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Practice Test: Arithmetic Progressions - Class 10 MCQ


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15 Questions MCQ Test - Practice Test: Arithmetic Progressions

Practice Test: Arithmetic Progressions for Class 10 2024 is part of Class 10 preparation. The Practice Test: Arithmetic Progressions questions and answers have been prepared according to the Class 10 exam syllabus.The Practice Test: Arithmetic Progressions MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Arithmetic Progressions below.
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Practice Test: Arithmetic Progressions - Question 1

If the sum of first n terms of an AP be 3n2 + n and it's common difference is 6, then its first term is :

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Practice Test: Arithmetic Progressions - Question 2

If 7th and 13th terms of an A.P. be 34 and 64, respectively, then it's 18th term is :

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Practice Test: Arithmetic Progressions - Question 3

The sum of all 2-digit odd positive numbers is :

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Here a = 11 and d = 2, tn= 99, n = ?
Sum of the n terms = (n/2)[2a+(n -1)d]
But tn = a + (n -1)d
⇒ 99 = 11+ (n-1)2
⇒ 99 -11 = (n-1)2
⇒ 88/2 = (n-1)
∴ n = 45.
subsitute n = 45  in sum of the n terms we obtain
⇒ s45 = (45/2)(2×11 + (45 -1)2)
⇒ s45 = (45/2)(110)
⇒ s45 = 45×55.
⇒  s45 = 2475.
∴ sum of all two digit odd positive numbers = 2475.

Practice Test: Arithmetic Progressions - Question 4

The fourth term of an A.P. is 4. Then the sum of the first 7 terms is :

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Practice Test: Arithmetic Progressions - Question 5

In an A.P. s3 = 6, s6 = 3, then it's common difference is equal to :

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Practice Test: Arithmetic Progressions - Question 6

The 15th term from the last term of the AP: 4,9,14,......254 is :

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Practice Test: Arithmetic Progressions - Question 7

Ramesh started work in 2010 with an annual salary of ₹6000 and received an increment of ₹300 each year. In which year did his income reach ₹9000?

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Practice Test: Arithmetic Progressions - Question 8

The sum of first n odd natural numbers is

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example :
 

Practice Test: Arithmetic Progressions - Question 9

If 7 times the 7th term of an A.P. is equal to 11 times its 11th term, then 18th term is

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Practice Test: Arithmetic Progressions - Question 10

Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4

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Practice Test: Arithmetic Progressions - Question 11

The nth term of an A.P. is given by an = 3 + 4n. The common difference is

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Practice Test: Arithmetic Progressions - Question 12

The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is

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Practice Test: Arithmetic Progressions - Question 13

If {an} = {2.5, 2.51, 2.52,...} and {bn} = {3.72, 3.73, 3.74,...} be two AP's, then a100005 – b100005 =

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Practice Test: Arithmetic Progressions - Question 14

 In an Arithmetic Progression, if a = 28, d = -4, n = 7, then an is:

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Explanation: For an AP,

an = a+(n-1)d

= 28+(7-1)(-4)

= 28+6(-4)

= 28-24

an=4

Practice Test: Arithmetic Progressions - Question 15

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

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