# IMO- Mathematics Olympiad Class 10: Questions 631 - 637 of 958

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## Question number: 631

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.

b.

c.

d.

## Question number: 632

MCQ▾

### Question

If , then is equal to ________

### Choices

Choice (4) Response

a.

1323

b.

1353

c.

1553

d.

1243

## Question number: 633

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: 634

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

126

b.

175

c.

179

d.

178

## Question number: 635

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: 636

MCQ▾

### Question

The value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 637

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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