# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 187 - 192 of 968

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## Question number: 187

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### Question

If are the roots of the equation, then the equation whose roots are and is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 188

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### Question

For to be a factor of, the value of p and q should respectively be ________

### Choices

Choice (4) Response

a.

5,25

b.

5,2

c.

6,25

d.

2,5

## Question number: 189

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### Question

When is divided by, the quotient and remainder is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 190

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### Question

A boat goes 40 km upstream and 55 km downstream in 20 hours. In 23 hours, it can go 50 km upstream and 66 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 191

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### 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.