A bucket can hold 6.25 liters of water. How many such buckets are needed to fill a 1 cubic meter tank?
- (a)150
- (b)160
- (c)165
- (d)170
Answer
Why
Correct — B. Put both volumes in the same unit first.
Convert the tank: 1 m³ = 1000 litres
Divide by one bucket: 1000 ÷ 6.25
Write 6.25 as 25⁄4: 1000 × 4⁄25 = 160 → option (b)
Check: 160 × 6.25 = 1000 litres exactly.
Why the others are wrong
- (a)150 — 150 buckets hold 150 × 6.25 = 937.5 litres, which leaves the tank 62.5 litres short of 1000.
- (c)165 — 165 buckets hold 165 × 6.25 = 1031.25 litres, 31.25 litres more than the tank takes.
- (d)170 — 170 buckets hold 170 × 6.25 = 1062.5 litres, overflowing the 1000-litre tank by 62.5 litres.
Concept
The litre is one cubic decimetre. A metre is 10 decimetres, so a cubic metre is 10 × 10 × 10 = 1000 litres.
Once the tank is in litres, the count is a plain division: total volume ÷ volume of one bucket.
Reading 6.25 as 25⁄4 turns the division into multiplying by 4 and dividing by 25, which is quicker than long division by a decimal.
The division comes out exact, so no rounding is needed. Had it not, the count would round up, because a part-bucket still has to be poured.
Key facts
- 1 litre = 1 dm³ = 1000 cm³.
- 1 m³ = 1000 litres = 1 kilolitre.
- Dividing by 6.25 is the same as multiplying by 0.16, since 6.25 = 25⁄4.
Study next
Common traps
- Converting a cubic metre as if it were a metre: 1 m³ is 1000 litres, not 100, and 100 ÷ 6.25 = 16 fits no option.
- Picking a nearby option without multiplying back: 165 looks close until 165 × 6.25 = 1031.25 is checked.
Here the unit conversion is the whole question. The same 1 m³ = 1 kilolitre link decides 19 Sep 2025, 16:00, Quant Q.11, and 1 litre = 1000 cm³ decides 25 Sep 2024, 12:30, Quant Q.17 and 17 Sep 2024, 09:00, Quant Q.7.
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