There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the triangle ABC is 9√3/π then what would be the area of the outer circle

1. 9/4

2. 9/ π

3. 12

4. None of these

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Correct Answer :

Explanation :
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Four horses are tethered at four corners of a square plot of side 42 meters so that the adjacent horses can just reach one another. There is a small circular pond of area 20 m2 at the center. Find the ungrazed area.

1. 378 m2

2. 388 m2

3. 358 m2

4. 368 m2

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Correct Answer :

358 m2

Explanation :
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A square, whose side is 2 meters, has its corners cut away so as to form an octagon with all sides equal. Then length of each side of the octagon, in metres is:

1. √2/√2+1

2. 2/√2+1

3. 2/√2-1

4. √2/√2-1

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Correct Answer :

√2/√2+1

Explanation :
No Explanation available for this question

A rectangular pool 30 metres wide and 50 metres long is surrounded by a walkway of uniform width. If the area of the walkway is 516 square meters, how wide, in metres, is the walkway

1. 1

2. 2

3. 3

4. None of these

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Correct Answer :

Explanation :
No Explanation available for this question

A farmer has decided to build a wire fence along one straight side of his property. For this purpose he has planned to place several fence-posts at 12 m intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was 5 less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them 16 m apart. What is the length of the side of his property and how many posts did he buy

1. 200 m,15

2. 200 m,16

3. 240 m,15

4. 240 m,16

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Correct Answer :

240 m,16

Explanation :
No Explanation available for this question

The figure below shows two concentric circles with centre 0. PQRS is a square inscribed m the outer circle. It also circumscribes the inner circle, touching it at points B, C, D and A. What is the ratio of the perimeter of the polygon ABCD to that of the outer circle

1. 4/π

2. 2/3π

3. 2/π

4. 1/π

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Correct Answer :

2/π

Explanation :
No Explanation available for this question

Four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to area. Then, fund the area of the square that is covered by the coins.

1. 16π

2. 32π

3. 8π

4. Insufficient data

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Correct Answer :

16π

Explanation :
No Explanation available for this question

The sum of the areas of two circles which touch each other externally, is 153z. If the sum of their radii is 15, the ratio of the smaller to the larger radius is

1. 1 : 4

2. 1 : 2

3. 1 : 3

4. None of these

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Correct Answer :

1 : 4

Explanation :
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In ABC, points P. Q and Rare the mid-points of sides AB, BC and CA respectively. If area of ?ABC, is 40 sq units, find the area of? PQR.

1. 10 sq. units

2. 10√3 sq. units

3. 5 sq. units

4. None of these

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Correct Answer :

10 sq. units

Explanation :
No Explanation available for this question

A wooden box (open at the top) of thickness 0.5 cm, length 21 cm, width 11 cm and height 6 cm is painted on the inside. The expenses of painting are Rs. 140. What is the rate of painting per square centimeter

1. Rs. 1.4

2. Rs. 0.5

3. Rs. 1

4. Rs. 2

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Correct Answer :

Rs. 1

Explanation :
No Explanation available for this question

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