# TCS Area, Shapes and Perimeter Quiz-1

Question 1

Time: 00:00:00
A rabbit is tied to one end of an equilateral triangle of side 5 m with a rope length of 8 m.The rabbit is not allowed to travel inside the triangle then find the maximum area covered by the rabbit?

(96/9)*pi

(96/9)*pi

190 m^2

190 m^2

(240/9)*pi

(240/9)*pi

(480/9)*pi

(480/9)*pi

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Question 2

Time: 00:00:00
No triangles formed in a polygon having 15 sides is?

400

400

355

355

353

353

455

455

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S

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Question 3

Time: 00:00:00
A GOLF BALL HAS DIAMETER EQUAL TO 4.1CM. ITS SURFACE HAS 150 DIMPLES EACH OF RADIUS 2MM (0.2 CM). CALCULATE TOTAL SURFACE AREA WHICH IS EXPOSED TO SURROUNDINGS ASSUMING THAT THE DIMPLES ARE HEMISPHERICAL.

74.62cm2

74.62cm2

73.62cm2

73.62cm2

72.62cm2

72.62cm2

71.62cm2

71.62cm2

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Question 4

Time: 00:00:00
If a goat is tied to a pole at Point A with a rope 12 m long such that it can not enter a triangle ABC with AB=AC=10 m and angle A = 30 deg. How much area can it graze?

(i) less than 132 pi

(i) less than 132 pi

(ii) more than 132 pi

(ii) more than 132 pi

(iii) equal to 132 pi

(iii) equal to 132 pi

(iv) none

(iv) none

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Question 5

Time: 00:00:00
The right angled triangle PQR is to be constructed in the xy-plane, so that the right angle is at P and PR is parallel to the x-axis. The x and y coordinates of P,Q and R are to be integers that satisfy the inequality −4≤x≤5 & 6≤y≤16. How many different triangles with these properties could be constructed?

9900.

9900.

4900.

4900.

6800.

6800.

8900.

8900.

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Question 6

Time: 00:00:00
If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST

7/8

7/8

5/3

5/3

2:3

2:3

4:9

4:9

1:2

1:2

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.mkmk

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Question 7

Time: 00:00:00
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

34

34

40

40

68

68

60

60

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Question 8

Time: 00:00:00
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

34

88

88

68

68

40

40

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Question 9

Time: 00:00:00
A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:

446

446

339

339

558

558

227

227

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Question 10

Time: 00:00:00
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

4

4

5

5

3

3

2

2

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Nice question - given that area of park=60*40=2400 area of lawn =2109 ? lets find area of road =2400-2109(why because whenver find raod area than park -lawn=road ) =291 lets main points here we lets width of road is x than : area of first road +area of second road -common road area 60*x+40*x-x*x=291 60x+40x-x2=291 solved to x=3 ans thats it!

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