IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 626 - 631 of 968

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Question 626

Question

MCQ▾

The value of is ________

Choices

Choice (4)Response

a.

97

b.

92

c.

99

d.

96

Question 627

Question

MCQ▾

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 126, and except for the sixth term, 62. Find the third term of the progression if the sum of the first and the fifth term is equal to 16.

Choices

Choice (4)Response

a.

9

b.

7

c.

8

d.

3

Question 628

Question

MCQ▾

The sum of the first term and the fifth term of an ascending A. P. is 30 and the product of the second term by the fourth term is 200. Find the sum of the first seven terms of this A. P

Choices

Choice (4)Response

a.

130

b.

190

c.

140

d.

160

Question 629

Question

MCQ▾

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 99, and except for the sixth term, 89. Find the third term of the progression if the sum of the first and the fifth term is equal to 10.

Choices

Choice (4)Response

a.

10

b.

8

c.

5

d.

15

Question 630

Question

MCQ▾

If the term of an A. P. is and term is , then the sum of first terms is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question 631

Question

MCQ▾

If four numbers are in A. P. such that their sum is 20 and the greatest number is 2 times the least, then the numbers are ________

Choices

Choice (4)Response

a.

b.

c.

d.