# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 134 - 139 of 968

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## Question number: 134

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MCQ▾

### Question

Arun and Prabhat have some books with them. Once Prabhat said to Arun that if Arun gives 3 books to Prabhat then Arun will have only of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is ________

### Choices

Choice (4)Response

a.

56

b.

30

c.

25

d.

Can’t be determined

## Question number: 135

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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.

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