Below a question and two statements are given. Question: Three consecutive…
2024
Below a question and two statements are given. Question: Three consecutive integers are written in increasing order. What is the second integer? Statements: (i) The sum of the first and third integer is 22. (ii) The sum of thrice of the third integer, first integer, and second integer is 57.
- A.
Each statement (i) and (ii) alone is sufficient to answer the question
- B.
If statement (i) alone is sufficient but statement (ii) alone is not sufficient
- C.
Both statements (i) and (ii) together are sufficient but neither alone is sufficient
- D.
If statement (ii) alone is sufficient but statement (i) alone is not sufficient
- E.
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Correct answer: A
Let the three consecutive integers be n, n + 1, and n + 2.
Statement (i): n + (n + 2) = 22, so n = 10 and the second integer is 11. Statement (i) alone is sufficient.
Statement (ii): 3(n + 2) + n + (n + 1) = 57, so 5n + 7 = 57, n = 10, and the second integer is 11. Statement (ii) alone is also sufficient.
Therefore each statement alone is sufficient.