Latest Elitmus Aptitude Question SOLUTION: Is 51/x > 51/y ? a)X > Y b)X is non-Negative

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(#M40034963) ELITMUS Numerical Ability question Data Sufficiency Keep an EYE

Is 51/x > 51/y ?

a)X > Y
b)X is non-Negative

Asked In Elitmus tausif (10 years ago)

Unsolved Read Solution (10)

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RAKESH  (10 years ago)

51/x > 51/y
=> 1/x > 1/y

a ) X > Y doesn't imply 1/x > 1/y [check for 3 > 2, but 1/3 < 1/2 & -2 > -3 then 1/2 < 1/3 is not true]

b) X is non-Negative , no condn on y , y may +ve or -ve
check for 3 > 2 => 1/3 < 1/2
check for 3 > -2 => 1/3 > 1/-2

both statement together not sufficient to tell about 51/x > 51/y

Is this solution Helpfull? Yes (27) | No (3)  

Neeraj Jain  (10 years ago)

Ans: No 51/x is not greater than 51/y

given X>Y and x is non negative
hence it means denominator of 1st fraction is greater than denominator of 2nd thus 51/x is smaller than 51/y .
so
Is 51/x>51/y ? Ans : No.

Is this solution Helpfull? Yes (9) | No (9)  

Debabrata Nayak  (10 years ago)

Ans:if it is a question from data sufficiency,then the ans is:option(a) is alone sufficient to ans the question.

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tausif  (10 years ago)

I think after Combining both Statement We get the Answer
Like If X is Greater than Y And X is Positive then take value
x = 1 and y = -1 (X>Y)
So
51/1 = 51
and,
51/-1 = -51
51 > -51

If wrong please Suggest

Is this solution Helpfull? Yes (1) | No (4)  

anusha  (10 years ago)

I think x is non-negative
51/x>51/y
51/x*y/51>1
y/x>1
y>x
so a is wrong.
and let take x=-1 and y=1
51/-1>51/1
-51>51 is wrong
and also let us take x=-1 and y=any negative integer=-2
51/-1>51/-2
-51>-25.5 it is also wrong.
if x is negative number whether y is +ve or -ve the equation will be false.
so x should be non negative

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Nitesh Joshi  (10 years ago)

the first option (a) will be correct if x is non negative and y is negative no.
& this will satisfy option b also. if nly a will true then it violates the condition (eg. x=2, y= 1)

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tausif  (10 years ago)

No Bro u are Wrong
Statement a Says X > Y
So Try this value -2 and -4 as we know -2 > -4 so the answer doesnt satisfy the condition
but if we no that the x is Positive and Greater than Y then we can use 2,-2 value and Condition satisfy

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vijay  (10 years ago)

if y is negative then it is true
if y is positive then it is false

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Mohit  (10 years ago)

we can take X=2, Y=1
=> 51/2 > 51/1 (it is false)
next take X=1/2, Y=1/3
=> 51*2 > 51*3(this is also false)
next take X=1/2, Y=(-1)
=> 51*2 > -51 (this is true)
so question can not be answered even after using both the conditions

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SAMAGRA SHRIVASTAVA  (9 years ago)

the question can be answered using stmt 1 alone but not using 2 alone..

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