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Statement (1) MNP is a right triangle .... in any right angle triangle 90 deg is the greatest angle...since it is not given which angle is 90 ...there are two possibilities...( as 2x > x this means x cannot be hypoteneous as 2x will always be there as a higher side qualifying to be a hypoteneous... and hence P cannot be 90.... thus MN cannot be hypoteneous)

angle N = 90 or [M = 90 deg (pythagorian triplet)]..... insufficient

Statement (2) y < 2x also we know that x < 2x (similar explination as in statement 1....possibility of N = 90 is negated by this statement) only possibility is M = 90 ....sufficient

if u lik my post.....consider it for Kudos
_________________

Bhushan S. If you like my post....Consider it for Kudos

Statement (1) MNP is a right triangle .... in any right angle triangle 90 deg is the greatest angle...since it is not given which angle is 90 ...there are two possibilities...( as 2x > x this means x cannot be hypoteneous as 2x will always be there as a higher side qualifying to be a hypoteneous... and hence P cannot be 90.... thus MN cannot be hypoteneous)

angle N = 90 or [M = 90 deg (pythagorian triplet)]..... insufficient

Statement (2) y < 2x also we know that x < 2x (similar explination as in statement 1....possibility of N = 90 is negated by this statement) only possibility is M = 90 ....sufficient

if u lik my post.....consider it for Kudos

bhushan252, thank you for your post, but as a little challenge can you provide any example of a right triangle in a situation when angle N= 90, thus x and 2x are legs and y hypothenuse? try to pick real numbers.

thank you guys for explanations..i was just overthinking the question. Tried different numbers and yes, it is possible for N or M to be=90, which makes the 1 stm insufficient, and thus B is the answer.

Statement (1) MNP is a right triangle .... in any right angle triangle 90 deg is the greatest angle...since it is not given which angle is 90 ...there are two possibilities...( as 2x > x this means x cannot be hypoteneous as 2x will always be there as a higher side qualifying to be a hypoteneous... and hence P cannot be 90.... thus MN cannot be hypoteneous)

angle N = 90 or [M = 90 deg (pythagorian triplet)]..... insufficient

Statement (2) y < 2x also we know that x < 2x (similar explination as in statement 1....possibility of N = 90 is negated by this statement) only possibility is M = 90 ....sufficient

if u lik my post.....consider it for Kudos

bhushan252, thank you for your post, but as a little challenge can you provide any example of a right triangle in a situation when angle N= 90, thus x and 2x are legs and y hypothenuse? try to pick real numbers.

ok..dont go for substitution try this out...if N = 90....then (2x)^2 + x^2 = y^2 that gives y= sqrt5 * x which is 2.23x...highest now plug any values for x
_________________

Bhushan S. If you like my post....Consider it for Kudos