Question : The greatest four-digit number which is exactly divisible by 15, 24, and 40 is:
Option 1: 9960
Option 2: 9940
Option 3: 9990
Option 4: 9980
Answer (1)
24th Jan, 2024
Correct Answer: 9960
Solution :
LCM of 15, 24, and 40 = 120
Greatest four-digit number = 9999
On dividing 9999 by 120,
9999 = 120 × 83 + 39
Remainder = 39
$\therefore$ The greatest number divisible by 15, 24, and 40 = 9999 – 39 = 9960
Hence, the correct answer is 9960.
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