# TCS Ninja Geometry Questions Part 1

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?

59.5 $m^{2}$

59.5 $m^{2}$

34 $m^{2}$

34 $m^{2}$

54 $m^{2}$

54 $m^{2}$

78.65 $m^{2}$

78.65 $m^{2}$

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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

23.33 $cm^{2}$

23.33 $cm^{2}$

17.5 $cm^{2}$

17.5 $cm^{2}$

21.33 $cm^{2}$

21.33 $cm^{2}$

28.67 $cm^{2}$

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 $\sqrt{41}$cm respectively. Calculate the area of the rectangular field.

25 $cm^{2}$

25 $cm^{2}$

20 $cm^{2}$

20 $cm^{2}$

29 $cm^{2}$

29 $cm^{2}$

18 $cm^{2}$

18 $cm^{2}$

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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.

40 $cm^{2}$

40 $cm^{2}$

47 $cm^{2}$

47 $cm^{2}$

64 $cm^{2}$

64 $cm^{2}$

34 $cm^{2}$

34 $cm^{2}$

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Question 5

Time: 00:00:00
What is Range of sin function?

0.5 to 1

0.5 to 1

1 to 2

1 to 2

0 to 1

0 to 1

-1 to 1

-1 to 1

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Question 6

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 7

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

6 cm

6 cm

4 cm

4 cm

4 cm

4 cm

7 cm

7 cm

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Question 8

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

15

15

15

15

14

14

17

17

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d=n(n-2)/3 d=diagonals n=number of sides

I apologize, it is d=n(n-3)/2

The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides.

by formula:- diagonal=n*(n-3)/2

d=n(n-3)/2, d=diagonal,n=no of sides

d=n(n-3)/2 d=77 n=14

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Question 9

Time: 00:00:00
A square field of area 31684 $m^{2}$ 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 10

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

2534 $m^{3}$

2534 $m^{3}$

2647 $m^{3}$

2647 $m^{3}$

726 $m^{3}$

726 $m^{3}$

2843 $m^{3}$

2843 $m^{3}$

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