### Arithmetic Progression

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Rule(s) -

Every MCQ Question holds 1 point. There is no negative marking.

**Q. If Sn denotes the sum of first n terms of an A.P., prove that, S30 = 3(S20-S10) (not to be counted in score)**

**Q. How many numbers lie between,10 and 300 which when divided by 4, leaves a remainder 3?**

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Which term of AP 14, 11, 18, …………… is -1 ?
9th term
11th term
8th term
6th term

The 6th term of an AP is – 10 and 10th term is -26. Determine the 15th term of AP . (DELHI 2006)
-32
-33
-58
-46

Find the sum of all the natural numbers less than 100 which are divisible by 6. (AI 2006)
816
766
578
1026

If an=3-4n, show that a1,a2,a3...........form an A.P. Also ,find s20
-888
909
-780
-782

Kanika was given her pocket money on Jan 1st , 2008. She puts Re 1 on Day 1, Rs 2 on Day 2, Rs 3 on Day 3, and continued doing so till the end of the month, from this money into her piggy bank. She also spent Rs 204 of her pocket money, and found that at the end of the month she still had Rs 100 with her. How much was her pocket money for the month? (FOCUS ON THE DATA GIVEN, some info is only to confuse.) [NCERT EXEMPLAR]
700
500
450
800

Find the number of three –digit natural numbers. Which is divisible by 11 . [Foreign 2011]
34980
45498
45045
55000

How many multiples of 4 lie between 10 and 250 ? Also find their sum. (AI 2011)
4500
7800
8900
9000

Find the sum of all the 11 terms of an AP whose middle most term is 30. *(Hint: Middle term’s value is given, no of terms is, first find out which ’th’ is middle term) (NCERT EXEMPLAR)
489
434
330
222

How many terms are there in an AP whose first term and 6th term are 12 and 8 respectively, and sum of all its term is 120 ?
12
22
14
40

Find the 9th term from the end (towards the first term) of the A.P. 5, 9,13,....185.
220
235
345
153

The first and the last terms of an AP are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum ?
6789
6981
5678
7884