A box is to be filled with apples each weighing 10 1 kg. The weight of the box after filling the apples should not exceed 5 4 kg. What is the maximum number of apples that can be put inside the box?

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A box is to be filled with apples each weighing 10 1 kg. The weight of the box after filling the apples should not exceed 5 4 kg. What is the maximum number of apples that can be put inside the box?

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Kerala PSC Common Preliminary Exam (GRADUATE LEVEL) PYP 38-24

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Answer 1

Ans: (C) 4

Key Points :

Weight of each apple: 1 1/4 kg = 5/4 kg = 1.25 kg

Maximum total weight: 5 3/4 kg = 23/4 kg = 5.75 kg

Divide the maximum weight by the weight of each apple: 5.75 kg / 1.25 kg = 4.6

Since you can't have half an apple, the maximum number of apples is 4.

Important Points :

Weight of each apple: 10 1/2 kg = (21/2) kg

Maximum weight of filled box: 54 kg = (54/1) kg (or you can think of it as 54/1 for consistency)

Let 'x' be the number of apples: The total weight of the apples will be (21/2) * x kg.

Set up the Inequality: The total weight of the apples must be less than or equal to the maximum allowable weight of the filled box. So, the inequality is: (21/2) * x ≤ 54

Additional Information :

Apple Weight: 10 1/2 kg = 21/2 kg = 10.5 kg

Maximum Weight: 54 kg

Calculation: 54 kg / 10.5 kg/apple ≈ 5.14 apples , Answer: Since you can't have parts of apples, the maximum number of apples is 5.

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A box is to be filled with apples each weighing 10 1 kg. The weight of the box after filling the apples should not exceed 5 4 kg. What is the maximum number of apples that can be put inside the box?

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