# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 275 - 282 of 968

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## Question number: 275

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MCQ▾

### Question

Two numbers whose sum is 6 and absolute value of whose difference is 8 are the roots of the equation ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 276

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### Question

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

### Choices

Choice (4)Response

a.

20

b.

12

c.

16

d.

4

## Question number: 277

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### Question

The roots of the equation can be found by solving ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 278

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### Question

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 279

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### Question

In the equation , the sum of the roots is 4 and the product of the roots is . Then h and k respectively, have the values ________

### Choices

Choice (4)Response

a.

4 and -3

b.

8 and -3

c.

8 and 6

d.

-3 and 8

## Question number: 280

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### Question

Find the value of ‘k’ if product of roots of is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 281

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MCQ▾

### Question

If have a common root, then the value of ‘a’ is ________

### Choices

Choice (4)Response

a.

b.

c.

Only 1

d.

## Question number: 282

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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.

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