Recent questions tagged geometry - Aptitude Overflow

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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

asked Apr 1 in Quantitative Aptitude by Lakshman Patel RJIT (5.5k points) | 43 views

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2

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

asked Mar 30 in Quantitative Aptitude by Lakshman Patel RJIT (5.5k points) | 26 views

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2 answers

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

asked Mar 30 in Quantitative Aptitude by Lakshman Patel RJIT (5.5k points) | 210 views

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1 answer

4

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

asked Mar 30 in Quantitative Aptitude by Lakshman Patel RJIT (5.5k points) | 74 views

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1 answer

5

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 $41$? $6$ $4$ $24.5$ $20.5$

asked Mar 30 in Quantitative Aptitude by Lakshman Patel RJIT (5.5k points) | 65 views

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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

asked Mar 1 in Quantitative Aptitude by Arjun (8k points) | 40 views

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7

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 $b= \frac{a}{5}$ $b= \frac{a}{4}$ $b= \frac{2a}{3}$ $b= \frac{a}{2}$

asked Mar 1 in Quantitative Aptitude by Arjun (8k points) | 43 views

+1 vote

1 answer

8

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

asked Mar 1 in Quantitative Aptitude by Arjun (8k points) | 65 views

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9

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 $AQ =$ $1+\sqrt{5}$ $1-\sqrt{5}$ $\sqrt{7}$ $2\sqrt{7}$

asked Mar 1 in Quantitative Aptitude by Arjun (8k points) | 30 views

+1 vote

1 answer

10

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 ?

asked Dec 16, 2018 in Quantitative Aptitude by junaid ahmad (36 points) | 219 views

+2 votes

1 answer

11

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?

asked Oct 28, 2017 in Quantitative Aptitude by gabbar (76 points) | 167 views

+2 votes

1 answer

12

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

asked Oct 12, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 194 views

+3 votes

1 answer

13

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

asked Oct 12, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 223 views

+1 vote

1 answer

14

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

asked Aug 31, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 251 views

+2 votes

1 answer

15

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

asked Aug 31, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 156 views

+1 vote

1 answer

16

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

asked Aug 30, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 170 views

+3 votes

1 answer

17

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 $\angle ACD$?

asked Aug 30, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 624 views

+3 votes

1 answer

18

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

asked Aug 30, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 332 views

+3 votes

1 answer

19

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.

asked Aug 30, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 877 views

–1 vote

1 answer

20

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? $0.7$ $0.5$ $0.1$ $0.2$

asked Jul 16, 2017 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 195 views

0 votes

1 answer

21

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.

asked May 16, 2016 in Logical Reasoning by jothee (11.4k points) | 135 views

+1 vote

1 answer

22

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} $ $1+ \frac{1}{\sqrt{3} }$ $2 \sqrt{3} -1$

asked Nov 28, 2015 in Quantitative Aptitude by jothee (11.4k points) | 781 views

+2 votes

1 answer

23

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

asked Aug 25, 2015 in Quantitative Aptitude by makhdoom ghaya (7.8k points) | 272 views

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