# TCS Geometry Questions Quiz-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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why is it being multiplied by 1.32

what is this 1.32????

Area of path horizontal=20*192.5=3850 dm^2 Area of path vertical=20*125=2500 dm^2 Since center path is covered twice so total area=(3850+2500)-(20*20)=5950 dm^2 total cost=1.32*59.5 m^2=78.54 they just copied the answer from other side. but that question was different. here no one ask the cost. so a is correct.

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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 √41 cm respectively. Calculate the area of the rectangular field.

25 $cm^{2}$

25 $cm^{2}$

20 $cm^{2}$

20 $cm^{2}$

18 $cm^{2}$

18 $cm^{2}$

20 $cm^{2}$

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.

40 $cm^{2}$

40 $cm^{2}$

47 $cm^{2}$

47 $cm^{2}$

34 $cm^{2}$

34 $cm^{2}$

64 $cm^{2}$

64 $cm^{2}$

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Question 5

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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Which of the following graph indicates the graph of {(sin t, cos t):- ?/2?t?0} in xy-plane? correct question is this

When t = -90 then (sin t, cos t) = (-1,0) When t=0 then (sin t, cos t) = (0,1) Plot above two points in x-y plane. Answer: D: Which is figure B

sin -pie by 2 is 1 and cos pi by 2 is zero

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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?

950 $m^{2}$

950 $m^{2}$

912 $m^{2}$

912 $m^{2}$

925 $m^{2}$

925 $m^{2}$

952 $m^{2}$

952 $m^{2}$

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Question 7

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

4 cm

4 cm

7 cm

7 cm

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Ans: 6 cm Volume of a sphere = (4/3) * pi * r3 –(1) ( here r =3cm) Volume of circular plate of thickness 1 cm is = pi * r2 * h — (2) ( here h=1cm that is thickness ) Equating (1) and (2) r=6cm

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Question 8

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

12

12

13

13

14

14

15

15

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answer should be 14 not 17

14 is crct ans kle

14 is crct ans kle

The number of diagonals being 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 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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