CBSE Class 10 Mathematics Arithmetic Progression MCQs Set C

Question: The first term and the common difference of an arithmetic progression are 13 and 5 respectively. Find the sum from the 6th term to the 20^th term.
a) 876
b) 146
c) 1095
d) 1080
Answer: c

Question: Find the sum of the arithmetic progression, x - 2y, 2x - y,3x......11x + 8y .
a) 33(2x + y)
b) 22(2x + y)
c) 28(x + y)
d) 33x + 11y
Answer: a

Question: The 6th term of an arithmetic progression is 30 and the sum of the first six terms is 210. Find the sum of the next 6 consecutive terms.
a) 100
b) 50
c) 138
d) 204
Answer: c

Question: What is the sum of 36 terms of the series whose n^th term is 5n + 4?
a) 4347
b) 3474
c) 4374
d) 3447
Answer: b

Question: Find the sum of the first 18 terms, of the arithmetic progression 12b, 8b, 4b,......
a) 126b
b) -56b
c) 256b
d) - 288b
Answer: d

Question: The sum of first 16 terms of the AP: 10, 6, 2,... is
a) –320
b) 320
c) –352
d) –400
Answer: a

 Question: Find three numbers in arithmetic progression whose sum is 3 and product is- 35.
a) 1,5,7
b) -5,7,-1
c) -5,1,7
d) -7,5,-1
Answer: c

Question: A cineplex has 13 rows of seats with 10 seats in the first row, 12 in the second, 14 in the third and so on. What is the total number of seats in the cineplex?
a) 252
b) 256
c) 258
d) 286
Answer: d

Question: The first, second and last terms of an arithmetic progression are 5, 9 and 101 respectively. Find the number of terms in the arithmetic progression.
a) 30
b) 50
c) 25
d) 75
Answer: c 

Question: Given an arithmetic progression -10,-5, 0,..... Identify three consecutive terms of the progression whose sum is 90.
a) 26, 31, 36
b) 25, 30, 35
c) 20, 30, 40
d) 18, 23, 28
Answer: b

Question:Sulekha intends to read a 200 page book within a specific period-She starts by reading 11 pages on the first day and increases her rate of reading by reading an extra 2 pages for each subsequent day How long will she take to finish reading the book?
a) 20
b) 10
c) 15
d) 25
Answer: b

Question: A circle is divided into 18 sectors such that the angles subtended at the centre form an arithmetic progression. Given that the angle of the smallest sector is 11.5⁰, find the angle of the biggest sector.
a) 30⁰
b) 15.5⁰
c) 45⁰
d) 28.5⁰
Answer: d

Question: If the common difference of an AP is 5, then what is a₁₈ - a₁₃ ?
a) 5
b) 20
c) 25
d) 30
Answer: c

Question: The sum of first five multiples of 3 is
a) 45
b) 55
c) 65
d) 75
Answer: a

Question: If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?
a) 30
b) 33
c) 37
d) 38
Answer: b

Question: The first three terms of a sequence are 8, 'y' and 18. Find the positive value of 'y' so that the sequence is an arithmetic progression.
a) 26
b) 18
c) 12
d) 13
Answer: d 

Question: How many numbers between 100 and 1000 are divisible by 7?
a) 7
b) 128
c) 132
d) 127
Answer: b

Question: Given that the sum of the first 'n' terms of an arithmetic progression is 2n² + 3n, find the twelfth term.
a) 72
b) 36
c) √625
d) 56
Answer: a

Question: Find the sum from the sixth term to the twelfth term of the arithmetic progression 6, 10, 14, ....
a) 176
b) 232
c) 266
d) 184
Answer: c

Question: The first two terms of an arithmetic progression are 27 and 24 respectively. How many terms of the progression are to be added to get - 30?
a) 15
b) 20
c) 25
d) 18
Answer: b

Question: An arithmetic progression has 10 terms. The sum of the odd terms is 245 whereas the sum of the even terms is 305. Find the common difference.
a) 2
b) 7
c) 3
d) 1
Answer: d

Question: The sum of the first 10 terms of an arithmetic progression is four times the sum of its first five terms. Find the ratio of the first term to the common difference.
a) 1:4
b) 4:1
c) 2:1
d) 1:2
Answer: d

Question: The 21st term of the AP whose first two terms are –3 and 4 is
a) 17
b) 137
c) 143
d) –143
Answer: b

Question: Find the general term of the series 4, 7, 10, 13......
a) 3n - 7
b) 3n + 7
c) 3n +1
d) 3n – 1
Answer: c

One Word Questions :

Question: If a² = 5 and a³ = 9, then find t₅.
Answer: 17

Question: If the sum of first ‘n’ term of an A.P. is 3n² + 2n, then find its nth terms.
Answer: 6n – 1

Question: What is the difference between 3rd and 8th terms of the A.P? 3, 7, 11, 15, .......
Answer: 20

Question: Find 8th term of an A.P. whose 3rd term is –5 and common difference is 4.
Answer: 15

Question: The sum of n terms of a series is (n² + 2n) for all values of n. Find the 3rd term of the series.
Answer: 7

Question: If common difference of an A.P. is 5, find the difference of 15th and 11th terms.
Answer: 20

Question: Find the 10th term of the A.P. 117, 104, 91, 78, .......
Answer: 0

Question: Determine the sum of first 10 terms if an A.P. if t₂= 2 and t₇ = 22.
Answer: 160

Question: Find the sum of first 100 multiples of 5.
Answer: 25250

Question: What is the common difference of the A.P. formed by even numbers?
Answer: 2

Question: Which term of an A.P. 3, 7, 11, 15, ...... will be 20 more than its 6th term?
Answer: 11th

Question: First term of an A.P. is –2 and 10th term is 28. What is the value of d (common difference)
Answer: 10/3

Question: Find the sum of the A.P. 1 + 3 + 5 + 7 + ..... + 199.
Answer: 10,000

Question: For the A.P. –9, –14, –19, –24 find t₃₀ – t₂₀.
Answer: – 50

Question: Find the sum of 2 + 4 + 6 + ...... up to n terms.
Answer: n(n + 1)

Question: Find 4th term from the end of the A.P. –4, –1, 2, 5, 8, 11, 14, 17, 20, ........ 54.
Answer: 45

Question: How many multiples of 4 lies between 10 and 250?
Answer: 60

Question: The sum of series in A.P. is 128. If the first term is 2 and the last term is 14 find the number of terms of the series.
Answer: 16

Question: Find the common difference of the A.P. –1, 2, 5, 8, 11, .......
Answer: 3

Question: Find the A.P. if the 15th term is 10 more than the 13th term and first term is 5.
Answer: 5, 10, 15, .....

Question: Find the 16th term of an A.P. if a = 15, and d = –2
Answer: – 15

Question: Find the nth term of the A.P. 5, 2, –1, –4, –7, ....... .
Answer: 8 – 3n

Question: Find the value of k if the kth term of the A.P. –1, –3, –5, –7..... is –151.
Answer: 76

Question: A man saved Rs. 16,500 in 10 years. In each year after the first he saved Rs. 100 more than he did in the preceeding year. How much did he save in the first year?
Answer: Rs. 1200

Question: How many d’s will be added to get 29th term of an A.P. to the first term?
Answer: 28