# IMO- Mathematics Olympiad Class 10: Questions 109 - 113 of 958

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## Question number: 109

MCQ▾

### Question

When is divided by, the quotient and remainder is ________

### Choices

Choice (4) Response

a.

, -4

b.

c.

, 4

d.

## Question number: 110

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

1

b.

0

c.

3

d.

6

## Question number: 111

MCQ▾

### Question

If one zero of the polynomial is a reciprocal of the other, then p is equal to ________

### Choices

Choice (4) Response

a.

7

b.

4

c.

8

d.

6

## Question number: 112

MCQ▾

### Question

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 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: 113

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

6

b.

-5

c.

5

d.

-6

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