# Infosys Area, Shapes and Perimeter Questions and Answers Quiz – 1

Question 1

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

40

40

50

50

120

120

None of these

None of these

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Question 2

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

40

40

68

68

88

88

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Question 3

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:

Rs. 456

Rs. 456

Rs. 458

Rs. 458

Rs. 558

Rs. 558

Rs. 568

Rs. 568

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Area to be plastered = [2(l+b)×h]+(l×b) =[2(25+12)×6]+(25×12)=744sq.m Cost of plastering = 744×75100=Rs.558

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Question 4

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?

2.91 m

2.91 m

3 m

3 m

5.82 m

5.82 m

None of these

None of these

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Question 5

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?

180.24 m2

180.24 m2

190.24 m2

190.24 m2

190.44 m2

190.44 m2

190 m2

190 m2

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Question 6

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

400

400

355

355

353

353

455

455

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Question 7

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.

51.62 cm2

51.62 cm2

77.62 cm2

77.62 cm2

71.62 cm2

71.62 cm2

45.62 cm2

45.62 cm2

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Question 8

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 π

(i) less than 132 π

(ii) more than 132 π

(ii) more than 132 π

(iii) equal to 132 π

(iii) equal to 132 π

(iv) none

(iv) none

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Question 9

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?

A. 1,100

A. 1,100

B. 12,100

B. 12,100

C. 10,000

C. 10,000

D. 9,900

D. 9,900

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Question 10

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

1:2

1:2

2:1

2:1

1:3

1:3

3:1

3:1

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