SarkariPYQ

SSC CHSL 2021 PYQ — Question 59

SSC CHSL - 13 April 2021 - Shift 2 • Quantitative Aptitude • Q59

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Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the
alternatives given. Select the most appropriate option for each blank.
Graduation Day was at hand. Primary school graduation (1) ______ in those days followed a
prescribed order-conventional, courteous and (2) ______. First the school principal made a
long speech (3) ______ encouragement and blessing for the future of the graduates. (4) ______
one of the representatives of the graduating class (5) ______ with a vote of thanks.

ABCD is a cyclic quadrilateral with AB as the diameter of the circle. If ∠ADC = 118º, then the measure (in degrees) of ∠BAC is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 28

In the cyclic quadrilateral, the sum of each pair of opposite angles is 180 degrees.

⇒ ∠ADC + ∠ABC = 180°

⇒ 118° + ∠ABC = 180°

⇒ ∠ABC = 62°

∠ACB = 90°  ----(The angle formed by the diameter of the circle at the circumference of the circle will always be 90°)

In ΔABC,

∠BAC + ∠ACB + ∠ABC = 180°

⇒ ∠BAC + 90° + 62° = 180°

⇒ ∠BAC = 28°