Free Practice Question
PS · Problem Solving
555-605
Arithmetic
The average of all consecutive integers from x to y inclusive is 45. Which of the following could be x and y?
I. 37 and 53
II. 36 and 52
III. 41 and 49
Answer Choices
Correct answer marked belowA
I only
B
II only
C
III only
D
I and II only
I and III only
Correct
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Explanation
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Official Explanation
Official
The average of all consecutive integers from x to y inclusive is 45. We need to check the options: I. 37 and 53: (37 + 53)/2 = 45, so this statement is true. II. 36 and 52: (36 +…
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NiharikaMar 26, 2024
Love how you solved this
What this question tests
What it tests
Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.
Common trap
Applying the order of operations out of sequence or rounding intermediate values before the final step.
Details
Difficulty
555-605
Type
PS
Category