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Doctors Medicines MCQs Q&A

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: Two powders P and Q are to be mixed in ratio 4 ∶ 7 to form a mixture. If 28 kg of powder P and 28 kg of powder Q is available, how much powder Q is more required to make the desired mixture? Quantity B: A mixture is formed by mixing 16 kg of powder X and 25 kg of powder Y. How much powder X is required to be mixed with 40 kg of powder Y to make a mixture of the same ratio?

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: Two powders P and Q are to be mixed in ratio 4 ∶ 7 to form a mixture. If 28 kg of powder P and 28 kg of powder Q is available, how much powder Q is more required to make the desired mixture? Quantity B: A mixture is formed by mixing 16 kg of powder X and 25 kg of powder Y. How much powder X is required to be mixed with 40 kg of powder Y to make a mixture of the same ratio? Correct Answer Quantity A < Quantity B

Solving for Quantity A:

Let ‘x’ kg of powder Q is required

Ratio of mixture = 4 ∶ 7

⇒ 4/7 = 28/(28 + x)

⇒ 28 + x = 7/4 × 28

⇒ x = 49 – 28 = 21 kg

⇒ Quantity A = 21 kg

Solving for Quantity B:

Let ‘x’ kg of powder X be required

⇒ x/40 = 16/25

⇒ x = 40 × 16/25

⇒ x = 640/25 = 25.6 kg

⇒ Quantity B = 25.6 kg

∴ Quantity A < Quantity B

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