# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad (SOF) Class 10): Questions 17 - 21 of 82

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## Question number: 17

» 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.

13

b.

9

c.

16

d.

6

## Question number: 18

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The denominators of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 10 is added to the denominator, the new number becomes. Then the original number was ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 19

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Bhavesh and Mihir have some books with them. Once Mihir said to Bhavesh that if Bhavesh gives 5 books to Mihir then Bhavesh will have only of the books that Mihir will have with him. Then Bhavesh asked frankly that if Mihir gives him only five books (to Bhavesh), then Mihir will have as many books as Bhavesh will have. The total number of books that Bhavesh and Mihir have with them is ________

### Choices

Choice (4) Response

a.

23

b.

8

c.

34

d.

10

## Question number: 20

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

If , then the system of equations ________

### Choices

Choice (4) Response

a.

May or may not have a solution

b.

Has a unique solution

c.

Has infinitely many solutions

d.

Has no solution

## Question number: 21

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Solve for x and y in the following question:

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page