# IMO- Mathematics Olympiad Class 10: Questions 184 - 188 of 958

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## Question number: 184

MCQ▾

### Question

For how many values of k does the following system of equations have at least one solution?

### Choices

Choice (4) Response

a.

2

b.

0

c.

1

d.

Infinitely many

## Question number: 185

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 10 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: 186

MCQ▾

### Question

The number of values of k for which the system of equations has atleast one solution is ________

### Choices

Choice (4) Response

a.

3

b.

0

c.

1

d.

2

## Question number: 187

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 188

MCQ▾

### Question

For to be a factor of, the value of p and q should respectively be ________

### Choices

Choice (4) Response

a.

2, 5

b.

5, 2

c.

6, 25

d.

5, 25

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