**Class X Math**

MCQ for Arithmetic Progressions

**1.** Which of the following is the once of a rhombus?

**1.** The first and last term of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be

**2.** If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is

(a) 13

(b) 9

(c) 21

(d) 17

**3.** If 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term is

(a) 87

(b) 88

(c) 89

(d) 90

**4.** If the first, second and last term of an A.P. are *a*, *b* and 2*a* respectively, its sum is

**5.** If the sum of *n* terms of an A.P. is then its *n*th term is

(a) 4*n* – 3

(b) 3*n* – 4

(c) 4*n* + 3

(d) 3*n* + 4

**6.** If 3 times the third term of an A.P. is equal to 5 times the fifth term. Then its 8th term is

**7.** In an A.P., *a*_{m+n} + *a*_{m-n} is equal to

(a) 0

(b) 1

(c) 2*a*_{m}

(d) *a*_{m}

**8.** If

*p*th term of an A.P.

is and qth term is

then the sum of

*pq* terms is

**9.** If the sum of first *n* even natural number is equal to *k* times the sum of first *n* odd natural number then value of *k *will be

**10.** If in an A.P., *S*_{n} = n^{2} p, S_{m} = m^{2} p and *S*_{r} denotes the sum of *r* terms of the A.P., then is equal to

**11.** The number of terms of an A.P. 3, 7, 11, 15... to be taken so that the sum is 406 is

(a) 5

(b) 10

(c) 12

(d) 14

**12.** Sum of

*n* terms of the series

**13.** The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is

(a) 508th

(b) 502th

(c) 501th

(d) none of these

**14.** If the sum of *p* terms of an A.P. is *q* and the sum of *q* terms is *p*, then the sum of (*p* + *q*) terms will be

(a) *p* + *q*

(b) –(*p* + *q*)

(c) *p* – *q*

(d) 0

**15.** If are in A.P. then the value of *x* is

**16.** If sum of *n* terms of an A.P. is then common difference of the A.P. is

**17.** Sum of first *n* natural number is

**18.** If *n*th terms of the APs 63, 65, 67, ... and 3, 10, 17, ... are equal, then *n* is

(a) 27

(b) 23

(c) 15

(d) 13

**19.** If

*p*th term of an A.P.

is then sum of first

*n* terms of A.P. is

**20.** Sum of all natural numbers lying between 250 and 1000 which are exactly divisible by 3 is

(a) 157365

(b) 153657

(c) 156375

(d) 155637