# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 138 - 143 of 968

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## Question 138

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

9

b.

4

c.

3

d.

5

## Question 139

### Question

MCQ▾

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 140

### Question

MCQ▾

Which of the following system of equations has no solution?

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question 141

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

3

b.

7

c.

2

d.

8

## Question 142

### Question

MCQ▾

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 143

### Question

MCQ▾

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.

60 years

c.

51 years

d.

26 years