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LCM of 2 natural numbers p and q where p > q is 935. What is the maximum possible sum of the digits of q?
- a)1
- b)13
- c)8
- d)2
- e)5
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
LCM of 2 natural numbers p and q where p > q is 935. What is the ma...
We know, 935 = 5*11*17
Let p = hx
q = hy
Where h is the hcf of p and q.
Therefore, lcm of p and q= hxy
q = hy
Where h is the hcf of p and q.
Therefore, lcm of p and q= hxy
We have lcm = 935.
hxy = 935
hxy = 935
If h = 1,
Then p = 935
q = 1
Sum of digits of q = 1
Then p = 935
q = 1
Sum of digits of q = 1
If h = 5,
p = 5*17 = 85
q = 5*11 = 55
Sum of digits of q = 10
p = 5*17 = 85
q = 5*11 = 55
Sum of digits of q = 10
If h = 11,
p = 11*17 = 187
q = 11*5 = 55
Sum of digits of q = 10
p = 11*17 = 187
q = 11*5 = 55
Sum of digits of q = 10
If h = 17,
p = 17*11 = 187
q = 17*5 = 85
Sum of digits of q = 13
p = 17*11 = 187
q = 17*5 = 85
Sum of digits of q = 13
Maximum possible sum of digits of q = 13.
The question is "What is the maximum possible sum of the digits of q?"
The question is "What is the maximum possible sum of the digits of q?"
Hence the answer is "13"
Most Upvoted Answer
LCM of 2 natural numbers p and q where p > q is 935. What is the ma...
Since p and q are both prime numbers, their only common factor is 1. Therefore, the LCM of p and q is simply their product:
LCM(p, q) = p*q
LCM(p, q) = p*q
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LCM of 2 natural numbers p and q where p > q is 935. What is the maximum possible sum of the digits of q?a)1b)13c)8d)2e)5Correct answer is option 'B'. Can you explain this answer?
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