# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 182 - 186 of 968

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## Question number: 182

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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 121. If the digits of the number differ by 5, then numbers are ________

### Choices

Choice (4) Response

a.

38,83

b.

42,24

c.

37,73

d.

62,26

## Question number: 183

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MCQ▾

### Question

At the end of the year 2002, Rahul was half old as his grandpa. The sum of the years in which they were born is 3824. Age of Rahul at the end of year 2003 is ________

### Choices

Choice (4) Response

a.

50 years

b.

61 years

c.

35 years

d.

36 years

## Question number: 184

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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.

2

b.

Infinitely many

c.

1

d.

0

## Question number: 185

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MCQ▾

### Question

Places and are 400 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 10 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 186

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MCQ▾

### Question

The number of values of k for which the system of equations has atleast one solution is ________

### Choices

Choice (4) Response

a.

1

b.

0

c.

3

d.

2