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Mohan wants to donate a rectangular plot of land for a hospital in his village…

CUET Mathematics 2022 · Mathematics · 5 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 m\(^2\).

Question 1

The equations in terms of \(x\) and \(y\) are:

A. \(x - y = 50, 2x + y = 550\)
B. \(x + y = 40, 2x - y = 550\)
C. \(x - y = 10, 2x + y = 50\)
D. \(x - y = 30, 2x + y = 505\)

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Question 2

The value \(x\) is:

A. 150 m
B. 100 m
C. 200 m
D. 300 m

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Question 3

The value of \(y\) is

A. 50 m
B. 100 m
C. 240 m
D. 150 m

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Question 4

The value of the expression \(\frac{x^2 + y^2}{x - y}\) is:

A. 625
B. 1250
C. 312.5
D. 3125

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Question 5

The area of rectangular field is:

A. 30000 sq. m
B. 3000 sq. m
C. 300000 sq. m
D. 60000 sq. m

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