# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad (SOF) Class 10): Questions 57 - 61 of 82

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## Question number: 57

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Places and are 300 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 15 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: 58

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The solution of the system of equations and, is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 59

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The value of k for which the system of equations, has infinite number of solutions, is ________

### Choices

Choice (4) Response

a.

6

b.

2

c.

7

d.

0

## Question number: 60

» Pair of Linear Equations in Two Variables

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: 61

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Value of x in pair of linear equations is ________

### Choices

Choice (4) Response

a.

2

b.

4

c.

1

d.

3

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