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For a Diwali display Nandini arranged 16 clay lanterns and 40 candles on a table. What is the ratio of lanterns to candles in simplest form?

Class 6Ratio and ProportionRatio and Proportion
  • A5 : 2
  • B4 : 10
  • C2 : 5
  • D2 : 7

Step-by-Step Solution

Lanterns : candles = 16 : 40. HCF is 8, so 16÷8 : 40÷8 = 2 : 5. The option 2 : 7 compares lanterns with the TOTAL of 56 items instead of with the candles; 4 : 10 stopped after dividing by 4; 5 : 2 has the order reversed.
Answer: C) 2 : 5

Key idea: What a ratio means

The ratio 2 : 3 says: for every 2 of one thing, there are 3 of another. In a fruit basket of 2 apples and 3 oranges, the ratio of apples to oranges is 2 : 3. **Order matters** — the ratio of oranges to apples in the same basket is 3 : 2. The two quantities must be in the same unit (you can't ratio apples to kilograms unless you convert).

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