# IMO- Mathematics Olympiad Class 10: Questions 247 - 250 of 958

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## Question number: 247

MCQ▾

### Question

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.

9, 1

b.

c.

d.

## Question number: 248

MCQ▾

### Question

The roots of the equation can be found by solving ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 249

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

20

b.

40

c.

50

d.

30

## Question number: 250

MCQ▾

### Question

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.

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