question_answer

Which of the following statements is true?

Statement 1: A saree 5.5 m long and 1.25 m wide has a zari border 2.5 cm broad along its length on either side. Along the width, on one edge the border was 5 cm wide and on the other side the zari was 25 cm wide. The area of the zari is\[5855\text{ }c{{m}^{2}}\].

Statement 2: The moon is about 384000 km from earth and its path around the earth is nearly circular. The length of path described by moon in one complete I revolution will be 2,411,520 km. \[(\pi =3.14)\]

A)  Only Statement-1                  

B)  Only Statement-2                 

C)  Both Statement-1 and Statement-2

D)  Neither Statement-1 nor Statement-2

Correct Answer: B

Solution :

        Statement-1: Length of saree \[=5.5\text{ }m=5.5\times 100=550\text{ }cm\] Width of saree \[=1.25\text{ }m=1.25\times 100=125\text{ }cm\] Shaded region shows zari border. Area of zari along the length of saree \[=2\times 2.5\times 550=2750\text{ }c{{m}^{2}}\] Area of zari along the width of saree \[=120\times 5+120\times 25\] \[=600+3000=3600\text{ }c{{m}^{2}}\] Hence, total area covered with zari \[=2750+3600=6350\text{ }c{{m}^{2}}\] Statement-2: Distance of moon from earth = 384000 km Length of path is equal to the circumference of the circular path.                            So, \[2\pi r=2\times 3.14\times 84000\text{ }km=2.411,520\text{ }km\] Hence, the length of path described by moon in one complete revolution is 2,411,520 km.