# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 261 - 268 of 968

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## Question 261

### Question

MCQ▾

If one roots of is 3 times the other; the value of p is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 262

### Question

MCQ▾

A convex polygon has 77 diagonals. The number of its sides is ________

### Choices

Choice (4)Response

a.

8

b.

3

c.

14

d.

11

## Question 263

### Question

MCQ▾

The square of a number is decreased by 24. This value is twice the original number. Then the number is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 264

### Question

MCQ▾

In the equation , the sum of the roots is 3 and the product of the roots is 25. Then h and k respectively, have the values ________

### Choices

Choice (4)Response

a.

9 and 5

b.

-9 and 5

c.

9 and -5

d.

-9 and -5

## Question 265

### Question

MCQ▾

If one roots of is twice the other root, and then the value of ‘b’ is ________

### Choices

Choice (4)Response

a.

9

b.

3

c.

d.

-9

## Question 266

### Question

MCQ▾

Solve the equation by using quadratic formula, then x is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 267

### Question

MCQ▾

A convex polygon has 90 diagonals. The number of its sides is ________

### Choices

Choice (4)Response

a.

15

b.

10

c.

19

d.

14

## Question 268

### Question

MCQ▾

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 4 and 5. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are

### Choices

Choice (4)Response

a.

b.

c.

5,4

d.