Among the 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 time 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?

Question

Among the 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 time 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?

Microwave oven
Washing machine
Refrigerator
Gas stove

LohaHridoy

7 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : Refrigerator

Let us assume,

Gas stove = GS

Washing machine = WM

Microwave oven = MO

Now,

1. The Washing machine is twice as heavy as the Inverter.

WM = 2 × Inverter -------------- (1)

2. The Gas stove is one and half time as heavy as the Microwave oven.

GS = 1.5 × MO ------------ (2)

3. The Washing machine and Microwave oven together weigh as much as the Gas stove and Inverter together.

WM + MO = GS + inverter ------------ (3)

4. The Refrigerator and Inverter together are one and half times as heavy as the Gas stove.

Refrigerator + inverter = 1.5 × GS -------------- (4)

From Equation (1), (2), and (3)

(2 × inverter) + Mo = 1.5 × Mo + inverter

Inverter = 0.5 × Mo

MO = 2 × inverter ------------- (5)

From Equation (2) and (5)

GS = 1.5 × 2 × inverter

GS = 3 × inverter ---------------- (6)

from Equation (4) and (6)

Refrigerator + inverter = 1.5 × 3 × inverter

Refrigerator + inverter = 4.5 × inverter

Refrigerator = 3.5 × inverter ---------------(7)

from equation (1), (5), (6), and (7)

Washing machine = 2 × Inverter

Microwave oven = 2 × inverter

Gas stove = 3 × inverter

Refrigerator = 3.5 × inverter

From the above Equations, we can see that "Refrigerator is the heaviest among the five objects".

Hence, the correct answer is "Refrigerator".