# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 111 - 116 of 968

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## Question number: 111

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

4

b.

6

c.

8

d.

7

## Question number: 112

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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

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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.

6

c.

-5

d.

5

## Question number: 114

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MCQ▾

### Question

If be the zeroes of the quadratic polynomial, then the value of =________

### Choices

Choice (4) Response

a.

4

b.

-1

c.

-2

d.

1

## Question number: 115

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MCQ▾

### Question

If a and b are the roots of the equation, then the equation if the roots are ?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 116

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MCQ▾

### Question

If a and b are the roots of the quadratic equation with the condition , then the value of ‘p’ is ________

### Choices

Choice (4) Response

a.

1

b.

-7

c.

7 or -7

d.

7