# IMO- Mathematics Olympiad Class 10: Questions 136 - 142 of 958

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## Question number: 136

MCQ▾

### Question

Value of x in pair of linear equations is ________

### Choices

Choice (4) Response

a.

4

b.

5

c.

3

d.

7

## Question number: 137

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

16.5

b.

17.4

c.

14.4

d.

13.4

## Question number: 138

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: 139

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

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: 141

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: 142

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

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