Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Read the text carefully and answer the questions:

Mohan wants to donate a rectangular plot of land for a hospital in his village. When he was asked to give dimensions of the plot, he told that if its length (x) is decreased by 50 m and breadth (y) is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m2.

The area of rectangular field is:

Options:

30000 sq. m

3000 sq. m

300000 sq. m

60000 sq. m

Correct Answer:

30000 sq. m

Explanation:

x = 200, y = 150

⇒  area of rectangular plot

= xy

= 200 × 150

= 30000 sq units

Option: 1