Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 22)
22.
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
Answer: Option
Explanation:
Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
So, middle number = H.C.F. of 551 and 1073 = 29;
| First number = |  |
551 |  |
= 19; Third number = | |
1073 | |
= 37. |
| 29 | 29 |
Required sum = (19 + 29 + 37) = 85.
Discussion:
53 comments Page 2 of 6.
Gopi said:
1 decade ago
In-case of co primes, if 29 is the middle number then first should be 23 and last should be 31. Then the given values not match. Please clarify.
Venkatareddy said:
1 decade ago
How the you can say 29 is the common factor and explain?
Prathyusha.j said:
1 decade ago
@Gopi.
If we take the numbers to be 23 and 31,
We get 23*29=667.. which is in contrast with the question.
So the numbers should be 19 and 37.
If we take the numbers to be 23 and 31,
We get 23*29=667.. which is in contrast with the question.
So the numbers should be 19 and 37.
Sathiya priya said:
1 decade ago
Let assume three numbers are a, b and c.
Given:
The product of a and b is 551.
The product of b and c is 1073.
b is common in both the product
b = H.C.F. of 551 and 1073 = 29;
a = (551/29) = 19.
c = (1073/289) = 37.
The sum of three number is 85.
Given:
The product of a and b is 551.
The product of b and c is 1073.
b is common in both the product
b = H.C.F. of 551 and 1073 = 29;
a = (551/29) = 19.
c = (1073/289) = 37.
The sum of three number is 85.
Sujeeth said:
1 decade ago
Explain how 29 came?
Soni said:
9 years ago
Please, explain the problem clearly.
Jyoti. said:
9 years ago
@Sujeeth
1*3 = 3
5*7 = 35
5*0 = 0
1.
= 3 - 35 - 0 - 1.
= 28 - 0 - 1.
= 28 + 1.
= 29.
1*3 = 3
5*7 = 35
5*0 = 0
1.
= 3 - 35 - 0 - 1.
= 28 - 0 - 1.
= 28 + 1.
= 29.
Neharika said:
9 years ago
Four prime numbers are arranged in ascending order according to their magnitude. The product of first Three is 20,677 and the product of last three 33,263. Find the numbers.
Can anyone solve and explain this question ?
Can anyone solve and explain this question ?
Aby said:
9 years ago
Thank you, @Ashutosh.
Samir said:
9 years ago
Why we divide 29 from 551 & 1073?
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