# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 198 - 204 of 968

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## Question number: 198

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MCQ▾

### Question

Places and are 400 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 2 hours and if they go in opposite directions they meet in hours. The speed of the cars are ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 199

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MCQ▾

### Question

Value of x in pair of linear equations is ________

### Choices

Choice (4)Response

a.

1

b.

3

c.

4

d.

2

## Question number: 200

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MCQ▾

### Question

If a and b are the roots of the quadratic equation with the condition , then the value of ‘q’ is ________

### Choices

Choice (4)Response

a.

6

b.

6 or -6

c.

5 or -5

d.

5

## Question number: 201

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MCQ▾

### Question

Which of the following system of equations has infinitely many solutions?

### Choices

Choice (4)Response

a.

b.

c.

d.

All a. , b. and c. are correct

## Question number: 202

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MCQ▾

### Question

The sum of two numbers is 9 and the sum of their squares is 41. The numbers are ________

### Choices

Choice (4)Response

a.

1 and 8

b.

2 and 7

c.

3 and 6

d.

4 and 5

## Question number: 203

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MCQ▾

### Question

Quadratic polynomial having sum of its zeroes and product of its zeroes 3 is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 204

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MCQ▾

### Question

The roots of the quadratic equation are in the ratio , then k equals ________

### Choices

Choice (4)Response

a.

-3

b.

13

c.

12

d.

1

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