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JEE Main 202524 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
24 January
Shift
Morning Shift
Subject
Mathematics
Chapter
Sequences and Series

JEE Main 2025 · 24 January · Morning Shift · Mathematics · Sequences and Series

The number of 3 -digit numbers, that are divisible by 2 and 3 , but...

The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is______.

Correct answer

0

Step-by-step solution

No, of 3 digits =999−99=900=999-99=900 No. of 3 digit numbers divisible by 2 & 3 i.e. by 6 9006=150\frac{900}{6}=150 No. of 3 digit numbers divisible by 4 & 9 i.e. by 36 90036=25\frac{900}{36}=25 ∴\therefore No of 3 digit numbers divisible by 2 & 32 ~\&~ 3 but not by 4 & 94 ~\&~ 9 150−25=125150-25=125
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