Directions: Below question is followed by two statements I and II. You

1.	Directions: Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.What is the common difference between the terms of arithmetic progression?Statement I: The difference between the 16th term and 10th term of arithmetic progression is 30.Statement II: The 25th term of arithmetic progression is 135.1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question.
Answer» Correct Answer - Option 1 : If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Let a = first term and d = common difference Tn = a + (N - 1)d From statement I T16 = a + (16 - 1)d = a + 15d T10 = a + (10 - 1)d = a + 9d (a + 15d) - (a + 9d) = 30 ∴ d = 5 From statement II T25 = a + (25 -1)d = 135 a + 24d = 135 ∴ the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Directions: Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.What is the common difference between the terms of arithmetic progression?Statement I: The difference between the 16th term and 10th term of arithmetic progression is 30.Statement II: The 25th term of arithmetic progression is 135.1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question.

Answer» Correct Answer - Option 1 : If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Let a = first term and d = common difference

Tn = a + (N - 1)d

From statement I

T16 = a + (16 - 1)d = a + 15d

T10 = a + (10 - 1)d = a + 9d

(a + 15d) - (a + 9d) = 30

∴ d = 5

From statement II

T25 = a + (25 -1)d = 135

a + 24d = 135

∴ the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

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