Arithmetic Progressions [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 53 - 59 of 92

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Question 53

Question MCQ▾

A number 196 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.

70

b.

28

c.

42

d.

56

Edit

Question 54

Question MCQ▾

If , then is equal to ________

Choices

Choice (4)Response

a.

1428

b.

1128

c.

1228

d.

1328

Edit

Question 55

Question MCQ▾

Find the sum of all three-digit natural numbers, which on being divided by 4, leave remainder equal to 2.

Choices

Choice (4)Response

a.

1,99, 270

b.

1,23, 525

c.

4,41, 680

d.

1,94, 780

Edit

Question 56

Question MCQ▾

If the sum of terms of an A. P. are respectively, then is ________

Choices

Choice (4)Response

a.

1

b.

2

c.

0

d.

3

Edit

Question 57

Question MCQ▾

Find the sum of all four-digit natural numbers, which on being divided by 20, leave remainder equal to 5.

Choices

Choice (4)Response

a.

69,65, 000

b.

32,23, 001

c.

24,70, 500

d.

60,27, 000

Edit

Question 58

Question MCQ▾

The value of is ________

Choices

Choice (4)Response

a.

97

b.

92

c.

99

d.

96

Edit

Question 59

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

Edit