Statement-1: The number of 4-digit numbers th | vedclass

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(D) For a number to be divisible by $4$,the last two digits must form a number divisible by $4$.Possible pairs $(xy)$ from the set ${1, 2, 3, 4, 5, 6,

Vedclass · Accepted Answer

Statement-$1$ is false,Statement-$2$ is true.

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(D) For a number to be divisible by $4$,the last two digits must form a number divisible by $4$.Possible pairs $(xy)$ from the set ${1, 2, 3, 4, 5, 6, 7}$ are: $12, 16, 24, 32, 36, 44, 52, 56, 64, 72$.There are $10$ such pairs.For each pair,the first two digits can be filled in $7 	imes 7 = 49$ ways (since repetition is allowed).Total numbers = $10 	imes 49 = 490$.Statement-$1$ claims there are $200$ such numbers,which is false.Statement-$2$ is false because the divisibility rule for $4$ depends on the last two digits,not just the unit digit.Thus,both statements are false.

Statement-$1$: The number of $4$-digit numbers that can be formed using the digits $1, 2, 3, 4, 5, 6, 7$ which are divisible by $4$ is $200$.
Statement-$2$: $A$ number is divisible by $4$ if its unit digit is divisible by $4$.

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Statement-$1$: The number of $4$-digit numbers that can be formed using the digits $1, 2, 3, 4, 5, 6, 7$ which are divisible by $4$ is $200$.Statement-$2$: $A$ number is divisible by $4$ if its unit digit is divisible by $4$.