Case Based MCQ Quiz

Question 1 of 10

A horse is

A horse is tied to a peg at one corner of a square shaped grass field of sides 15 m by means of a 5 m long rope (see the given figure).

What is the area of the grass field?

A \(225 \mathrm{~m}^2\) B 225 m C \(255 \mathrm{~m}^2\) D 15 m

Select one option. Answers are shown after the test.

Question 2 of 10

A horse is

A horse is tied to a peg at one corner of a square shaped grass field of sides 15 m by means of a 5 m long rope (see the given figure).

The area of that part of the field in which the horse can graze.

A \(19.625 \mathrm{~m}^2\) B \(19.265 \mathrm{~m}^2\) C \(19 \mathrm{~m}^2\) D \(78.5 \mathrm{~m}^2\)

Select one option. Answers are shown after the test.

Question 3 of 10

A horse is

A horse is tied to a peg at one corner of a square shaped grass field of sides 15 m by means of a 5 m long rope (see the given figure).

The grazing area if the rope were 10 m long instead of 5 m .

A \(7.85 \mathrm{~m}^2\) B \(785 \mathrm{~m}^2\) C \(225 \mathrm{~m}^2\) D \(78.5 \mathrm{~m}^2\)

Select one option. Answers are shown after the test.

Question 4 of 10

A horse is

A horse is tied to a peg at one corner of a square shaped grass field of sides 15 m by means of a 5 m long rope (see the given figure).

The increase in the grazing area if the rope were 10 m long instead of 5 m .

A \(58.758 \mathrm{~m}^2\) B \(58.875 \mathrm{~m}^2\) C \(58 \mathrm{~m}^2\) D \(78.5 \mathrm{~m}^2\)

Select one option. Answers are shown after the test.

Question 5 of 10

A horse is

A horse is tied to a peg at one corner of a square shaped grass field of sides 15 m by means of a 5 m long rope (see the given figure).

The given problem is based on which concept?

A Coordinate geometry B Area related to circles C Circle D None of these

Select one option. Answers are shown after the test.

Question 6 of 10

Pookalam is the

Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam, your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below.
Observe these carefully
Design I: This design is made with a circle of radius 32 cm leaving equilateral triangle ABC in the middle as shown in the given figure.
Design II: This Pookalam is made with 9 circular design each of radius 7 cm.

The side of equilateral triangle is

A \(12 \sqrt{3} \mathrm{~cm}\) B \(32 \sqrt{3} \mathrm{~cm}\) C 48 cm D 64 cm

Select one option. Answers are shown after the test.

Question 7 of 10

Pookalam is the

Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam, your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below.
Observe these carefully
Design I: This design is made with a circle of radius 32 cm leaving equilateral triangle ABC in the middle as shown in the given figure.
Design II: This Pookalam is made with 9 circular design each of radius 7 cm.

The altitude of the equilateral triangle is

A 8 cm B 12 cm C 48 cm D 52 cm

Select one option. Answers are shown after the test.

Question 8 of 10

Pookalam is the

Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam, your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below.
Observe these carefully
Design I: This design is made with a circle of radius 32 cm leaving equilateral triangle ABC in the middle as shown in the given figure.
Design II: This Pookalam is made with 9 circular design each of radius 7 cm.

The area of square is

A \(1264 \mathrm{~cm}^2\) B \(1764 \mathrm{~cm}^2\) C \(1830 \mathrm{~cm}^2\) D \(1944 \mathrm{~cm}^2\)

Select one option. Answers are shown after the test.

Question 9 of 10

Pookalam is the

Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam, your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below.
Observe these carefully
Design I: This design is made with a circle of radius 32 cm leaving equilateral triangle ABC in the middle as shown in the given figure.
Design II: This Pookalam is made with 9 circular design each of radius 7 cm.

Area of each circular design is

A \(124 \mathrm{~cm}^2\) B \(132 \mathrm{~cm}^2\) C \(144 \mathrm{~cm}^2\) D \(154 \mathrm{~cm}^2\)

Select one option. Answers are shown after the test.

Question 10 of 10

Pookalam is the

Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam, your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below.
Observe these carefully
Design I: This design is made with a circle of radius 32 cm leaving equilateral triangle ABC in the middle as shown in the given figure.
Design II: This Pookalam is made with 9 circular design each of radius 7 cm.

Area of the remaining portion of the square \(A B C D\) is

A \(378 \mathrm{~cm}^2\) B \(260 \mathrm{~cm}^2\) C \(340 \mathrm{~cm}^2\) D \(278 \mathrm{~cm}^2\)

Select one option. Answers are shown after the test.

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