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SSC CGL 2021 PYQ — Question 65

SSC CGL - 24 Aug 2021 - Shift 3 • Quantitative Aptitude • Q65

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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.
John was an artist (1)______ profession. He was very (2)______ at his work and could
(3)______ any subject he could think of, but circumstances forced him to (4)______ in
(5)______ the work of renowned artists.

Triangles ABC is right angled at B and D is a point of BC such that BD = 5 cm, AD = 13 cm, and AC = 37 cm, then find the length of DC in cm.

Show answer & explanation

Correct answer: B

Explanation

 The correct answer is option 2 i.e. 30

Triangle ABC is a right-angled triangle at B.

BD = 5 cm

AD = 13 cm

AC = 37 cm

ABD is also a right-angled triangle.

AB2 + BD2 = AD2

AB2 = 169 - 25

AB = 12

AB2 + BC2 = AC2

BC2 = AC2 - AB2

BC2 = 372 - 122

BC = 35

BD + DC = 35

DC = 30