# CBSE Class 10 Mathematics Arithmetic Progression MCQs Set B

1. The sum of 5 numbers in AP is 30 and sum of their squares is 220. Which of the following is the third term ?

(a) 5 (b) 6 (c) 7 (d) 8

2. If a, b, c, d, e and f are in AP, then e – c is equal to

(a) 2(c – a) (b) 2(f – d) (c) 2(d – c) (d) d – c

3. The sum of n terms of the series 2, 5, 8,11,.... is 60100, then n is

(a) 100 (b) 150 (c) 200 (d) 250

4. The value of the expression 1 - 6 + 2 - 7 + 3 - 8 + ... to 100 terms

(a) –225 (b) –250 (c) –300 (d) –350

5. Four numbers are inserted between the numbers 4 and 39 such that an AP results. Find the biggest of these four numbers

(a) 30 (b) 31 (c) 32 (d) 33

6. The sum of the first ten terms of an AP is four times the sum of the first five terms, then the ratio of the first term to the common difference is

(a) 1/2 (b) 2 (c) 1/4 (d) 4

7. Two persons Anil and Happy joined D. W. Associates. Aniland Happy started with an initial salary of Rs. 50000 and Rs. 64000 respectively with annual increment of Rs.2500 and Rs. 2000 each respectively. In which year will Anil start earning more salary than Happy ?

(a) 28th (b) 29th (c) 30th (d) 27th

8. A man receives Rs. 60 for the first week and Rs. 3 more each week than the preceeding week. How much does he earns by the 20th week ?

(a) Rs. 1760 (b) Rs. 1770 (c) Rs. 1780 (d) Rs. 1790

9. Find 10th term whose 5th term is 24 and difference between 7th term and 10th term is 15

(a) 34 (b) 39 (c) 44 (d) 49

10. Find the sum of first n terms of odd natural number.

(a) n2 (b) n2 – 1 (c) n2 + 1 (d) 2n – 1

11. Common difference of an A.P. is -2 and first term is 80. Find the sum if last term is 10.

(a) 1600 (b) 1620 (c) 1650 (d) 1700

12. Find the sum of first 30 terms of an A. P. whose nth term is 2 + 1/2n

(a) 292.5 (b) 290.5 (c) 192.5 (d) none of these

13. Find 15th term of -10, -5, 0, 5, ------

(a) 55 (b) 60 (c) 65 (d) none of these

14. If the numbers a, b, c, d, e form an AP, then the value of a - 4b + 6c - 4d + e is

(a) 1 (b) 2 (c) 0 (d) none of these

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