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.

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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

Edit

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.

Edit

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.

Edit

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.

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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

Edit

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

Edit