Mathematics 2008 Question Papers

SECTION D

Questions number 26 to 30 carry 6 marks each.

Q. 26. In a class test, the sum of Gagan’s marks in Mathematics and English is 45. If he had 1 more mark in Mathematics and 1 less in English, the product of marks would have been 500. Find the original marks obtained by Gagan in Mathematics and English separately.

Sol. Let Gagan’s marks in Mathematics = x
and marks in English = 45 – x
According to the Problem

When x = 19
Gagan’s marks in Mathematics = 19
And marks in English = 45 – 19 = 26
When x = 24
Gagan’s marks in Mathematics = 24
And marks in English = 45 – 24 = 21

Q. 27. From a point 100 m above a lake, the angle of elevation of a stationary helicopter is 30° and the angle of depression of reflection of thehelicopter in the lake is 60°. Find the height of the helicopter.

Sol.

Mathematics 2008 Question Papers Class X
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