Latest CAT Aptitude Question SOLUTION: the HCF of two positive integers is 5 and their LCM is 105.the numbers are

• Placement Papers
• /
• CAT

CAT Question Papers:

(#M40020025) CAT question Keep an EYE

the HCF of two positive integers is 5 and their LCM is 105.the numbers are

Asked In CAT (10 years ago)

Unsolved Read Solution (5)

Is this Puzzle helpful?   (3)   (1) Submit Your Solution

Read Solution (5) :

rahul jha  (10 years ago)

HCF * LCM = n1 * n2
-->
n1*n2=5*105=525
so,answer can be: (5 , 105) , (15 , 35)

Is this solution Helpfull? Yes (2) | No   

Vinay Sipani   (10 years ago)

HCF * LCM = a * b
=> a*b = 525

=> Possible (a , b) = (5 , 105) , (15 , 35)

Is this solution Helpfull? Yes | No   

meenakshi  (10 years ago)

In order to have a LCM of 105, the two numbers must only have unique primes that multiply to give 105. 105 is the product of 5, 3 and 7. To have an HCF of 5, the two numbers must only share a factor of 5. Thus the factors of one must be 5 and 3, and the factors of the other must be 5 and 7:
5x3 = 15
5x7 = 35
Therefore the two numbers with an HCF of 2 and an LCM of 30 are 15 and 35.

Is this solution Helpfull? Yes | No   

Chandni Maurya  (10 years ago)

ans=>(15,35)&(5,105)3*5,5*7 & 5,3*5*7
=>15,35 & 5,105

Is this solution Helpfull? Yes | No   

Chandni Maurya  (10 years ago)

ans=>(15,35)&(5,105)
let a and b be the no.
HCF*LCM=a*b
=>5*105=a*b
=525=3*5*5*7
so with HCF 5, possibilities are,
=>3*5,5*7 & 5,3*5*7
=>15,35 & 5,105

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.