A logistics company is monitoring two packages, Box A and Box B. The weight of Box A is always at least 35 kg, and the weight of Box B is always at most 50 kg.
Consider the following statements:
Statement I: The weight difference between Box B and Box A is always 15 kg or less.
Statement II: The combined weight of Box A and Box B is always greater than 90 kg.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

A logistics company is monitoring two packages, Box A and Box B. The weight of Box A is always at least 35 kg, and the weight of Box B is always at most 50 kg.
Consider the following statements:
Statement I: The weight difference between Box B and Box A is always 15 kg or less.
Statement II: The combined weight of Box A and Box B is always greater than 90 kg.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Weight of Box A &ge; 35 kg
Weight of Box B &le; 50 kg
Statement I:
Max possible difference = 50 &minus; 35 = 15 kg &rArr; Never more than 15 kg &rArr;Correct
Statement II:
Weight of B &le; 50, which means it can be &lsquo;0&rsquo; kg as well
Min combined weight &rArr; A + B = 35 + 0 = 35 kg, which is &le; 90 &rArr; Incorrect

Hence, option a is correct.

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E Question 1	⏱ 0
A logistics company is monitoring two packages, Box A and Box B. The weight of Box A is always at least 35 kg, and the weight of Box B is always at most 50 kg. Consider the following statements: Statement I: The weight difference between Box B and Box A is always 15 kg or less. Statement II: The combined weight of Box A and Box B is always greater than 90 kg. Select the correct answer from the options below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.