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Recent questions tagged geometry

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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 $6 \sqrt{6}$ $2 \sqrt{6}$ $4 \sqrt{6}$ $\sqrt{6}$
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 \sqr...
1 votes
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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 $\sqrt{15}$ $\sqrt{13}$ $\sqrt{12}$ $\sqrt{14}$
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 ...
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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 $\frac{14 \pi}{3}$ $\frac{12 \pi}{5}$ $\frac{123 \pi}{7}$ $\frac{205 \pi}{9}$
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...
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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 $12$ $14$ $13$ $15$
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$...
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CAT 2020 Set-1 | Question: 54
On a rectangular metal sheet of area $135$ ... $4\sqrt{\pi }\left ( 3+\frac{9}{\pi} \right )$
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-thir...
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CAT 2020 Set-1 | Question: 71
A circle is inscribed in a rhombus 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}$
A circle is inscribed in a rhombus 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}$ $\f...
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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
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 fe...
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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
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
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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
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$ ...
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2 answers
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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$
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\...
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4 answers
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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
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...
2 votes
1 answer
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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 $A$. $60^\circ$ $45^\circ$ $30^\circ$ $90^\circ$
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$$90^\circ$
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NIELIT 2019 Feb Scientist D - Section D: 11
What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ? $\frac{3c^{2}}{ab}$sq. units $\frac{4c^{2}}{ab}$sq. units $\frac{2c^{2}}{ab}$sq. units $\frac{c^{2}}{ab}$sq. units
What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ?$\frac{3c^{2}}{ab}$sq. units$\frac{4c^{2}}{ab}$sq. units$\frac{2c^{2}}{ab}$sq. units$\...
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NIELIT 2019 Feb Scientist D - Section D: 20
If $\left (-4, 0 \right), \left(1, -1 \right)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
If $\left (-4, 0 \right), \left(1, -1 \right)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on :$y=x$$5x+y+12=0$$x+5y-4=0$$x-5y+4=...
1 votes
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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: $4:9$ $2:3$ $3:2$ $9:4$
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 $\triangle XYZ$...
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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
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$75$...
0 votes
2 answers
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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: $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
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$$x-5y+4=0$
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NIELIT 2019 Feb Scientist C - Section C: 11
For a sphere of radius $10$ cm, the numerical value of the surface area is how many percent of the numerical value of its volume? $26.5\%$ $24\%$ $30\%$ $45\%$
For a sphere of radius $10$ cm, the numerical value of the surface area is how many percent of the numerical value of its volume?$26.5\%$$24\%$$30\%$$45\%$
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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? $34$ $40$ $68$ $88$
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 requ...
0 votes
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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? $7$ $12$ $9$ $13$
If $10$, $12$ and '$x$' are sides of an acute angled triangle, how many integer values of '$x$' are possible?$7$$12$$9$$13$
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