Xavier Aptitude Test 2017 Paper

Question : 58 of 97

Marks: +1, -0

If 5° ≤ x° ≤ 15°, then the value of sin 30° + cosx° - sinx° will be:

Between -1 and - 0.5 inclusive
Between - 0.5 and 0 inclusive
between 0 and 0.5 exclusive
between 0.5 and 1 inclusive
None of the above

Solution:

(e) Let take x as 5°
So cos 5° would be very close to 1 and sin 5° would be very close to 0. So
difference is a higher value (<1) but close to it. When sin 30°

1/2

is added to this, the value crosses 1.
Hence none of the options match

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