Chapter 5 Arithmetic Progressions- MCQ Online Test 2 Class 10 Maths
1. Find the 10th term of an A.P. 2, 7, 12…?
a. 55
b. 47
c. 28
d. 36
2. Find the number of two digit numbers divisible by 3?
a. 35
b. 30
c. 26
d. 29
3. If the second term of an AP is 13 and its fifth term is 25, then find its 7th term?
a. 40
b. 33
c. 52
d. 43
4. The nth term of an AP is 7 – 4n, then find its common difference?
a. -3
b. 2
c. -4
d. 5
5. If a1= 4 and an= 4 an-1 + 3, n>1, then find the value of a4?
a. 319
b. 256
c. 335
d. 360
6. The 9th term of an A.P. is 499 and the 499th term is 9. Find the term which is equal to zero?
a. 450th term
b. 360th term
c. 562th term
d. 507th term
7. In an AP, if a = 4, n = 7 and an= 4, then find the value of ‘d’?
a. 2
b. 0
c. 3
d. 5
8. In an AP, if a = 3.5, d = 0 and n = 101, then find value of an?
a. 3.5
b. 5
c. 4.8
d. 2.8
9. The sum of three terms of an A.P. is 72, then find its middle term?
a. 30
b. 24
c. 45
d. 80
10. Which term of the A.P. 21, 18, 15………is – 81?
a. 40
b. 56
c. 35
d. 42
Chapter - 5 Arithmetic Progressions Quiz-2 | Math Class 10th
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Question 1 of 10
1. Question
Find the 10th term of an A.P. 2, 7, 12…?
Correct
Here a = 2, d = 7−2 = 5 and n=10
∴an = a + (n−1) d
a10 = 2 + (10−1) × (5)
= 2 + 9 × (5)
a10 = 2 + 45 = 47Incorrect
Here a = 2, d = 7−2 = 5 and n=10
∴an = a + (n−1) d
a10 = 2 + (10−1) × (5)
= 2 + 9 × (5)
a10 = 2 + 45 = 47 -
Question 2 of 10
2. Question
Find the number of two digit numbers divisible by 3?
Correct
The two digit numbers divisible by 3 are
12, 15, 18… 99
Here, a = 12, d = 15 – 12 = 3 and an= 99
∴ an= a + (n−1) d99 = 12 + (n−1) × 3
= 12 + (n−1) × 3
87 = (n−1) × 3
n – 1 = 29
n = 30Incorrect
The two digit numbers divisible by 3 are
12, 15, 18… 99
Here, a = 12, d = 15 – 12 = 3 and an= 99
∴ an= a + (n−1) d99 = 12 + (n−1) × 3
= 12 + (n−1) × 3
87 = (n−1) × 3
n – 1 = 29
n = 30 -
Question 3 of 10
3. Question
If the second term of an AP is 13 and its fifth term is 25, then find its 7th term?
Correct
Given: =13
a + (2−1) d = 13
a + d = 13 …….. (i)
And a 5 = 25
a + (5−1) d = 25
a + 4d = 25……..(ii)
Solving eq. (i) and (ii),We get a = 9 and d = 4
∴ a 7 = a + (7−1) d9 + (7−1) × 4
9 + 6 X 4
9 + 24 = 33
Incorrect
Given: =13
a + (2−1) d = 13
a + d = 13 …….. (i)
And a 5 = 25
a + (5−1) d = 25
a + 4d = 25……..(ii)
Solving eq. (i) and (ii),We get a = 9 and d = 4
∴ a 7 = a + (7−1) d9 + (7−1) × 4
9 + 6 X 4
9 + 24 = 33
-
Question 4 of 10
4. Question
The nth term of an AP is 7 – 4n, then find its common difference?
Correct
Given: an =7 −4n
∴a1 = 7 – 4 × 1 = 7 – 4 = 3
a2 = 7 – 4 × 2 = 7 – 8 = −1
∴ d = −1−3 = −4Incorrect
Given: an =7 −4n
∴a1 = 7 – 4 × 1 = 7 – 4 = 3
a2 = 7 – 4 × 2 = 7 – 8 = −1
∴ d = −1−3 = −4 -
Question 5 of 10
5. Question
If a1= 4 and an= 4 an + 3, n>1, then find the value of a4?
Correct
Incorrect
-
Question 6 of 10
6. Question
The 9th term of an A.P. is 499 and the 499th term is 9. Find the term which is equal to zero?
Correct
Incorrect
-
Question 7 of 10
7. Question
In an AP, if a = 4, n = 7 and an= 4, then find the value of ‘d’?
Correct
Given: a = 4, n = 7 and an= 4, then
an = a + (n−1) d
4 = 4 + (7−1) d
4 – 4 = 6d
6d = 0
d = 0Incorrect
Given: a = 4, n = 7 and an= 4, then
an = a + (n−1) d
4 = 4 + (7−1) d
4 – 4 = 6d
6d = 0
d = 0 -
Question 8 of 10
8. Question
In an AP, if a = 3.5, d = 0 and n = 101, then find value of an?
Correct
Given: a = 3.5, d = 0 and n = 101, then
an = a + (n−1) d
= 3.5 + (101−1) × 0= 3.5 + 0 = 3.5
Incorrect
Given: a = 3.5, d = 0 and n = 101, then
an = a + (n−1) d
= 3.5 + (101−1) × 0= 3.5 + 0 = 3.5
-
Question 9 of 10
9. Question
The sum of three terms of an A.P. is 72, then find its middle term?
Correct
Let the middle term be a, then first term is a−d and next term is a + d
∴a − d + a + a + d = 72
3a = 72
a = 24Incorrect
Let the middle term be a, then first term is a−d and next term is a + d
∴a − d + a + a + d = 72
3a = 72
a = 24 -
Question 10 of 10
10. Question
Which term of the A.P. 21, 18, 15………is – 81?
Correct
Incorrect