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Two hydrochloric acid solutions, one of concentration 40% and one of concentration 25%, are mixed together to make a solution of 35% concentration. 
How much solution is made?
(1) 200 ml of 40% solution is used
(2) 100 ml of 25% solution is used
  • a)
    EITHER Statement 1 or Statement 2 ALONE is sufficient to answer the question.
  • b)
    BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.
  • c)
    Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is not sufficient.
  • d)
    BOTH statements TOGETHER are NOT sufficient to answer the question.
  • e)
    Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two hydrochloric acid solutions, one of concentration 40% and one of c...
uppose we only know that 200 ml of the 40% solution is used. Then we can call x the amount of 25% solution used, and the total amount made is  200+x. The solution equation becomes, 
200(0.40)  + x(0.25) = (200 + x)(0.35)
80 + 0.25x = 70 + 0.35x
10 = 0.10x
x = 10 ÷ 0.10=100
So 100 ml of the 25% solution is used.
Similarly, if we only know that 100 ml of the 25% solution is used, then we can call y the amount of 40% solution used, and the total amount made is  100+y . The solution equation becomes, 
y(0.40) + 100(0.25) = (100 + y)(0.35)
0.40y + 25 = 35 + 0.35y
0.05y = 10
y =1 0 ÷ 0.05
y = 200
So 200 ml of the 10% solution is used.
Either way, we get that
100 + 200 = 300
and 300 ml of solution is created.
The answer is that either statement is sufficient to answer the question.
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Most Upvoted Answer
Two hydrochloric acid solutions, one of concentration 40% and one of c...
uppose we only know that 200 ml of the 40% solution is used. Then we can call x the amount of 25% solution used, and the total amount made is  200+x. The solution equation becomes, 
200(0.40)  + x(0.25) = (200 + x)(0.35)
80 + 0.25x = 70 + 0.35x
10 = 0.10x
x = 10 ÷ 0.10=100
So 100 ml of the 25% solution is used.
Similarly, if we only know that 100 ml of the 25% solution is used, then we can call y the amount of 40% solution used, and the total amount made is  100+y . The solution equation becomes, 
y(0.40) + 100(0.25) = (100 + y)(0.35)
0.40y + 25 = 35 + 0.35y
0.05y = 10
y =1 0 ÷ 0.05
y = 200
So 200 ml of the 10% solution is used.
Either way, we get that
100 + 200 = 300
and 300 ml of solution is created.
The answer is that either statement is sufficient to answer the question.
Free Test
Community Answer
Two hydrochloric acid solutions, one of concentration 40% and one of c...
Statement 1: 200 ml of 40% solution is used.

Let's assume that x ml of the 40% solution is mixed with y ml of the 25% solution to make the 35% solution.

From the given information, we know that the concentration of the 40% solution is 40%, so the amount of hydrochloric acid in the 40% solution is 0.4 * 200 ml = 80 ml.

Since the final concentration of the mixture is 35%, the amount of hydrochloric acid in the mixture is 0.35 * (x + y) ml.

Since the total amount of hydrochloric acid in the mixture should be equal to the sum of the amounts of hydrochloric acid in the two original solutions, we can write the equation:

80 ml = 0.35 * (x + y) ml

This equation has two variables (x and y), so it cannot be solved with the information given in statement 1 alone. Therefore, statement 1 alone is not sufficient to answer the question.

Statement 2: 100 ml of 25% solution is used.

Similar to the previous case, let's assume that x ml of the 40% solution is mixed with y ml of the 25% solution to make the 35% solution.

From the given information, we know that the concentration of the 25% solution is 25%, so the amount of hydrochloric acid in the 25% solution is 0.25 * 100 ml = 25 ml.

Using the same reasoning as before, we can write the equation:

80 ml = 0.35 * (x + y) ml

Again, this equation has two variables (x and y), so it cannot be solved with the information given in statement 2 alone. Therefore, statement 2 alone is not sufficient to answer the question.

Both statements together:

By combining the information from both statements, we have the following equations:

x + y = total volume of solution
0.4x + 0.25y = 0.35 * (x + y)

These two equations can be solved simultaneously to find the values of x and y, and therefore determine the total volume of the solution. Therefore, both statements together are sufficient to answer the question.

Therefore, the correct answer is option A: EITHER Statement 1 or Statement 2 alone is sufficient to answer the question.
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Two hydrochloric acid solutions, one of concentration 40% and one of concentration 25%, are mixed together to make a solution of 35% concentration.How much solution is made?(1) 200 ml of 40% solution is used(2) 100 ml of 25% solution is useda)EITHER Statement 1 or Statement 2 ALONE is sufficient to answer the question.b)BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.c)Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is not sufficient.d)BOTH statements TOGETHER are NOT sufficient to answer the question.e)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.Correct answer is option 'A'. Can you explain this answer?
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Two hydrochloric acid solutions, one of concentration 40% and one of concentration 25%, are mixed together to make a solution of 35% concentration.How much solution is made?(1) 200 ml of 40% solution is used(2) 100 ml of 25% solution is useda)EITHER Statement 1 or Statement 2 ALONE is sufficient to answer the question.b)BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.c)Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is not sufficient.d)BOTH statements TOGETHER are NOT sufficient to answer the question.e)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Two hydrochloric acid solutions, one of concentration 40% and one of concentration 25%, are mixed together to make a solution of 35% concentration.How much solution is made?(1) 200 ml of 40% solution is used(2) 100 ml of 25% solution is useda)EITHER Statement 1 or Statement 2 ALONE is sufficient to answer the question.b)BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.c)Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is not sufficient.d)BOTH statements TOGETHER are NOT sufficient to answer the question.e)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two hydrochloric acid solutions, one of concentration 40% and one of concentration 25%, are mixed together to make a solution of 35% concentration.How much solution is made?(1) 200 ml of 40% solution is used(2) 100 ml of 25% solution is useda)EITHER Statement 1 or Statement 2 ALONE is sufficient to answer the question.b)BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.c)Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is not sufficient.d)BOTH statements TOGETHER are NOT sufficient to answer the question.e)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.Correct answer is option 'A'. Can you explain this answer?.
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