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IPMAT Indore 2022 - QA (MCQ) Q35 Explanation
December 28, 2024
Explanation:
(d)
Number of 4-digit numbers divisible by both 2 and 3 = Number of 4-digit numbers divisible by the LCM (2 & 3) i.e. 6.
=[9999/6] − [1000/6] = 1666 − 166 = 1500
Number of 4-digit numbers divisible by 2,3 and 5
= Number of 4-digit numbers divisible by LCM (2,3,5)
= i.e. 30. = [9999/30] − [1000/30] = 333 − 33 = 300
∴ Number of 4-digit numbers divisibly by 2 & 3 but not 5
= (Number of 4 –digit divisibly by 2 & 3 i.e. 6) – (Number of 4-digit nos. divisibly by 2,3 &5)
= 1500 - 300 = 1200.