# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 161 - 169 of 968

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## Question 161

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 162

### Question

MCQ▾

If are the roots of the cubic , the value of is ________

### Choices

Choice (4)Response

a.

22

b.

24

c.

26

d.

28

## Question 163

### Question

MCQ▾

If is a factor of the polynomial , then find the value of k

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 164

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

46

b.

16

c.

36

d.

26

## Question 165

### Question

MCQ▾

is said to be cubic polynomial if ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 166

### Question

MCQ▾

If a and b are the roots of , then is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 167

### Question

MCQ▾

The sum of a two digit number and the number obtained by interchanging the digits of the number is 110. If the digits of the number differ by 8, then numbers are ________

### Choices

Choice (4)Response

a.

61,16

b.

81,18

c.

91,19

d.

71,17

## Question 168

### Question

MCQ▾

If one zero of the cubic polynomial is , then other two zeroes are ________

### Choices

Choice (4)Response

a.

3, -1

b.

3, -1 & -1,3

c.

-1,3

d.

1,3

## Question 169

### Question

MCQ▾

When is divided by , the quotient and remainder is ________

### Choices

Choice (4)Response

a.

b.

c.

d.