# IMO- Mathematics Olympiad Class 10: Questions 189 - 193 of 958

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## Question number: 189

MCQ▾

### Question

When is divided by, the quotient and remainder is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 190

MCQ▾

### 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

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.

65, 56

b.

71, 17

c.

43, 34

d.

41, 14

## Question number: 192

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

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

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