Recent questions tagged geometry

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1

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 feet $90 \pi$ square feet

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 54 views

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2

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

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 59 views

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3

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

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

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 32 views

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4

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 $10$ cm

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 87 views

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5

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 $30$ $m$^{2}$ 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 $30$ $m$^{2}$ of air to breath. What will be height of cone ? $37.5$ $m$ $150$ $m$ $75$ $m$ $15$ $m$

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 45 views

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6

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 $33.33$ cm $20.33$ cm $25$ cm

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 56 views

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7

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 : $\frac{2Ab}{\sqrt{4b^{4}+A^{2}}}$ $\frac{Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{2Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{Ab}{\sqrt{4b^{4}+A^{2}}}$

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 : $\frac{2Ab}{\sqrt{4b^{4}+A^{2}}}$ $\frac{Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{2Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{Ab}{\sqrt{4b^{4}+A^{2}}}$

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 41 views

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8

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 $A$. $60^\circ$ $45^\circ$ $30^\circ$ $90^\circ$

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 37 views

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9

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 $\frac{c^{2}}{ab}$sq. units

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 67 views

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10

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 : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$

asked Apr 3 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 31 views

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11

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 $\triangle XYZ$ is: $4:9$ $2:3$ $3:2$ $9:4$

asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 44 views

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12

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 $75$ m $15$ m

asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 44 views

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13

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_________. $1690$ $999$ $538$ $1000$

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 short of in completing the square. The actual number of bangles which he had with him the shop was_________. $1690$ $999$ $538$ $1000$

asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 40 views

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14

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) $60a$ $50a$ $40a$ $65a$

$A,B,C$ 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 from $B$, he takes $a-b+c$ ... from $A$ he takes $c+b-a$ hrs. The length of the triangle is: (assume the motion in anticlockwise direction) $60a$ $50a$ $40a$ $65a$

asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 38 views

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15

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

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

asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 51 views

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16

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: $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$

asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 45 views

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17

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? $26.5\%$ $24\%$ $30\%$ $45\%$

asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 44 views

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18

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

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

asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 124 views

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19

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 required? $34$ $40$ $68$ $88$

asked Mar 30 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 92 views

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20

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 ? $7$ $12$ $9$ $13$

asked Mar 30 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 457 views

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21

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

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

asked Mar 30 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 185 views

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22

NIELIT 2017 DEC Scientist B - Section A: 59
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure $9, 40$ and $41$? $6$ $4$ $24.5$ $20.5$

What is the measure of the radius of the circle that circumscribes a triangle whose sides measure $9, 40$ and $41$? $6$ $4$ $24.5$ $20.5$

asked Mar 30 in Quantitative Aptitude Lakshman Patel RJIT 8.8k points 264 views

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23

CAT 2010-5
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 fixed gates $A$ and $B$ on the boundary is $7$ meters. The distance of the pole from one of the gates is: $8$ metres $8.25$ metres $5$ metres None these

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 fixed gates $A$ and $B$ on the boundary is $7$ meters. The distance of the pole from one of the gates is: $8$ metres $8.25$ metres $5$ metres None these

asked Mar 1 in Quantitative Aptitude Arjun 8k points 56 views

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24

CAT 2010-6
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 the flaps. The value of $b$ for which the box has the greatest volume is $b= \frac{a}{5}$ $b= \frac{a}{4}$ $b= \frac{2a}{3}$ $b= \frac{a}{2}$

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 the flaps. The value of $b$ for which the box has the greatest volume is $b= \frac{a}{5}$ $b= \frac{a}{4}$ $b= \frac{2a}{3}$ $b= \frac{a}{2}$

asked Mar 1 in Quantitative Aptitude Arjun 8k points 64 views

1 vote

1 answer

25

CAT 2010-7
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 $4$ $2$ $3$ None of these

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 $4$ $2$ $3$ None of these

asked Mar 1 in Quantitative Aptitude Arjun 8k points 90 views

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26

CAT 2010-11
$ABCD$ is a rectangle. The points $P$ and $Q$ lie on $AD$ and $AB$ respectively. If the triangle $PAQ, QBC$ and $PCD$ all have the same areas and $BQ = 2$, then $AQ =$ $1+\sqrt{5}$ $1-\sqrt{5}$ $\sqrt{7}$ $2\sqrt{7}$

$ABCD$ is a rectangle. The points $P$ and $Q$ lie on $AD$ and $AB$ respectively. If the triangle $PAQ, QBC$ and $PCD$ all have the same areas and $BQ = 2$, then $AQ =$ $1+\sqrt{5}$ $1-\sqrt{5}$ $\sqrt{7}$ $2\sqrt{7}$

asked Mar 1 in Quantitative Aptitude Arjun 8k points 54 views

1 vote

1 answer

27

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 min) in which the car reach the base of the tower ?

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 min) in which the car reach the base of the tower ?

asked Dec 16, 2018 in Quantitative Aptitude junaid ahmad 36 points 253 views

2 votes

1 answer

28

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?

