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SSC CPO 2020 PYQ — Question 144

SSC CPO - 24 Nov 2020 - Shift 2 • Quantitative Aptitude • Q144

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The value of Figure for question 144sin252°+2+sin238°4cos243°−5+4cos247°sin^252° +2+sin^238° \over4cos^243°-5+4cos^247°  is :

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Correct answer: D

Explanation

The correct answer is Option 4 i.e.-3.

sin252°+2+sin238°4cos243°−5+4cos247°sin^252° +2+sin^238° \over4cos^243°-5+4cos^247°

⇒ sin252°+2+cos2(90°−38°)4cos243°−5+4sin2(90°−47°)sin^252° +2+cos^2(90°-38°) \over4cos^243°-5+4sin^2(90°-47°)

⇒ sin252°+2+cos252°4cos243°−5+4sin243°sin^252° +2+cos^252°\over4cos^243°-5+4sin^243°

⇒ 1+24(cos243°+sin243°)−51 +2\over4(cos^243°+sin^243°)-5

⇒ 1+24−51 +2\over4-5 = -3