# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad (SOF) Class 10): Questions 75 - 80 of 82

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## Question number: 75

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

3

b.

2

c.

1

d.

4

## Question number: 76

» Pair of Linear Equations in Two Variables

MCQ▾

### 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: 77

» 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: 78

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The sum of two numbers is 7 and the sum of their squares is 29. The numbers are ________

### Choices

Choice (4) Response

a.

9 and 6

b.

2 and 5

c.

1 and 2

d.

8 and 5

## Question number: 79

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The equations representing the given graph is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 80

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

A boat goes 20 km upstream and 33 km downstream in 10 hours. In 13 hours, it can go 30 km upstream and 44 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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