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?

asked Oct 28, 2017 in Quantitative Aptitude gabbar 76 points 196 views

2 votes

1 answer

29

CAT1994-59
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 resulting cone and frustum are in the ratio: 1 : 3 8 : 19 1 : 4 1 : 7

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 resulting cone and frustum are in the ratio: 1 : 3 8 : 19 1 : 4 1 : 7

asked Oct 12, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 223 views

3 votes

1 answer

30

CAT1994-56
Choose the best alternative A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal their diameters. Then their volumes are proportional, respectively to: 1:3:1 2:1:3 3:2:1 1:2:3

Choose the best alternative A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal their diameters. Then their volumes are proportional, respectively to: 1:3:1 2:1:3 3:2:1 1:2:3

asked Oct 12, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 254 views

1 vote

1 answer

31

CAT1995-100
What is the area of the triangle? I. Two sides are 41 cm each II. The altitude to the third side is 9 cm long. if the questions can be answered with the help of both the statements but not with the help of either statement itself. if the question can ... question can be answered with the help $0$ statement $II$ alone if the question can be answered with the help of statement $I$ alone

What is the area of the triangle? I. Two sides are 41 cm each II. The altitude to the third side is 9 cm long. if the questions can be answered with the help of both the statements but not with the help of either statement itself. if the question can not be ... the question can be answered with the help $0$ statement $II$ alone if the question can be answered with the help of statement $I$ alone

asked Aug 31, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 259 views

2 votes

1 answer

32

CAT1995-96
What is the length of the rectangle ABCD? I. Area of the rectangle is 48 square units II. Length of the diagonal is 10 units If the questions can be answered with the help of both the statements but not with the help of either statement itself. If the question ... can be answered with the help $0$ statement $II$ alone If the question can be answered with the help of statement $I$ alone

What is the length of the rectangle ABCD? I. Area of the rectangle is 48 square units II. Length of the diagonal is 10 units If the questions can be answered with the help of both the statements but not with the help of either statement itself. If the question can ... can be answered with the help $0$ statement $II$ alone If the question can be answered with the help of statement $I$ alone

asked Aug 31, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 175 views

1 vote

1 answer

33

CAT1995-84
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 kept $9$ m away from the wall, the upper end of the ladder coincides with the top of the wall. Then, the height of the wall is: $12$m $15$m $18$m $11$m

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 kept $9$ m away from the wall, the upper end of the ladder coincides with the top of the wall. Then, the height of the wall is: $12$m $15$m $18$m $11$m

asked Aug 30, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 201 views

3 votes

1 answer

34

CAT1995-83
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 $\angle ACD$?

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 $\angle ACD$?

asked Aug 30, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 735 views

3 votes

1 answer

35

CAT1995-81
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 $\angle CED$? $30^{\circ}$ $60^{\circ}$ $45^{\circ}$ $65^{\circ}$

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 $\angle CED$? $30^{\circ}$ $60^{\circ}$ $45^{\circ}$ $65^{\circ}$

asked Aug 30, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 382 views

3 votes

1 answer

36

CAT1995-75
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.

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.

asked Aug 30, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 915 views

–1 vote

1 answer

37

CAT1996-109
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 of painting in rupees per sq. cm? $0.7$ $0.5$ $0.1$ $0.2$

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 of painting in rupees per sq. cm? $0.7$ $0.5$ $0.1$ $0.2$

asked Jul 16, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 215 views

0 votes

1 answer

38

CAT1999-160
The question is followed by two statements I and II. Mark if the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone. if the question can be answered by using either statement alone. if the ... the angles between each tangent and the X-axis. The coordinates of D are given. The X-axis bisects one of the tangents.

The question is followed by two statements I and II. Mark if the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone. if the question can be answered by using either statement alone. if the question can ... are the angles between each tangent and the X-axis. The coordinates of D are given. The X-axis bisects one of the tangents.

asked May 16, 2016 in Logical Reasoning jothee 11.4k points 159 views

1 vote

1 answer

39

CAT2008-18
Consider a square ABCD with midpoints E, F, G, H of AB, BC, CD and DA respectively. Let L denote the line passing through F and H. Consider points P and Q, on L and inside ABCD, such that the angles APD and BQC both equal 120$^o$. What is the ratio of the area of ABQCDP to the remaining area inside ... $2 + \sqrt{3}$ $\frac{10-3 \sqrt{3} } {9} $ $1+ \frac{1}{\sqrt{3} }$ $2 \sqrt{3} -1$

Consider a square ABCD with midpoints E, F, G, H of AB, BC, CD and DA respectively. Let L denote the line passing through F and H. Consider points P and Q, on L and inside ABCD, such that the angles APD and BQC both equal 120$^o$. What is the ratio of the area of ABQCDP to the remaining area inside ABCD? ... $2 + \sqrt{3}$ $\frac{10-3 \sqrt{3} } {9} $ $1+ \frac{1}{\sqrt{3} }$ $2 \sqrt{3} -1$

asked Nov 28, 2015 in Quantitative Aptitude jothee 11.4k points 943 views

2 votes

1 answer

40

In the given figure, ∠BAC = 120° and AD is the bisector of ∠BAC.

In the given figure, $∠BAC = 120º$ and $AD$ is the bisector of $∠BAC$. If $\frac{(AD)(AB)}{BD} = \frac{AE}{EC}( AE + EC )$ and $∠EDC = ∠ECD$, what is the ratio of $∠B$ and $∠C$? 1 : 1 1 : 2 2 : 3 5 : 6

asked Aug 25, 2015 in Quantitative Aptitude makhdoom ghaya 7.8k points 303 views

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