Class 11 Mathematics · Chapter 6 · Test 2
Arithmetic Progression Applications
42 MCQs This test covers applications of the A.P. formula: finding terms and counting terms, A.P. conditions, and right-triangle and equal-roots problems.
42 questions · 35 min · 42 marks
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Sample questions
The first 5 of 42. Try each one, then tap to see the answer.
Question 1
In an A.P. with a_1 = 3 and d = 7, the 9th term is
- A59
- B56
- C66
- D52
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Answer: A
a_9 = 3 + 8(7) = 59.
Question 2
The 12th term of the A.P. 8, 3, -2, ... is
- A-52
- B-47
- C-42
- D-57
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Answer: B
a_12 = 8 + 11(-5) = -47.
Question 3
The 18th and 30th terms of an A.P. are 367 and 499. Its common difference is
- A12
- B10
- C13
- D11
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Answer: D
12d = 132, so d = 11.
Question 4
The 18th and 30th terms of an A.P. are 367 and 499. Its first term is
- A169
- B191
- C180
- D187
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Answer: C
a_1 = 367 - 17(11) = 180.
Question 5
The 18th and 30th terms of an A.P. are 367 and 499. The number of terms less than 1000 is
- A73
- B74
- C76
- D75
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Answer: D
180 + (n - 1)11 < 1000 gives n < 75.55, so n = 75.
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