# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 130 - 134 of 968

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## Question number: 130

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MCQ▾

### Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 66. If the digits of the number differ by 4, then numbers are ________

### Choices

Choice (4) Response

a.

98,89

b.

91,19

c.

51,15

d.

73,37

## Question number: 131

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MCQ▾

### Question

The value of k for which the system of equations has no solution, is ________

### Choices

Choice (4) Response

a.

1

b.

2

c.

9

d.

8

## Question number: 132

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MCQ▾

### Question

If are the zeroes of the polynomial, then is equal to ________

### Choices

Choice (4) Response

a.

1 + c

b.

c - 1

c.

c

d.

1 - c

## Question number: 133

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MCQ▾

### Question

If are the zeroes of the quadratic polynomial , then the value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## 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