# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 247 - 251 of 968

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## Question 247

### Question

MCQ▾

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 2 and 8. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are

### Choices

Choice (4)Response

a.

b.

9,1

c.

d.

## Question 248

### Question

MCQ▾

The roots of the equation can be found by solving ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 249

### Question

MCQ▾

A convex polygon has 170 diagonals. The number of its sides is ________

### Choices

Choice (4)Response

a.

40

b.

50

c.

20

d.

30

## Question 250

### Question

MCQ▾

In the Maths Olympiad of 2016 at X Planet, two representatives from the Alex՚s side, while solving a quadratic equation, committed the following mistakes:

1. One of them made a mistake in the constant term and got the roots as 10 and 15.
2. Another one committed an error in the coefficient of x and he got the roots as -9 and 8

But in the meantime, they realized that they are wrong and they managed to get it right jointly. Find the quadratic equation.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 251

### Question

MCQ▾

In the equation , the sum of the roots is 6 and the product of the roots is 5. Then h and k respectively, have the values ________

### Choices

Choice (4)Response

a.

-42 and 7

b.

-31 and 8

c.

62 and 12

d.

18 and 4