# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 223 - 229 of 968

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## Question number: 223

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### Question

When is divided by , the quotient and remainder is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 224

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### Question

If are the roots of the equations , then the value of is ________

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Choice (4)Response

a.

b.

c.

d.

## Question number: 225

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### Question

If are the roots of the equation , then the quadratic equation whose roots are and is ________

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Choice (4)Response

a.

b.

c.

d.

## Question number: 226

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### Question

Quadratic polynomial having sum of its zeroes 5 and product of its zeroes -14 is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 227

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### Question

The value of k, for which the system of equations represent parallel lines is ________

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Choice (4)Response

a.

2

b.

3

c.

1

d.

4

## Question number: 228

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### Question

Places and are 250 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 5 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 229

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### Question

The sum of the reciprocals of the roots of the equation is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

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