2025 · Q70
The value at the tenth place of a three-digit number is twice the value at the unit's place. The value at the hundredth place is 75% of the value at the unit's place. How many such numbers are possible?
general-mental-abilityquantitative-aptitude
- A0
- B1
- C2
- D3
Explanation
Let the units digit be u; then the tens digit is 2u (<= 9, so u <= 4) and the hundreds digit is 0.75u, which must be a non-zero integer. 0.75u is integral only for u = 4 (giving 3) within 1..4. Hence the only possible number is 384 — exactly one such number.