# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 175 - 181 of 968

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## Question number: 175

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MCQ▾

### Question

The value of k for which the system of equations has a unique solution, is ________

### Choices

Choice (4) Response

a.

= 2

b.

c.

= 1

d.

## Question number: 176

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MCQ▾

### Question

The sum of two numbers is 20 and the sum of their squares is 40. The numbers are ________

### Choices

Choice (4) Response

a.

14 and 25

b.

12 and 15

c.

12 and 17

d.

13 and 16

## Question number: 177

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MCQ▾

### Question

If one of the zero of the quadratic polynomial is then value of k is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 178

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MCQ▾

### Question

A cubic polynomial with the sum of its zeroes, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively, is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 179

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MCQ▾

### Question

If are the zeroes of the polynomial , then a polynomial having as its zeroes is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 180

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MCQ▾

### Question

Solve for x and y in the following question:

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 181

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MCQ▾

### Question

If are the roots of the equation , then what is the quadratic equation whose roots are

### Choices

Choice (4) Response

a.

b.

c.

d.