# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad (SOF) Class 10): Questions 28 - 33 of 82

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## Question number: 28

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The value of k for which the system of equations has a non-zero solution, is ________

### Choices

Choice (4) Response

a.

9

b.

3

c.

5

d.

4

## Question number: 29

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The denominators of a rational number is greater than its numerator by 4. If 4 is subtracted from the numerator and 6 is added to the denominator, the new number becomes. Then the original number was ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 30

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Which of the following system of equations has no solution?

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 31

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

For how many values of k does the following system of equations have at least one solution?

### Choices

Choice (4) Response

a.

8

b.

7

c.

3

d.

2

## Question number: 32

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

At the end of the year 2012, Samrat was half old as his grandpa. The sum of the years in which they were born is 3964. Age of Samrat at the end of year 2013 is ________

### Choices

Choice (4) Response

a.

51 years

b.

41 years

c.

21 years

d.

31 years

## Question number: 33

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

At the end of the year 2015, Sujal was tierce old as his grandpa. The sum of the years in which they were born is 3930. Age of Sujal at the end of year 2016 is ________

### Choices

Choice (4) Response

a.

45 years

b.

51 years

c.

26 years

d.

60 years

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