Question:medium
How many four digit numbers \( abcd \) exist such that \( a \) is odd, \( b \) is divisible by 3, \( c \) is even and \( d \) is prime?
How many four digit numbers \( abcd \) exist such that \( a \) is odd, \( b \) is divisible by 3, \( c \) is even and \( d \) is prime?
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In counting problems, 0 is often a "trap." It is technically even and divisible by 3, but it cannot be the first digit ($a$) of a four-digit number. Since $a$ must be odd here, 0 is allowed for $b$ and $c$.
Updated On: May 6, 2026
- \( 380 \)
- \( 360 \)
- \( 400 \)
- \( 520 \)
- \( 480 \)
Show Solution
The Correct Option is C
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