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Among five objects, Gas stove, Washing machine, Refrigerator, Inverter and
Microwave oven:
the Washing machine is twice as heavy as the Inverter;
the Gas stove is one and half times as heavy as the Microwave oven;
the Washing machine and Microwave oven together weigh as much as the Gas stove
and Inverter together;
the Refrigerator and Inverter together are one and half times as heavy as the Gas
stove.
Which is the heaviest among the five objects?
Gas stove
Microwave oven
Refrigerator
Washing machine
- Let's define the weights:
- Inverter = I
- Washing machine = 2I
- Refrigerator = R
- Gas stove = G
- Microwave oven = M
- Given:
- G = 1.5M
- 2I + M = G + I
- R + I = 1.5G
- From 2I + M = G + I, we get I + M = G
- Substituting 1.5M for G in I + M = G:
- I + M = 1.5M implies I = 0.5M
- Substitute I = 0.5M in the equation for the washing machine:
- Washing machine = 2I = M
- Substitute I = 0.5M in R + I = 1.5G:
- R + 0.5M = 1.5(1.5M) = 2.25M
- Hence, R = 1.75M
- Comparing all:
- Washing Machine = M
- Inverter = 0.5M
- Gas stove = 1.5M
- Refrigerator = 1.75M
- The heaviest is the Refrigerator.
- So the answer is:
- Option 3: Refrigerator.
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