The task is to work out whether: 1. One or both of the statements alone is/are…
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The task is to work out whether:
1. One or both of the statements alone is/are sufficient for the question to be answered.
2. The statements in isolation are useless but together they can solve the problem.
3. Neither statement is of any use and the problem cannot be solved.
The list of answer options are presented from A to E and are always the same.
What is the total cost of 10 identical cupboards and 10 identical drawers?
(1) 6 cupboards and 4 drawers cost a total of $390
(2) 4 cupboards and 6 drawers cost a total of $510
- A.
Statement 1 alone is sufficient, but statement 2 alone is not sufficient
- B.
Statement 2 alone is sufficient, but statement 1 alone is not sufficient
- C.
Both statements together are sufficient, but neither statement alone is sufficient
- D.
Each statement alone is sufficient
Attempted by 41 students.
Show answer & explanation
Correct answer: C
Start by taking statement (1) in isolation. An equation for the information you have is:
6C + 4D = $390
This equation has two variables and therefore cannot be solved; statement (1) is, therefore, insufficient to answer the question, so you can rule out answers A and D.
Next, take statement (2). An equation representing this statement is:
4C + 6D = $510
Again, this is a linear equation with two variables and therefore it cannot be solved. Knowing this, we can now eliminate answer B.
Start by taking statement (1) in isolation. An equation for the information you have is:
6C + 4D = $390
This equation has two variables and therefore cannot be solved; statement (1) is, therefore, insufficient to answer the question, so you can rule out answers A and D.
Next, take statement (2). An equation representing this statement is:
4C + 6D = $510
Again, this is a linear equation with two variables and therefore it cannot be solved. Knowing this, we can now eliminate answer B.