IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 324 - 329 of 968

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Question 324

Question

MCQ▾

If the sum of three consecutive terms of an increasing A. P. is 51 and the product of the first and third of these terms is 273, then the third term is ________

Choices

Choice (4)Response

a.

21

b.

13

c.

17

d.

9

Question 325

Question

MCQ▾

Between the numbers 4 and 40,18 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________

Choices

Choice (4)Response

a.

881

b.

836

c.

526

d.

603

Question 326

Question

MCQ▾

The number of terms common between the two series Up to 20 terms and the series up to 30 terms is ________

Choices

Choice (4)Response

a.

10

b.

17

c.

18

d.

16

Question 327

Question

MCQ▾

A number 144 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.

Choices

Choice (4)Response

a.

56

b.

48

c.

46

d.

54

Question 328

Question

MCQ▾

Between the numbers 2 and 20,8 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________

Choices

Choice (4)Response

a.

176

b.

88

c.

60

d.

44

Question 329

Question

MCQ▾

Between the numbers 6 and 60,28 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________

Choices

Choice (4)Response

a.

1526

b.

1881

c.

1914

d.

1836