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π Prepare AAI - ATC Exam (2023) with ATC Gurus Mr. Paras Soni & Dr. Abhijit Sen
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Free Aptitude Question
Two numbers are in the ratio of 5:7. If their LCM is 105, what is the difference between their squares ?
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option:
216
Correct πͺ
In-correct π§
210
Correct πͺ
In-correct π§
72
Correct πͺ
In-correct π§
840
Correct πͺ
In-correct π§
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October 02, 2023
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Explanation
Let ‘h’ be the HCF of the two numbers.
=> The numbers are 5h and 7h.
We know that Product of Numbers = LCM x HCF
=> 5h x 7h = 105 x h
=> h = 3
So, the numbers are 15 and 21.
Therefore, difference of their squares = 21
2
– 15
2
= 441 – 225 = 216