Latest Elitmus Aptitude Question SOLUTION: If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers? (1) The largest

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(#M40152058) ELITMUS Category question Data Sufficiency Keep an EYE

If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?

(1) The largest number of the three distinct numbers is 36
(2) The average (arithmetic mean) of the three numbers is 17

Asked In Elitmus sanjay (8 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

priyanka   (8 years ago)

by (1)
we can get product of smaller no
sqrt(x*y*z)=z
z= 36 then solve xy=36

Is this solution Helpfull? Yes (7) | No (3)  

Soumen Maity  (8 years ago)

both 1 and 2 options are required to ans this question.
for ex, (abc)^1/2=36, So abc= 1296
and a+b+c=17*3=51
so a+b= 51-36=15.............................(i)
ab=1296/36=36............................(ii)

So, a-b= (225-144)^1/2=9

a=12,b=3
so ans is 36

Is this solution Helpfull? Yes (7) | No (5)  

Jubin Katiyar  (8 years ago)

using only 1

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

Soumen Maity  (8 years ago)

sry guys I was wrong before...... only 1st option will be enough to solve this

Is this solution Helpfull? Yes (4) | No   

rajveer singh  (8 years ago)

Only product of the smallest number we need to find................hence only 1st condi is required.....

Is this solution Helpfull? Yes (3) | No   

mohit kumar tiwari  (8 years ago)

let assume c is largest num
a^1/2*b^1/2*c^1/2=c
but given that c=36
ab=36
a+b =15
and after solving a=12 and b=3 so ab=36

Is this solution Helpfull? Yes (2) | No   

Pooja baghel  (8 years ago)

with the help of (1)

Is this solution Helpfull? Yes (1) | No   

anand vijay  (8 years ago)

statement (1) only.

Is this solution Helpfull? Yes (1) | No   

sanjay  (8 years ago)

How? Can u briefly explain me?

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mahesh kumar  (8 years ago)

using 1st statement only .......
we get the other two numbers....

Is this solution Helpfull? Yes | No   

prasid kumar basu  (8 years ago)

let x=36
so, (xyz)^1/2 =36
(yz)^1/2 = 6
yz=36

Is this solution Helpfull? Yes | No   

Abhishek nkumar  (8 years ago)

both are required to solve this question.
since yz=36
there is unique values of y & z here. but together by using statement 2 we can find the unique valus of y & z =12,3.

Is this solution Helpfull? Yes | No (2)  

Soumen Maity  (8 years ago)

If we use only option 1 then we will have sets of values for a and b. We won't be able to find the exact ans.

Is this solution Helpfull? Yes | No (3)  

jitendra  (8 years ago)

sqrt(x*y*z)=z
z= 36 then solve xy=36

Is this solution Helpfull? Yes | No   

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