometry
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