# IMO- Mathematics Olympiad Class 10: Questions 645 - 650 of 958

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 958 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

## Question number: 645

MCQ▾

### Question

If up to n terms and n is even, then S equals________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 646

MCQ▾

### Question

Let denotes the sum of n terms of an A. P. , whose first term is a. if the common difference d is given by then K is equal to ________ ________

### Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

3

## Question number: 647

MCQ▾

### Question

Product of the fourth term and the fifth term of an arithmetic progression is 594. Division of the ninth term by the fourth term of the progression gives quotient as 2 and the remainder as 3. Find the first term of the progression

### Choices

Choice (4) Response

a.

9

b.

6

c.

4

d.

7

## Question number: 648

MCQ▾

### Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 81, and except for the sixth term, 55. Find the third term of the progression if the sum of the first and the fifth term is equal to 12.

### Choices

Choice (4) Response

a.

5

b.

15

c.

10

d.

8

## Question number: 649

MCQ▾

### Question

If a, b, c are in A. P, then is equal to ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 650

MCQ▾

### Question

If in a certain language CHARCOAL is coded as 32143516 and MORALE is coded as 754168, then the REAL code is ________

### Choices

Choice (4) Response

a.

4862

b.

1648

c.

4816

d.

6216

f Page