# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad (SOF) Class 10): Questions 6 - 10 of 82

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## Question number: 6

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes. Then the original number was ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 7

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The denominators of a rational number is greater than its numerator by 10. If 5 is subtracted from the numerator and 3 is added to the denominator, the new number becomes. Then the original number was ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 8

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The denominators of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes . Then the original number was ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 9

» 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: 10

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

A pair of linear equations in two variables x and y is and, such that , then it has ________.

### Choices

Choice (4) Response

a.

Unique solution

b.

Can’t say

c.

No solution

d.

Infinitely many solutions

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