Latest CAT Aptitude Question SOLUTION: Which one of the following cannot be the ratio of angles in a right-angled triangle ? a. 1 : 2 : 3 b. 1 : 1 : 2 c. 1 : 3 : 6 d. None of these

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(#M40021056) CAT question Keep an EYE

Which one of the following cannot be the ratio of angles in a right-angled triangle ?

a. 1 : 2 : 3

b. 1 : 1 : 2

c. 1 : 3 : 6

d. None of these

Asked In CAT Alok Kumar (10 years ago)

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RICHA GARG  (10 years ago)

for it to be right-angled, largest angle must be 90.
C
check all options:
a> 3x=90; x=30 so other two angles are x=30 and 2x=60 which is possible.
b> 2x=90; x=45 so other two are x=45 and 45.possible
c> 6x=90;x=15 so other two are x=15 and 3x=45; 15+45+90 is not 180. ans is c.

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KALIDASS  (10 years ago)

Ans:c
sum of angle of triangle=180.In right angle triangle two sides must be at right angle.
1st angle=(1/10)*180=18
2nd angle=(3/10)*180=54
3rd angle=(6/10)*180=108.There is no right angle between two sides.

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