# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 20 - 25 of 82

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## 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.

## Question number: 22

» 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.

## Question number: 23

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 66. If the digits of the number differ by 4, then numbers are ________

### Choices

Choice (4) Response

a.

98, 89

b.

73, 37

c.

91, 19

d.

51, 15

## Question number: 24

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The value of k for which the system of equations has no solution, is ________

### Choices

Choice (4) Response

a.

2

b.

8

c.

1

d.

9

## Question number: 25

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Arun and Prabhat have some books with them. Once Prabhat said to Arun that if Arun gives 3 books to Prabhat then Arun will have only of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is ________

### Choices

Choice (4) Response

a.

Can’t be determined

b.

25

c.

56

d.

30

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