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

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(#M40058292) ELITMUS Numerical Ability question Keep an EYE

If the square root of the product of three positive integers is equal to the largest of the three integers, what is the product of two smaller numbers ?
(1) the largest number of the three distinct numbers is 36
(2) the average(arithmetic mean) of three numbers is 17

Asked In Elitmus Shreya Banerjee (9 years ago)

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prem  (9 years ago)

let 3 number be a,b,c
let largest number=c
according to question (a*b*c)^(1/2)=c
a*b*c=c^2
a*b=c
since largest number c=36 (given)
then
a*b=36
also
in 2 nd part (a+b+c)/3=17
a+b+c=51
since c=36
a+b=15
and from above a*b =36 which is required ans
which satisfied by 2nd conditation
two smallest no. is 3,12,
hence product of two smallest number is 36

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abhishek tiwari  (9 years ago)

Number are X,Y,Z
sq-rt X*Y*Z = X
Largest no is 36 so
sq-rt 36*Y*Z = 36
Y*Z should be 36
also we have (X+Y+Z)/3 = 17
X+Y+Z = 51
36+Y+Z = 51
Y+Z = 15
so Y+Z= 15 & Y*Z = 36
Y=12, Z= 3
ANS. 15

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