One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

A small square region inside a larger square is shaded. The diagonal of the larger square is three times the diagonal of the small square in length. What fraction of the area of the larger square is not shaded?

A

1/9

B

1/3

C

2/3

D

8/9

Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm

A

Quantity 2 > Quantity 3 > Quantity 1

B

Quantity 1 > Quantity 2 > Quantity 3

C

Quantity 3 > Quantity 1 > Quantity 2

D

Quantity 1 = Quantity 2 < Quantity 3

E

Quantity 1 > Quantity 2 = Quantity 3

One diagonal of a rhombus is 25% more than the other diagonal. The area of the rhombus is 40 cm2. A circle is drew starting from one of the vertices of the rhombus in such a way that the rhombus is completely inside the circle. What is the area of such a circle?

A

16π cm²

B

25π cm2

C

36π cm2

D

64π cm2

The area of the square is 125/64th of the area of the rhombus. One of the diagonals of rhombus is 9 cm less than the side of square whose diagonal is 25√2 cm then find the other diagonal of the rhombus (in cm)?

A

20

B

15

C

16

D

25

E

18

There is a rhombus of side 6 cm. One of the diagonal of the rhombus is equal to the side of the rhombus. An isosceles triangle is formed whose two equal sides are equal to another diagonal of the rhombus and the third side is equal to 8 cm. Find the area of the triangle.

A

4√23 cm²

B

6√19 cm²

C

4√19 cm²

D

8√23 cm²

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer. What is the area of a rhombus? I. Length of one diagonal of the Rhombus is 50 cm. II. Length of another diagonal of the Rhombus is 30 cm.

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

D

If the data in both statements I and II together are necessary to answer the question.

E

If the data given in both statements I and II together is not sufficient to answer the question.

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the area of a rhombus? I. Length of one diagonal of the Rhombus is 50 cm. II. Length of another diagonal of the Rhombus is 30 cm.

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

D

If the data in both statements I and II together are necessary to answer the question.

E

If the data given in both statements I and II together is not sufficient to answer the question.

If one diagonal of the rhombus is of length 16 cm, and side of rhombus is 2 cm less than the other diagonal (in whole number), then find the area of the rhombus.

A

64 cm²

B

96 cm²

C

48 cm²

D

192 cm²

A rhombus has one of its diagonal 65% of the other. A square is drawn using the longer diagonal as side. What will be the ratio of the area of the rhombus to that of the square?

A

15 ∶ 18

B

40 ∶ 13

C

13 ∶ 40

D

18 ∶ 15

The diagonal of a rhombus is 25% less than the other diagonal. The area of the rhombus is 24 cm2. What is the length of the side of the rhombus?

A

3

B

4

C

5

D

6

One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

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