IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 632 - 638 of 968

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Question 632

Question

MCQ▾

If , then is equal to ________

Choices

Choice (4)Response

a.

1553

b.

1353

c.

1323

d.

1243

Question 633

Question

MCQ▾

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.

110

b.

112

c.

114

d.

116

Question 634

Question

MCQ▾

In an A. P. , the sum of first n terms is , find its term

Choices

Choice (4)Response

a.

126

b.

178

c.

179

d.

175

Question 635

Question

MCQ▾

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

Choices

Choice (4)Response

a.

2,32, 183

b.

2,22, 183

c.

1,22, 183

d.

2,12, 193

Question 636

Question

MCQ▾

The value of is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question 637

Question

MCQ▾

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.

66

b.

76

c.

46

d.

96

Question 638

Question

MCQ▾

Six numbers are inserted between the numbers 6 and 97 such that an A. P. results. Find the seventh numbers.

Choices

Choice (4)Response

a.

84

b.

48

c.

89

d.

98