# NCR Corporation Geometry Problems with Solutions

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Question 1

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?

A)59.5 m^2

A)59.5 m^2

B)54 m^2

B)54 m^2

C)78.4 m^2

C)78.4 m^2

D)34 m^2

D)34 m^2

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Question 2

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

A)23.33 cm^2

A)23.33 cm^2

B)17.5 cm2

B)17.5 cm2

C)21.33 cm^2

C)21.33 cm^2

D)28.67 cm^2

D)28.67 cm^2

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Question 3

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.

A)25 cm^2

A)25 cm^2

B)29 cm^2

B)29 cm^2

C)18 cm^2

C)18 cm^2

D)20 cm^2

D)20 cm^2

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Question 4

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

A)47 cm^2

A)47 cm^2

B)34cm^2

B)34cm^2

C)40 cm^2

C)40 cm^2

D)64cm^2

D)64cm^2

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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?

A)952 m^2

A)952 m^2

B)925 m^2

B)925 m^2

C)912 m^2

C)912 m^2

D)950 m^2

D)950 m^2

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Question 6

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

A)6 cm

A)6 cm

B)5 cm

B)5 cm

C)4 cm

C)4 cm

D)7 cm

D)7 cm

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Question 7

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

A)15

A)15

B)12

B)12

C)17

C)17

D)14

D)14

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Question 8

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?

A)6456 m

A)6456 m

B)27666 m

B)27666 m

C)2990.4 m

C)2990.4 m

D)4666.5 m

D)4666.5 m

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Question 9

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

A) 2904 m^3

A) 2904 m^3

B)2534 m^3

B)2534 m^3

C)2843 m^3

C)2843 m^3

D)2647 m^3

D)2647 m^3

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