# Accenture Geometry Quiz-1

Question 1

Time: 00:00:00
Determine the metal required to make a 21 m long pipe if its inner and outer diameter is 12 m and 10 m respectively

2843 m^3

2843 m^3

2647 m^3

2647 m^3

726 m^3

726 m^3

2534 m^3

2534 m^3

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Question 2

Time: 00:00:00
A polygon has 77 diagonals.Determine the number of sides?

15

15

12

12

14

14

17

17

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d=\\frac{n(n-3)}{2} where, n is the number of sides. 77=\\frac{n(n-3)}{2} 154=n(n-3) n^2-3n-154=0 n^2-3n-154=0 n^2-14n+11n-154=0 n(n-14)+11(n-14)=0 (n-14)(n+11)=0 n=-11,14 Reject n=-11 and Accept n=14 Therefore, The number so sides of the polygon is 14.

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Question 3

Time: 00:00:00
What is the radius of the circular plate of thickness 1cm made by melting a sphere of radius 3cm?

6 cm

6 cm

5 cm

5 cm

7 cm

7 cm

8 cm

8 cm

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Question 4

Time: 00:00:00
A square field of area 31684 m2 is to be enclosed with the wire placed at height 1 m, 2 m, 3 m, 4 m above the ground. What length of the wire will be required if its length required for each circuit is 5% greater than the perimeter of the field?

6456 m

6456 m

27666 m

27666 m

2990.4 m

2990.4 m

4666.5 m

4666.5 m

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Question 5

Time: 00:00:00
A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside. Find the area of the path?

952 m^2

952 m^2

912 m^2

912 m^2

925 m^2

925 m^2

950 m^2

950 m^2

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Question 6

Time: 00:00:00
Which of the following graph indicates the graph of
{(sin t, cos t):- π/2 ≤ t ≤ 0} in xy-plane ?


D

D

C

C

A

A

B

B

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Question 7

Time: 00:00:00
Find the area of Rhombus one of whose diagonals measures 8 cm and the other 10 cm.

40 cm^2

40 cm^2

34cm^2

34cm^2

42 cm^2

42 cm^2

64cm^27 cm

64cm^27 cm

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Question 8

Time: 00:00:00
If the perimeter and the diagonal of a rectangle is 18 cm and √41 cm respectively. Calculate the area of the rectangular field.

30 cm^2

30 cm^2

20 cm^2

20 cm^2

18 cm^2

18 cm^2

16 cm^2

16 cm^2

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Question 9

Time: 00:00:00
In triangle PQR, PQ=6 cm, PR=8 cm, and QR=12 cm. Calculate the area of the triangle PQR

23.33 cm^2

23.33 cm^2

17.5 cm2

17.5 cm2

21.33 cm^2

21.33 cm^2

28.67 cm^2

28.67 cm^2

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Question 10

Time: 00:00:00
An oblong piece of ground measures 19m 2.5 dm by 12m5dm. From center of each side of the ground, a path 2m wide goes across to the center of the opposite side. What is the area of the path?

59.5 m^2

59.5 m^2

54 m^2

54 m^2

18 cm^2

18 cm^2

78.65 m^2

78.65 m^2

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