In a five digit number, the digit at the hundreds place is three-fourth of the digit at ten thousands place and the digit at tens place is two-third of the digit at hundreds place. The digit at tens place is square of the smallest prime number and the digit at thousands place is the largest single digit prime number. If the digit at unit place is the largest single digit odd number, then the number is
Answer
The correct answer is A: 87649. Tens place = square of smallest prime = 2² = 4. Hundreds place: tens place is 2/3 of hundreds place, so hundreds = (3/2) × 4 = 6.
A.87649✓ Correct
B.49327
C.83419
D.42937
Explanation
Tens place = square of smallest prime = 2² = 4. Hundreds place: tens place is 2/3 of hundreds place, so hundreds = (3/2) × 4 = 6. Ten thousands place: hundreds is 3/4 of ten thousands, so ten thousands = (4/3) × 6 = 8. Thousands place = largest single-digit prime = 7. Units place = largest single-digit odd number = 9. So the number is 8 (ten thousands), 7 (thousands), 6 (hundreds), 4 (tens), 9 (units) = 87649.
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