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A beaker contains 640 litres of 8% solution of Boric acid. This is to be diluted by adding a 2% Boric acid solution to it.
Based on the above data, answer the following question.
Q. If the resulting mixture is to be more than 4% but less than 6% boric acid, then the range of x is ..........
  • a)
    320 ≤ x ≤ 1280
  • b)
    320 ≤ x ≤ 640
  • c)
    640 ≤ x ≤ 1280
  • d)
    1280 ≤ x ≤ 2560
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A beaker contains 640 litres of 8% solution of Boric acid. This is to...
4(640 + x) ≤ 8 × 640 + 2x ≤ 6(640 + x)
2560 + 4x ≤ 5120 + 2x ≤ 3840 + 6x
2560 + 4x ≤ 5120 + 2x
⇒ 2x ≤ 2560
⇒ x ≤ 1280 ...(i)
5120 + 2x ≤ 3840 + 6x
⇒ – 4x ≤ –1280
⇒ 320 ≤ x ...(ii)
From (i) and (ii),
320 ≤ x ≤ 1280
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A beaker contains 640 litres of 8% solution of Boric acid. This is to be diluted by adding a 2% Boric acid solution to it.Based on the above data, answer the following question.Q. If the resulting mixture is to be more than 4% but less than 6% boric acid, then the range of x is ..........a)320 ≤ x ≤ 1280b)320 ≤ x ≤ 640c)640 ≤ x ≤ 1280d)1280 ≤ x ≤ 2560Correct answer is option 'A'. Can you explain this answer?
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A beaker contains 640 litres of 8% solution of Boric acid. This is to be diluted by adding a 2% Boric acid solution to it.Based on the above data, answer the following question.Q. If the resulting mixture is to be more than 4% but less than 6% boric acid, then the range of x is ..........a)320 ≤ x ≤ 1280b)320 ≤ x ≤ 640c)640 ≤ x ≤ 1280d)1280 ≤ x ≤ 2560Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A beaker contains 640 litres of 8% solution of Boric acid. This is to be diluted by adding a 2% Boric acid solution to it.Based on the above data, answer the following question.Q. If the resulting mixture is to be more than 4% but less than 6% boric acid, then the range of x is ..........a)320 ≤ x ≤ 1280b)320 ≤ x ≤ 640c)640 ≤ x ≤ 1280d)1280 ≤ x ≤ 2560Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beaker contains 640 litres of 8% solution of Boric acid. This is to be diluted by adding a 2% Boric acid solution to it.Based on the above data, answer the following question.Q. If the resulting mixture is to be more than 4% but less than 6% boric acid, then the range of x is ..........a)320 ≤ x ≤ 1280b)320 ≤ x ≤ 640c)640 ≤ x ≤ 1280d)1280 ≤ x ≤ 2560Correct answer is option 'A'. Can you explain this answer?.
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