# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 135 - 141 of 968

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## Question number: 135

Edit
MCQ▾

### Question

Which of the following system of equations has unique solution?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 136

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MCQ▾

### Question

Value of x in pair of linear equations is ________

### Choices

Choice (4) Response

a.

7

b.

5

c.

3

d.

4

## Question number: 137

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MCQ▾

### Question

The roots of the quadratic equation are in the ratio , then k equals ________

### Choices

Choice (4) Response

a.

17.4

b.

16.5

c.

14.4

d.

13.4

## Question number: 138

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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.

4

c.

3

d.

5

## Question number: 139

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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: 140

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MCQ▾

### Question

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 number: 141

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MCQ▾

### Question

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