# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 191 - 197 of 968

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## Question number: 191

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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 88. If the digits of the number differ by 6, then numbers are ________

### Choices

Choice (4)Response

a.

43,34

b.

71,17

c.

41,14

d.

65,56

## Question number: 192

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MCQ▾

### Question

If are two numbers such that . Then are the roots of the quadratic equation ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 193

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MCQ▾

### Question

The sum of the reciprocals of the roots of the equation is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 194

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MCQ▾

### Question

Places and are 300 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 15 hours and if they go in opposite directions they meet in hours. The speed of the cars are ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 195

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MCQ▾

### Question

The solution of the system of equations and , is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 196

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MCQ▾

### Question

If the sum of the squares of zeroes of the polynomial is , find the value of k

### Choices

Choice (4)Response

a.

4

b.

-4

c.

-3

d.

3

## Question number: 197

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MCQ▾

### Question

The value of k for which the system of equations , has infinite number of solutions, is ________

### Choices

Choice (4)Response

a.

0

b.

7

c.

6

d.

2

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