Questions & Answers

Question

Answers

A. 380

B. 360

C. 400

D. 520

E. 480

Answer

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Hint: Take each digit separate and look for the values which satisfy the conditions.

Complete step-by-step answer:

Let us start with the values ‘abcd’ can take

‘a’ can take 5 values {1,3,5,7,9}

‘b’ can take 4 values {0,3,6,9}

‘c’ can take 5 values {0,2,4,6,8}

‘d’ can take 4 values {2,3,5,7}

Therefore, Total such 4 digit number =5×4×5×4= 400

Note: Similar problems including combination of conditions can be asked. In that case, the above method is best suited.

Complete step-by-step answer:

Let us start with the values ‘abcd’ can take

‘a’ can take 5 values {1,3,5,7,9}

‘b’ can take 4 values {0,3,6,9}

‘c’ can take 5 values {0,2,4,6,8}

‘d’ can take 4 values {2,3,5,7}

Therefore, Total such 4 digit number =5×4×5×4= 400

Note: Similar problems including combination of conditions can be asked. In that case, the above method is best suited.

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