UPSC Exam > UPSC Questions > P Q (P > Q) LCM 1073 ?a)8b)12...
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P और Q दो अभाज्य संख्याओं (P > Q) का LCM 1073 है। दोनों संख्याओं के बीच का अंतर ज्ञात कीजिए?
- a)8
- b)12
- c)6
- d)14
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
P Q (P > Q) LCM 1073 ?a)8b)12c)6d)14Correct answer is ...
Explanation:
Given:
P Q (P > Q) LCM 1073
Calculation:
To find the LCM of two numbers, we need to find the least common multiple of those numbers.
Given that P > Q, we need to find two numbers where P is greater than Q and their LCM is 1073.
Since the LCM of two numbers is always greater than or equal to the numbers themselves, we can start by finding the factors of 1073.
Factors of 1073 are 1, 13, 83, and 1073.
Now, we need to find two numbers where one is greater than the other and their LCM is 1073.
The pair of numbers that satisfy this condition is 13 and 83 because 83 > 13 and LCM of 13 and 83 is 1073.
Therefore, the answer is 8 because the LCM of 13 and 83 is 1073.
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Community Answer
P Q (P > Q) LCM 1073 ?a)8b)12c)6d)14Correct answer is ...
दो अभाज्य संख्याओं P और Q का लघुत्तम समापवर्त्य (LCM) = 1073
P * Q = 29 x 37
चूंकि, P>Q
तो, P = 37 और Q = 29
अत: दोनों संख्याओं के बीच का अंतर = 37 - 29 = 8 होगा
इसलिए विकल्प (a) सही उत्तर है।
P * Q = 29 x 37
चूंकि, P>Q
तो, P = 37 और Q = 29
अत: दोनों संख्याओं के बीच का अंतर = 37 - 29 = 8 होगा
इसलिए विकल्प (a) सही उत्तर है।
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