# IMO- Mathematics Olympiad Class 10: Questions 282 - 286 of 958

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## Question number: 282

MCQ▾

### Question

In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’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 5 and 9.

2. Another one committed an error in the coefficient of x and he got the roots as 12 and 4

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 number: 283

MCQ▾

### Question

Which of the statements given below is correct. If discriminant for equation is D________

### Choices

Choice (4) Response

a.

b.

Not determined

c.

d.

## Question number: 284

MCQ▾

### Question

If , then is equal to ________

### Choices

Choice (4) Response

a.

5

b.

c.

0

d.

## Question number: 285

MCQ▾

### Question

Which of the statements given below is correct. If discriminant for equation is D________

### Choices

Choice (4) Response

a.

b.

c.

d.

D is not defined

## Question number: 286

MCQ▾

### Question

The expression is divisible by. Then m is a divisor of ________

### Choices

Choice (4) Response

a.

54

b.

20

c.

45

d.

40

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