# IMO- Mathematics Olympiad Class 10: Questions 103 - 108 of 958

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## Question number: 103

MCQ▾

### Question

A pair of linear equations in two variables x and y is and, such that , then it has ________.

### Choices

Choice (4) Response

a.

Unique solution

b.

Can’t say

c.

No solution

d.

Infinitely many solutions

## Question number: 104

MCQ▾

### Question

The digit at the ten’s place of a two digit number is twice the digit at the unit’s place. If the sum of this number and the number formed by reversing the digits is 165, find the number.

### Choices

Choice (4) Response

a.

63

b.

24

c.

105

d.

52

## Question number: 105

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: 106

MCQ▾

### Question

The difference of roots of the quadratic equation is ________

### Choices

Choice (4) Response

a.

9

b.

-9

c.

10

d.

-10

## Question number: 107

MCQ▾

### Question

Degree of polynomial is ________

### Choices

Choice (4) Response

a.

3

b.

1

c.

4

d.

6

## Question number: 108

MCQ▾

### Question

The value of k for which the system of equations has a non-zero solution, is ________

### Choices

Choice (4) Response

a.

2

b.

0

c.

6

d.

8

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