Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 63 - 69 of 81

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Question number: 63

» Arithmetic Progressions

MCQ▾

Question

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.

43,103,1621,2223

b.

103,409,509,203

c.

13,17,21,45

d.

512,1031,1522,203

Question number: 64

» Arithmetic Progressions

MCQ▾

Question

If 0.457575757=ab , then a+b is equal to ________

Choices

Choice (4) Response

a.

1323

b.

1353

c.

1553

d.

1243

Question number: 65

» Arithmetic Progressions

MCQ▾

Question

The sum of the first term and the fifth term of an ascending A. P. is 26 and the product of the second term by the fourth term is 160. Find the sum of the first seven terms of this A. P

Choices

Choice (4) Response

a.

112

b.

114

c.

116

d.

110

Question number: 66

» Arithmetic Progressions

MCQ▾

Question

In an A. P. , the sum of first n terms is 5n22+7n2 , find its 25th term

Choices

Choice (4) Response

a.

126

b.

175

c.

179

d.

178

Question number: 67

» Arithmetic Progressions

MCQ▾

Question

Find the sum of all the integers between 100 and 2000 which are divisible by 9

Choices

Choice (4) Response

a.

1, 22, 183

b.

2, 12, 193

c.

2, 22, 183

d.

2, 32, 183

Question number: 68

» Arithmetic Progressions

MCQ▾

Question

The value of k=14(1)k+12k+1 is ________

Choices

Choice (4) Response

a.

123315

b.

167315

c.

223315

d.

167315

Question number: 69

» Arithmetic Progressions

MCQ▾

Question

Product of the fourth term and the fifth term of an arithmetic progression is 456. Division of the ninth term by the fourth term of the progression gives quotient as 11 and the remainder as 10. Find the first term of the progression

Choices

Choice (4) Response

a.

46

b.

66

c.

76

d.

96

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