Subject - Mathematics:

Arithmetic Progression

MCQ - 447-9179

Question:

The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 64. The common difference of the AP is

Correct Answer: C

Explanation:

Let a be the first term and d be the common difference.
Given: a₅ = 20
a₇ + a₁₁ = 64
Now, Consider a₅ = 20
⇒ a + 4d = 20 ……………(1)
Consider a₇ + a₁₁ = 64
⇒ a + 6d + a + 10d = 64
⇒ 2a + 16d = 64 …………(2)
Subtract twice of equation (1) from (2), we get,
8d = 24
⇒ d = 3

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504 MCQ for effective preparation of the test of Arithmetic Progression of Mathematics section.

Read the MCQ statement: The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 64. The common difference of the AP is , keenly and apply the method you have learn through the video lessons for Arithmetic Progression to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 447-9179.

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