# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 223 - 230 of 968

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## Question 223

### Question

MCQ▾

When is divided by , the quotient and remainder is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 224

### Question

MCQ▾

If are the roots of the equations , then the value of is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 225

### Question

MCQ▾

If are the roots of the equation , then the quadratic equation whose roots are and is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 226

### Question

MCQ▾

Quadratic polynomial having sum of its zeroes 5 and product of its zeroes -14 is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 227

### Question

MCQ▾

The value of k, for which the system of equations represent parallel lines is ________

### Choices

Choice (4)Response

a.

2

b.

3

c.

1

d.

4

## Question 228

### Question

MCQ▾

Places and are 250 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 5 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 229

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 230

### Question

MCQ▾

If 1 is one of the zeroes of polynomials , and then the value of k is ________

### Choices

Choice (4)Response

a.

0

b.

-2

c.

2

d.

4