Multiple choice

In a series each term is 2 more than the preceding term. What is 2nd term of the series? (1) The middle term if the series is 10 (2) The first term is 2

  1. if statement (1) alone is sufficient but statement (2) alone is not

  2. if statement (2) alone is sufficient but statement (1) alone is not

  3. if both (1) and (2) together are sufficient but none of them alone is sufficient

  4. if both independently are sufficient

  5. if both statements (1) and (2) together are not sufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series is an arithmetic progression with common difference d=2. Statement (1) says the middle term is 10. If there are n terms, the middle term is the average. This is insufficient without knowing the number of terms. Statement (2) says the first term is 2. With a=2 and d=2, the 2nd term is a+d = 2+2=4. Statement (2) is sufficient.

AI explanation

In an arithmetic progression, the second term is a + d. From statement 1, the middle term being 10 does not give us the first term without knowing the total number of terms. From statement 2, the first term is 2 and the common difference is given as 2, so the second term is 2 + 2 = 4. Therefore, statement 2 alone is sufficient.

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