Arithmetic Progressions [UIMO (Unified Int. Mathematics Olympiad) Class 10]: Questions 1 - 7 of 23
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Question 1
Appeared in Year: 2017
Question MCQ▾
In an arithmetic progression there are ‘n’ terms between a and b. What is their common difference?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 2
Appeared in Year: 2021
Question MCQ▾
In an arithmetic progression, the fourth term is 8 and the sum of 12 terms is 156. Find the value of p if the pth term is 200.
Choices
Choice (4) | Response | |
---|---|---|
a. | 100 | |
b. | 30 | |
c. | 80 | |
d. | 50 |
Question 3
Appeared in Year: 2018
Question MCQ▾
Arithmetic mean of n observations is m. If two observations 0 and m are added, what is the new mean?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | m | |
c. | ||
d. |
Question 4
Appeared in Year: 2018
Question MCQ▾
What is the nth term of an A. P. whose sum to ‘n’ terms is ?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 5
Appeared in Year: 2020
Question MCQ▾
If m & n are the zeros of and then find a + b.
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | 7 | |
d. |
Question 6
Appeared in Year: 2018
Question MCQ▾
The sum of the first 10 terms of an AP is four times the sum of its first 5 terms. Find the ratio of the first term to the common difference.
Choices
Choice (4) | Response | |
---|---|---|
a. | 1: 2 | |
b. | 2: 1 | |
c. | 1: 4 | |
d. | 4: 1 |
Question 7
Appeared in Year: 2018
Question MCQ▾
Find the sum of the numbers in between 1 and 1000 which are divisible by 9.
Choices
Choice (4) | Response | |
---|---|---|
a. | 54954 | |
b. | 99894 | |
c. | 99994 | |
d. | 55944 |