# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 154 - 160 of 968

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## Question number: 154

Edit
MCQ▾

### Question

Which of the following system of equations has no solution?

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 155

Edit
MCQ▾

### Question

Quadratic polynomial having sum of its zeroes -10 and product of its zeroes 25 is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 156

Edit
MCQ▾

### Question

If the sum of the squares of zeroes of the polynomial is, find the value of k

### Choices

Choice (4) Response

a.

2

b.

-2

c.

4

d.

3

## Question number: 157

Edit
MCQ▾

### Question

The number of values of k for which the system of equations has atleast one solution is ________

### Choices

Choice (4) Response

a.

6

b.

-6

c.

9

d.

-9

## Question number: 158

Edit
MCQ▾

### Question

Every quadratic polynomial can have at the most ________

### Choices

Choice (4) Response

a.

Four zeroes

b.

Two zeroes

c.

One zero

d.

Three zeroes

## Question number: 159

Edit
MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

= 0

b.

= 3

c.

d.

## Question number: 160

Edit
MCQ▾

### Question

Neha and Anjali have some books with them. Once Anjali said to Neha that if Neha gives 10 books to Anjali then Neha will have only of the books that Anjali will have with him. Then Neha asked frankly that if Anjali gives him only 15 books (to Neha), then Anjali will have as many books as Neha will have. The total number of books that Neha and Anjali have with them is ________

### Choices

Choice (4) Response

a.

60

b.

30

c.

80

d.

40