Quiz Details
QZ-20251027-26522
Topics:
NCRT class 10 arithmetic progression
Difficulty:
Level 3 - Medium
Questions:
10
Generated:
October 27, 2025 at 10:15 AM
Generated by:
Guest User
Instructions: Select an answer for each question and click "Check Answer" to see if you're correct. Then view the explanation to learn more!
1 What is the common difference in the arithmetic progression (AP) 3, 7, 11, 15?
Correct Answer:
A
Explanation: The common difference is found by subtracting any term from the subsequent term: 7 - 3 = 4.
Explanation: The common difference is found by subtracting any term from the subsequent term: 7 - 3 = 4.
2 Which of the following sequences is an arithmetic progression?
Correct Answer:
B
Explanation: In an arithmetic progression, the difference between consecutive terms is constant; here, it's 5.
Explanation: In an arithmetic progression, the difference between consecutive terms is constant; here, it's 5.
3 If the first term of an AP is 2 and the common difference is 3, what is the 5th term?
Correct Answer:
D
Explanation: The nth term of an AP can be calculated using the formula: a_n = a + (n-1)d. Here, a_5 = 2 + (5-1)3 = 14.
Explanation: The nth term of an AP can be calculated using the formula: a_n = a + (n-1)d. Here, a_5 = 2 + (5-1)3 = 14.
4 What is the sum of the first 10 terms of the AP: 4, 8, 12, ...?
Correct Answer:
B
Explanation: The sum of the first n terms of an AP is given by S_n = n/2 * (2a + (n-1)d). Here, S_10 = 10/2 * (2*4 + 9*4) = 240.
Explanation: The sum of the first n terms of an AP is given by S_n = n/2 * (2a + (n-1)d). Here, S_10 = 10/2 * (2*4 + 9*4) = 240.
5 In an arithmetic progression, if the 3rd term is 12 and the 7th term is 24, what is the common difference?
Correct Answer:
A
Explanation: Let the first term be a and the common difference be d. Then, a + 2d = 12 and a + 6d = 24. Solving these gives d = 3.
Explanation: Let the first term be a and the common difference be d. Then, a + 2d = 12 and a + 6d = 24. Solving these gives d = 3.
6 How many terms are there in the AP 5, 11, 17, ..., 59?
Correct Answer:
C
Explanation: The nth term can be found using a_n = a + (n-1)d. Setting 59 = 5 + (n-1)6, we find n = 11.
Explanation: The nth term can be found using a_n = a + (n-1)d. Setting 59 = 5 + (n-1)6, we find n = 11.
7 What is the 10th term of the AP where the first term is 1 and the common difference is 5?
Correct Answer:
B
Explanation: Using the formula a_n = a + (n-1)d, we get a_10 = 1 + (10-1)5 = 51.
Explanation: Using the formula a_n = a + (n-1)d, we get a_10 = 1 + (10-1)5 = 51.
8 Which term of the AP 7, 10, 13, ... will be 31?
Correct Answer:
C
Explanation: Setting 31 = 7 + (n-1)3 and solving for n gives n = 9.
Explanation: Setting 31 = 7 + (n-1)3 and solving for n gives n = 9.
9 If the first term of an AP is 10 and the common difference is -2, what is the 6th term?
Correct Answer:
A
Explanation: Using the formula a_n = a + (n-1)d, we get a_6 = 10 + (6-1)(-2) = 0.
Explanation: Using the formula a_n = a + (n-1)d, we get a_6 = 10 + (6-1)(-2) = 0.
10 What is the sum of the first n terms of the arithmetic progression 2, 5, 8, 11?
Correct Answer:
C
Explanation: The first term (a) is 2 and the common difference (d) is 3. Therefore, the sum formula is S_n = n/2 * (2a + (n-1)d).
Explanation: The first term (a) is 2 and the common difference (d) is 3. Therefore, the sum formula is S_n = n/2 * (2a + (n-1)d).