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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
58% (02:09) correct
42%
(02:05)
wrong
based on 74
sessions
History
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Not Attempted Yet
When Oswaldo was promoted, he expected his salary to increase by 10 percent. Did his salary increase by more than 15 percent?
(1) Oswaldo’s new salary was 2,000 pesos greater than he expected.
(2) Oswaldo’s new salary was less than 47,000 pesos.
(1) Oswaldo’s new salary was 2,000 pesos greater than he expected.
(2) Oswaldo’s new salary was less than 47,000 pesos.
22 Mar 2026, 01:07
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When Oswaldo was promoted, he expected his salary to increase by 10 percent. Did his salary increase by more than 15 percent?
(1) Oswaldo’s new salary was 2,000 pesos greater than he expected.
(2) Oswaldo’s new salary was less than 47,000 pesos.
Let original salary be 'S'. Thus, Expected salary = 1.1 S
We need to check: Actual New Salary > 1.15 S
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: Oswaldo’s new salary was 2,000 pesos greater than he expected.
Given:
Actual New Salary = 2000 + 1.1 S
We need to check if: 2000 + 1.1 S > 1.15 S
=> 2000 > 0.05 S
=> S < 40,000
Now, if S < 40,000, answer = YES, else NO. Since we cannot uniquely determine the answer using Statement 1 alone, Statement 1 is insufficent alone.
Now, let's take a look at Statement 2 closely:
Statement 2: Oswaldo’s new salary was less than 47,000 pesos.
Given:
Actual New Salary < 47,000
However, we do not know anything about the original salary, due to which we cannot arrive at any answer. Hence, Statement 2 is insufficient alone as well.
Now, let's look at the combination of both the statements:
Actual New Salary = 2000 + 1.1 S
2000 + 1.1 S < 47,000
S < 40,909
Now, we need S < 40,000 for the answer to be YES. Since S < 40,909, we can have multiple possible values for S. For example, if S = 39,000, then answer would clearly be YES. However, if S = 40,500, the answer would be NO.
Thus, we cannot arrive at a unique answer. Hence, the correct answer is Option (E) - Statements (1) and (2) TOGETHER are NOT sufficient.
Hope this helps!
(1) Oswaldo’s new salary was 2,000 pesos greater than he expected.
(2) Oswaldo’s new salary was less than 47,000 pesos.
Let original salary be 'S'. Thus, Expected salary = 1.1 S
We need to check: Actual New Salary > 1.15 S
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: Oswaldo’s new salary was 2,000 pesos greater than he expected.
Given:
Actual New Salary = 2000 + 1.1 S
We need to check if: 2000 + 1.1 S > 1.15 S
=> 2000 > 0.05 S
=> S < 40,000
Now, if S < 40,000, answer = YES, else NO. Since we cannot uniquely determine the answer using Statement 1 alone, Statement 1 is insufficent alone.
Now, let's take a look at Statement 2 closely:
Statement 2: Oswaldo’s new salary was less than 47,000 pesos.
Given:
Actual New Salary < 47,000
However, we do not know anything about the original salary, due to which we cannot arrive at any answer. Hence, Statement 2 is insufficient alone as well.
Now, let's look at the combination of both the statements:
Actual New Salary = 2000 + 1.1 S
2000 + 1.1 S < 47,000
S < 40,909
Now, we need S < 40,000 for the answer to be YES. Since S < 40,909, we can have multiple possible values for S. For example, if S = 39,000, then answer would clearly be YES. However, if S = 40,500, the answer would be NO.
Thus, we cannot arrive at a unique answer. Hence, the correct answer is Option (E) - Statements (1) and (2) TOGETHER are NOT sufficient.
Hope this helps!
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